Why does paper cut through things so well?

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Paper is an extremely flexible material, at least when it is under sheet form. It means it will deform significantly according to the pressure applied and it is easy to fold it.



Therefore, it is extremely counter-intuitive that a sheet of paper could cut through human skin and probably through stiffer/harder materials, since when the skin applies a pressure on the paper, one would expect it to fold/bend apart. Yet it is easy to have a severe cut from paper, through both the epidermis and the dermis. How is that possible? Certainly the width of the sheet of paper plays a big role: the smaller it is, the sharpest it is, but also the more flexible it becomes and the less it should sustain an applied pressure without folding apart!



I can think of other materials such as thin plastic films and aluminium foils. My intuition tells the plastic foil would not cut through skin but the Al foil would, although I am not sure since I did not try the experiment. If this hold true, what determines whether a material would be able to cut through skin? A hair for example, which is flexible and thiner than a paper sheet, is unable to cut through the skin... What makes paper stand out? What is so different that makes it a good cutter?



Maybe it has to do with its microscopic properties and that it contains many fibers, but I highly doubt it because the Al foil does not contain these and yet would probably cut as well.










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  • 13




    Normal Al foil tends to bend rather than cut, but you can get nasty cuts from the super-heavy foil that's used to seal cans, eg of powdered milk.
    – PM 2Ring
    Sep 10 at 11:18






  • 10




    I've had an aluminium foil cut once. It was vicious.
    – David Richerby
    Sep 10 at 14:01






  • 48




    I thought this question was going to be about why it is so easy to cut through paper with scissors. And now I want to know the answer to that question.
    – spacetyper
    Sep 10 at 14:20






  • 6




    Who told you that a hair is unable to cut through skin? I don't recall for sure, but I thought I had experienced that before. However, I do remember that I have been cut by grass, both grass blades (similar to paper), and thin round grassy stalks (when they were firmly rooted and I tried too hard to pull them out).
    – Aaron
    2 days ago






  • 3




    @Aaron I don't know about hair, but Pampas grass in particular is so prone to cutting skin that kids who grew up in parts of Northern California, where it is invasive, call it 'cut-grass.'
    – reve_etrange
    2 days ago














up vote
88
down vote

favorite
17












Paper is an extremely flexible material, at least when it is under sheet form. It means it will deform significantly according to the pressure applied and it is easy to fold it.



Therefore, it is extremely counter-intuitive that a sheet of paper could cut through human skin and probably through stiffer/harder materials, since when the skin applies a pressure on the paper, one would expect it to fold/bend apart. Yet it is easy to have a severe cut from paper, through both the epidermis and the dermis. How is that possible? Certainly the width of the sheet of paper plays a big role: the smaller it is, the sharpest it is, but also the more flexible it becomes and the less it should sustain an applied pressure without folding apart!



I can think of other materials such as thin plastic films and aluminium foils. My intuition tells the plastic foil would not cut through skin but the Al foil would, although I am not sure since I did not try the experiment. If this hold true, what determines whether a material would be able to cut through skin? A hair for example, which is flexible and thiner than a paper sheet, is unable to cut through the skin... What makes paper stand out? What is so different that makes it a good cutter?



Maybe it has to do with its microscopic properties and that it contains many fibers, but I highly doubt it because the Al foil does not contain these and yet would probably cut as well.










share|cite|improve this question



















  • 13




    Normal Al foil tends to bend rather than cut, but you can get nasty cuts from the super-heavy foil that's used to seal cans, eg of powdered milk.
    – PM 2Ring
    Sep 10 at 11:18






  • 10




    I've had an aluminium foil cut once. It was vicious.
    – David Richerby
    Sep 10 at 14:01






  • 48




    I thought this question was going to be about why it is so easy to cut through paper with scissors. And now I want to know the answer to that question.
    – spacetyper
    Sep 10 at 14:20






  • 6




    Who told you that a hair is unable to cut through skin? I don't recall for sure, but I thought I had experienced that before. However, I do remember that I have been cut by grass, both grass blades (similar to paper), and thin round grassy stalks (when they were firmly rooted and I tried too hard to pull them out).
    – Aaron
    2 days ago






  • 3




    @Aaron I don't know about hair, but Pampas grass in particular is so prone to cutting skin that kids who grew up in parts of Northern California, where it is invasive, call it 'cut-grass.'
    – reve_etrange
    2 days ago












up vote
88
down vote

favorite
17









up vote
88
down vote

favorite
17






17





Paper is an extremely flexible material, at least when it is under sheet form. It means it will deform significantly according to the pressure applied and it is easy to fold it.



Therefore, it is extremely counter-intuitive that a sheet of paper could cut through human skin and probably through stiffer/harder materials, since when the skin applies a pressure on the paper, one would expect it to fold/bend apart. Yet it is easy to have a severe cut from paper, through both the epidermis and the dermis. How is that possible? Certainly the width of the sheet of paper plays a big role: the smaller it is, the sharpest it is, but also the more flexible it becomes and the less it should sustain an applied pressure without folding apart!



I can think of other materials such as thin plastic films and aluminium foils. My intuition tells the plastic foil would not cut through skin but the Al foil would, although I am not sure since I did not try the experiment. If this hold true, what determines whether a material would be able to cut through skin? A hair for example, which is flexible and thiner than a paper sheet, is unable to cut through the skin... What makes paper stand out? What is so different that makes it a good cutter?



Maybe it has to do with its microscopic properties and that it contains many fibers, but I highly doubt it because the Al foil does not contain these and yet would probably cut as well.










share|cite|improve this question















Paper is an extremely flexible material, at least when it is under sheet form. It means it will deform significantly according to the pressure applied and it is easy to fold it.



Therefore, it is extremely counter-intuitive that a sheet of paper could cut through human skin and probably through stiffer/harder materials, since when the skin applies a pressure on the paper, one would expect it to fold/bend apart. Yet it is easy to have a severe cut from paper, through both the epidermis and the dermis. How is that possible? Certainly the width of the sheet of paper plays a big role: the smaller it is, the sharpest it is, but also the more flexible it becomes and the less it should sustain an applied pressure without folding apart!



I can think of other materials such as thin plastic films and aluminium foils. My intuition tells the plastic foil would not cut through skin but the Al foil would, although I am not sure since I did not try the experiment. If this hold true, what determines whether a material would be able to cut through skin? A hair for example, which is flexible and thiner than a paper sheet, is unable to cut through the skin... What makes paper stand out? What is so different that makes it a good cutter?



Maybe it has to do with its microscopic properties and that it contains many fibers, but I highly doubt it because the Al foil does not contain these and yet would probably cut as well.







everyday-life material-science






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edited 10 mins ago

























asked Sep 10 at 10:07









coniferous_smellerULPBG-W8ZgjR

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  • 13




    Normal Al foil tends to bend rather than cut, but you can get nasty cuts from the super-heavy foil that's used to seal cans, eg of powdered milk.
    – PM 2Ring
    Sep 10 at 11:18






  • 10




    I've had an aluminium foil cut once. It was vicious.
    – David Richerby
    Sep 10 at 14:01






  • 48




    I thought this question was going to be about why it is so easy to cut through paper with scissors. And now I want to know the answer to that question.
    – spacetyper
    Sep 10 at 14:20






  • 6




    Who told you that a hair is unable to cut through skin? I don't recall for sure, but I thought I had experienced that before. However, I do remember that I have been cut by grass, both grass blades (similar to paper), and thin round grassy stalks (when they were firmly rooted and I tried too hard to pull them out).
    – Aaron
    2 days ago






  • 3




    @Aaron I don't know about hair, but Pampas grass in particular is so prone to cutting skin that kids who grew up in parts of Northern California, where it is invasive, call it 'cut-grass.'
    – reve_etrange
    2 days ago












  • 13




    Normal Al foil tends to bend rather than cut, but you can get nasty cuts from the super-heavy foil that's used to seal cans, eg of powdered milk.
    – PM 2Ring
    Sep 10 at 11:18






  • 10




    I've had an aluminium foil cut once. It was vicious.
    – David Richerby
    Sep 10 at 14:01






  • 48




    I thought this question was going to be about why it is so easy to cut through paper with scissors. And now I want to know the answer to that question.
    – spacetyper
    Sep 10 at 14:20






  • 6




    Who told you that a hair is unable to cut through skin? I don't recall for sure, but I thought I had experienced that before. However, I do remember that I have been cut by grass, both grass blades (similar to paper), and thin round grassy stalks (when they were firmly rooted and I tried too hard to pull them out).
    – Aaron
    2 days ago






  • 3




    @Aaron I don't know about hair, but Pampas grass in particular is so prone to cutting skin that kids who grew up in parts of Northern California, where it is invasive, call it 'cut-grass.'
    – reve_etrange
    2 days ago







13




13




Normal Al foil tends to bend rather than cut, but you can get nasty cuts from the super-heavy foil that's used to seal cans, eg of powdered milk.
– PM 2Ring
Sep 10 at 11:18




Normal Al foil tends to bend rather than cut, but you can get nasty cuts from the super-heavy foil that's used to seal cans, eg of powdered milk.
– PM 2Ring
Sep 10 at 11:18




10




10




I've had an aluminium foil cut once. It was vicious.
– David Richerby
Sep 10 at 14:01




I've had an aluminium foil cut once. It was vicious.
– David Richerby
Sep 10 at 14:01




48




48




I thought this question was going to be about why it is so easy to cut through paper with scissors. And now I want to know the answer to that question.
– spacetyper
Sep 10 at 14:20




I thought this question was going to be about why it is so easy to cut through paper with scissors. And now I want to know the answer to that question.
– spacetyper
Sep 10 at 14:20




6




6




Who told you that a hair is unable to cut through skin? I don't recall for sure, but I thought I had experienced that before. However, I do remember that I have been cut by grass, both grass blades (similar to paper), and thin round grassy stalks (when they were firmly rooted and I tried too hard to pull them out).
– Aaron
2 days ago




Who told you that a hair is unable to cut through skin? I don't recall for sure, but I thought I had experienced that before. However, I do remember that I have been cut by grass, both grass blades (similar to paper), and thin round grassy stalks (when they were firmly rooted and I tried too hard to pull them out).
– Aaron
2 days ago




3




3




@Aaron I don't know about hair, but Pampas grass in particular is so prone to cutting skin that kids who grew up in parts of Northern California, where it is invasive, call it 'cut-grass.'
– reve_etrange
2 days ago




@Aaron I don't know about hair, but Pampas grass in particular is so prone to cutting skin that kids who grew up in parts of Northern California, where it is invasive, call it 'cut-grass.'
– reve_etrange
2 days ago










5 Answers
5






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up vote
114
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Paper, especially when freshly cut, might appear to have smooth edges, but in reality, its edges are serrated (i.e. having a jagged edge), making it more like a saw than a smooth blade. This enables the paper to tear through the skin fairly easily. The jagged edges greatly reduce contact area, and causes the pressure applied to be rather high. Thus, the skin can be easily punctured, and as the paper moves in a transverse direction, the jagged edge will tear the skin open.



Paper may bend easily, but it's very resistant to lateral compression (along its surface). Try squeezing a few sheets of paper in a direction parallel to its surface (preferably by placing them flat on a table and attempting to "compress" it laterally), and you will see what I mean. This is analogous to cutting skin with a metal saw versus a rubber one. The paper is more like a metal one in this case. Paper is rather stiff in short lengths, such as a single piece of paper jutting out from a stack (which is what causes cuts a lot of the time). Most of the time, holding a single large piece of paper and pressing it against your skin won't do much more than bend the paper, but holding it such that only a small length is exposed will make it much harder to bend. The normal force from your skin and the downward force form what is known as a torque couple. There is a certain threshold torque before the paper gives way and bends instead. A shorter length of paper will have a shorter lever arm, which greatly increases the tolerance of the misalignment of the two forces. Holding the paper at a longer length away decreases this threshold (i.e. you have to press down much more precisely over the contact point for the paper to not bend). This is also an important factor in determining whether the paper presses into your skin or simply bends.



Paper is made of cellulose short fibers/pulp, which are attached to each other through hydrogen bonding and possibly a finishing layer. When paper is bent or folded, fibers at the folding line separate and detach, making the paper much weaker. Even if we unfold the folded paper, those detached fibers do not re-attach to each other as before, so the folding line remains as a mechanically weak region and decreasing its stiffness. This is why freshly made, unfolded paper is also more likely to cause cuts.



Lastly, whether a piece of paper cuts skin easily, of course depends on its stiffness. This is why office paper is much more likely to cut you than toilet paper. The paper's density (mass per unit area), also known as grammage, has a direct influence on its stiffness.






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  • 52




    This is indeed a good answer, but leaves several questions unanswered. For example, why can't I read this answer without my face twisting and hands clenching?
    – maxathousand
    Sep 10 at 13:28






  • 19




    @maxathousand Because it mentions paper cuts and toilet paper in the same sentence?
    – David Richerby
    Sep 10 at 14:04






  • 1




    And of course flexible things can cut quite well, for instance wire saws like these: en.wikipedia.org/wiki/Wire_saw or the more common ones used for camping.
    – jamesqf
    2 days ago







  • 1




    I'm not sure the fact that the edges are serrated is enough to ensure that paper cuts well. I think it would be nice if you edited your answer with Floris's information that the edges actually contain extra materials that are "hard" and so makes it easy to understand why paper cuts so well. Both of your answers are thus far complementing well each other's.
    – coniferous_smellerULPBG-W8ZgjR
    yesterday






  • 4




    @coniferous_smellerULPBG-W8ZgjR: What make the edges of paper serrated are the very fibers out of which the paper is made of - it has nothing fundamentally to do with filler particles (although they can enhance the sharpness).
    – user7777777
    yesterday


















up vote
41
down vote














Paper is an extremely flexible material




This is true, but only in one direction at any given time. When you curve paper across a single axis it adds a massive amount of stiffness to the other axis. See SHUKHOV'S HYPERBOLOIDS and how this uses double curvature strengthening. It is best shown in this picture taken from the article.



Illustration of double curvature strength: A piece of paper shaped like a pizza slice supports a cantilever load when it's forced to bend in double curvature. (Photo by John Lienhard)



My guess is that the majority of paper cuts will happen when there is some amount of curvature on the axis that is normal to the cutting edge of the paper. When the curvature is parallel to the cutting edge, the paper will simply bend more.



When paper is used as a disk cutter, as shown in this video provided by sammy gerbil, it is stiffened by centrifugal force from the very high angular speeds of the disk cutter.



So, in summary, paper is good at cutting because its material properties allow it to act stiff (in a given direction), as well as all of the other answers provided such as jagged edges/sawing effect.






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  • 6




    Also note blades of grass are often curved in the same way!
    – reve_etrange
    2 days ago






  • 3




    I think another way of putting this is that paper is inelastic (has a high modulus). You can bend a sheet of paper out of it's own plane, but you can't stretch or compress it in the direction of that plane. This is why you get the properties described in the article you cited.
    – Dave Tweed
    yesterday










  • @DaveTweed that's a nice info. Feel free to edit josh's answer.
    – coniferous_smellerULPBG-W8ZgjR
    yesterday










  • sorry but your guess is wrong. the only thing that matters to the cutting effect is the speed and direction of the paper's motion relative the object it is cutting.
    – vulcan_
    yesterday






  • 1




    @vulcan_ while my guess could still be wrong, you reasoning doesn't seem to be correct as to why it could be wrong. There must be some force acting normal to the plane we are cutting. If there is no rigidity to the paper, it will simply bend instead of cut. This is why tissue paper doesn't cut and writing paper does.
    – josh
    6 hours ago


















up vote
22
down vote













Paper contains filler particles. These are microscopic “knives” - see for example this picture (Precipitated Calcium Carbonate, from this paper)



enter image description here



When paper is freshly cut, such particles (CaCO3, TiO2, ...) are exposed on the edge. They act like any serrated blade, cutting and removing small amounts of material as you slide the edge along a surface (like your finger...). Many of these together can “eat” enough of your skin to make a cut.






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  • 17




    Do you have a citation to show it's indeed these fillers that are responsible for the cutting? I don't know much about paper manufacture, but I'd think applications where appearance isn't as important, such as cardboard boxes, would have less filler. Yet some of the worst paper cuts I've had are from boxes.
    – Phil Frost
    Sep 10 at 14:52










  • @PhilFrost - it's a fair point. I recall this from materials science lectures in the '80s - before lecture notes were posted online. If I can find something I will add it. The glue (binder) holding paper together also makes the fibers into an effective knife edge; and cardboard has a lot of binder...
    – Floris
    Sep 10 at 16:49






  • 1




    I like this answer because it's the only one so far that mention these extra materials on the edges of the sheet of paper.
    – coniferous_smellerULPBG-W8ZgjR
    yesterday






  • 1




    The materials your mention on the cut edges are from the clay or plastic used to finish some papers, they will not be present on most (cheaper) papers. The cutting effect of paper is more due to it being an extremely thing edge moving fast enough in the direction of the edge to slice through what it hits.
    – vulcan_
    yesterday

















up vote
14
down vote













It's mostly the movement along the paper edge. It results in a sawing effect on your skin.



You can easily try to push on freshly cut paper (without moving along the edge), and it will be nearly impossible to cut yourself. As soon as you move along the edge(don't try this, or try on your own risk), the sawing effect will quickly cut you.






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    up vote
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    There are some good answers here already, but there is also some misinformation.
    Paper as a material is essentially a fibre composite material .. compressed, felted, fibres bonded by glue, and possibly surface treated to enhance smoothness. It is a very thin sheet with a microscopic saw edge that when constrained against bending and in motion along the edges direction relative to another object can cut soft materials readily.



    old paper will cut as readily as new and folding, curving, or any other structural configuration make no contribution to the paper cutting effect. the only thing that mattes is that the edge is thin and moving, relative to the thing being cut.



    the extreme example of the paper cutting effect can be seen in this video
    https://www.youtube.com/watch?v=eLXHLRa37_g
    Mister Maker takes advantage of the stiffening effect of centrifugal force to use paper to slice and dice a variety of materials






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    • Although it is also possible to cut yourself with old paper (well-stored paper changes its properties only very slowly over time), fresh paper does cut significantly better. In particular, bending paper multiple times in different directions softens it up and then it won't easily keep the edge against your skin anymore. Centrifugal force is a different matter and doesn't rely on stiffness, but this is completely different from every accidental papercuts.
      – leftaroundabout
      8 hours ago











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    5 Answers
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    5 Answers
    5






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    up vote
    114
    down vote













    Paper, especially when freshly cut, might appear to have smooth edges, but in reality, its edges are serrated (i.e. having a jagged edge), making it more like a saw than a smooth blade. This enables the paper to tear through the skin fairly easily. The jagged edges greatly reduce contact area, and causes the pressure applied to be rather high. Thus, the skin can be easily punctured, and as the paper moves in a transverse direction, the jagged edge will tear the skin open.



    Paper may bend easily, but it's very resistant to lateral compression (along its surface). Try squeezing a few sheets of paper in a direction parallel to its surface (preferably by placing them flat on a table and attempting to "compress" it laterally), and you will see what I mean. This is analogous to cutting skin with a metal saw versus a rubber one. The paper is more like a metal one in this case. Paper is rather stiff in short lengths, such as a single piece of paper jutting out from a stack (which is what causes cuts a lot of the time). Most of the time, holding a single large piece of paper and pressing it against your skin won't do much more than bend the paper, but holding it such that only a small length is exposed will make it much harder to bend. The normal force from your skin and the downward force form what is known as a torque couple. There is a certain threshold torque before the paper gives way and bends instead. A shorter length of paper will have a shorter lever arm, which greatly increases the tolerance of the misalignment of the two forces. Holding the paper at a longer length away decreases this threshold (i.e. you have to press down much more precisely over the contact point for the paper to not bend). This is also an important factor in determining whether the paper presses into your skin or simply bends.



    Paper is made of cellulose short fibers/pulp, which are attached to each other through hydrogen bonding and possibly a finishing layer. When paper is bent or folded, fibers at the folding line separate and detach, making the paper much weaker. Even if we unfold the folded paper, those detached fibers do not re-attach to each other as before, so the folding line remains as a mechanically weak region and decreasing its stiffness. This is why freshly made, unfolded paper is also more likely to cause cuts.



    Lastly, whether a piece of paper cuts skin easily, of course depends on its stiffness. This is why office paper is much more likely to cut you than toilet paper. The paper's density (mass per unit area), also known as grammage, has a direct influence on its stiffness.






    share|cite|improve this answer


















    • 52




      This is indeed a good answer, but leaves several questions unanswered. For example, why can't I read this answer without my face twisting and hands clenching?
      – maxathousand
      Sep 10 at 13:28






    • 19




      @maxathousand Because it mentions paper cuts and toilet paper in the same sentence?
      – David Richerby
      Sep 10 at 14:04






    • 1




      And of course flexible things can cut quite well, for instance wire saws like these: en.wikipedia.org/wiki/Wire_saw or the more common ones used for camping.
      – jamesqf
      2 days ago







    • 1




      I'm not sure the fact that the edges are serrated is enough to ensure that paper cuts well. I think it would be nice if you edited your answer with Floris's information that the edges actually contain extra materials that are "hard" and so makes it easy to understand why paper cuts so well. Both of your answers are thus far complementing well each other's.
      – coniferous_smellerULPBG-W8ZgjR
      yesterday






    • 4




      @coniferous_smellerULPBG-W8ZgjR: What make the edges of paper serrated are the very fibers out of which the paper is made of - it has nothing fundamentally to do with filler particles (although they can enhance the sharpness).
      – user7777777
      yesterday















    up vote
    114
    down vote













    Paper, especially when freshly cut, might appear to have smooth edges, but in reality, its edges are serrated (i.e. having a jagged edge), making it more like a saw than a smooth blade. This enables the paper to tear through the skin fairly easily. The jagged edges greatly reduce contact area, and causes the pressure applied to be rather high. Thus, the skin can be easily punctured, and as the paper moves in a transverse direction, the jagged edge will tear the skin open.



    Paper may bend easily, but it's very resistant to lateral compression (along its surface). Try squeezing a few sheets of paper in a direction parallel to its surface (preferably by placing them flat on a table and attempting to "compress" it laterally), and you will see what I mean. This is analogous to cutting skin with a metal saw versus a rubber one. The paper is more like a metal one in this case. Paper is rather stiff in short lengths, such as a single piece of paper jutting out from a stack (which is what causes cuts a lot of the time). Most of the time, holding a single large piece of paper and pressing it against your skin won't do much more than bend the paper, but holding it such that only a small length is exposed will make it much harder to bend. The normal force from your skin and the downward force form what is known as a torque couple. There is a certain threshold torque before the paper gives way and bends instead. A shorter length of paper will have a shorter lever arm, which greatly increases the tolerance of the misalignment of the two forces. Holding the paper at a longer length away decreases this threshold (i.e. you have to press down much more precisely over the contact point for the paper to not bend). This is also an important factor in determining whether the paper presses into your skin or simply bends.



    Paper is made of cellulose short fibers/pulp, which are attached to each other through hydrogen bonding and possibly a finishing layer. When paper is bent or folded, fibers at the folding line separate and detach, making the paper much weaker. Even if we unfold the folded paper, those detached fibers do not re-attach to each other as before, so the folding line remains as a mechanically weak region and decreasing its stiffness. This is why freshly made, unfolded paper is also more likely to cause cuts.



    Lastly, whether a piece of paper cuts skin easily, of course depends on its stiffness. This is why office paper is much more likely to cut you than toilet paper. The paper's density (mass per unit area), also known as grammage, has a direct influence on its stiffness.






    share|cite|improve this answer


















    • 52




      This is indeed a good answer, but leaves several questions unanswered. For example, why can't I read this answer without my face twisting and hands clenching?
      – maxathousand
      Sep 10 at 13:28






    • 19




      @maxathousand Because it mentions paper cuts and toilet paper in the same sentence?
      – David Richerby
      Sep 10 at 14:04






    • 1




      And of course flexible things can cut quite well, for instance wire saws like these: en.wikipedia.org/wiki/Wire_saw or the more common ones used for camping.
      – jamesqf
      2 days ago







    • 1




      I'm not sure the fact that the edges are serrated is enough to ensure that paper cuts well. I think it would be nice if you edited your answer with Floris's information that the edges actually contain extra materials that are "hard" and so makes it easy to understand why paper cuts so well. Both of your answers are thus far complementing well each other's.
      – coniferous_smellerULPBG-W8ZgjR
      yesterday






    • 4




      @coniferous_smellerULPBG-W8ZgjR: What make the edges of paper serrated are the very fibers out of which the paper is made of - it has nothing fundamentally to do with filler particles (although they can enhance the sharpness).
      – user7777777
      yesterday













    up vote
    114
    down vote










    up vote
    114
    down vote









    Paper, especially when freshly cut, might appear to have smooth edges, but in reality, its edges are serrated (i.e. having a jagged edge), making it more like a saw than a smooth blade. This enables the paper to tear through the skin fairly easily. The jagged edges greatly reduce contact area, and causes the pressure applied to be rather high. Thus, the skin can be easily punctured, and as the paper moves in a transverse direction, the jagged edge will tear the skin open.



    Paper may bend easily, but it's very resistant to lateral compression (along its surface). Try squeezing a few sheets of paper in a direction parallel to its surface (preferably by placing them flat on a table and attempting to "compress" it laterally), and you will see what I mean. This is analogous to cutting skin with a metal saw versus a rubber one. The paper is more like a metal one in this case. Paper is rather stiff in short lengths, such as a single piece of paper jutting out from a stack (which is what causes cuts a lot of the time). Most of the time, holding a single large piece of paper and pressing it against your skin won't do much more than bend the paper, but holding it such that only a small length is exposed will make it much harder to bend. The normal force from your skin and the downward force form what is known as a torque couple. There is a certain threshold torque before the paper gives way and bends instead. A shorter length of paper will have a shorter lever arm, which greatly increases the tolerance of the misalignment of the two forces. Holding the paper at a longer length away decreases this threshold (i.e. you have to press down much more precisely over the contact point for the paper to not bend). This is also an important factor in determining whether the paper presses into your skin or simply bends.



    Paper is made of cellulose short fibers/pulp, which are attached to each other through hydrogen bonding and possibly a finishing layer. When paper is bent or folded, fibers at the folding line separate and detach, making the paper much weaker. Even if we unfold the folded paper, those detached fibers do not re-attach to each other as before, so the folding line remains as a mechanically weak region and decreasing its stiffness. This is why freshly made, unfolded paper is also more likely to cause cuts.



    Lastly, whether a piece of paper cuts skin easily, of course depends on its stiffness. This is why office paper is much more likely to cut you than toilet paper. The paper's density (mass per unit area), also known as grammage, has a direct influence on its stiffness.






    share|cite|improve this answer














    Paper, especially when freshly cut, might appear to have smooth edges, but in reality, its edges are serrated (i.e. having a jagged edge), making it more like a saw than a smooth blade. This enables the paper to tear through the skin fairly easily. The jagged edges greatly reduce contact area, and causes the pressure applied to be rather high. Thus, the skin can be easily punctured, and as the paper moves in a transverse direction, the jagged edge will tear the skin open.



    Paper may bend easily, but it's very resistant to lateral compression (along its surface). Try squeezing a few sheets of paper in a direction parallel to its surface (preferably by placing them flat on a table and attempting to "compress" it laterally), and you will see what I mean. This is analogous to cutting skin with a metal saw versus a rubber one. The paper is more like a metal one in this case. Paper is rather stiff in short lengths, such as a single piece of paper jutting out from a stack (which is what causes cuts a lot of the time). Most of the time, holding a single large piece of paper and pressing it against your skin won't do much more than bend the paper, but holding it such that only a small length is exposed will make it much harder to bend. The normal force from your skin and the downward force form what is known as a torque couple. There is a certain threshold torque before the paper gives way and bends instead. A shorter length of paper will have a shorter lever arm, which greatly increases the tolerance of the misalignment of the two forces. Holding the paper at a longer length away decreases this threshold (i.e. you have to press down much more precisely over the contact point for the paper to not bend). This is also an important factor in determining whether the paper presses into your skin or simply bends.



    Paper is made of cellulose short fibers/pulp, which are attached to each other through hydrogen bonding and possibly a finishing layer. When paper is bent or folded, fibers at the folding line separate and detach, making the paper much weaker. Even if we unfold the folded paper, those detached fibers do not re-attach to each other as before, so the folding line remains as a mechanically weak region and decreasing its stiffness. This is why freshly made, unfolded paper is also more likely to cause cuts.



    Lastly, whether a piece of paper cuts skin easily, of course depends on its stiffness. This is why office paper is much more likely to cut you than toilet paper. The paper's density (mass per unit area), also known as grammage, has a direct influence on its stiffness.







    share|cite|improve this answer














    share|cite|improve this answer



    share|cite|improve this answer








    edited 3 hours ago

























    answered Sep 10 at 10:36









    user7777777

    1,5841115




    1,5841115







    • 52




      This is indeed a good answer, but leaves several questions unanswered. For example, why can't I read this answer without my face twisting and hands clenching?
      – maxathousand
      Sep 10 at 13:28






    • 19




      @maxathousand Because it mentions paper cuts and toilet paper in the same sentence?
      – David Richerby
      Sep 10 at 14:04






    • 1




      And of course flexible things can cut quite well, for instance wire saws like these: en.wikipedia.org/wiki/Wire_saw or the more common ones used for camping.
      – jamesqf
      2 days ago







    • 1




      I'm not sure the fact that the edges are serrated is enough to ensure that paper cuts well. I think it would be nice if you edited your answer with Floris's information that the edges actually contain extra materials that are "hard" and so makes it easy to understand why paper cuts so well. Both of your answers are thus far complementing well each other's.
      – coniferous_smellerULPBG-W8ZgjR
      yesterday






    • 4




      @coniferous_smellerULPBG-W8ZgjR: What make the edges of paper serrated are the very fibers out of which the paper is made of - it has nothing fundamentally to do with filler particles (although they can enhance the sharpness).
      – user7777777
      yesterday













    • 52




      This is indeed a good answer, but leaves several questions unanswered. For example, why can't I read this answer without my face twisting and hands clenching?
      – maxathousand
      Sep 10 at 13:28






    • 19




      @maxathousand Because it mentions paper cuts and toilet paper in the same sentence?
      – David Richerby
      Sep 10 at 14:04






    • 1




      And of course flexible things can cut quite well, for instance wire saws like these: en.wikipedia.org/wiki/Wire_saw or the more common ones used for camping.
      – jamesqf
      2 days ago







    • 1




      I'm not sure the fact that the edges are serrated is enough to ensure that paper cuts well. I think it would be nice if you edited your answer with Floris's information that the edges actually contain extra materials that are "hard" and so makes it easy to understand why paper cuts so well. Both of your answers are thus far complementing well each other's.
      – coniferous_smellerULPBG-W8ZgjR
      yesterday






    • 4




      @coniferous_smellerULPBG-W8ZgjR: What make the edges of paper serrated are the very fibers out of which the paper is made of - it has nothing fundamentally to do with filler particles (although they can enhance the sharpness).
      – user7777777
      yesterday








    52




    52




    This is indeed a good answer, but leaves several questions unanswered. For example, why can't I read this answer without my face twisting and hands clenching?
    – maxathousand
    Sep 10 at 13:28




    This is indeed a good answer, but leaves several questions unanswered. For example, why can't I read this answer without my face twisting and hands clenching?
    – maxathousand
    Sep 10 at 13:28




    19




    19




    @maxathousand Because it mentions paper cuts and toilet paper in the same sentence?
    – David Richerby
    Sep 10 at 14:04




    @maxathousand Because it mentions paper cuts and toilet paper in the same sentence?
    – David Richerby
    Sep 10 at 14:04




    1




    1




    And of course flexible things can cut quite well, for instance wire saws like these: en.wikipedia.org/wiki/Wire_saw or the more common ones used for camping.
    – jamesqf
    2 days ago





    And of course flexible things can cut quite well, for instance wire saws like these: en.wikipedia.org/wiki/Wire_saw or the more common ones used for camping.
    – jamesqf
    2 days ago





    1




    1




    I'm not sure the fact that the edges are serrated is enough to ensure that paper cuts well. I think it would be nice if you edited your answer with Floris's information that the edges actually contain extra materials that are "hard" and so makes it easy to understand why paper cuts so well. Both of your answers are thus far complementing well each other's.
    – coniferous_smellerULPBG-W8ZgjR
    yesterday




    I'm not sure the fact that the edges are serrated is enough to ensure that paper cuts well. I think it would be nice if you edited your answer with Floris's information that the edges actually contain extra materials that are "hard" and so makes it easy to understand why paper cuts so well. Both of your answers are thus far complementing well each other's.
    – coniferous_smellerULPBG-W8ZgjR
    yesterday




    4




    4




    @coniferous_smellerULPBG-W8ZgjR: What make the edges of paper serrated are the very fibers out of which the paper is made of - it has nothing fundamentally to do with filler particles (although they can enhance the sharpness).
    – user7777777
    yesterday





    @coniferous_smellerULPBG-W8ZgjR: What make the edges of paper serrated are the very fibers out of which the paper is made of - it has nothing fundamentally to do with filler particles (although they can enhance the sharpness).
    – user7777777
    yesterday











    up vote
    41
    down vote














    Paper is an extremely flexible material




    This is true, but only in one direction at any given time. When you curve paper across a single axis it adds a massive amount of stiffness to the other axis. See SHUKHOV'S HYPERBOLOIDS and how this uses double curvature strengthening. It is best shown in this picture taken from the article.



    Illustration of double curvature strength: A piece of paper shaped like a pizza slice supports a cantilever load when it's forced to bend in double curvature. (Photo by John Lienhard)



    My guess is that the majority of paper cuts will happen when there is some amount of curvature on the axis that is normal to the cutting edge of the paper. When the curvature is parallel to the cutting edge, the paper will simply bend more.



    When paper is used as a disk cutter, as shown in this video provided by sammy gerbil, it is stiffened by centrifugal force from the very high angular speeds of the disk cutter.



    So, in summary, paper is good at cutting because its material properties allow it to act stiff (in a given direction), as well as all of the other answers provided such as jagged edges/sawing effect.






    share|cite|improve this answer
















    • 6




      Also note blades of grass are often curved in the same way!
      – reve_etrange
      2 days ago






    • 3




      I think another way of putting this is that paper is inelastic (has a high modulus). You can bend a sheet of paper out of it's own plane, but you can't stretch or compress it in the direction of that plane. This is why you get the properties described in the article you cited.
      – Dave Tweed
      yesterday










    • @DaveTweed that's a nice info. Feel free to edit josh's answer.
      – coniferous_smellerULPBG-W8ZgjR
      yesterday










    • sorry but your guess is wrong. the only thing that matters to the cutting effect is the speed and direction of the paper's motion relative the object it is cutting.
      – vulcan_
      yesterday






    • 1




      @vulcan_ while my guess could still be wrong, you reasoning doesn't seem to be correct as to why it could be wrong. There must be some force acting normal to the plane we are cutting. If there is no rigidity to the paper, it will simply bend instead of cut. This is why tissue paper doesn't cut and writing paper does.
      – josh
      6 hours ago















    up vote
    41
    down vote














    Paper is an extremely flexible material




    This is true, but only in one direction at any given time. When you curve paper across a single axis it adds a massive amount of stiffness to the other axis. See SHUKHOV'S HYPERBOLOIDS and how this uses double curvature strengthening. It is best shown in this picture taken from the article.



    Illustration of double curvature strength: A piece of paper shaped like a pizza slice supports a cantilever load when it's forced to bend in double curvature. (Photo by John Lienhard)



    My guess is that the majority of paper cuts will happen when there is some amount of curvature on the axis that is normal to the cutting edge of the paper. When the curvature is parallel to the cutting edge, the paper will simply bend more.



    When paper is used as a disk cutter, as shown in this video provided by sammy gerbil, it is stiffened by centrifugal force from the very high angular speeds of the disk cutter.



    So, in summary, paper is good at cutting because its material properties allow it to act stiff (in a given direction), as well as all of the other answers provided such as jagged edges/sawing effect.






    share|cite|improve this answer
















    • 6




      Also note blades of grass are often curved in the same way!
      – reve_etrange
      2 days ago






    • 3




      I think another way of putting this is that paper is inelastic (has a high modulus). You can bend a sheet of paper out of it's own plane, but you can't stretch or compress it in the direction of that plane. This is why you get the properties described in the article you cited.
      – Dave Tweed
      yesterday










    • @DaveTweed that's a nice info. Feel free to edit josh's answer.
      – coniferous_smellerULPBG-W8ZgjR
      yesterday










    • sorry but your guess is wrong. the only thing that matters to the cutting effect is the speed and direction of the paper's motion relative the object it is cutting.
      – vulcan_
      yesterday






    • 1




      @vulcan_ while my guess could still be wrong, you reasoning doesn't seem to be correct as to why it could be wrong. There must be some force acting normal to the plane we are cutting. If there is no rigidity to the paper, it will simply bend instead of cut. This is why tissue paper doesn't cut and writing paper does.
      – josh
      6 hours ago













    up vote
    41
    down vote










    up vote
    41
    down vote










    Paper is an extremely flexible material




    This is true, but only in one direction at any given time. When you curve paper across a single axis it adds a massive amount of stiffness to the other axis. See SHUKHOV'S HYPERBOLOIDS and how this uses double curvature strengthening. It is best shown in this picture taken from the article.



    Illustration of double curvature strength: A piece of paper shaped like a pizza slice supports a cantilever load when it's forced to bend in double curvature. (Photo by John Lienhard)



    My guess is that the majority of paper cuts will happen when there is some amount of curvature on the axis that is normal to the cutting edge of the paper. When the curvature is parallel to the cutting edge, the paper will simply bend more.



    When paper is used as a disk cutter, as shown in this video provided by sammy gerbil, it is stiffened by centrifugal force from the very high angular speeds of the disk cutter.



    So, in summary, paper is good at cutting because its material properties allow it to act stiff (in a given direction), as well as all of the other answers provided such as jagged edges/sawing effect.






    share|cite|improve this answer













    Paper is an extremely flexible material




    This is true, but only in one direction at any given time. When you curve paper across a single axis it adds a massive amount of stiffness to the other axis. See SHUKHOV'S HYPERBOLOIDS and how this uses double curvature strengthening. It is best shown in this picture taken from the article.



    Illustration of double curvature strength: A piece of paper shaped like a pizza slice supports a cantilever load when it's forced to bend in double curvature. (Photo by John Lienhard)



    My guess is that the majority of paper cuts will happen when there is some amount of curvature on the axis that is normal to the cutting edge of the paper. When the curvature is parallel to the cutting edge, the paper will simply bend more.



    When paper is used as a disk cutter, as shown in this video provided by sammy gerbil, it is stiffened by centrifugal force from the very high angular speeds of the disk cutter.



    So, in summary, paper is good at cutting because its material properties allow it to act stiff (in a given direction), as well as all of the other answers provided such as jagged edges/sawing effect.







    share|cite|improve this answer












    share|cite|improve this answer



    share|cite|improve this answer










    answered Sep 10 at 15:16









    josh

    52546




    52546







    • 6




      Also note blades of grass are often curved in the same way!
      – reve_etrange
      2 days ago






    • 3




      I think another way of putting this is that paper is inelastic (has a high modulus). You can bend a sheet of paper out of it's own plane, but you can't stretch or compress it in the direction of that plane. This is why you get the properties described in the article you cited.
      – Dave Tweed
      yesterday










    • @DaveTweed that's a nice info. Feel free to edit josh's answer.
      – coniferous_smellerULPBG-W8ZgjR
      yesterday










    • sorry but your guess is wrong. the only thing that matters to the cutting effect is the speed and direction of the paper's motion relative the object it is cutting.
      – vulcan_
      yesterday






    • 1




      @vulcan_ while my guess could still be wrong, you reasoning doesn't seem to be correct as to why it could be wrong. There must be some force acting normal to the plane we are cutting. If there is no rigidity to the paper, it will simply bend instead of cut. This is why tissue paper doesn't cut and writing paper does.
      – josh
      6 hours ago













    • 6




      Also note blades of grass are often curved in the same way!
      – reve_etrange
      2 days ago






    • 3




      I think another way of putting this is that paper is inelastic (has a high modulus). You can bend a sheet of paper out of it's own plane, but you can't stretch or compress it in the direction of that plane. This is why you get the properties described in the article you cited.
      – Dave Tweed
      yesterday










    • @DaveTweed that's a nice info. Feel free to edit josh's answer.
      – coniferous_smellerULPBG-W8ZgjR
      yesterday










    • sorry but your guess is wrong. the only thing that matters to the cutting effect is the speed and direction of the paper's motion relative the object it is cutting.
      – vulcan_
      yesterday






    • 1




      @vulcan_ while my guess could still be wrong, you reasoning doesn't seem to be correct as to why it could be wrong. There must be some force acting normal to the plane we are cutting. If there is no rigidity to the paper, it will simply bend instead of cut. This is why tissue paper doesn't cut and writing paper does.
      – josh
      6 hours ago








    6




    6




    Also note blades of grass are often curved in the same way!
    – reve_etrange
    2 days ago




    Also note blades of grass are often curved in the same way!
    – reve_etrange
    2 days ago




    3




    3




    I think another way of putting this is that paper is inelastic (has a high modulus). You can bend a sheet of paper out of it's own plane, but you can't stretch or compress it in the direction of that plane. This is why you get the properties described in the article you cited.
    – Dave Tweed
    yesterday




    I think another way of putting this is that paper is inelastic (has a high modulus). You can bend a sheet of paper out of it's own plane, but you can't stretch or compress it in the direction of that plane. This is why you get the properties described in the article you cited.
    – Dave Tweed
    yesterday












    @DaveTweed that's a nice info. Feel free to edit josh's answer.
    – coniferous_smellerULPBG-W8ZgjR
    yesterday




    @DaveTweed that's a nice info. Feel free to edit josh's answer.
    – coniferous_smellerULPBG-W8ZgjR
    yesterday












    sorry but your guess is wrong. the only thing that matters to the cutting effect is the speed and direction of the paper's motion relative the object it is cutting.
    – vulcan_
    yesterday




    sorry but your guess is wrong. the only thing that matters to the cutting effect is the speed and direction of the paper's motion relative the object it is cutting.
    – vulcan_
    yesterday




    1




    1




    @vulcan_ while my guess could still be wrong, you reasoning doesn't seem to be correct as to why it could be wrong. There must be some force acting normal to the plane we are cutting. If there is no rigidity to the paper, it will simply bend instead of cut. This is why tissue paper doesn't cut and writing paper does.
    – josh
    6 hours ago





    @vulcan_ while my guess could still be wrong, you reasoning doesn't seem to be correct as to why it could be wrong. There must be some force acting normal to the plane we are cutting. If there is no rigidity to the paper, it will simply bend instead of cut. This is why tissue paper doesn't cut and writing paper does.
    – josh
    6 hours ago











    up vote
    22
    down vote













    Paper contains filler particles. These are microscopic “knives” - see for example this picture (Precipitated Calcium Carbonate, from this paper)



    enter image description here



    When paper is freshly cut, such particles (CaCO3, TiO2, ...) are exposed on the edge. They act like any serrated blade, cutting and removing small amounts of material as you slide the edge along a surface (like your finger...). Many of these together can “eat” enough of your skin to make a cut.






    share|cite|improve this answer
















    • 17




      Do you have a citation to show it's indeed these fillers that are responsible for the cutting? I don't know much about paper manufacture, but I'd think applications where appearance isn't as important, such as cardboard boxes, would have less filler. Yet some of the worst paper cuts I've had are from boxes.
      – Phil Frost
      Sep 10 at 14:52










    • @PhilFrost - it's a fair point. I recall this from materials science lectures in the '80s - before lecture notes were posted online. If I can find something I will add it. The glue (binder) holding paper together also makes the fibers into an effective knife edge; and cardboard has a lot of binder...
      – Floris
      Sep 10 at 16:49






    • 1




      I like this answer because it's the only one so far that mention these extra materials on the edges of the sheet of paper.
      – coniferous_smellerULPBG-W8ZgjR
      yesterday






    • 1




      The materials your mention on the cut edges are from the clay or plastic used to finish some papers, they will not be present on most (cheaper) papers. The cutting effect of paper is more due to it being an extremely thing edge moving fast enough in the direction of the edge to slice through what it hits.
      – vulcan_
      yesterday














    up vote
    22
    down vote













    Paper contains filler particles. These are microscopic “knives” - see for example this picture (Precipitated Calcium Carbonate, from this paper)



    enter image description here



    When paper is freshly cut, such particles (CaCO3, TiO2, ...) are exposed on the edge. They act like any serrated blade, cutting and removing small amounts of material as you slide the edge along a surface (like your finger...). Many of these together can “eat” enough of your skin to make a cut.






    share|cite|improve this answer
















    • 17




      Do you have a citation to show it's indeed these fillers that are responsible for the cutting? I don't know much about paper manufacture, but I'd think applications where appearance isn't as important, such as cardboard boxes, would have less filler. Yet some of the worst paper cuts I've had are from boxes.
      – Phil Frost
      Sep 10 at 14:52










    • @PhilFrost - it's a fair point. I recall this from materials science lectures in the '80s - before lecture notes were posted online. If I can find something I will add it. The glue (binder) holding paper together also makes the fibers into an effective knife edge; and cardboard has a lot of binder...
      – Floris
      Sep 10 at 16:49






    • 1




      I like this answer because it's the only one so far that mention these extra materials on the edges of the sheet of paper.
      – coniferous_smellerULPBG-W8ZgjR
      yesterday






    • 1




      The materials your mention on the cut edges are from the clay or plastic used to finish some papers, they will not be present on most (cheaper) papers. The cutting effect of paper is more due to it being an extremely thing edge moving fast enough in the direction of the edge to slice through what it hits.
      – vulcan_
      yesterday












    up vote
    22
    down vote










    up vote
    22
    down vote









    Paper contains filler particles. These are microscopic “knives” - see for example this picture (Precipitated Calcium Carbonate, from this paper)



    enter image description here



    When paper is freshly cut, such particles (CaCO3, TiO2, ...) are exposed on the edge. They act like any serrated blade, cutting and removing small amounts of material as you slide the edge along a surface (like your finger...). Many of these together can “eat” enough of your skin to make a cut.






    share|cite|improve this answer












    Paper contains filler particles. These are microscopic “knives” - see for example this picture (Precipitated Calcium Carbonate, from this paper)



    enter image description here



    When paper is freshly cut, such particles (CaCO3, TiO2, ...) are exposed on the edge. They act like any serrated blade, cutting and removing small amounts of material as you slide the edge along a surface (like your finger...). Many of these together can “eat” enough of your skin to make a cut.







    share|cite|improve this answer












    share|cite|improve this answer



    share|cite|improve this answer










    answered Sep 10 at 11:19









    Floris

    105k11180313




    105k11180313







    • 17




      Do you have a citation to show it's indeed these fillers that are responsible for the cutting? I don't know much about paper manufacture, but I'd think applications where appearance isn't as important, such as cardboard boxes, would have less filler. Yet some of the worst paper cuts I've had are from boxes.
      – Phil Frost
      Sep 10 at 14:52










    • @PhilFrost - it's a fair point. I recall this from materials science lectures in the '80s - before lecture notes were posted online. If I can find something I will add it. The glue (binder) holding paper together also makes the fibers into an effective knife edge; and cardboard has a lot of binder...
      – Floris
      Sep 10 at 16:49






    • 1




      I like this answer because it's the only one so far that mention these extra materials on the edges of the sheet of paper.
      – coniferous_smellerULPBG-W8ZgjR
      yesterday






    • 1




      The materials your mention on the cut edges are from the clay or plastic used to finish some papers, they will not be present on most (cheaper) papers. The cutting effect of paper is more due to it being an extremely thing edge moving fast enough in the direction of the edge to slice through what it hits.
      – vulcan_
      yesterday












    • 17




      Do you have a citation to show it's indeed these fillers that are responsible for the cutting? I don't know much about paper manufacture, but I'd think applications where appearance isn't as important, such as cardboard boxes, would have less filler. Yet some of the worst paper cuts I've had are from boxes.
      – Phil Frost
      Sep 10 at 14:52










    • @PhilFrost - it's a fair point. I recall this from materials science lectures in the '80s - before lecture notes were posted online. If I can find something I will add it. The glue (binder) holding paper together also makes the fibers into an effective knife edge; and cardboard has a lot of binder...
      – Floris
      Sep 10 at 16:49






    • 1




      I like this answer because it's the only one so far that mention these extra materials on the edges of the sheet of paper.
      – coniferous_smellerULPBG-W8ZgjR
      yesterday






    • 1




      The materials your mention on the cut edges are from the clay or plastic used to finish some papers, they will not be present on most (cheaper) papers. The cutting effect of paper is more due to it being an extremely thing edge moving fast enough in the direction of the edge to slice through what it hits.
      – vulcan_
      yesterday







    17




    17




    Do you have a citation to show it's indeed these fillers that are responsible for the cutting? I don't know much about paper manufacture, but I'd think applications where appearance isn't as important, such as cardboard boxes, would have less filler. Yet some of the worst paper cuts I've had are from boxes.
    – Phil Frost
    Sep 10 at 14:52




    Do you have a citation to show it's indeed these fillers that are responsible for the cutting? I don't know much about paper manufacture, but I'd think applications where appearance isn't as important, such as cardboard boxes, would have less filler. Yet some of the worst paper cuts I've had are from boxes.
    – Phil Frost
    Sep 10 at 14:52












    @PhilFrost - it's a fair point. I recall this from materials science lectures in the '80s - before lecture notes were posted online. If I can find something I will add it. The glue (binder) holding paper together also makes the fibers into an effective knife edge; and cardboard has a lot of binder...
    – Floris
    Sep 10 at 16:49




    @PhilFrost - it's a fair point. I recall this from materials science lectures in the '80s - before lecture notes were posted online. If I can find something I will add it. The glue (binder) holding paper together also makes the fibers into an effective knife edge; and cardboard has a lot of binder...
    – Floris
    Sep 10 at 16:49




    1




    1




    I like this answer because it's the only one so far that mention these extra materials on the edges of the sheet of paper.
    – coniferous_smellerULPBG-W8ZgjR
    yesterday




    I like this answer because it's the only one so far that mention these extra materials on the edges of the sheet of paper.
    – coniferous_smellerULPBG-W8ZgjR
    yesterday




    1




    1




    The materials your mention on the cut edges are from the clay or plastic used to finish some papers, they will not be present on most (cheaper) papers. The cutting effect of paper is more due to it being an extremely thing edge moving fast enough in the direction of the edge to slice through what it hits.
    – vulcan_
    yesterday




    The materials your mention on the cut edges are from the clay or plastic used to finish some papers, they will not be present on most (cheaper) papers. The cutting effect of paper is more due to it being an extremely thing edge moving fast enough in the direction of the edge to slice through what it hits.
    – vulcan_
    yesterday










    up vote
    14
    down vote













    It's mostly the movement along the paper edge. It results in a sawing effect on your skin.



    You can easily try to push on freshly cut paper (without moving along the edge), and it will be nearly impossible to cut yourself. As soon as you move along the edge(don't try this, or try on your own risk), the sawing effect will quickly cut you.






    share|cite|improve this answer
























      up vote
      14
      down vote













      It's mostly the movement along the paper edge. It results in a sawing effect on your skin.



      You can easily try to push on freshly cut paper (without moving along the edge), and it will be nearly impossible to cut yourself. As soon as you move along the edge(don't try this, or try on your own risk), the sawing effect will quickly cut you.






      share|cite|improve this answer






















        up vote
        14
        down vote










        up vote
        14
        down vote









        It's mostly the movement along the paper edge. It results in a sawing effect on your skin.



        You can easily try to push on freshly cut paper (without moving along the edge), and it will be nearly impossible to cut yourself. As soon as you move along the edge(don't try this, or try on your own risk), the sawing effect will quickly cut you.






        share|cite|improve this answer












        It's mostly the movement along the paper edge. It results in a sawing effect on your skin.



        You can easily try to push on freshly cut paper (without moving along the edge), and it will be nearly impossible to cut yourself. As soon as you move along the edge(don't try this, or try on your own risk), the sawing effect will quickly cut you.







        share|cite|improve this answer












        share|cite|improve this answer



        share|cite|improve this answer










        answered Sep 10 at 14:54









        Aganju

        401410




        401410




















            up vote
            2
            down vote













            There are some good answers here already, but there is also some misinformation.
            Paper as a material is essentially a fibre composite material .. compressed, felted, fibres bonded by glue, and possibly surface treated to enhance smoothness. It is a very thin sheet with a microscopic saw edge that when constrained against bending and in motion along the edges direction relative to another object can cut soft materials readily.



            old paper will cut as readily as new and folding, curving, or any other structural configuration make no contribution to the paper cutting effect. the only thing that mattes is that the edge is thin and moving, relative to the thing being cut.



            the extreme example of the paper cutting effect can be seen in this video
            https://www.youtube.com/watch?v=eLXHLRa37_g
            Mister Maker takes advantage of the stiffening effect of centrifugal force to use paper to slice and dice a variety of materials






            share|cite|improve this answer








            New contributor




            vulcan_ is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
            Check out our Code of Conduct.

















            • Although it is also possible to cut yourself with old paper (well-stored paper changes its properties only very slowly over time), fresh paper does cut significantly better. In particular, bending paper multiple times in different directions softens it up and then it won't easily keep the edge against your skin anymore. Centrifugal force is a different matter and doesn't rely on stiffness, but this is completely different from every accidental papercuts.
              – leftaroundabout
              8 hours ago















            up vote
            2
            down vote













            There are some good answers here already, but there is also some misinformation.
            Paper as a material is essentially a fibre composite material .. compressed, felted, fibres bonded by glue, and possibly surface treated to enhance smoothness. It is a very thin sheet with a microscopic saw edge that when constrained against bending and in motion along the edges direction relative to another object can cut soft materials readily.



            old paper will cut as readily as new and folding, curving, or any other structural configuration make no contribution to the paper cutting effect. the only thing that mattes is that the edge is thin and moving, relative to the thing being cut.



            the extreme example of the paper cutting effect can be seen in this video
            https://www.youtube.com/watch?v=eLXHLRa37_g
            Mister Maker takes advantage of the stiffening effect of centrifugal force to use paper to slice and dice a variety of materials






            share|cite|improve this answer








            New contributor




            vulcan_ is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
            Check out our Code of Conduct.

















            • Although it is also possible to cut yourself with old paper (well-stored paper changes its properties only very slowly over time), fresh paper does cut significantly better. In particular, bending paper multiple times in different directions softens it up and then it won't easily keep the edge against your skin anymore. Centrifugal force is a different matter and doesn't rely on stiffness, but this is completely different from every accidental papercuts.
              – leftaroundabout
              8 hours ago













            up vote
            2
            down vote










            up vote
            2
            down vote









            There are some good answers here already, but there is also some misinformation.
            Paper as a material is essentially a fibre composite material .. compressed, felted, fibres bonded by glue, and possibly surface treated to enhance smoothness. It is a very thin sheet with a microscopic saw edge that when constrained against bending and in motion along the edges direction relative to another object can cut soft materials readily.



            old paper will cut as readily as new and folding, curving, or any other structural configuration make no contribution to the paper cutting effect. the only thing that mattes is that the edge is thin and moving, relative to the thing being cut.



            the extreme example of the paper cutting effect can be seen in this video
            https://www.youtube.com/watch?v=eLXHLRa37_g
            Mister Maker takes advantage of the stiffening effect of centrifugal force to use paper to slice and dice a variety of materials






            share|cite|improve this answer








            New contributor




            vulcan_ is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
            Check out our Code of Conduct.









            There are some good answers here already, but there is also some misinformation.
            Paper as a material is essentially a fibre composite material .. compressed, felted, fibres bonded by glue, and possibly surface treated to enhance smoothness. It is a very thin sheet with a microscopic saw edge that when constrained against bending and in motion along the edges direction relative to another object can cut soft materials readily.



            old paper will cut as readily as new and folding, curving, or any other structural configuration make no contribution to the paper cutting effect. the only thing that mattes is that the edge is thin and moving, relative to the thing being cut.



            the extreme example of the paper cutting effect can be seen in this video
            https://www.youtube.com/watch?v=eLXHLRa37_g
            Mister Maker takes advantage of the stiffening effect of centrifugal force to use paper to slice and dice a variety of materials







            share|cite|improve this answer








            New contributor




            vulcan_ is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
            Check out our Code of Conduct.









            share|cite|improve this answer



            share|cite|improve this answer






            New contributor




            vulcan_ is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
            Check out our Code of Conduct.









            answered 23 hours ago









            vulcan_

            1214




            1214




            New contributor




            vulcan_ is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
            Check out our Code of Conduct.





            New contributor





            vulcan_ is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
            Check out our Code of Conduct.






            vulcan_ is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
            Check out our Code of Conduct.











            • Although it is also possible to cut yourself with old paper (well-stored paper changes its properties only very slowly over time), fresh paper does cut significantly better. In particular, bending paper multiple times in different directions softens it up and then it won't easily keep the edge against your skin anymore. Centrifugal force is a different matter and doesn't rely on stiffness, but this is completely different from every accidental papercuts.
              – leftaroundabout
              8 hours ago

















            • Although it is also possible to cut yourself with old paper (well-stored paper changes its properties only very slowly over time), fresh paper does cut significantly better. In particular, bending paper multiple times in different directions softens it up and then it won't easily keep the edge against your skin anymore. Centrifugal force is a different matter and doesn't rely on stiffness, but this is completely different from every accidental papercuts.
              – leftaroundabout
              8 hours ago
















            Although it is also possible to cut yourself with old paper (well-stored paper changes its properties only very slowly over time), fresh paper does cut significantly better. In particular, bending paper multiple times in different directions softens it up and then it won't easily keep the edge against your skin anymore. Centrifugal force is a different matter and doesn't rely on stiffness, but this is completely different from every accidental papercuts.
            – leftaroundabout
            8 hours ago





            Although it is also possible to cut yourself with old paper (well-stored paper changes its properties only very slowly over time), fresh paper does cut significantly better. In particular, bending paper multiple times in different directions softens it up and then it won't easily keep the edge against your skin anymore. Centrifugal force is a different matter and doesn't rely on stiffness, but this is completely different from every accidental papercuts.
            – leftaroundabout
            8 hours ago


















             

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