What is Cutting: Definition and 128 Discussions

Cutting is the separation or opening of a physical object, into two or more portions, through the application of an acutely directed force.
Implements commonly used for cutting are the knife and saw, or in medicine and science the scalpel and microtome. However, any sufficiently sharp object is capable of cutting if it has a hardness sufficiently larger than the object being cut, and if it is applied with sufficient force. Even liquids can be used to cut things when applied with sufficient force (see water jet cutter).
Cutting is a compressive and shearing phenomenon, and occurs only when the total stress generated by the cutting implement exceeds the ultimate strength of the material of the object being cut. The simplest applicable equation is:





stress

=



force


area





{\displaystyle {\text{stress}}={{\text{force}} \over {\text{area}}}}
or



τ
=


F
A




{\displaystyle \tau ={\frac {F}{A}}}

The stress generated by a cutting implement is directly proportional to the force with which it is applied, and inversely proportional to the area of contact. Hence, the smaller the area (i.e., the sharper the cutting implement), the less force is needed to cut something. It is generally seen that cutting edges are thinner for cutting soft materials and thicker for harder materials. This progression is seen from kitchen knife, to cleaver, to axe, and is a balance between the easy cutting action of a thin blade vs strength and edge durability of a thicker blade.

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  1. G

    Calculating Shear Plane Angle & Strain in Orthogonal Cutting Operation

    In an orthogonal cutting operation, the 0.250 in wide tool has a rake angle of 6 degrees. The lathe is set so the chip thickness before the cut is 0.011 in. After the cut,t he deformed chip thickness is measured to be 0.027 in. Calculate (a) the shear plane angle and (b) the shear strain for...
  2. N

    Formal definitions of cutting and pasting etc

    Popular math books usually explain topology as the study of spaces allowing strecthing and shrinking and some cutting and pasting, but what the formal definitions of the intuitive operations "cutting","pasting","strecthing","shrinking" according to mathematics?
  3. wolram

    Cutting Disc Exploded - Injury & Fire Prevention

    Now we know Evo is ok ish i will tell of my latest, While cutting a seized inner bearing off a 60 mm shaft the cutting disc exploded and cut my finger to the bone, luckily i was wearing a a safety mask as a shard cut a grove in it, the last time i used a cutting disc i set my overalls on fire.
  4. jal

    Cutting edge - conferences and papers

    What is your favorite way of finding out about what is going on? I don’t suppose that anyone has the time to read all the papers that are published. If you are not working in a particular field, ( hehehe … meaning … you are an amateur) but are interested in finding out what is happening, what...
  5. T

    How Can You Shave Without Cutting Yourself?

    Two questions: 1. How to shave? cream on shaver then shave or cream on face then shave? 2. I just cut my lip and blood comes out easily. What do I do?
  6. J

    Cutting equal numbers of different length pieces from a known length

    Hello everyone. I'd like to thank everyone for their help in advance. Ok, here we go. I've got bars of known length (240"). And, I've got to cut equal numbers of 5 different length pieces. The lengths are: 72.16", 71.64", 68.94", 45.46", and 44.13" The whole point is to minimize the...
  7. mjsd

    QFT Cutting Rules: Improved Versions & Worked Examples

    I am wondering whether someone can suggest a good ref or two (preferrably with worked example) on how to use Cutkosky (or whatever it is called) cutting rules in QFT to help pick out the absorptive/Imaginary part of a 1- or 2-loops diagrams. I have already tried Peskin and Schroeder, which is...
  8. mjsd

    ?Ref for Cutkosky cutting rules

    I am wondering whether someone can suggest a good ref or two (preferrably with worked example) on how to use Cutkosky (or whatever it is called) cutting rules in OFT to help pick out the absorptive part of a 1- or 2-loops diagram. I have already tried Peskin and Schroder, which is good only up...
  9. WolfOfTheSteps

    Examples of Cutting Edge Semiconductor Devices?

    Can anyone give me some examples of some of the most cutting-edge/futuristic/"we're not there yet" applications for semiconductors? You know... the "exciting" stuff. :biggrin: I'm doing an informal presentation for my solid state class, and wanted to get some ideas of what I should research...
  10. L

    (simple Q) Cutting yourself with substances on your skin.

    I am looking for an explanation about a simple physics phenomen. When washing plates and ustensils, I would manipulate knives and, from times to times, would cut myself a bit. Does it matter if your hands are wet or dry and what does the water do on the surface of the skin that can influence...
  11. F

    Ceramic Cutting Tools: Speed & Depth Data

    Could somebody help me to get information of cutting speed and depth of cut for ceramic cutting tools? I would need to have a data for all the ceramic types. Thanks!
  12. T

    Ceramic Cutting Tools: Properties, Tests, and ASTM Standards Explained

    Hello everyone, I have a few questions about ceramic cutting tools. What properties should a ceramic cutting tool (for lathe or shaper) must have? What tests should be performed on the material/tool? Where can I find details about those test? What are the ASTM stadard for those tests? I would...
  13. N

    Cutting objects at the molecular level

    So, I've read that cutting is essentially where the edge of the knife (or whatever cutting instrument) applies enough force to overcome the intermolecular forces in the object. A more dense object will have greater molecular forces, hence more difficult to cut (in the conventional cutting sense...
  14. T

    Finding the Center of Area of Remaining Part After Cutting Out a Quarter Circle

    a square with dimensions (a x a),a quater circle is cut out which has the radius r.Find the center of area of the remaining part. i found the coordinate for the removed quater circle which is a-4r/3pi , but i don't know how to find the cenroid of the remaining part. anybody pls help thanx
  15. H

    Forces at play during Cutting ?

    Forces at play during "Cutting"? I'm involved in a debate over the broadheads (arrowheads using multiple razor-sharp metal blades) for bow hunters. I need a little help in the physics dept. I'm arguing that the sharpness of a blade is less important than than the fact that there IS a...
  16. A

    Cutting Your Finger: What Happens at the Atomic Level?

    We're all familiar to the fact that when you for example put two fingers together, they aren't really physically touching each other, it's the electromagnetic forces of the atoms from the different fingers resisting each other... which in turn translates to our nerves and finally our brain in...
  17. S

    Exploring the Role of Lead and Other Elements in Free Machining Alloys

    sir why cutting speed of soft material like aluminium is high ?
  18. K

    0 then Y, else N ? (so cutting ?)

    Does the following make any sense (after : "Is (physical) love worth something ?") : If you give in any way money to the other party directly, then we call it prostitution, because the money should be stored in a common way, and hence other systems are not indicating true love ? (How to...
  19. S

    Cutting Strong Materials: Silicon Carbide & Aluminium Oxide Techniques

    How are materials like Silicon Carbide or Aluminium oxide which are strong and have high melting points shaped and cut? Just wondering. Is a diamond tipped cutter used or something?
  20. S

    Slicing dice and cutting corners

    A dice has 6 sides. If you cut the corners of a dice you get 6 + 8 = 14 sides. If you cut again, the minimum number of sides you get is 6 + 8 + 12. If you cut n times, what is the minimum number of sides you get?
  21. N

    Europe's long term plans for cutting edge astronomy and cosmology research

    "Review of Cosmic Vision 2015-2025" begins: "The Cosmic Vision workshop at UNESCO on 15-16 September 2004 showed that Europe is richer than ever in ideas for what should be done in space science in the coming years. This workshop brought us a major step forward in developing the vision of the...
  22. P

    Drastically cutting down the amount of sleep one needs?

    Does anyone know any ways af drastically cutting down the amount of sleep one needs?
  23. S

    Cutting a 20x30m Area: Is It Possible?

    assume that we have an area of 20*30 meters, and we want to cut it to some parts of specified areas. I want to know when is it possible? Of course the first assumpsion should be: the sum of the areas should not exceed the total area. I know we need another assumpsion. What is it? And if the...
  24. jimmy p

    What Happens to Bungee Jumpers if Cord is Cut at Apex?

    Had an interesting concept in physics class today. What would happen to a bungee jumper if right at the apex of his jump (when the resultant forces are zero) someone cut the cord? Would he go splat or just hit the ground without too much damage? For ease, let's say that at the apex he is a...
  25. A

    When is the optimal age for harvesting trees in British Columbia?

    Does anybody know about any conventions for the ages at which trees of different species can be cut? does it vary by country or is there any international agreement on it?
  26. D

    Cutting Enclosures: Rectangular Opening Tool?

    I have this box and I need to cut a rectangular opening to expose my led display. My question is there a tool to make a clean cut of the rectangular shape opening? I tried using a rotary but it is not a very smooth cut. Is there a way to do it using everyday tools?
  27. Another God

    Would you want to see cutting edge theoretical debates?

    Would you want to see cutting edge theoretical debates? Howdy everyone, I am doing a little bit of 'research' for a website idea of mine and I am very very eager for some feedback on it. Essentially I want to know if you, the people of our world who are interested in...
  28. W

    What is the largest number of pieces you can get by cutting a pizza

    Hello, I am trying to follow an example/explanation, but with no luck. Here is the question: Let n be the number of cuts and let an be the maximum number of pieces. Now it is clear that a0 = 1 and a1 = 2. Since we want to maximize the number of pieces, we ensure that two cuts cross...
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