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Plastic strain depens on loading path

  1. Apr 22, 2012 #1
    Hi there,

    My teacher gave me a homework, but this Theory of Plasticity is new and difficult to me.

    He has calculated the strain according to path (1), now I have to do with the path (2) and (3).

    This is what he did with path (1):

    ε11=∫(1/E)dσ11 + ∫[(σ11/S)(σ11dσ11+3σ12dσ12)]/(σ11^2 + 3σ12^2)

    the first and second terminals for the above integration are (0,Y) and (0,Y/√3)

    Finally he got:

    ε11= (Y/E) + (Y/S)ln√2

    Please help me with path (2) or pah (3) or both, or tell me how to solve it.

    Thanks and best regards
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     

    Attached Files:

  2. jcsd
  3. Apr 22, 2012 #2
    I forgot the arrow for path (1) and (2):

    Path (1): O => B => A
    Path (2): O => C => A
    Path (3): O => A
     
  4. Apr 28, 2012 #3
    oh, i found it already!, just calculate the path integration!

    I was confused because i made error in computing integration so the result was different with my teacher. Now everything's done!
     
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