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Polymer Engineering question related to Von Mises yield criterion

  1. Jun 12, 2012 #1
    It is a proof question. Does anyone can tell me how to do this question?question 22.2
    it is the question for extra credit for my final exam.
    thank you so much.
     

    Attached Files:

  2. jcsd
  3. Jul 14, 2012 #2
    You can find A and B with two simultaneously equations.
    For the first equation assume uniaxial tension yielding - i.e. take σ1 as fty and σ2=σ3=0.
    For the second equation assume uniaxial compression yielding. This is a polymer so it makes sense that fty and fcy would be different values - and they have to be different values otherwise you'd find that A=0.

    Once you have A and B, then consider the hydrostatic case - i.e. take σ1=σ2=σ3=σ. Solve for σ.
     
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