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Homework Help: Effect of Strain Hardening on Yield Strength

  1. Feb 14, 2012 #1
    1. The problem statement, all variables and given/known data

    The strain hardening behavior of an annealed, low‐carbon steel is σ = 100,000ε0.2

    If a bar of this material is initially cold worked 20%, followed by additional cold work of 30%, determine the probable yield strength of the final bar.

    2. Relevant equations


    At ultimate strength η=ε (Dont think this is applicable here though?)

    3. The attempt at a solution

    σ=100000(0.5)0.2 = 87055 psi

    Im not sure what to do with the percentages of cold work given. Can I use it as strain to find the yield strength at 50% cold work? Does the value of η need to be used as % cold work, or does σ = 100,000 ε0.2 represent a funtion of the yield strength?

    Another attempt
    I don't think that the % cold work is additive, so am I wrong to assume 50% cold work has taken place?

    If 30% CW is with respect to the original 20%, then

    A1/A0 = 0.2
    A2/A1 = 0.3

    A2/A0 = 0.26

    so would σ=100000(.26)0.2 be correct?
  2. jcsd
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