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Materials Science and Manufacturing Engineering Miscellaneous

Materials Science and Manufacturing Engineering

  1. The ultimate tensile strength of a material is 400 MPa and the elongation up to maximum load is 35%. If the material obeys power law of hardening, then the true stress-true strain relation (stress in MPa) in the plastic deformation range is
    1. σ = 540 ε0.30
    2. σ = 775 ε0.30
    3. σ = 540 ε0.35
    4. σ = 775 ε0.35
Correct Option: B

ε = n (1 + e) = 1n (1 + 0.35) = 0.3
At UTS point: n = ε
σ= σ0 (1 + e) = 400 (1 + 0.35)
540 = k(0.3)0.3
k = 774.9 ≃ 775; σf = 775 ε0.3



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