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SolutionStarting with the definition of true strain as = ln(LLo).pdf

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Solution : Starting with the definition of true strain as = ln(L/Lo) and assuming constant volume, we have V= A AoLo = AL Therefore, L/Lo = Ao/A A = D2 and Ao = Do2 Ao/A = Do2 /D2 = (Do/D)2 = ln(Do/D)2= 2 ln(Do/D).

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Solution : Starting with the definition of true strain as = ln(L/Lo) and assuming constant volume, we have V= A AoLo = AL Therefore, L/Lo = Ao/A A = D2 and Ao = Do2 Ao/A = Do2 /D2 = (Do/D)2 = ln(Do/D)2= 2 ln(Do/D)

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  • 1. Solution : Starting with the definition of true strain as = ln(L/Lo) and assuming constant volume, we have V= A AoLo = AL Therefore, L/Lo = Ao/A A = D2 and Ao = Do2 Ao/A = Do2 /D2 = (Do/D)2 = ln(Do/D)2= 2 ln(Do/D)