Question
The true stress (σ) - true strain ( ε ) diagram of a strain hardening material is shown in figure. First, there is loading up to point A, i.e., up to stress of 500 MPa and strain of 0.5. Then from point A, there is unloading up to point B, i.e., to stress of 100 MPa. Given that the Young’s modulus E = 200 GPa, the natural strain at point B (εB ) is _________ (correct to three decimal places).
Answer :
0.498
We know that Slope of AB line is E
E = AC/BC
200*103 MPa = (500-100)MPa/BC
BC = 400/(200*103 ) = 0.002
εB = 0.5 - 0.002 = 0.498
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