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Why engineering stress vs true stress10/30/2023 ![]() ![]() Because the solid material of the specimen is incompressible, its Volume $V$ has to stay constant in spite of strain. $$\sigma_e=\frac$$ with $\Delta L$ being the Elongation and $L_0$ being the starting length. ![]() If you divide that force $F$ by the cross-section of your specimen at the start of testing, $A_0$, you gain a value $\sigma_e$ with the dimension of a stress. In tensile testing, Stress is usually measured indirectly by measurement of the applied force over strain $\epsilon$.
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