INDIAN INSTITUTE OF TECHNOLOGY KANPUR
Department of Materials and Metallurgical Engineering
Virtual Laboratories for Thermal Processing and Characterization of Materials
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INDIAN INSTITUTE OF TECHNOLOGY KANPUR Department of Materials and Metallurgical Engineering Virtual Laboratories for Thermal Processing and Characterization of Materials |
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Mechanical Testing Laboratory |
Conversion of engineering stress-strain curve to true stress-strain curve
In the computation of the engineering stress and engineering strain the initial values of gauge length and area of cross-section are taken. However, the gauge length is continuously increasing and the area of cross-section is continuously decreasing. Therefore, the true stress-strain curve is calculated by taking into account the instantaneous values by the procedure given below.
Let Lo and Ao be the initial gauge length and area of cross-section, and L and A be the corresponding instantaneous values. It is reasonable to assume that the volume of the material remains constant as it undergoes plastic deformation. Therefore, LoAo = LA. Using this it is easy to show: True Stress, s = S (1 + e) and True Strain, e = ln (1 + e).
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