Inversion of a full-range stress-strain relation for stainless steel alloys |
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Authors: | K Abdella |
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Institution: | Department of Mathematics, Trent University, Peterborough, Ont., Canada |
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Abstract: | This paper presents an approximate inversion of the stress-strain relation for stainless steel alloys. Using currently available stress-strain relations based on a modified Ramberg-Osgood equation, a new expression for the stress σ as an explicit function of the total strain ε is obtained. The new expression is valid over the full-range of the stress well beyond the 0.2% proof stress σ0.2, defined as the stress level corresponding to the plastic strain value of 0.2%. The validity of the inverted expression is tested over a wide range of material parameters. The tests show that the new expression results in stress-strain curves which are both qualitatively and quantitatively consistent with the fully iterated numerical solution of the full-range stress-strain relation. |
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Keywords: | Stainless steel Ramberg-Osgood Plastic Elastic Stress-strain Non-linear |
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