Abstract
In the context of a purely mechanical rate-type theory of elastic-plastic materials, a special set of constitutive equations is discussed. In particular, a yield function is chosen which includes a dependence on mean normal stress. The constitutive equations are capable of describing the strength-differential effect and also predict a plastic volume change. The values of the material coefficients in the constitutive equations are determined from published experimental data for AISI 4330 steel. The predicted results are in good agreement with experiments, except for the magnitude of the predicted plastic volume change, which is too large.
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