Abstract
A simple isothermic one-dimensional endochronic model is constructed to analyse the stress-response using the various intrinsic time-scales proposed by Valanis. It is shown that the use of an intrinsic time-scale defined in terms of the plastic strain, which represents a limit case of the endochronic theory according to Valanis, leads to an elastic law and not to a conventional plasticity theory, as claimed in that reference. This apparent paradox will be revealed to hold for the most general form of a one-dimensional endochronic model. It will be demonstrated, within this context, that the evolution equations of the model degenerate into a constraint condition impeding all plastic deformation, when an intrinsic time-scale based on the plastic strain is used. Finally, it will be proved that no one-dimensional endochronic model can ever predict an elastic unloading following previous loading in which plastic flow has occurred, and thereby describe the material behaviour of metals as done by conventional plasticity theories.
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