Abstract
The elastic-plastic constitutive equations for large deformation are derived thermodynamically. Two internal state variables, a scalar and a tensor, were introduced, which represent the combined work-hardening. The stress, the strain, the translation, the temperature gradient and the heat flux are defined in a reference configuration. The constitutive equations in elastic state and the flow rule in plastic state are naturally derived from the Clausius-Duhem inequality and the assumed yield conditions. It is shown that the constitutive equations and the yield conditions include all natural and artificial crystal systems. For small deformation the theory derived here can be reduced to the one proposed by the author previously.