A Theory of Thermo-Plastic Materials with Memory.
ALABAMA UNIV HUNTSVILLE RESEARCH INST
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A theory of thermoplastically simple materials with memory is developed. The response functionals are assumed to depend on the histories of the strain tensor, inelastic strain tensor, temperature, and the current value of the temperature gradient. Thermodynamical restrictions on the forms of the constitutive equations are explored and it is shown that the stress tensor and specific entropy are derivable from the free energy functional which is independent of temperature gradient. It is also shown that the internal dissipation can be computed directly from the free energy and the constitutive equation for the inelastic strain rate. Under additional restrictions, special forms of the constitutive equations are developed, and furthermore the present theory does make use of the idea of so called yield surface. Author, modified-PL