ON THE USE OF INTERNAL STATE VARIABLES IN THERMOVISCOPLASTIC CONSTITUTIVE EQUATIONS.
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abstract
The use of internal state variables in modeling of inelastic solids is gaining widespread usage in current research. Therefore, it is useful to construct a well-defined framework for internal state variable models which is based in continuum mechanics. The objective of this paper is to review and clarify the general theory of internal state variables and to apply it to inelastic metals currently in use in high temperature environments. In this process, certain constraints and clarifications will be made regarding internal state variables. It will be shown that the Helmholtz free energy can be utilized to construct constitutive equations which are appropriate for metallic superalloys.