Thermal Effects in Plasticity. Part I: Coupled Theory

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Abstract
The coupled thermoplastic behavior is studied within the framework of classical thermodynamics. A classification of thermal effects is given and a pattern for theories allowing for a straightforward interpretation of the observed properties of irreversible deformation is presented. A procedure is outlined for constructing a simple non‐isothermal theory of thermoplasticity. A suitable single internal parameter is introduced. The Ziegler orthogonality principle is used in deriving the equations regarding the temperature, the stress and the rate of plastic strain. Explicit forms of the governing equations for elastic‐plastic materials with an isotropic hardening are derived.