MODEL OF A THERMO-ELASTIC--INELASTIC PROCESS WITH LARGE DEFORMATIONS AND STRUCTURAL CHANGES IN MATERIAL
A.A. Rogovoi
Institute of Continuous Media Mechanics, Ural Branch, Russian Academy of Sciences, Perm', 614013 Russia
rogovoy@icmm.ru
Keywords: конечные деформации, определяющее уравнение, уравнение теплопроводности, термодинамика, структурные изменения, модель адиабатическогопроцесса, finite strain, constitutive equation, heat-conduction equation, thermodynamics, structural changes, model of adiabatic process
Abstract
The dependence of a scalar measure of the structural changes occurring in a material under plastic deformation on a plastic strain measure and the dependence of a free energy measure on a structural change measure are constructed using experimental data that allow the expended plastic work to be divided into a latent part and a thermal part. The obtained dependences, kinematic relations, a constitutive equation, and a heat-conduction equation that satisfy the principles of thermodynamics and objectivity are used to construct a model of thermo-elastic--inelastic processes in the presence of finite deformations and structural changes in the material. The model is tested on the problem of temperature changes in the process of adiabatic elastic--plastic compression, which has experimental support.
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