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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
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.
Keywords:
finite strain, constitutive equation, heat-conduction equation, thermodynamics, structural changes, model of adiabatic process.
Received: 18.08.2014
Citation:
A. A. Rogovoi, “Model of a thermo-elastic-inelastic process with large deformations and structural changes in material”, Prikl. Mekh. Tekh. Fiz., 56:5 (2015), 191–204; J. Appl. Mech. Tech. Phys., 56:5 (2015), 901–912
Linking options:
https://www.mathnet.ru/eng/pmtf911 https://www.mathnet.ru/eng/pmtf/v56/i5/p191
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Abstract page: | 29 | Full-text PDF : | 7 |
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