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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2015, Volume 56, Issue 5, Pages 191–204
DOI: https://doi.org/10.15372/PMTF20150518
(Mi pmtf911)
 

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
English version:
Journal of Applied Mechanics and Technical Physics, 2015, Volume 56, Issue 5, Pages 901–912
DOI: https://doi.org/10.1134/S0021894415050181
Bibliographic databases:
Document Type: Article
UDC: 539.3
Language: Russian
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
Citation in format AMSBIB
\Bibitem{Rog15}
\by A.~A.~Rogovoi
\paper Model of a thermo-elastic-inelastic process with large deformations and structural changes in material
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2015
\vol 56
\issue 5
\pages 191--204
\mathnet{http://mi.mathnet.ru/pmtf911}
\crossref{https://doi.org/10.15372/PMTF20150518}
\elib{https://elibrary.ru/item.asp?id=25454217}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2015
\vol 56
\issue 5
\pages 901--912
\crossref{https://doi.org/10.1134/S0021894415050181}
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