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A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2023-7pp.2610-2618

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V.M. Sadovskii, "On the Theory of Shock Waves in Isotropically Hardening Plastic Media," Mech. Solids. 58 (7), 2610-2618 (2023)
Year 2023 Volume 58 Number 7 Pages 2610-2618
DOI 10.3103/S002565442307021X
Title On the Theory of Shock Waves in Isotropically Hardening Plastic Media
Author(s) V.M. Sadovskii (Institute of Computational Modelling SB RAS, Krasnoyarsk, Russia, sadov@icm.krasn.ru)
Abstract On the basis of a thermomechanical model of plastic deformation of an elastically compressible isotropically hardening medium, a system of relations is obtained for describing plastic shock waves of finite amplitude, which satisfies the principle of maximum entropy production at the strong discontinuity front. A classification of admissible shock-wave transitions is carried out within the framework of the model of isotropic hardening under the Mises plasticity condition.
Keywords plasticity, hardening, variational inequality, strong discontinuity
Received 22 December 2022Revised 01 March 2023Accepted 01 March 2023
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