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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2016, Volume 56, Number 4, Pages 650–663
DOI: https://doi.org/10.7868/S0044466916040128 (Mi zvmmf10380) 		 
This article is cited in 12 scientific papers (total in 12 papers)

Study of discontinuities in solutions of the Prandtl-Reuss elastoplasticity equations

A. G. Kulikovskii, A. P. Chugainova

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
Full-text PDF (671 kB) Citations (12)
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DOI: https://doi.org/10.7868/S0044466916040128
Abstract: Relations across shock waves propagating through Prandtl–Reuss elastoplastic materials with hardening are investigated in detail. It is assumed that the normal and tangent velocities to the front change across shock waves. In addition to conservation laws, shock waves must satisfy additional relations implied by their structure. The structure of shock waves is studied assuming that the principal dissipative mechanism is determined by stress relaxation, whose rate is bounded. The relations across shock waves are subject to a qualitative analysis, which is illustrated by numerical results obtained for quantities across shocks.
Key words: Prandtl–Reuss elastoplasticity, shock waves, stress relaxation.
Funding agency Grant number
Russian Science Foundation 14-50-00005
This work was supported by the Russian Science Foundation, project no. 14-50-00005.
Received: 10.09.2015
English version:
Computational Mathematics and Mathematical Physics, 2016, Volume 56, Issue 4, Pages 637–649
DOI: https://doi.org/10.1134/S0965542516040102
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: A. G. Kulikovskii, A. P. Chugainova, “Study of discontinuities in solutions of the Prandtl-Reuss elastoplasticity equations”, Zh. Vychisl. Mat. Mat. Fiz., 56:4 (2016), 650–663; Comput. Math. Math. Phys., 56:4 (2016), 637–649
Citation in format AMSBIB
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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