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Izvestiya: Mathematics, 1996, Volume 60, Issue 1, Pages 179–216
DOI: https://doi.org/10.1070/IM1996v060n01ABEH000067 (Mi im67) 		 
This article is cited in 15 scientific papers (total in 15 papers)

Two-dimensional variational problems of the theory of plasticity

G. A. Seregin

Leningrad Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
English version PDF (1187 kB) Citations (15)
References:
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DOI: https://doi.org/10.1070/IM1996v060n01ABEH000067
Abstract: The present work gives explicit criteria for the local continuity of the stress tensor, which is a minimizer of a two-dimensional variational problem (the Haar–Karman principle). The local continuity of the deformation tensor is derived from the dual relations that reflect the fact that the displacement vector and the stress tensor are the saddle point of a particular Lagrangian.
Received: 19.07.1994
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 1996, Volume 60, Issue 1, Pages 175–210
DOI: https://doi.org/10.4213/im67
Bibliographic databases:
MSC: 73E05
Language: English
Original paper language: Russian
Citation: G. A. Seregin, “Two-dimensional variational problems of the theory of plasticity”, Izv. RAN. Ser. Mat., 60:1 (1996), 175–210; Izv. Math., 60:1 (1996), 179–216
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/im/v60/i1/p175
    • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:538
    Russian version PDF:293
    English version PDF:18
    References:71
    First page:3
     
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