Generalized solutions of the dynamic problem of perfect elastoplasticity
type: Item
instance of: scholarly article
title: Generalized solutions of the dynamic problem of perfect elastoplasticity
zbMATH Open document ID: 0604.73027
DOI: 10.1016/0021-8928(85)90058-9
published in: Journal of Applied Mathematics and Mechanics
publication date: 1985-01-01T00:00:00Z
review text: The concept of a generalized solution of an initial boundary value problem for the system of Prandtl-Reuss equations is introduced. It is shown that a generalized solution exists and is unique, and represents within the domain of elasticity a solution of the initial-boundary value problem of the dynamic theory of elasticity. An effective method for the approximate determination of the generalized solution is given, and conditions at its strong discontinuities are obtained. The basic results of this paper were published earlier without proof e.g. in Usp. Mat. Nauk 37, No.5(227), 189-190 (1982; Zbl 0513.73039).
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 74G30
Mathematics Subject Classification ID: 74H25
Mathematics Subject Classification ID: 35A15
Mathematics Subject Classification ID: 74C99
Mathematics Subject Classification ID: 46N99
zbMATH DE Number: 3976483
zbMATH Keywords: method of monotone semigroups
zbMATH Keywords: initial boundary value problem
zbMATH Keywords: system of Prandtl-Reuss equations
zbMATH Keywords: dynamic theory of elasticity
zbMATH Keywords: approximate determination of the generalized solution
zbMATH Keywords: strong discontinuities
author: Sergei Kuksin
MaRDI profile type: Publication
full work available at URL: 0021-8928(85)90058-9
OpenAlex ID: W2023817752
cites work: Q3659262
cites work: Q3730074
cites work: Q3292150
cites work: Q3940944
cites work: Q3343496
cites work: Q4097611
cites work: Q3663911
cites work: Q5665783
cites work: Convex Analysis
cites work: Q3328137
cites work: Q4192429
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description: scientific article; zbMATH DE number 3976483