ISSN 2079-6900 (Print) 
ISSN 2587-7496 (Online)

Middle Volga Mathematical Society Journal

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Passage of the limit states of elasticoplastic bodies

E. B. Kuznetsov1

AnnotationThe problem of quasi static deformation of elasticoplastic bodies is considered. After using of method of finite elements the problem of equilibrium states determination is reduced to the system of nonlinear ordinary differential equations. At the limit state ideal elasticoplastic bodies the problem is singular. The method of solution continuation with respect to the best parameter is used as regularizing.
Keywordslimit state, method of continuation, the best parameter, finite element.

1Professor of Differential Equations Department, Moscow Aviation Institute (State Technical University), Moscow;

Citation: E. B. Kuznetsov, "[Passage of the limit states of elasticoplastic bodies]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,13:1 (2011) 12–21 (In Russian)