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JOURNALS // Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika // Archive

Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2013 Number 3(23), Pages 96–103 (Mi vtgu325)

This article is cited in 1 paper

MECHANICS

Optimization of calculations of plastic deformations in nonlinear problems of deformable solid mechanics

P. V. Manahov, O. B. Fedoseev

Togliatti State University

Abstract: The article gives a numerical method for solving plasticity problems of the flow theory using the finite element method. The main characteristic of the method is the direct solution of a set of nonlinear constitutive equations by means of the software tools that implement residual minimization algorithm of a function. Operation of the program to determine strained-deformed state for the elastoplastic axisymmetrical problem has been presented. The advantages of this method in comparison with known methods of plastic flow analysis have been pointed out.

Keywords: finite element method, theory of plastic flow, approximation, hardening curves, iterative process, plasticity condition, yield point.

UDC: 539.214

Received: 24.10.2012



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