Postbuckling elastoplastic state analysis of three-dimensional bodies taking into account finite strains |
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Authors: | A I Golovanov L U Sultanov |
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Institution: | (1) Kazan State University, Kazan, Russia;(2) N. Chebotarev Research Institute of Mathematics and Mechanics, Kazan State University, Kazan, Russia |
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Abstract: | A technique for analyzing the stress strain state of elastoplastic bodies taking into account large displacements, rotations, finite strains, and buckling is presented. The step-by-step loading method with formulation of the resolvent variation equation in the current configuration is used. The governing equations for elastoplastic bodies that connect the Jaumann derivative of the Cauchy-Euler stress tensor with the velocity strain are applied. The spatial discretization is based on the finite element method (FEM) in the framework of the polylinear three-dimensional isoparameteric approximation. The numerical solutions of the problems are given. |
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