DOI: https://doi.org/10.26089/NumMet.v18r430

A method for solving inverse problems of inelastic deformation of thin-walled panels

Authors

  • K.S. Bormotin

Keywords:

inverse forming problems
plasticity
creep
elasticity
variational inequalities
sufficient uniqueness conditions
iterative methods
finite element method

Abstract

A mathematical model for inverse problems of forming thin-walled panels is described. The model takes into account the plastic and creep deformations and allows one to describe various technological processes. An iterative method for solving inverse problems of forming is proposed. Its convergence is proved under the conditions dependent on the parameters of processes. The numerical solutions of inverse problems obtained by the finite element method are in good agreement with the conditions of convergence.

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Published

2017-09-07

Issue

Vol. 18 (2017): Issue 4.

Section

Section 1. Numerical methods and applications

Author Biography

K.S. Bormotin

Komsomolsk-on-Amur State University,
Institute of Computer Engineering Technologies and Equipment
• Professor

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