"A method for solving inverse problems of inelastic deformation of thin-walled panels"
Bormotin K.S.

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.

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

  • Bormotin K.S. – Komsomol’sk-na-Amure State Technical University, Institute for Computer Design of Mechanical Engineering Equipment and Machines; prospekt Lenina 27, Komsomol’sk-na-Amure, 681013, Russia; Dr. Sci., Professor, e-mail: cvmi@knastu.ru, ks_x81@mail.ru