Mathematical modeling of Inverse Problems of Forming Taking into Account the Incomplete Reversibility Creep Strain
K. S. Bormotin1,2, N. A. Taranukha1
1Komsomolsk-on-Amur State Technical University, Komsomolsk-on-Amur, 681013, Russia
2Institute of Engineering and Metallurgy, Far East Branch, Russian Academy of Sciences, Komsomolsk-on-Amur, 681005, Russia
Keywords: обратные задачи формообразования, вариационные неравенства, единственность, теория неполной обратимости деформации ползучести, сходимость, метод конечных элементов, итерационный метод, inverse problems of forming, variational inequalities, uniqueness, theory of incomplete reversibility of creep strain, convergence, finite-element method, iterative method
Abstract
Functionals of direct and inverse problems of forming structural elementsare constructed taking into account the theory of incomplete reversibility of deformations. Formulations of these problems are given, and the uniqueness of their solutions is proved. An iterative method for solving inverse problems of forming structural elementsis proposed. Numerical solutions of these problems are obtained using a finite element method.
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