Modification of the Local Variation Method to Minimize the Functionals of the Elasticity Theory

Abstract

In this paper a modification of the local variation method for minimizing the elasticity functionals, which reduces the counting time when varying them with small steps is proposed. Example of the solution of the inverse problem of the theory of elasticity by the finite element method is given. The problem of finding the elastic characteristics of a three-layer cable insulation, in which the annular stresses and deformations practically do not vary radially, is solved.