Finite element moment diagram of solvation of thermoplastic elastic deformation problems

Abstract

The calculated finite element moment diagram (MSEC) for the solution of geometrically nonlinear problems of thermoplastic elasticity with regard to material damage for axisymmetric rotation bodies was obtained. The use of quadrilateral finite elements of arbitrary shape, taking into account the variability of the components of the metric tensor, provides high efficiency of the approach. This allows us to determine nonlinear deformations and their variations due to displacement, whereby the form of the obtained expressions for nonlinear deformations in shape coincides with the relations for linear deformations. This allows us to determine nonlinear deformations and their variations due to displacement, whereby the form of the obtained expressions for nonlinear deformations in shape coincides with the relations for linear deformations. This is realized by changing the value of the transformation tensor components accordingly, which enables us to effectively solve problems in a geometrically nonlinear formulation. The method of solving the system of nonlinear equations is the orientation of the step algorithm in combination with the iterative procedure of Newton-Kantorovich.