Mathematics

Nonlinear problem of hyperelastic deformation of a multilinear finite element of a medium-thickness shell

A. I. Golovanov, M. K. Sagdatullin

Kazan (Volga Region) Federal University, Kazan

Abstract: The algorithm of the solving of a problem about the large deformations of hyperelastic shells of average thickness with use of a finite elements method is offered. Base is tensor deformations Almansi. The physical model of material of Seth is used. The test problem is solved.

Keywords: shell finite element, hyperelastic strains, metric tensor, tensor of Almansi, method of double approximation.

UDC: 539.3