A. I. Golovanov, Yu. G. Konoplev, L. U. Sultanov, “Numerical Investigation of Large Deformations of Hyperelastic Solids. I. Kinematics and Variational Equations”, Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki, 2008, Volume 150, Book 1,Pages <nobr>29

This article is cited in 9 papers

Numerical Investigation of Large Deformations of Hyperelastic Solids. I. Kinematics and Variational Equations

A. I. Golovanov^a, Yu. G. Konoplev^a, L. U. Sultanov^b

^a Kazan State University
^b N. G. Chebotarev Research Institute of Mathematics and Mechanics, Kazan State University

Abstract: The present article starts a series of papers devoted to building a numerical algorithm of researching large deformations of hyperelastic solids. The theoretical background for large deformation is considered. Several general variational equations for solving nonlinear problem of solid mechanics are presented.

Keywords: large deformations, hyperelastic, tensor of deformations, stress tensor, variational equations.

UDC: 539.3

Received: 25.01.2008