This article is cited in 1 paper

Modeling of a Deformation Localization in a Medium with Different Strengths

Olga I. Kuzovatova^a, Vladimir M. Sadovsky<sup>b

a</sup> Institute of Mathematics, Siberian Federal University
^b Institute of Computational Modelling, Siberian Branch of the Russian Academy of Sciences

Abstract: A special mathematical model which is a generalization of a classical model of the elasticity theory is used for the analysis of directions of a deformation localization in samples made of solid material with different strengths. Numerical solution of the problems is carried out by means of iterative process. At each step of this process the equations of the elasticity theory with initial stresses are solved by means of the finite-elements method.

Keywords: deformations localization, mathematical model, elasticity theory.

UDC: 539.37

Received: 01.03.2008
Received in revised form: 05.06.2008
Accepted: 15.06.2008