Mechanics

To the theory of nonlinear hardening of elastic medium with unstable phase structure

A. L. Saraev

Dept. of Mathematics, Computer Science and Mathematical Methods in Economy, Samara State University, Samara, 443011, Russia

Abstract: In the published work mathematical models of phase changes in elastic medium with unstable phase structure are presented. Mechanical behavior of material, in which new phase forms separate inclusions, and material, where new and old phases form interpenetrating skeletons is researched. Statistical averaging of nonlinear systems of equilibrium equations of microinhomogenities with unstable components allows to establish macroscopically determining equations of their deformation and calculate their effective characteristics.

Keywords: determining equations, phase changes, effective characteristics, microinhomogenities, statistical averaging.

UDC: 539.4

Received: 09.02.2009
Revised: 09.02.2009