This article is cited in 1 paper

Inverse problem of deformation of a physically nonlinear inhomogeneous medium

I. Yu. Tsvelodub

Lavrent'ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090

Abstract: An isotropic linear-elastic (viscoelastic) plane containing various physically nonlinear elliptic inclusions is considered. It is assumed that the distances between the centers of the inclusions are much greater than their dimensions. The problem is to determine the orientation of the inclusions and the loads applied at infinity which ensure a specified value of the principal shear stress in each inclusion. Necessary and sufficient conditions of existence of the solution of the problem are formulated for a plane strain of an incompressible inhomogeneous medium.

UDC: 539.3

Received: 15.06.2001
Accepted: 04.03.2002

 English version: Journal of Applied Mechanics and Technical Physics, 2002, 43:2, 445–447

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