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
Pages: 445-447
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.
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