Some three-dimensional problems for an elastic medium with isolated rigid inclusions

I. Yu. Tsvelodub

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

Abstract: Problems of determining stresses in isolated ellipsoidal rigid inclusions contained in an isotropic elastic space subjected to uniformly distributed loading at infinity are considered. A solution in a closed form is constructed for inclusions shaped as ellipsoids of revolution.

Keywords: isolated ellipsoidal rigid inclusions, uniform stress field, oblate and prolate spheroids.

UDC: 539.3

Received: 13.04.2010

 English version: Journal of Applied Mechanics and Technical Physics, 2011, 52:3, 478–482

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