This article is cited in 7 papers

Physically nonlinear ellipsoidal inclusion in a linearly elastic medium

I. Yu. Tsvelodub

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

Abstract: This paper considers a physically nonlinear ellipsoidal inclusion in an elastic space loaded at infinity by uniform external forces. Relations are obtained that link the stresses and strains at infinite points of the medium and in the inclusion (in the latter, a homogeneous stress–strain state occurs). Some examples, in particular, inclusions in the shape of oblate and prolate spheroids exhibiting nonlinear creep properties, are discussed.

Keywords: physically nonlinear ellipsoidal inclusion, creep, damage parameter, failure.

UDC: 539.3

Received: 08.04.2003

 English version: Journal of Applied Mechanics and Technical Physics, 2004, 45:1, 69–75

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