Equilibrium State of a Softening Elastoplastic Medium with an Expanding Spherical Cavity


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Abstract

This paper describes the problem of a stress–strain state arising from expansion of a spherical cavity under increasing internal pressure. The properties of a medium are described by a single curve with a descending section (Hencky medium with softening) under the condition of nonpositivity of volume deformation. An iteration procedure for calculation of equilibrium parameters is proposed. This procedure is based on the method of simple iterations. Numerical calculations confirming the developed technique are presented.

About the authors

K. V. Berdnikov

Institute of Engineering Science, Ural Branch

Author for correspondence.
Email: kir.berdnikov@mail.ru
Russian Federation, Ekaterinburg, 620049

V. V. Struzhanov

Institute of Engineering Science, Ural Branch

Email: kir.berdnikov@mail.ru
Russian Federation, Ekaterinburg, 620049

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