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Journal of Applied Mechanics and Technical Physics

2018 year, number 1

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

K. V. Berdnikov, V. V. Struzhanov
Institute of Engineering Science, Ural Branch, Russian Academy of Sciences, Ekaterinburg, 620049 Russia
Keywords: среда Генки, полярно-симметричное деформирование, разупрочнение, метод простых итераций, сходимость, устойчивость, Hencky medium, polar-symmetric deformation, softening, method of simple iterations, convergence, stability


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.