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

  • K. V. Berdnikov
  • V. V. Struzhanov


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.


Hencky medium polar-symmetric deformation softening method of simple iterations convergence stability 


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© Pleiades Publishing, Ltd. 2018

Authors and Affiliations

  1. 1.Institute of Engineering Science, Ural BranchRussian Academy of SciencesEkaterinburgRussia

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