Equilibrium state of a reliable elastoplastic medium with an expanding spherical cavity

K. V. Berdnikov, V. V. Struzhanov

Institute of Engineering Science, Urals Branch, Russian Academy of Sciences, Ekaterinburg, 620049, Russia

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.

Keywords: Hencky medium, polar-symmetric deformation, softening, method of simple iterations, convergence, stability.

UDC: 539.3

Received: 15.07.2016
Revised: 09.01.2017

DOI: 10.15372/PMTF20180113

 English version: Journal of Applied Mechanics and Technical Physics, 2018, 59:1, 104–111

Bibliographic databases:

•