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

Equilibrium State of a Softening Elastoplastic Medium with an Expanding Spherical Cavity 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Applied Mechanics and Technical Physics Springer Journals

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

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Publisher
Pleiades Publishing
Copyright
Copyright © 2018 by Pleiades Publishing, Ltd.
Subject
Physics; Classical Mechanics; Fluid- and Aerodynamics; Classical and Continuum Physics; Applications of Mathematics; Mathematical Modeling and Industrial Mathematics; Mechanical Engineering
ISSN
0021-8944
eISSN
1573-8620
D.O.I.
10.1134/S0021894418010133
Publisher site
See Article on Publisher Site

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.

Journal

Journal of Applied Mechanics and Technical PhysicsSpringer Journals

Published: Mar 23, 2018

References

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