EXPANSION OF A SPHERICAL CAVITY AT THE CENTRE OF A NON-HOMOGENEOUS SPHERE OF DUCTILE METAL WITH EFFECT OF WORK-HARDENING UNDER INTERNAL AND EXTERNAL PRESSURES

Authors:

L.K. Roy,

DOI NO:

https://doi.org/10.26782/jmcms.2016.01.00003

Keywords:

Abstract

The aim of this paper is to investigate the distribution of stresses due to expansion of a spherical cavity at the centre of a non-homogeneous  metallic sphere of finite radius for an elasto-plastic solid with effect of work-hardening under an increasing internal pressure, the external pressure remaining constant. The non-homogenecity of the elastic material is characterised by supposing that the Lame constrants very exponentially as the function of radial distance. The case of ideal plastic solid has also been deduced from this general case.  

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Author(s): L.K Roy View Download