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International Journal of Mathematics and Mathematical Sciences
Volume 18, Issue 3, Pages 591-600

Inclusions in elasto-plastic solids under the influence of internal and external pressures

1Indian Institute of Mechanics of Continua, 201 Manicktola Main Road, Suite No. 42, Calcutta 700054, India
2Department of Mathematics, University of Kalyani, Kalyani, West Bengal, India
3Department of Mathematics, University of Central Florida, Orlando 32816, FL, USA

Received 3 February 1992; Revised 10 April 1993

Copyright © 1995 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


An attempt is made to study the problems of spherical and circular inclusions in elasto-plastic solids under the action of internal increasing pressure and external constant pressure, taking into consideration of the work-hardening effect. Particular attention is given to the linear work hardening effect on both problems. It is shown that results of this analysis are in good agreement with those of ideal plastic solids.