International Journal of Mathematics and Mathematical Sciences
Volume 18 (1995), Issue 3, Pages 591-600
doi:10.1155/S0161171295000743
Inclusions in elasto-plastic solids under the influence of internal and external pressures
Tapan Kumar Das1
, P.R. Sengupta2
and Lokenath Debnath3
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
Abstract
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.