Vol.13, No1, 2013, pp. 3–8
UDC: 66-988:539.3

THERMO ELASTIC-PLASTIC TRANSITION OF A HOMOGENEOUS THICK-WALLED CIRCULAR CYLINDER UNDER EXTERNAL PRESSURE

Sanjeev Sharma, Manoj Sahni

Department of Mathematics, JIIT, Noida, India, sanjeev.sharma@jiit.ac.in, manoj_sahani117@rediffmail.com

Abstract

Thermal elastic-plastic stresses have been obtained for thick-walled circular cylinder under external pressure by using the transition theory based on the concept of generalized principal strain measure that simplifies the constitutive equations by prescribing a priori the order of the measure of deformation, and that helps to achieve better agreement between theoretical and experimental results. Results have been analysed and discussed numerically as well as graphically. From our analysis, we can conclude that without the temperature gradient, the homogeneous circular cylinder with less compressibility is on the safer side of the design as compared to highly compressible circular cylinder, because the less compressible cylinder requires a high pressure for initial yielding as compared to the high compressible cylinder, while under effect of temperature, the highly compressible circular cylinder is on the safer side of the design as compared to less compressible circular cylinder, leading to the idea of ‘stress saving’ and minimizing the possibility of fracture.

Keywords: thermal effect, elastic-plastic, homogeneous, pressure, cylinder

full article (297 kB)