Vol.15, No.3, 2015, pp. 135–142
UDC 539.319

THERMO ELASTIC-PLASTIC DEFORMATION IN A SOLID DISK WITH HEAT GENERATION SUBJECTED TO PRESSURE

Thakur Pankaj1, Satya Bir Singh2, Jasmina Lozanović Šajić3

1)Depart. of Mathematics, IEC University Baddi, Solan, Himachal Pradesh, India, pankaj_thakur15@yahoo.co.in

2)Depart. of Mathematics, Punjabi University Patiala, Punjab, India

3)Innov. Centre, Faculty of Mech. Engng., University of Belgrade, Serbia

Abstract

Seth’s transition theory is applied to the problem of elastic-plastic deformation in a solid disk due to heat source and subjected to pressure. Neither the yield criterion nor the associated flow rule is assumed here. The results obtained here are applicable to compressible materials. If the additional condition of incompressibility is imposed, then the expression for stresses corresponds to those arising from Tresca’s yield condition. The present solution is illustrated by numerical results and is compared with uniform heat generation case. This work provides the basis for a comprehensive investigation of the influence of non-uniform heat generation subjected to pressure. Effect of heat increased values of stress for compressible material at the inner surface.

Keywords: solid disk, pressure, heat, stresses, yielding, displacement

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