Vol.9, No2, 2009, pp. 171-179
UDC 539.319

ELASTIC-PLASTIC TRANSITION IN A THIN ROTATING DISC HAVING VARIABLE DENSITY WITH INCLUSION

Thakur Pankaj

Department of mathematics, Lovely Professional University, Jalandhar, Punjab, India

Abstract

Elastic-plastic transition in a thin rotating disc having variable density with inclusion has been studied by using Seth’s transition theory. Results have been discussed and depicted graphically. It has been observed that the rotating disc with inclusion and made of compressible material yields at the internal surface at a lesser angular speed as compared to a disc made of incompressible material whereas it requires a highly percentage increase in angular speed to become fully plastic. Radial stresses are higher at the bore for rotating disc made of incompressible material. It means that rotating disc having variable density and made of compressible material have a tendency to fracture at the bore. Effect of variable density also increases the values of radial and circumferential stresses at the internal surface for fully-plastic state.

Keywords: elastic, plastic, yielding, transitional stress, inclusion, rotating disc, density

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