Vol.9, No2, 2009, pp. 125-132
UDC 539.319

ELASTIC-PLASTIC TRANSITION STRESESS IN AN ISOTROPIC DISC HAVING VARIABLE THICKNESS SUBJECTED TO INTERNAL PRESSURE

Thakur Pankaj

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

Abstract

Elastic-plastic stresses have been obtained using Seth’s transition theory for an isotropic disc of variable thickness exposed to internal pressure. Results obtained are analysed numerically and depicted graphically. Disc of variable thickness made of compressible material yields at some radius R1 at a higher pressure as compared to disc made of incompressible material that yields at the outer surface. Flat disc made of incompressible material yields on internal surface at higher pressure as compared to disc made of compressible material. Circumferential stress is maximum at the outer surface of the disc having variable thickness.

Keywords: isotropic disc, pressure, thickness, elastic, plastic, compressibility, transitional stress, yielding, inner plastic zone, outer plastic zone

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