Vol.18, No.1, 2018, pp.15–21
UDC 539.376

CREEP STRESSES AND STRAIN RATES FOR A TRANSVERSELY ISOTROPIC DISC HAVING THE VARIABLE THICKNESS UNDER INTERNAL PRESSURE

Pankaj Thakur1, Pooja Mahajan2, Sandeep Kumar3

1)Department of Mathematics, Faculty of Science and Technology, ICFAI University Baddi, Solan, Himachal Pradesh, India pankaj_thakur15@yahoo.co.in

2)Department of Applied Science & Humanities, Global Institute of Management and Emerging Technologies, Amritsar, Punjab, India

3)Mahatma Gandhi University, Meghalaya, India

Abstract

The paper presents the study of creep stresses and strain rates for a transversely isotropic disc having variable thickness, subjected to internal pressure, by using Seth’s transition theory. It has been observed that the disc made of variable thickness for transversely isotropic material has a maximum circumferential stress at the outer surface in comparison to disc having constant thickness and this value further increases with the increase in measure N and K. Strain rates are maximum on the internal surface for flat disc of isotropic material for measure n = l and pressure Pi = 0.1, but strain rates decrease at the internal surface for measure n > 1. The strain rate for flat disc (k = 0) further increases with increase in pressure at the internal surface. The disc of variable thickness (k = 1.5) made of isotropic material has strain rate maximum at the external surface for Pi = 0.1 and measure n = l. These values of strain rates further increase at the external surface with the increase in pressure and variable thickness ratio, but decrease with the increase in measure N.

Keywords: strain rate, thickness, transversely isotropic material, pressure, disc

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