Vol.20, No.1, 2020, pp. 27–32 |
ELASTO-PLASTIC DENSITY VARIATION IN A DEFORMABLE DISK P. Thakur^{1}, N. Kumar^{2}, Sukhvinder^{3} ^{1)} Depart. of Mathematics, Faculty of Science and Techn., ICFAI University Baddi, Solan, INDIA email: pankaj_thakur15@yahoo.co.in ^{ 2)} Research Scholar, Depart. of Mathematics, Faculty of Science and Techn., ICFAI University Baddi, Solan, INDIA ^{3}^{)} Depart. of Mathematics, Swami Premanand Mahavidyalaya, Hoshiarpur, Panjab University Chandigarh, INDIA |
Abstract The purpose of this paper is to present a study of elasto-plastic density variation in a deformable disk by using Seth’s transition theory. It has been observed that the effect of density variation parameter in a rotating disk requires lesser values of angular speed for compressible material as well as incompressible materials. The hoop stress has a maximum at the inner surface for incompressible materials as compared to compressible materials. With increased values of density parameter, the ratio of angular velocity for the fully-plastic state with respect to initial plasticity is increased to large values. Keywords: disk, density, stresses, speed, yielding |
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