Vol.20, No.1, 2020, pp. 27–32
UDC:

ELASTO-PLASTIC DENSITY VARIATION IN A DEFORMABLE DISK

P. Thakur1, N. Kumar2, Sukhvinder3

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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