Vol.20, No.2, 2020, pp. 159–164
UDC:

DENSITY PARAMETER IN A TRANSVERSELY AND ISOTROPIC DISC MATERIAL WITH RIGID INCLUSION

Pankaj Thakur1, Subhash Chand2, Sukhvinder3, Shilpa Sood2, Monika Sethi1, Jatinder Kaur4

1) Depart. of Mathematics, Faculty of Science and Technol., ICFAI University Baddi, Solan, INDIA

email: pankaj_thakur15@yahoo.co.in

2) Department of Mathematics, Career point University Hamirpur, Himachal Pradesh, INDIA

3) Dep. of Math., Swami Premanand Mahavidyalya Mukerian, Punjab Univ. Chandigarh, Punjab, INDIA

4) Depart. of Mathematics, Chandigarh University, Gharuan, Mohali, Punjab, INDIA

 

Abstract

Creep deformation in a rotating annular disc made of transversely and isotropic material mounted on a shaft is studied. The analysis of stresses and strain rates within the disc of variable density and constant thickness is based on the transition theory. It has been analysed that the value of radial stress has a maximum at the inner surface for isotropic material (i.e. brass) in comparison to disc made of two transversely isotropic materials (i.e. magnesium and beryl). The method of stress and strain rates developed is illustrated with some numerical examples. The novelty in the current research is to include control factors as rotating speed and the density parameter in the consideration of the disc.

Keywords: stress, disc, density, inclusion, speed  

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