EFFECT OF DENSITY VARIATION PARAMETER IN A SOLID DISK
Pankaj Thakur1, Suresh Kumar2, Joginder Singh3, Satya Bir Singh4
1)CFAI University Baddi, Faculty of Science and Technology, Department of Mathematics, Solan, Himachal Pradesh, India,
2)I.K. Gujral Punjab Technical University Jalandhar, Department of Applied Sciences (Mathematics), Punjab, India
3)Chandigarh Engineering College, Department of Mathematics, Landran, Mohali, Punjab
4)Punjabi University Patiala, Department of Mathematics, Punjab, India
The purpose of this paper is to present the study of density variation in a solid disk by using Seth’s transition theory. Seth’s transition theory is applied to the problem of creep stresses and strain rates in non-homogeneous spherical shell under steady-state temperature. Neither the yield criterion nor the associated flow rule is assumed here. The results obtained here are applicable to compressible materials as well as incompressible material. It has been seen that radial stress has a maximum value at the inner surface but infinite at the origin of a solid disk. With the introduction of a density parameter, the values of radial stresses are increased at the inner surface and the circumferential stress at the outer surface of the solid disk. Compressible materials increase the values of plastic stresses at the centre of the disk.
Keywords: solid disk, stresses, displacement, angular speed, yielding