CREEP STRESSES IN A ROTATING DISC HAVING VARIABLE DENSITY AND MECHANICAL LOAD UNDER STEADY-STATE TEMPERATURE
Pankaj Thakur1, Suresh Kumar2, Joginder Singh3
1)ICFAI University Baddi, Faculty of Science and Technology, Dept. of Mathematics, Solan, Himachal Pradesh, India,
2)I.K.G. Punjab Tech. University, Department of Applied Sciences (Mathematics), Jalandhar, Punjab, India
3)Chandigarh Engineering College Department of Mathematics, Landran (Mohali), Punjab, India
The purpose of this paper is to present study of thermal creep stresses and strain rates in a circular disc with shaft having variable density with mechanical load under steady- state temperature by using Seth’s transition theory. Seth’s transition theory is applied to the problem of thermal creep transition stresses and strain rates in a thin rotating disc with shaft having variable density by finite deformation. Neither the yield criterion nor the associated flow rule is assumed here. The results obtained here are applicable to compressible materials. If the additional condition of incompressibility is imposed, then the expression for stresses corresponds to those arising from Tresca yield condition. With the introduction of thermal effects and load, circumferential stress, as well as radial stress, increase at the inner and outer surface of the rotating disc. The rotating disc is likely to fracture by cleavage close to the shaft at the bore.
Keywords: thermal stresses, load, creep, angular speed, disc