MATHEMATICAL METHOD TO DETERMINE THERMAL STRAIN RATES AND DISPLACEMENT IN A THICK-WALLED SPHERICAL SHELL
Nishi Gupta1, Pankaj Thakur2, Satya Bir Sing1
1)Punjabi University Patiala, Department of Mathematics, Punjab, India
2)ICFAI University, Faculty of Science and Technology, Dept. of Mathematics, Solan, Himachal Pradesh, India,
Seth’s transition theory is applied to the problem of thermal creep strain rates and displacement in a thick-walled spherical shell by finite deformation. Neither the yield criterion nor the associated flow rule are 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. It has been observed that the circumferential stresses have maximum value at the external surface of thick wall spherical shell made of compressible materials as compared to the incompressible material applied through temperature for measure n = 0.142. Strain rates have a maximum value at the external surface for measure n = 0.142, but the result is reversed in the case of measure n = 0.2 and 0.33.
Keywords: strain rates, displacement, spherical shell, stresses