Vol.17, No.2, 2017, pp. 89–95
UDC: 539.434


Pankaj Thakur1, Gaurav Verma2, Devinder Singh Pathania3, Satya Bir Singh4

1)ICFAI University Baddi, Faculty of Science and Technology, Dept. of Mathematics, Solan, Himachal Pradesh, India, pankaj_thakur15@yahoo.co.in

2)I.K.G. Punjab Tech. University, Kapurthala, Punjab, India

3)Guru Nanak Dev Engineering College, Dept. of Mathematics, Ludhiana, Punjab, India

4)Punjabi University Patiala, Dept. of Math., Punjab, India


The purpose of this paper is to present study of thermal creep stress and strain rates in non-homogeneous spherical shell 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. With the introduction of thermal effect, the values of circumferential stress decrease at the external surface as well as at the internal surface of the spherical shell for different values of non-homogeneity. It means that the temperature dependent materials minimize the possibility of a fracture at the internal surface of the spherical shell. The model proposed in this paper is used commonly in the design of chemical and oil plants, industrial gas and steam turbines, high speed structures involving aerodynamic heating.

Keywords: strain rates, thermal, spherical shell, non-homogeneous, stress

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