Vol.20, No.3, 2020, pp. 285–296 
CREEP TRANSITION ANALYSIS IN FUNCTIONALLY GRADED THICKWALLED ROTATING TRANSVERSELY ISOTROPIC CYLINDER UNDER A RADIAL TEMPERATURE GRADIENT AND UNIFORM PRESSURE Alemu G. Temesgen^{1}, Satya B. Singh^{1}, Thakur Pankaj^{2} ^{1)} Department of Mathematics, Punjabi University, Patiala, INDIA ^{2)} Department of Mathematics, ICFAI University, Himachal Pradesh, INDIA email: Pankaj_thakur15@yahoo.co.in

Abstract In this research paper, creep transition stresses and strain rates in a functionally graded thickwalled rotating transversely isotropic circular cylinder subjected to a radial temperature gradient and uniform internal pressure are derived using the transition theory of Seth and the generalized strain measure theory. The theory of Seth requires no assumptions such as the creep deformation is infinitesimally small, creep strain laws and the associated flow rules and this theory is important for determining creep transition stresses based on Lebesgue strain measure. The combined impacts of a nonhomogeneity parameter, pressure, temperature, and angular speed are discussed numerically and shown graphically. It is concluded that a functionally graded thickwalled rotating cylinder subjected to a higher radial temperature gradient and a lower uniform pressure made of titanium material is on the safer side of the design compared to the cylinder made of steel material for smaller strain measure. The findings of this paper can be useful in the analysis and design of a cylinder that is exposed to high temperatures, such as highspeed structures involving aerodynamic heating, chemical plants and nuclear plants. Keywords: creep transition, functionally graded, rotating cylinder, temperature gradient, transversely isotropic 
full article (1.16 MB) 