Vol.20, Special Issue, 2020, pp. S25–S31
UDC:

This work intends to introduce an analytical solution for determining steady state creep stresses in thick hollow cylinder under centrifugal and mechanical loads. The solution is based on generalized strain measures. Asymptotic solution is obtained at critical points of the nonlinear differential equation defining deformed state using Seth’s transition theory. The advantage of this method is that it overcomes the incompressibility condition in classical theory and also any type of the physical problem can be solved without using creep strain law or jump conditions. The inhomogeneity in the cylinder is assumed to vary radially according to power law. In this problem, the effect of anisotropy, non-homogeneity and rotation on thick hollow cylinder has been investigated for three materials. The results are compared with the previous work and help to attain better agreement between experimental and theoretical results. The main result of this study is that, by applying a suitable angular velocity and non-homogeneity parameter, the distributions of mechanical displacement and mechanical stresses can be controlled.

Keywords: cylinder, creep, orthotropic, pressure, functionally graded material (FGM)