Coupled Thermoelastic Analysis of Semi-elliptical Crack in Thick-walled Cylinder Considering Green-Lindsay and Green-Naghdi Type II Theories

Abstract

In this paper, the stress intensity factors for semi-elliptical cracks in a homogeneous isotropic cylinder have been determined. Athick-walled cylinder is subjected to a one-dimensional axisymmetric thermal shock on the outer surface according to the classic thermo elasticity (CTE), Green-Lindsay (G-L), and Green-Naghdi (G-N) theories. The effect of temperature-strain coupling and the effect of inertia term in governing equations are considered. The semi-elliptical crack stress intensity factors (SIFs) at the deepest and surface pointsare determined using weight function method. The comparison between the temperature, stress, and SIF obtained from CTE, G-L, and G-N theories shows the different behavior of generalized theories and CTE. By considering relaxation times, prediction of higher temperature and stress values, in contrast to CTE theory, will be resulted. Furthermore, the SIF resulted from generalized theories is significantly higher than CTE theory. The temperature, stress, and maximum SIF obtained for G-N II is higher than G-L theory.