The Coupled thermoelasticity analysis of circumferentially cracked thick-walled cylinder considering Green-Lindsay and Green-Naghdi type II

In this paper, the stress intensity factor for circumferential crack in an isotopic cylinder has been determined. The thickwalled cylinder is subjected to a one-dimensional axisymmetric thermal shock on the outer surface according to the classic thermoelasticity (CTE), Green-Lindsay (G-L) and Green-Naghdi (G-N) theories. The considered unified form of governing equations involves CTE, G-L and G-N theories. The effects of temperature-strain coupling and the inertia term in governing equations are considered. The circumferential crack stress intensity factor determinates using weight function method. Considering relaxation times in generalized theories governing equations result in predicting higher temperature and stress values in comparison with CTE. Also, generalized theories stress intensity factor is higher than CTE significantly. Moreover, the maximum stress intensity factor in generalized theories occurs for a crack that the peak of stress wave reaches to its tip. Because of neglecting energy dissipation in G-N type II governing equations, its maximum of stress and stress intensity factor is higher than G-L theory.