Coupled thermoelastic fracture analysis of a cracked fiber reinforced composite hollow cylinder by fractional Cattaneo-Vernotte models

Abstract

Coupled thermoelastic fracture problem of a fiber reinforced composite hollow cylinder containing an embedded circumferential crack is investigated in the present paper based on generalized fractional Cattaneo-Vernotte heat conduction models. The temperature and stress fields are obtained by solving the coupled partial differential equations, and then corresponding thermal axial stress with minus sign is applied to the crack surface to form a mode I crack problem. Integral transform techniques are employed to reduce the mixed boundary value problem to a series of singular integral equations. The effects of different fractional Cattaneo-Vernotte models, fractional order, convective heat transfer coefficient, volume fraction, and thermodynamic coupling coefficient on the transient temperature and thermal stress intensity factors are analyzed. The results show that each physical parameter has a significant effect on the responses, which is important to make predictions regarding the stability of crack growth, thermal fatigue life etc.