Non-classical hygrothermal fracture behavior of a hollow cylinder with a circumferential crack

By extending the classical Fourier heat conduction law and Fick diffusion law, a hyperbolic hygrothermal coupled model is newly proposed to investigate the fracture problem of a hollow cylinder containing a circumferential crack. The cylindrical system is subjected to a hygrothermal shock at the inner surface, and its outer surface is insulated and damp-proof. The integral transform technique and decoupling technique are used to solve the hygrothermal and mechanical boundary problem. Finally, the effects of hygrothermal coupling, thermal and moisture relaxation time on the transient temperature, moisture, hygrothermal stress and stress intensity factors are calculated. It is found that the hyperbolic model gives more conservative results than the parabolic model for the safety design of structures against fracture under hygrothermal loads.