Hygrothermoelastic fracture behavior of a nanocylinder with an edge circumferential crack via dual-phase-lag theory

Abstract

The proposed hyperbolic hygrothermal coupled model, which incorporates non-Fourier and non-Fick effects, is used to examine the fracture behavior of a nanocylinder with a circumferential crack through dual-phase-lag (DPL) theory. Analytical solutions for temperature distribution, moisture distribution, and hygrothermal stresses in an uncracked nanocylinder are obtained using Laplace transform and approximation methods in the Laplace domain. The mode-I crack problem is formulated by applying an opposite sign to the crack surface through the superposition method. The Numerical Inverse Laplace Transform (NILT) is then employed to derive solutions in the time domain. Results indicate that the hyperbolic hygrothermal model yields more conservative outcomes compared to the parabolic hygrothermal model for the safe design of structures with cracked surfaces. The phase lag effects of heat and moisture flux on transient temperature fields, moisture fields, hygrothermal stresses, stress intensity factors, and crack opening displacements are shown graphically.