Transient Thermoelastic Analysis of a Penny-shaped Crack in a Solid Cylinder Using the Non-Fourier Heat Conduction Theory

摘要

This paper analyzes the transient thermal stress intensity factor in a long solid cylinder with a penny-shaped crack using the non-Fourier heat conduction theory.The surface temperature of the cylinder is suddenly changed.The one-dimensional hyperbolic heat conduction equation is solved analytically and the axial thermal stress for the un-cracked cylinder is obtained in a closed form.Then the mixed boundary value problem in the cylindrical coordinate system is solved using the Fourier and Hankel transforms.A singular integral equation is derived by defining a dislocation density function over the crack faces when solving the problem.The transient thermal stress intensity factors are obtained by solving the singular integral equation numerically.Finally,the influences of thermal relaxation time upon transient temperature distributions,and stress intensity factors are analyzed.