Thermal Shock In Periodic Edge-Cracked Plate Supported By Elastic Foundation

Abstract

The study of the transient thermal stress problem for a periodic edge cracks in an elastic plate on an elastic foundations is investigated. This study may also be applied for circumferentially periodic cracked hollow cylinder under transient thermal stresses. Based on previous studies, the cylindrical shell may be modeled by a plate on an elastic foundation. The thermal stresses are generated due to sudden convective cooling on the boundary containing the edge cracks while the other boundary is insulated. The superposition technique is utilized to solve the problem. The perturbation problem is formulated by using the thermal stresses obtained from uncracked problem with opposite sign on the crack surfaces as the only external loading. This leads to hypersingular integral equation with the crack surface displacement as the only unknown function. The main output of this study is the transient stress intensity factors that are evaluated numerically. The parametric studies based on time (Fourier number), crack length, coefficient of heat transfer (Biot number), Periodic crack spacing and the stiffness of elastic foundation are investigated. 
Keywords: Fracture mechanics, Thermal stresses, Periodic crack, Stress intensity  factor.