Second Sound in a Cracked Layer Based on Lord–Shulman Theory

Abstract

Abstract In this study, a cracked layer is considered under thermal shock and is analyzed once by the Lord–Shulman theory and once by classical theory. In this way the effect of second sound of Lord–Shulman theory on a cracked layer is investigated. The Galerkin method is invoked to obtain finite element modeling of the cracked layer. The eight node rectangular element is used and the nodes near the crack tip are replaced to introduce the crack tip singularity (Barsoum element). The discretized form of Navier and energy equations are solved simultaneously in time domain by Newmark integration algorithm. The J integral formulation in dynamical thermal form is implemented to obtain stress intensity factors from the finite element solution of the problem. Keywords: FractureGeneralized thermoelasticitySIFThermal shock Acknowledgments The financial support of the National Elite Foundation is gratefully acknowledged.