This article deals with the thermoelastic interaction in a three-dimensional homogeneous and isotropic viscoelastic medium under the Dual-phase-lag model of generalized thermoelasticity. The resulting non-dimensional coupled equations are applied to a specific problem of a half-space whose surface is traction-free and is subjected to a time-dependent thermal shock. | Three dimensional viscoelastic medium under thermal shock Engineering Solid Mechanics 4 2016 187-200 Contents lists available at GrowingScience Engineering Solid Mechanics homepage esm Three dimensional viscoelastic medium under thermal shock Abhik Sur and M. Kanoria Department of Applied Mathematics University of Calcutta 92 . Road Kolkata-700009 West Bengal India A R T I C L EI N F O ABSTRACT Article history This article deals with the thermoelastic interaction in a three-dimensional homogeneous and Received 6 March 2016 isotropic viscoelastic medium under the Dual-phase-lag model of generalized thermoelasticity. Accepted 23 June 2016 The resulting non-dimensional coupled equations are applied to a specific problem of a half- Available online space whose surface is traction-free and is subjected to a time-dependent thermal shock. The 23 June 2016 Keywords analytical expressions for the displacement components stress temperature and strain are Generalized thermoelasticity obtained in the physical domain by employing normal mode analysis. These expressions are Dual-phase-lag thermoelastic also calculated for a copper-like material and have been depicted graphically. Discussions have model been made to highlight the effect of viscosity on the studied field. The phenomenon of a finite Kelvin-Voigt-model speed of propagation is observed for each field. Also if the effect of viscosity is neglected the Finite wave speed results agree with the existing literature. Normal mode analysis 2016 Growing Science Ltd. All rights reserved. 1. Introduction Linear viscoelasticity has been an important area of research since the period of Maxwell Boltzman Voigt and Kelvin. Valuable information regarding linear viscoelasticity theory may be obtained in the books of Gross 1953 Alfery and Gurnee 1956 Ferry 1970 Bland 1960 and Lakes 1998 . Many researchers like Biot 1954 1955 Gurtin and Sternberg 1962 Iiioushin and Pobedria 1970 Tanner 1988 have contributed
