Steel and Composite Structures

Volume 36, Number 3, 2020, pages 249-259

DOI: 10.12989/scs.2020.36.3.249

Effect of pulsed laser heating on 3-D problem of thermoelastic medium with diffusion under Green-Lindsay theory

Mohamed I.A. Othman and Sarhan Y. Atwa

Abstract

In this work, a novel three-dimensional model in the generalized thermoelasticity for a homogeneous an isotropic medium was investigated with diffusion, under the effect of thermal loading due to laser pulse in the context of Green-Lindsay theory was investigated. The normal mode analysis technique is used to solve the resulting non-dimensional equations of the problem. Numerical results for the displacement, the thermal stress, the strain, the temperature, the mass concentration, and the chemical potential distributions are represented graphically to display the effect of the thermal loading due to laser pulse and the relaxation time on the resulting quantities. Comparisons are made within the theory in the presence and absence of laser pulse.

Key Words

generalized thermoelasticity; 3-D modeling; laser pulse; diffusion; G-L theory

Address

Mohamed I.A. Othman: Department of Mathematics, Faculty of Science, Zagazig University, P.O. Box 44519, Zagazig, Egypt Sarhan Y. Atwa: Department of Engineering Mathematics and Physics, Higher Institute of Engineering, Shorouk Academy, Cairo, Egypt