Effect of the laser pulse on transient waves in a non-local thermoelastic medium under Green-Naghdi theory

Nantu Sarkar , Sudip Mondal , Mohamed I.A. Othman anomalous

Abstract

This paper aims to study the effect of the elastic nonlocality on the transient waves in a two-dimensional thermoelastic medium influenced by thermal loading due to the laser pulse. The bounding plane surface is heated by a non-Gaussian laser beam. The problem is discussed under the Eringen\'s nonlocal elasticity model and the Green-Naghdi (G-N) theory with and without energy dissipation. The normal mode analysis method is used to get the exact expressions for the physical quantities which illustrated graphically by comparison and discussion. The effects of nonlocality and different values of time on the displacement, the stresses, and the temperature were made numerically. All the computed results obtained have been depicted graphically and explained.

Key Words

nonlocal; laser pulse; Green-Naghdi theory; normal mode; ramp parameter

Address

Nantu Sarkar — Department of Applied Mathematics, University of Calcutta, Kolkata-700 009, India
Sudip Mondal — Department of Mathematics, Basirhat College, North 24 Parganas-743412, India
Mohamed I.A. Othman anomalous — Department of Mathematics, Faculty of Science, P.O. Box 44519, Zagazig University, Zagazig, Egypt

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