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Structural Engineering and Mechanics Volume 74, Number 4, May25 2020, pages 471-479 DOI: http://dx.doi.org/10.12989/sem.2020.74.4.471 |
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Effect of the laser pulse on transient waves in a non-local thermoelastic medium under Green-Naghdi theory |
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Nantu Sarkar, Sudip Mondal and Mohamed I.A. Othman
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| 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 | ||