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Structural Engineering and Mechanics Volume 80, Number 6, December25 2021 , pages 669-675 DOI: https://doi.org/10.12989/sem.2021.80.6.669 |
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A GN model of thermoelastic interaction in a 2D orthotropic material due to pulse heat flux |
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Aatef Hobiny and Ibrahim A. Abbas
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| Abstract | ||
| A GN model with and without energy dissipations is used to discuss the waves propagation in a two-dimension orthotropic half space by the eigenvalues approach. Using the Laplace-Fourier integral transforms to get the solutions of the problem analytically, the basic formulations of the two-dimension problem are given by matrices-vectors differential forms, which are then solved by the eigenvalues scheme. Numerical techniques are used for the inversion processes of the Laplace-Fourier transform. The results for physical quantities are represented graphically. The numerical outcomes show that the characteristic time of pulse heat flux have great impacts on the studied fields values. | ||
| Key Words | ||
| eigenvalue approaches; Laplace-Fourier transforms; orthotropic elastic material | ||
| Address | ||
| Aatef Hobiny: Nonlinear Analysis and Applied Mathematics Research Group (NAAM), Mathematics Department, King Abdulaziz University, Jeddah, Saudi Arabia Ibrahim A. Abbas: Nonlinear Analysis and Applied Mathematics Research Group (NAAM), Mathematics Department, King Abdulaziz University, Jeddah, Saudi Arabia; Department of Mathematics, Faculty of Science, Sohag University, Sohag, Egypt | ||