Generalized Magneto-thermoelasticity in a Fiber-Reinforced Anisotropic Half-Space |
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Authors: | Ibrahim A Abbas Abo-el-nour N Abd-alla Mohamed I A Othman |
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Affiliation: | (1) Faculty of Science, Department of Mathematics, Zagazig University, P.O. Box 44519, Zagazig, Egypt;(2) Higher Institute of Engineering, Dep. of Eng. Math. and Physics, Shorouk Academy, El Shorouk, Egypt;(3) Faculty of Science, Department of Maths., Shaqra University, P.O. Box 102, Al-Qowyiyaia, Saudi Arabia;(4) Department of Mathematics, Faculty of Science, Shaqra University, Al-Dawadme, 11911, P.O. Box 1040, Kingdom of Saudi Arabia |
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Abstract: | The propagation of plane waves in a fiber-reinforced, anisotropic thermoelastic half-space proposed by Lord–Shulman under
the effect of a magnetic field is discussed. The problem has been solved numerically using a finite element method. Numerical
results for the temperature distribution, the displacement components, and the thermal stress are given and illustrated graphically.
Comparisons are made with the results predicted by the theory of generalized thermoelasticity with one relaxation time for
different values of time. It is found that the reinforcement has a great effect on the distribution of field quantities. |
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