Boundary integral equation formulation for the generalized micro-polar thermoviscoelasticity |
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Authors: | Ahmed S. El-Karamany |
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Affiliation: | Department of Mathematics, Faculty of Education, P.O. Box 272, Rustaq 329, Oman |
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Abstract: | A formulation of the boundary integral equation method for generalized linear micro-polar thermoviscoelasticity is given. Fundamental solutions, in Laplace transform domain, of the corresponding differential equations are obtained. The initial, mixed boundary value problem is considered as an example illustrating the BIE formulation. The results are applicable to the generalized thermoelasticity theories: Lord-Shulman with one relaxation time, Green-Lindsay with two relaxation times, Green-Naghdi theories, and Chandrasekharaiah and Tzou with dual-phase lag, as well as to the dynamic coupled theory. The cases of generalized linear micro-polar thermoviscoelasticity of Kelvin-Voigt model, generalized linear thermoviscoelasticity and generalized thermoelasticity can be obtained from the given results. |
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Keywords: | Boundary integral equation formulation Generalized micro-polar thermoviscoelasticity Viscoelasticity Generalized thermoelasticity Green functions Fundamental solutions |
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