Thermoelastic waves in a waveguide |
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| Affiliation: | 1. School of Mathematics, South China University of Technology, Guangzhou 510641, PR China;2. Research Center for Applied Mathematics and Interdisciplinary Sciences, School of Mathematical and Physical Sciences, Wuhan Textile University, Wuhan 430200, PR China |
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| Abstract: | The propagation of thermoelastic waves in a waveguide occupying the Cartesian space x1 ϵ 0, L], x2 ϵ − H, + H], x3 ϵ − ∞, + ∞] is discussed. The analysis is based on the generalized theory proposed by Lord and Shulman. The solution of the problem is expressed in terms of the Lamé's scalar and vector potentials and the frequency equations are derived. For the special case of very short waves numerical results for the wave motion characteristics are presented and the role of the various parameters entering into the problem is extensively discussed. |
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