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HAIT Journal of Science and Engineering B Volume x, Issue x, pp. xxx-xxx © 2006 Holon Institute of Technology | ||||
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Thermoelastic vibrations with thermal relaxation time in multilayered media
Kishori Lal Verma
Department of Mathematics, Government Post Graduate College Hamirpur | Hamirpur, Himachal Pradesh 177005, India email: klverma@sancharnet.in Received 19 October 2005, revised 28 January 2006, accepted 1 February 2006
| A theoretical treatment is presented for interaction of thermoelastic waves with $n$-layered isotropic plates in the context of generalized theory of thermoelasticity, using the matrix transfer technique. The wave is supposed to be incident at an arbitrary angle, upon a plate consisting of an arbitrary number of different thermoelastic isotropic layers. Solutions for each layer are derived and expressed in terms of wave amplitudes. By eliminating these amplitudes the displacements, temperature, thermal stresses and temperature gradient are on one side of the layer are related to those of the other side. By satisfying appropriate conditions at interlayer interfaces a matrix is constructed which relates displacements, temperature, thermal stresses and temperature gradient on one side of the plate to those of the other side. Invoking appropriate boundary conditions on the plate outer boundaries, many important problems can be solved. The model developed will be of value in material characterization and others quantitative information on thermo-mechanical, strength related properties of advanced materials. The propagation of free waves on the plate and propagation of waves in periodic media consisting of a repetition of the plate are considered in this paper. A variety of numerical illustrations are included.
Keywords: Layered plates, generalized thermoelasticity, temperature
gradient, thermal relaxation time.
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