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Theory and numerical solutions of wave propagation in non-linear thermoelastic materials

Posted on:1991-01-05Degree:M.ScType:Thesis
University:University of Calgary (Canada)Candidate:Tran, David Viet DangFull Text:PDF
GTID:2470390017952163Subject:Engineering
Abstract/Summary:
The investigation of the behavior of waves propagating in thermoelastic materials is considered from two different points of view namely waves in conductors and waves in non-conductors.; For a conductor, the modified Fourier's law of heat conduction is employed to eliminate the infiniteness of the thermal wave speed which cannot be accepted on physical grounds. New approaches of the characteristics method and the finite element method are applied to study the features at the leading wavefront and to obtain the solutions of the unknowns in the disturbed region.; For a non-conductor, the system of governing equations is reduced by the absence of heat flux. Simple waves and shock waves involved in the problem are analysed by a graphical method. Three different numerical methods are employed for comparing the results: the first based on the method of characteristics, the second based on the finite element method and the third based on the group theoretic technique. The use of similarity coordinates in the location of the wavefront is also investigated.; Finally, discussions on the dynamic response of thermoelastic materials under either mechanical impact or thermal impact are briefly given. (Abstract shortened by UMI.)...
Keywords/Search Tags:Thermoelastic, Waves
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