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Thermoelastic waves in an anisotropic infinite plate Hussain Al-Qahtani and Subhendu K. Dattaa)

Summary: Thermoelastic waves in an anisotropic infinite plate
Hussain Al-Qahtani and Subhendu K. Dattaa)
Department of Mechanical Engineering, University of Colorado, Boulder, Colorado 80309-0427
(Received 25 March 2004; accepted 2 June 2004)
An analysis of the propogation of thermoelastic waves in a homogeneous, anisotropic, thermally
conducting plate has been presented in the context of the generalized Lord-Shulman theory of
thermoelasticity. Three different methods are used in this analysis: two of them are exact and the
third is a semianalytic finite element method (SAFE). In our exact analysis, two different approaches
are used. The first one, which is applicable to transversely isotropic plate, is based on introducing
displacement potential functions, whereas in the second approach, which is applicable to any
triclinic material, we rewrite the governing equations and boundary conditions in a matrix form.
Finally, in the SAFE method, the plate is discretized along its thickness using N parallel,
homogeneous layers, which are perfectly bonded together. Frequency spectrum and dispersion
curves are obtained using the three methods and are shown to agree well with each other. The effects
of thermal relaxation time and coupling term are also investigated. Numerical calculations have
been presented for a silicon nitride Si3N4 plate. However, the methods can be used for other
materials as well. 2004 American Institute of Physics. [DOI: 10.1063/1.1776323]
During the second half of the 20th century, nonisother-
mal problems of the theory of elasticity have been investi-


Source: Al-Qahtani, Hussain M. - Mechanical Engineering Department, King Fahd University of Petroleum and Minerals


Collections: Engineering