Abstract
In this chapter, considering the Lord and Shulman’s theory, a Laplace-transform boundary element method is developed for the dynamic problems in coupled thermoelasticity with relaxation time involving a finite two dimensional domain. The boundary element formulation is presented and a single heat excitation is used to drive the boundary element formulations. Aspect of numerical implementation are discussed. It is shown that the distributions of temperature, displacement, and stress show jumps at their wave fronts. The thermo-mechanical waves propagation in a finite domain and the influence of relaxation time on them are presented. The results of this section are compared with the classical coupled theory (CCT) and the Green-Lindsay theory (GL). It is verified that the LS theory of the generalized thermoelasticity results into significant differences in the patterns and wave fronts of temperature, displacement, and stress compared to the CCT and GL theories, although the material and geometrical properties of the solution domain are identical. The details of these differences are given in the result section.
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Notes
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P. Tehrani, M.R. Eslami, Boundary Element Analysis of Green and Lindsay Theory under Thermal and Mechanical Shocks in a Finite Domain. J. Thermal Stresses 23(8), 773–792 (2000).
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Eslami, M.R., Hetnarski, R.B., Ignaczak, J., Noda, N., Sumi, N., Tanigawa, Y. (2013). Boundary Element, Coupled Thermoelasticity. In: Theory of Elasticity and Thermal Stresses. Solid Mechanics and Its Applications, vol 197. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-6356-2_29
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DOI: https://doi.org/10.1007/978-94-007-6356-2_29
Publisher Name: Springer, Dordrecht
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