Boundary element analysis of coupled thermoelasticity with relaxation times in finite domain

A boundary element method based on the Laplace technique is developed for transient coupled thermoelasticity problems with relaxation times in a two-dimensional finite domain. The dynamic thermoelastic model of Green and Lindsay (Green, A. E,, and Lindsay, K. E., "Thermoelasticity," Journal of Elasticity, Vol. 2, No. 1, 1972, pp. 1-7) and Lord and Shulman (Lord, H. W., and Shulman, Y., "A Generalized Dynamic Theory of Thermoelasticity," Journal of the Mechanics and Physics of Solids, Vol, 15, 1967, pp. 299-309) are selected, The Laplace transform method is applied in the time domain, and the resulting equations in the transformed field are discretized using a boundary element method. The nodal dimensionless temperature and displacements in the transformed domain are inverted to obtain the actual physical quantities, using the numerical inversion of the Laplace transform method. The concern is with thermoelastic waves detection, propagation, and reflection in a finite domain that have not been reported on in the past. Comparison is made with other solutions, and coupling and relaxation time effects in stress, displacement, and temperature distribution are investigated. Details of the formulation and numerical implementation are presented.