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

A boundary element method based on the Laplace technique is developed for t ransient coupled thermoelasticity problems with relaxation times in a two-d imensional finite domain. The dynamic thermoelastic model of Green and Lind say (Green, A. E,, and Lindsay, K. E., "Thermoelasticity," Journal of Elast icity, 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 o f the Mechanics and Physics of Solids, Vol, 15, 1967, pp. 299-309) are sele cted, The Laplace transform method is applied in the time domain, and the r esulting equations in the transformed field are discretized using a boundar y element method. The nodal dimensionless temperature and displacements in the transformed domain are inverted to obtain the actual physical quantitie s, using the numerical inversion of the Laplace transform method. The conce rn is with thermoelastic waves detection, propagation, and reflection in a finite domain that have not been reported on in the past. Comparison is mad e with other solutions, and coupling and relaxation time effects in stress, displacement, and temperature distribution are investigated. Details of th e formulation and numerical implementation are presented.