부산대학교 도서관

Summary: ``In this work the scattering of time-harmonic thermoelasticwaves by a multi-layered thermoelastic body is considered. Themathematical formulation of the scattering problem is presented in aunified four-dimensional form. Using the thermoelastic analogue ofBetti's identity, the transmission conditions and asymptotic analysisin the dyadic fundamental solution of thermoelasticity, an integralrepresentation of the scattered field as well as formulas of thethermoelastic far-field patterns containing the physical parameters ofthe scatterer's layers are constructed. Via the Rellich's Lemma forvector fields, the Helmholtz decomposition of thermoelastic waves andthe Kupradze's radiation conditions, uniqueness of solution is proved.Setting the solution to be a linear combination of single- and double-layer thermoelastic potentials and using their jump relations, thescattering problem is transformed into a system of integral equationswritten in a matrix form. Using the regularity properties of thepotentials and the Riesz-Fredholm's theory existence of solution isobtained.''