Asymptotic and numerical analysis of thermoelastic waves in an isotropic plate. (English) Zbl 1115.74018

Summary: This paper considers the propagation of a plane thermoelastic wave in an infinite homogeneous isotropic plate subjected to either isothermal or thermally insulated traction-free boundary conditions. The primary concerns are the derivation and numerical examination of the dispersion relations along with the development of asymptotic models for fundamental branches of the dispersion relations. Thermal dissipation is also discussed.


74F05 Thermal effects in solid mechanics
74J05 Linear waves in solid mechanics
74K20 Plates
74H10 Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics
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