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

Salnikov, Valeriy; Scott, Nigel

IMA J. Appl. Math. 71, No. 3, 409-433 (2006).

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.

MSC:

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

Keywords:

thermal dissipation; plane wave; dispersion relations