Thermoelastic waves in a thin plate
In the present work we deal with the propagation of thermoelastic waves in a thin plate occupying the Cartesian space \((x_ 1\in [- \infty,+\infty],\quad x_ 2\in [-\alpha,+\alpha],\quad x_ 3\in [- \delta,+\delta])\). The analysis is based on the generalized theory of thermoelasticity proposed by \textit{H. W. Lord} and \textit{Y. Shulman} modified for plane stress problems [Mech. Phys. Solids 15, 299-309 (1967; Zbl 0156.227)]. A mathematical analysis is presented to study the wave motion characteristics of the plate and the proposed analysis is applied for the special cases of very short and very long waves.
homogeneous and isotropic thin plate of infinite length
scientific article; zbMATH DE number 3972294