Generalized Thermoelastic Waves in a Homogeneous Anisotropic Plate with Voids

In this contribution, the thermoelastic Lamb waves in the homogeneous, transversely isotropic, plate containing voids have been investigated in the context of classical and non-classical theories of thermoelasticity. To investigate the problem, the fundamental governing equations have been developed in a unified way. On the solutions of these governing equations, the thermal and mechanical stress-free boundary conditions, as well as constraints due to voids, have been imposed. The solutions of governing equations indicate that there lies a coupled system of wave motion called thermal waves (T-mode), void wave motion (V-mode), and elastic waves (E-mode). However, the shear horizontal component of elastic waves decouples from the system being unaffected by elasto-poro-thermal coupling. For the symmetric and anti-symmetric families of vibrations, the secular equation for the wave motion along with its special cases has been derived. To discover the wave characteristics, the secular equation has been solved using the numerical functional iteration method in MATLAB software, and the findings have been manifested by plotting the graphs. It has been concluded that the presence of voids affects the magnitudes of phase velocity, attenuation coefficient, and specific loss. This work may be helpful for geophysicists and engineers in the field of earthquake engineering. The developers of modern facilitating things such as acoustic touch screens, liquid viscosity sensors, etc. which are based on Lamb-type wave propagation may also get benefitted.