Application of Moore Gibson–Thompson effects on wave propagation and reflection in nonlocal solid medium

In this paper, the wave propagation and reflection are studied in nonlocal solid under the impact of Moore Gibson–Thompson model. The governing equations are Helmholtzed and converted into the homogeneous algebraic system of equations. The algebraic equations have non-trivial solutions that can provide the dispersion relation associated with propagation speed. Two coupled longitudinal waves (P-waves and T-waves) and one transverse wave (SV-wave) can be obtained from the dispersion relation. In this case, the ratios of the amplitudes of the reflected waves are calculated analytically by imposing a given set of appropriate boundary conditions. The amplitude ratio and propagation speed are also plotted graphically. The influence of nonlocality and thermal relaxation time parameter on the gained results is examined and visualized through graphical representations. Optimal results are obtained by neglecting the thermal relaxation time parameter.