Dispersion analysis of Love-type surface waves in thermoelastic layered medium with irregular interface
摘要
This study presents an analytical investigation of Love-type surface wave propagation in a layered elastic media consisting of an isotropic thermoelastic layer with a free upper surface overlying a non-homogeneous elastic half-space. A triangular-shaped interface irregularity is incorporated to represent non-planar boundary effects. The present work simultaneously incorporates material inhomogeneity, thermoelastic effects, and interface irregularity within a unified analytical framework. The governing equations are formulated within the framework of theory of elasticity and solved using Fourier and inverse Fourier transform techniques. A perturbation approach is employed to derive the dispersion relation for Love-type surface waves in the presence of interface irregularity.
Numerical evaluation of the dispersion relation is carried out to examine the influence of material inhomogeneity and the ratio of irregularity depth to layer thickness on the phase velocity. The results show that material inhomogeneity governs the overall reduction in phase velocity, while interface irregularity primarily affects dispersion in the low wave-number regime through changes in wave confinement. The findings provide new physical insight into guided wave propagation in thermoelastic layered media with non-planar interfaces and are relevant to dispersion-based characterization and wave-based sensing applications.