Flexural gravity wave interaction with an articulated heterogeneous plate within the paradigm of blocking dynamics

Surface gravity waves interact with the flexural to generate whose characteristics are triggered for higher values of lateral compressive stress multiple propagating wave modes. This investigation examines scattering obliquely incident due articulation in two semi-infinite heterogeneous floating elastic plates finite water depth within a blocking dynamics regime. The dispersion curve demonstrates existence three modes limits. canonical eigenfunction expansion method used single mode is generalized account limits periods. energy relation established using conservation flux and Snell's law refraction, which depends upon angles amplitude scattered along transfer rates. coefficients (energy rate) goes beyond unit, where corresponding rate (scattering coefficients) diminishes specific Subsequently, complete reflection occurs oblique critical angle incidence fixed period prior at incidence. Removable discontinuities occur saddle points, while jump discontinuity appears change coefficients. plots reveal irregular pattern plate deflection Linear time-dependent displacement simulated dimensions.