Interaction of plane nonstationary waves with a thin elastic inclusion under smooth contact conditions

Modeling of flexural vibrations of a Kirchhoff plate with a thin-walled elastic inclusion of weak contrast

“…where W 0 and θ in are the amplitude and angle of incidence of the wave. Substituting the asymptotic representations of the functions H 0 (1) (x) and K 0 (x) for large arguments in (12), we obtain from ( 5) and ( 12) the following expression for the complex amplitude of the scattering of flexural waves:…”

“…The diffraction phenomena in elastic media, containing thin-walled elastic elements, were investigated in numerous works (see, e.g., [2,6,7,12] and literature reviews therein). This is caused by the practical requirements of fracture mechanics, nondestructive testing, mechanics of composite materials and structures, etc.…”

“…This is caused by the practical requirements of fracture mechanics, nondestructive testing, mechanics of composite materials and structures, etc. The dominant majority of these works is devoted to considering thin high-or low-rigidity inhomogeneities [3,9,12,14]. The dynamic interaction of weak-contrast inclusions with an elastic medium was studied only in single instances [2,5].…”