Dynamic response and oscillations of an elastic spherical body in the field of an external harmonic wave

This paper examines the interaction of a plane longitudinal elastic wave with a spherical body with physical and mechanical properties different from those of the host medium. The mathematical model is constructed using wave equations for scalar and vector potentials. The solution is presented as expansions in orthogonal spherical harmonics. The influence of the incident wave frequency on the stress-strain state of the interface is analyzed.

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