Scattering of P-wave and transient response around a fluid-filled cavity in an elastic medium

Abstract

The dynamic stress concentration ascribed to the scattering of dynamic disturbances encountered by different structures is an important factor affecting the damage of deep subsurface structures. To study the dynamic response around the underground fluid-filled cavity, a simplified model of the plane P-waves incident in the fluid-filled circular cavity with rock mass structure was established. Series solutions of dynamic stress concentration around the fluid-filled cavity were achieved based on the wave function expansion methods and stress boundary conditions. Using Fourier integral transformation, the expression of dynamic stress concentration factors (DSCFs) around the fluid-filled cavity subjected to transient impact was derived. Then, the relationship between DSCFs and their waveform parameters under steady-state and transient incident waves was quantitatively analyzed. In addition, a numerical model was established using the finite element numerical simulation software LS-DYNA and dynamic stress concentration and failure characteristics around the fluid-filled cavity under transient impact load were simulated. The direction of incident, Poisson ratio, time, and wavenumbers have different effects on the distribution of dynamic stress concentration around the fluid-filled circular cavity.

Keywords

fluid-filled cavity / wave scattering / wave functions expansion / dynamic stress concentration

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