AbstractA study on the dynamic response of three‐dimensional flexible foundations of arbitrary shape, embedded in a homogenous, isotropic and linear elastic half‐space is presented. Both massive and massless foundations are considered. The soil‐foundation system is subjected to externally applied forces, and/or to obliquely incident seismic waves. The numerical method employed is a combination of the frequency domain Boundary Element Method, which is used to simulate the elastic soil medium, and the Finite Element Method, on the basis of which the stiffness matrix of the foundation is obtained. The foundation and soil media are combined by enforcing compatibility and equilibrium conditions at their common interface. Both relaxed and completely bonded boundary conditions are considered. The accuracy of the proposed methodology is partially verified through comparison studies with results reported in the literature for rigid embedded founda
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