This paper proposes and validates a new formulation on the dynamic response of dam-reservoir system, including water compressibility, absorption of the boundary of the reservoir, the earthquake excitation from different directions and the radiation condition boundary at infinity. The impounded water is modeled by Scaled Boundary Finite Element Method, and discretization only at the boundary coi...

The scaled boundary finite element method (SBFEM) is extended for shape sensitivity analysis of stress intensity factors (SIFs) with respect to the crack geometry. The procedure combines the finite element formulations with the boundary discretization. The original equations of the SBFEM are reformulated as functions of the so-called scaling centre, synonymous to the crack tip. The variation in...

Abstract The scaled boundary finite element method (SBFEM) is a relatively recent that allows the approximation of solutions to partial differential equations (PDEs) without need fundamental solution. A theoretical framework for convergence analysis SBFEM proposed here. This achieved by defining space semi-discrete functions and constructing an interpolation operator onto this space. We prove e...