In this paper an incompressible Smoothed Particle Hydrodynamics (SPH) method is proposed for simulation of fluid-structure interaction problems, deploying the pressure Poisson equation to satisfy incompressibility constraints. Viscous fluid flow past rigid and hypoelastic solid surfaces is studied. The fluid is fully coupled with the solid structure that can undergo large structural deformations. A key feature of the proposed scheme is that the no-slip and coupling conditions on the contact surface are satisfied automatically. To alleviate the numerical difficulties encountered when a hypoelastic solid structure is highly stretched, an artificial stress term is incorporated into the momentum equation which reduces the risk of unrealistic fractures in the material. Three challenging test cases, deformation of an elastic plate subjected to time-dependent water pressure, collapse of a water column with an obstacle and breaking dam on a hypoelastic wall are solved to demonstrate the capability of the proposed scheme. The results are in very good agreement with available experimental results.

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