Coupled EISPH–OSPD framework for modeling hydroelastic response and brittle fracture

Abstract Accurate simulation of fluid–structure interaction (FSI) involving incompressible flows and deformable solids remains a significant computational challenge due to the nonlinear coupling and complex interface dynamics. This study presents a coupling framework integrating the Explicit Incompressible Smoothed Particle Hydrodynamics (EISPH) method for fluid modeling with the Ordinary State-Based Peridynamics (OSPD) formulation for solid mechanics. The framework aims to capture FSI phenomena encompassing large elastic deformations and structural failures. The elastic response of the OSPD model is validated through cantilever beam simulations, highlighting the efficacy of surface correction techniques and second-order predictor–corrector time integration schemes. Fracture behavior is assessed via the Kalthoff–Winkler experiment, demonstrating the model’s capability in simulating crack propagation. The coupling strategy employs momentum exchange and subcycling-based time integration to ensure numerical stability and physical fidelity. Benchmark tests, including dam-break scenarios and free-surface flow interactions with elastic structures, confirm the robustness and accuracy of the framework. Notably, the incompressible SPH method contributes to pressure stability without necessitating additional stabilization terms, even in simulations involving structural failure. Overall, the developed framework offers a physically consistent, stable, and accurate approach for simulating complex FSI problems.