In this work, a multi-resolution fully meshfree solver for fluid-structure interaction (FSI) problems with large deformations and fractures is developed by coupling smoothed particle hydrodynamics (SPH) and peridynamics (PD). The fluid domain is modelled by SPH, while the dynamic response of the structure is simulated by PD. The fluid-structure acceleration-based (FSA) method is adopted to calculate the coupled force between the fluid and structure. A multi-resolution space-time coupling strategy is employed to improve the computational efficiency, where the computational domains of the fluid and the structure are discretized with different resolutions and the solvers are solved at various time steps. The SPH-PD method is verified and validated against reliable reference results. As shown in Fig. 1, by applying this solver, large deformations and fractures can be successfully captured in complex FSI simulations.