Peridynamics is a relatively new nonlocal meshfree particle method that can be used to conduct fast simulation of fracture and fragmentation of solids without remesh. In this talk, we shall introduce the theory of  both bond-based peridynamics as well as the state-based peridynamics, their computational formulations, focusing on issues of computer implementation and physical modeling. Moreover, we shall discuss our recent wok on developing a nonlinear peridynamics model for granular materials, such as the non-saturated and the full saturated soils, and how to apply them to simulate soil fragmentation due to both impulse and blast loads.

The presented work is the latest development of computational geotechnical materials.

First, we have extended the state-based peridynamics technique, which replaces the local differential equation with a non-local integral equation. We have implemented the Drucker-Prager constitutive model in peridynamics for finite deformation. Here the peridynamics form of the Hughes and Winget theory is derived for the finite deformation constitutive update. Second, we have developed a peridynamics U-p formulation for saturated soils. Third, numerical simulations have been carried out to verify the proposed peridynamics formulations in soil fragmentation for several bench mark problems. The comparison of the numerical, theoretical, and experimental results indicate that peridynamics model has the capability in prediction of the complex soil fragmentation under blast loads.