A nonlocal lattice particle framework for modeling of solids

In this paper, we present a nonlocal lattice particle framework for modeling the brittle behaviors of both isotropic and anisotropic solid materials. Different from other continuum based models, the formulation of this lattice particle model is discrete and there is no spatial derivative involved. This avoids the singularity issues of discontinuous problems, which commonly exists in continuum based models. The model is also nonlocal that a discrete element can interacts with its neighbors up to certain distance. This nonlocality better solves some issues in other discrete models, such as fixed range of Poisson's ratio. The modeling capability and accuracy are demonstrated using numerical examples.