Peridynamic (PD) theory is an integral-type nonlocal continuum mechanics theory that
reformulates the equation of motion in local continuum mechanics as an integrodifferential …

Irregular non-uniform discretization of the solution domain in models based on peridynamic
theory can improve computational efficiency by allowing local refinement and remove mesh …

The peridynamic correspondence material models provide a way to convert the classical
continuum constitutive models into the framework of non-ordinary state-based peridynamics …

A new unified particle model that couples the Smoothed Particle Hydrodynamics (SPH) and
a discontinuous approach known as the Volume Compensated Particle Method (VCPM) is …

A novel non-local lattice particle method for three-dimensional elasticity and fracture
simulation of isotropic solids is proposed in this paper. First, the basic concept and detailed …

A novel nonlocal lattice particle model for fracture simulation of anisotropic materials is
proposed. The key idea is to handle material anisotropy by rotating topological lattice …

Explicit expressions for continuum-like measures of deformation gradient, strain and stress
tensors were constructed using the techniques of weighted least squares and energy …

In this paper, a novel nonlocal crystal plasticity lattice particle method (CPLPM) is proposed
and verified for modeling plasticity of cubic crystals. The proposed CPLPM is fundamentally …

A novel nonlocal lattice particle framework is proposed to investigate the microstructural
effects, such as the crystallographic orientation distribution and grain boundary properties …

In this paper, numerical simulations are proposed to investigate mechanical properties of bi-
continuous and particulate reinforced composite materials using a non-local voxel-based …