This study presents a comprehensive exploration of Peridynamic (PD) theory, with a specific
focus on its theoretical foundations and practical implementations, including various PD …

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

The peridynamic correspondence material model (PD CMM), generally regarded as a non-
ordinary state-based peridynamic (NOSB PD) model, is attractive because of its capability to …

The non-ordinary state-based peridynamics (NOSB PD) is attractive because of its ability to
employ existing constitutive relations for material models. The deformation gradient tensor …

A peridynamics-based framework is established for the elastic-plastic ductile fracture
analysis. In this frame, a new state-based peridynamic elastic-plastic model is presented …

An element-based peridynamics (EBPD) and finite element method (FEM) coupling model is
proposed to solve the elastic-plastic deformation and failure problems. The FEM and EBPD …

We propose a so-called Peridynamic operator method (PDOM) which can convert the local
differentiation or its products into the nonlocal integral form. We will show that the …

We look for an enhancement of the correspondence model of peridynamics, emphasizing
the elimination of zero-energy deformation modes. We propose an approach based on the …

A time-discontinuous state-based peridynamic method (SBPD-TD) is developed in this
paper to model the transient problems of wave and crack propagation in solids. In this …

In recent years, two types of nonlocal differential operators and their theories and
formulations have been proposed and used in numerical modeling and computations …