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

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 …

Peridynamics has unique advantages in solving discontinuity problems such as explosive
damage of structures. To further promote the peridynamic models, numerical algorithms and …

This paper presents for the first time an approach to the problem of electromechanical
fracture and crack propagation in piezoelectric solids with peridynamics. Fracture in …

As it is well known, non-ordinary state-based peridynamic (NOSB PD) models suffer from
inherent instability issues, which can severely affect deformation and fracture predictions …

The nonlocal operator method (NOM) is based on nonlocal theory and employs nonlocal
operators of integral form to replace the local partial differential operators. NOM naturally …

The peridynamic bond‐associated formulation has been shown to be effective in stabilizing
the conventional correspondence model for both two‐dimensional and three‐dimensional …

In this paper, a study on modeling material length-scale effect using peridynamics via the
second-order material correspondence formulation is presented. Connections of the second …

Peridynamics theory is a nonlocal continuum mechanics theory. The peridynamic material
correspondence formulation provides passage for direct incorporation of any material …

Peridynamics (PD) is a new continuum mechanics formulation introduced to overcome
limitations of classical continuum mechanics (CCM). This is mainly achieved by using …