Publisher Summary The classical theory of solid mechanics is based on the assumption of a
continuous distribution of mass within a body and all internal forces are contact forces that …

Abstract Peridynamics (PD), a non-local generalization of classical continuum mechanics
(CCM) allowing for discontinuous displacement fields, provides an attractive framework for …

Peridynamic correspondence material models provide a way to combine a material model
from the local theory with the inherent capabilities of peridynamics to model long-range …

Peridynamics is a continuum reformulation of the standard theory of solid mechanics. Unlike
the partial differential equations of the standard theory, the basic equations of peridynamics …

Failure and damage of natural and man-made materials as a result of impact loading needs
to be understood as it is a phenomena that occurs in many fields of science and …

An extension of the constitutive correspondence framework of peridynamics is proposed.
The main motivation is to address unphysical deformation modes which are shown to be …

Peridigm is Sandia's primary open-source computational peridynamics code. It is a
component software project, built largely upon Sandia's Trilinos project and Sandia's agile …

Peridynamics has gained significant attention as an alternative formulation for problems in
solid mechanics. Recent contributions have included initial attempts to include material …

Non-ordinary state-based peridynamics suffers from zero-energy modes due to nodal
integration, causing instabilities of the displacement, stress and strain fields. A stabilized non …

This paper presents a numerical method to control the spurious deformation mode
conventionally found in a non-ordinary state-based peridynamic formulation. The proposed …