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 …

This study presents the ordinary state-based peridynamic constitutive relations for plastic
deformation based on von Mises yield criteria with isotropic hardening. The peridynamic …

An implicit implementation of the non-ordinary state-based peridynamics formulation for
quasi-static linearly elastic solids is presented. Emphasis is placed on assessing the …

The static solution of crack propagation problems can be an efficient way to find both the
failure load of a structure and the shape of the crack pattern. The paper introduces two new …

The aim of this review is to classify and provide a summary of the most widely used theories
of continuum mechanics with nonlocal elastic response ranging from generalized continua …

Lagrangian formulations, in which material models are established upon a mapping from a
deformed domain back to an undeformed reference configuration, have traditionally been …

A general peridynamics-based framework for elastic bimaterial interface fracture analysis is
established. In this frame, the formation of peridynamic interface bond force is presented for …

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 …

An extended bond-based peridynamic approach is proposed for quantitative analysis of
elastic deformation and simulation of both quasi-static and dynamic crack propagation. A …

In this work, the authors formulate a 2‐D linearized ordinary state‐based peridynamic model
of elastic deformations and compute the stiffness matrix for 2‐D plane stress/strain …