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 …

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

At any instant of time, every point in the material denotes the location of a material particle,
and these infinitely many material points (particles) constitute the continuum. In an …

In this paper, we develop a dual‐horizon peridynamics (DH‐PD) formulation that naturally
includes varying horizon sizes and completely solves the 'ghost force'issue. Therefore, the …

This handbook covers the peridynamic modeling of failure and damage. Peridynamics is a
reformulation of continuum mechanics based on integration of interactions rather than …

In the past two decades, meshfree methods have emerged into a new class of computational
methods with considerable success. In addition, a significant amount of progress has been …

In this paper we discuss the peridynamic analysis of dynamic crack branching in brittle
materials and show results of convergence studies under uniform grid refinement (m …

This paper proposes a phase field model for fracture in poroelastic media. The porous
medium is modeled based on the classical Biot poroelasticity theory and the fracture …

Peridynamic models are derived by assuming that a material point is located in the bulk.
Near a surface or boundary, material points do not have a full non-local neighborhood. This …

The nonlocal peridynamic theory has been proven extremely robust for predicting damage
nucleation and propagation in materials under complex loading conditions. Its equations of …