Fracture is one of the most commonly encountered failure modes of engineering materials
and structures. Prevention of cracking-induced failure is, therefore, a major concern in …

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 …

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 …

A generalization of the original peridynamic framework for solid mechanics is proposed. This
generalization permits the response of a material at a point to depend collectively on the …

In this paper, we present a dual-horizon peridynamics formulation which allows for
simulations with dual-horizon with minimal spurious wave reflection. We prove the general …

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 …

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 …

In this paper, a numerical model that couples peridynamics (PD) with smoothed particle
hydrodynamics (SPH) is presented for fracture modeling in fluid–structure interaction (FSI) …

Peridynamics (PD) is a novel continuum mechanics theory established by Stewart Silling in
2000. The roots of PD can be traced back to the early works of Gabrio Piola according to …