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 …

Computational modeling of the initiation and propagation of complex fracture is central to the
discipline of engineering fracture mechanics. This review focuses on two promising …

Partial differential equations (PDEs) are used with huge success to model phenomena
across all scientific and engineering disciplines. However, across an equally wide swath …

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 paper presents an effective and accurate way to couple FEM meshes to peridynamic
grids and uses it to solve 1D, 2D and 3D problems in static and dynamic conditions. Crack …

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 …

We consider the numerical solution of nonlocal constrained value problems associated with
linear nonlocal diffusion and nonlocal peridynamic models. Two classes of discretization …

This note discusses the peridynamic horizon (the nonlocal region around a material point),
its role, and practical use in modelling. The objective is to eliminate some …

Many problems in nature, being characterized by a parameter, are of interest both with a
fixed parameter value and with the parameter approaching an asymptotic limit. Numerical …

A key challenge to nonlocal models is the analytical complexity of deriving them from first
principles, and frequently their use is justified a posteriori. In this work we extract nonlocal …