International Journal of Fracture

, Volume 176, Issue 2, pp 215–222

The Meaning, Selection, and Use of the Peridynamic Horizon and its Relation to Crack Branching in Brittle Materials

Letters in Fracture and Micromechanics

DOI: 10.1007/s10704-012-9725-z

Cite this article as:
Bobaru, F. & Hu, W. Int J Fract (2012) 176: 215. doi:10.1007/s10704-012-9725-z


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 misunderstandings and misconceptions regarding the peridynamic horizon. An example of crack branching in a nominally brittle material (homalite) is addressed and we show that crack branching takes place without wave interaction. We explain under what conditions the crack propagation speed depends on the horizon size and the role of incident stress waves on this speed.


peridynamicsnonlocal modelscontinuum mechanicsdynamic fracturecrack branchingbrittle fracture

Copyright information

© Springer Science+Business Media B.V. 2012

Authors and Affiliations

  1. 1.Department of Mechanical and Materials EngineeringUniveristy of Nebraska-LincolnLincoln, NebraskaUSA