Relations between Peridynamic and Classical Cohesive Models

Scot M. Breitenfeld, Philippe H. Geubelle, Olaf Weckner, Stewart A. Silling

Research output: Chapter in Book/Report/Conference proceedingChapter


Barrenblatt [1] to address the issue of the singularity of the crack tip field, CZM places ahead of the crack a nonlinear region governed by a cohesive failure law between the tractions resisting crack opening and the resulting displacement jump across the fracture surface. The approach regained a lot of attention two decades ago with the development of the cohesive finite element method, which incorporates the cohesive failure law in the constitutive response of interfacial (cohesive) elements placed between conventional (volumetric) finite elements [9, 16, 2, 4]. The cohesive finite element method has achieved remarkable success in the simulation of spontaneous crack propagation when the crack path is known a priori, such as in the failure of interfaces [15, 14, 8]. However, when the numerical method is used to model arbitrary crack growth, care must be exercised to address lattice dependency effects [12, 10, 17]. Nevertheless, CZM continues to be a valuable analysis tool in the study of fracture.

Original languageEnglish (US)
Title of host publicationHandbook of Peridynamic Modeling
PublisherCRC Press
Number of pages22
ISBN (Electronic)9781482230444
ISBN (Print)9781482230437
StatePublished - Jan 1 2016

ASJC Scopus subject areas

  • General Engineering


Dive into the research topics of 'Relations between Peridynamic and Classical Cohesive Models'. Together they form a unique fingerprint.

Cite this