Peridynamic modeling for crack propagation analysis of materials

Won-Jun Chung, Erkan Oterkus, Jae-Myung Lee

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In this paper, the computer simulations are carried out by using the peridynamic theory model with various conditions including quasi-static loads, dynamic loads and crack propagation, branching crack pattern and isotropic materials, orthotropic materials. Three examples, a plate with a hole under quasi-static loading, a plate with a pre-existing crack under dynamic loading and a lamina with a pre-existing crack under quasi-static loading are analyzed by computational simulations. In order to simulate the quasi-static load, an adaptive dynamic relaxation technique is used. In the orthotropic material analysis, a homogenization method is used considering the strain energy density ratio between the classical continuum mechanics and the peridynamic. As a result, crack propagation and branching cracks are observed successfully and the direction and initiation of the crack are also captured within the peridynamic modeling. In case of applying peridynamic used homogenization method to a relatively complicated orthotropic material, it is also verified by comparing with experimental results
Original languageMultiple languages
Pages (from-to)105-114
Number of pages9
JournalJournal of the Computational Structural Engineering Institute of Korea
Issue number2
Publication statusPublished - 30 Apr 2018


  • peridynamic
  • fracture mechanics
  • non-local theory
  • homogenization

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