A new fracture criterion for peridynamic and dual-horizon peridynamics

A new fracture criterion based on the crack opening displacement for peridynamic (PD) and dual-horizon peridynamics (DH-PD) is proposed. When the relative deformation of the PD bond between the particles reaches the critical crack tip opening displacement of the fracture mechanics, we assume that th...

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Bibliographic Details
Published in:Frontiers of Structural and Civil Engineering 2018-12, Vol.12 (4), p.629-641
Main Authors: ZHAO, Jinhai, TANG, Hesheng, XUE, Songtao
Format: Article
Language:English
Subjects:
breaking energy
Castigliano's theorem
Cities
Civil Engineering
COD
Computer applications
Computer simulation
Countries
Crack opening displacement
Crack tips
Criteria
critical extension
Deformation
Engineering
Fracture mechanics
Horizon
PD-COD
Regions
Research Article
XFEM
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Summary:A new fracture criterion based on the crack opening displacement for peridynamic (PD) and dual-horizon peridynamics (DH-PD) is proposed. When the relative deformation of the PD bond between the particles reaches the critical crack tip opening displacement of the fracture mechanics, we assume that the bond force vanishes. A new damage rule similar to the local damage rule in conventional PD is introduced to simulate fracture. The new formulation is developed for a linear elastic solid though the extension to nonlinear materials is straightforward. The performance of the new fracture criterion is demonstrated by four examples, i.e. a bilateral crack problem, double parallel crack, monoclinic crack and the double inclined crack. The results are compared to experimental data and the results obtained by other computational methods.
ISSN:2095-2430
2095-2449
DOI:10.1007/s11709-017-0447-1