A new fracture criterion for peridynamic and dual-horizon peridynamics

Abstract

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.

Keywords

Castigliano’s theorem / breaking energy / critical extension / XFEM / COD / PD-COD

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Acknowledgements

This study was supported by the Ministry of Science and Technology of China (Grant No. SLDRCE14-B-03) and Natural Science Foundation of Shanghai (Grant No. 17ZR1431900).

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2017 Higher Education Press and Springer-Verlag Berlin Heidelberg