A 3-D conjugated bond-pair-based peridynamic formulation for initiation and propagation of cracks in brittle solids

In this paper, a novel 3D conjugated bond-pair-based peridynamic model is proposed to simulate the initiation and propagation of cracks in brittle solids. In the proposed numerical method, interacting forces between two material points within one horizon are not only related to the stretch of the bo...

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Published inInternational journal of solids and structures Vol. 134; pp. 89 - 115
Main Authors Wang, Yunteng, Zhou, Xiaoping, Wang, Yuan, Shou, Yundong
Format Journal Article
LanguageEnglish
Published New York Elsevier Ltd 01.03.2018
Elsevier BV
Subjects
3-D conjugated bond-pair-based peridynamics
3-D technology
Brittle solids
Computer simulation
Crack initiation
Crack initiation and propagation
Crack propagation
Cracks
Energy-based criteria
Flux density
Fracture mechanics
Mathematical models
Numerical methods
Poisson's ratio
Propagation
Rotation of the conjugated bond angle
Shearing
Solids
Stretch of bond
Studies
Three dimensional models
Time integration
Rotation of the conjugated bond angle
Energy-based criteria
Crack initiation and propagation
Brittle solids
Stretch of bond
3-D conjugated bond-pair-based peridynamics
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Summary:In this paper, a novel 3D conjugated bond-pair-based peridynamic model is proposed to simulate the initiation and propagation of cracks in brittle solids. In the proposed numerical method, interacting forces between two material points within one horizon are not only related to the stretch of the bond, but also related to the rotation of the conjugated bond angles, which overcomes the limitation of the fixed Poisson's ratio in the regular bond-based peridynamics. Moreover, the critical stretch of a bond and critical bond shear energy density are respectively used to determine the Mode I (opening) fracture type and Mode II/III (in-plane shearing/tearing) fracture type of bonds. Modified explicit time integration schemes are also proposed to study dynamic and quasi-static/static problems. The performance of the proposed numerical method is demonstrated by three numerical examples that qualitatively and quantitatively illustrate its ability to predict complex crack surfaces in three-dimensional cases.
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content type line 14
ISSN:0020-7683
1879-2146
DOI:10.1016/j.ijsolstr.2017.10.022