Brittle Fracture Modeling Using Ordinary State-Based Peridynamics with Continuous Bond-Breakage Damage

PurposeIn the paper an approach for crack nucleation and propagation phenomena in brittle plate structures is presented.Design/methodology/approachThe Francfort–Marigo damage theory is adapted to the Kirchhoff and Reissner–Mindlin plate bending models. Then, the topological derivative method is used to minimize the associated Francfort–Marigo shape functional. In particular, the whole damaging process is governed by a threshold approach based on the topological derivative field, leading to a notable simple algorithm.FindingsNumerical simulations are driven in order to verify the applicability of the proposed method in the context of brittle fracture modeling on plates. The obtained results reveal the capability of the method to determine nucleation and propagation including bifurcation of multiple cracks with a minimal number of user-defined algorithmic parameters.Originality/valueThis is the first work concerning brittle fracture modeling of plate structures based on the topological derivative method.

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Quasi-Brittle Fracture Modeling of Preflawed Bitumen Using a Diffuse Interface Model

Advances in Materials Science and Engineering ◽

10.1155/2016/8751646 ◽

2016 ◽

Vol 2016 ◽

pp. 1-7 ◽

Cited By ~ 18

Author(s):

Yue Hou ◽

Fengyan Sun ◽

Wenjuan Sun ◽

Meng Guo ◽

Chao Xing ◽

...

Keyword(s):

Brittle Fracture ◽

Phase Field ◽

Field Method ◽

Field Variable ◽

Diffuse Interface ◽

Phase Field Method ◽

Interface Model ◽

Diffuse Interface Model ◽

Bituminous Materials ◽

Fracture Modeling

Fundamental understandings on the bitumen fracture mechanism are vital to improve the mixture design of asphalt concrete. In this paper, a diffuse interface model, namely, phase-field method is used for modeling the quasi-brittle fracture in bitumen. This method describes the microstructure using a phase-field variable which assumes one in the intact solid and negative one in the crack region. Only the elastic energy will directly contribute to cracking. To account for the growth of cracks, a nonconserved Allen-Cahn equation is adopted to evolve the phase-field variable. Numerical simulations of fracture are performed in bituminous materials with the consideration of quasi-brittle properties. It is found that the simulation results agree well with classic fracture mechanics.

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Introducing Heterogeneity into Brittle Fracture Modeling of a 22NiMoCr37 Ferritic Steel Ring Forging

Seventh International ASTM∕ESIS Symposium on Fatigue and Fracture Mechanics (36th ASTM National Symposium on Fatigue and Fracture Mechanics) ◽

10.1520/stp48784s ◽

2010 ◽

pp. 518-518-22

Author(s):

Xinglong Zhao ◽

David Lidbury ◽

João Quinta da Fonseca ◽

Andrew Sherry

Keyword(s):

Brittle Fracture ◽

Ferritic Steel ◽

Fracture Modeling

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Introducing Heterogeneity into Brittle Fracture Modeling of a 22NiMoCr37 Ferritic Steel Ring Forging

Journal of ASTM International ◽

10.1520/jai101562 ◽

2008 ◽

Vol 5 (4) ◽

pp. 101562

Author(s):

Xinglong Zhao ◽

David Lidbury ◽

João Quinta da Fonseca ◽

Andrew Sherry ◽

R. Neu ◽

...

Keyword(s):

Brittle Fracture ◽

Ferritic Steel ◽

Fracture Modeling

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A SIMPLIFIED MESHLESS METHODS FOR BRITTLE FRACTURE OF CONCRETE

International Journal of Computational Methods ◽

10.1142/s0219876213500072 ◽

2013 ◽

Vol 10 (03) ◽

pp. 1350007 ◽

Cited By ~ 1

Author(s):

N. SAGARESAN

Keyword(s):

Brittle Fracture ◽

Cohesive Zone ◽

Cohesive Zone Model ◽

Bulk Material ◽

Meshless Methods ◽

Nonlinear Material ◽

Zone Model ◽

Discrete Crack ◽

Fracture Modeling ◽

Consistent Linearization

A simplified meshless methods for brittle fracture and nonlinear material is presented. In this method, the crack is modeled by a set of discrete crack segments crossing the entire domain of influence of the meshless shape functions. The key advantage of this method is its simplicity since no representation of the crack topology is needed. A nonlocal stress tensor around the crack tip is used as fracture criterion. A neo-Hooke material in the bulk material is used and a cohesive zone model is employed once discrete cracks occur. We also present consistent linearization of the cohesive zone model. The method is applied to fracture modeling in concrete that is accompanied by excessive cracking and therefore methods that represent the crack path have major drawbacks. We demonstrate the accuracy of the proposed method for complex problems involving mode-I and mixed mode failure.

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