Three-dimensional fracture propagation with numerical manifold method
By introducing the concept of mathematical cover and physical cover, the numerical manifold method (NMM) is able to solve continuous and discontinuous problems in a unified way. In this paper, the NMM is developed to analyze three dimensional (3D) fracture propagation. The maximum tensile stress cri...
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| Published in | Engineering analysis with boundary elements Vol. 72; pp. 65 - 77 |
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| Main Authors | , , , , |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Ltd
01.11.2016
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| Subjects | |
| Online Access | Get full text |
| ISSN | 0955-7997 1873-197X |
| DOI | 10.1016/j.enganabound.2016.08.008 |
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| Abstract | By introducing the concept of mathematical cover and physical cover, the numerical manifold method (NMM) is able to solve continuous and discontinuous problems in a unified way. In this paper, the NMM is developed to analyze three dimensional (3D) fracture propagation. The maximum tensile stress criterion is implemented to determine whether the fracture will propagate and the direction of fracture propagation. Three benchmark problems are analyzed to validate the present algorithm and program. The numerical results replicate available experimental results and existing numerical results. The present algorithm and 3D NMM code are promising for 3D fracture propagation. They deserve to be further developed for the analysis of rock mechanic problems in which the initiation and propagation of multiple fractures, tensile and shear fractures, and fracture propagation under compressive loading are taken into account. |
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| AbstractList | By introducing the concept of mathematical cover and physical cover, the numerical manifold method (NMM) is able to solve continuous and discontinuous problems in a unified way. In this paper, the NMM is developed to analyze three dimensional (3D) fracture propagation. The maximum tensile stress criterion is implemented to determine whether the fracture will propagate and the direction of fracture propagation. Three benchmark problems are analyzed to validate the present algorithm and program. The numerical results replicate available experimental results and existing numerical results. The present algorithm and 3D NMM code are promising for 3D fracture propagation. They deserve to be further developed for the analysis of rock mechanic problems in which the initiation and propagation of multiple fractures, tensile and shear fractures, and fracture propagation under compressive loading are taken into account. |
| Author | Tang, Xuhai He, Lei Yang, Yongtao Liu, Quansheng Zheng, Hong |
| Author_xml | – sequence: 1 givenname: Yongtao surname: Yang fullname: Yang, Yongtao organization: State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan, China – sequence: 2 givenname: Xuhai surname: Tang fullname: Tang, Xuhai email: xuhaitac@163.com organization: School of Civil Engineering, Wuhan University, Wuhan, China – sequence: 3 givenname: Hong surname: Zheng fullname: Zheng, Hong organization: Key Laboratory of Urban Security and Disaster Engineering, Ministry of Education, Beijing University of Technology, Beijing 100124, China – sequence: 4 givenname: Quansheng surname: Liu fullname: Liu, Quansheng organization: School of Civil Engineering, Wuhan University, Wuhan, China – sequence: 5 givenname: Lei surname: He fullname: He, Lei organization: School of Civil Engineering, Monash University, Australia |
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| Snippet | By introducing the concept of mathematical cover and physical cover, the numerical manifold method (NMM) is able to solve continuous and discontinuous problems... |
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| SubjectTerms | Algorithms Crack initiation Crack propagation Fracture mechanics Fracture propagation Manifolds (mathematics) Mathematical analysis Mathematical models Maximum tensile stress criterion Numerical manifold method (NMM) Tensile stress Three dimensional simulation |
| Title | Three-dimensional fracture propagation with numerical manifold method |
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