On the crack opening and energy dissipation in a continuum based disconnected crack model
All crack models developed to date can be classified into discrete- and continuum-based approaches. While discrete models are advantageously capable of capturing the kinetics of fractures, continuum-based approaches still pique considerable interest due to their straightforward implementation within...
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| Veröffentlicht in: | Finite elements in analysis and design Jg. 170; S. 103333 |
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| Format: | Journal Article |
| Sprache: | Englisch |
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Elsevier B.V
01.03.2020
Elsevier BV |
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| ISSN: | 0168-874X, 1872-6925 |
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| Abstract | All crack models developed to date can be classified into discrete- and continuum-based approaches. While discrete models are advantageously capable of capturing the kinetics of fractures, continuum-based approaches still pique considerable interest due to their straightforward implementation within the finite element method (FEM) framework. The cracking element method (CEM), a recently developed numerical approach for simulating quasi-brittle fracturing, is based on the FEM and does not need remeshing, a nodal cover algorithm, nodal enrichment or a crack-tracking strategy. The CEM takes self-propagating disconnected cracking segments to represent crack paths and naturally captures crack initiation and propagation processes. However, as with other types of continuum-based approaches that employ discontinuous crack paths, one critical question remains: Can the crack openings can be reliably and accurately obtained? To answer this question, a detailed study on the released energy, kinetic model, and displacement between the upper and lower facets of a crack is required. Multiple tests are conducted in this paper, and the results of the CEM are compared with those of the interface element method (IEM), which explicitly describes the crack openings. For reference and comparison purposes, an a priori crack path obtained by using an equivalent crack path (cracked elements) previously obtained from the CEM is implemented for the IEM. The crack openings obtained by the CEM and IEM are subsequently compared, and the results indicate that the crack openings and dissipated energy obtained by the CEM generally agree well with those obtained by the IEM. These findings highlight the effectiveness of utilizing disconnected cracking segments and further demonstrate the robustness and reliability of the CEM.
•Cracking elements method (CEM) and interface elements method (IEM) are built and compared.•For fair comparison, crack orientations are prescribed in all numerical examples.•Force-displacement responses and evolutions of dissipate energy of CEM and IEM are agreeable.•Distributions of dissipate energy and crack openings of CE and IE are generally agreeable.•Some deviations of crack openings obtained by CEM and IEM are observed. |
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| AbstractList | All crack models developed to date can be classified into discrete- and continuum-based approaches. While discrete models are advantageously capable of capturing the kinetics of fractures, continuum-based approaches still pique considerable interest due to their straightforward implementation within the finite element method (FEM) framework. The cracking element method (CEM), a recently developed numerical approach for simulating quasi-brittle fracturing, is based on the FEM and does not need remeshing, a nodal cover algorithm, nodal enrichment or a crack-tracking strategy. The CEM takes self-propagating disconnected cracking segments to represent crack paths and naturally captures crack initiation and propagation processes. However, as with other types of continuum-based approaches that employ discontinuous crack paths, one critical question remains: Can the crack openings can be reliably and accurately obtained? To answer this question, a detailed study on the released energy, kinetic model, and displacement between the upper and lower facets of a crack is required. Multiple tests are conducted in this paper, and the results of the CEM are compared with those of the interface element method (IEM), which explicitly describes the crack openings. For reference and comparison purposes, an a priori crack path obtained by using an equivalent crack path (cracked elements) previously obtained from the CEM is implemented for the IEM. The crack openings obtained by the CEM and IEM are subsequently compared, and the results indicate that the crack openings and dissipated energy obtained by the CEM generally agree well with those obtained by the IEM. These findings highlight the effectiveness of utilizing disconnected cracking segments and further demonstrate the robustness and reliability of the CEM.
•Cracking elements method (CEM) and interface elements method (IEM) are built and compared.•For fair comparison, crack orientations are prescribed in all numerical examples.•Force-displacement responses and evolutions of dissipate energy of CEM and IEM are agreeable.•Distributions of dissipate energy and crack openings of CE and IE are generally agreeable.•Some deviations of crack openings obtained by CEM and IEM are observed. All crack models developed to date can be classified into discrete- and continuum-based approaches. While discrete models are advantageously capable of capturing the kinetics of fractures, continuum-based approaches still pique considerable interest due to their straightforward implementation within the finite element method (FEM) framework. The cracking element method (CEM), a recently developed numerical approach for simulating quasi-brittle fracturing, is based on the FEM and does not need remeshing, a nodal cover algorithm, nodal enrichment or a crack-tracking strategy. The CEM takes self-propagating disconnected cracking segments to represent crack paths and naturally captures crack initiation and propagation processes. However, as with other types of continuum-based approaches that employ discontinuous crack paths, one critical question remains: Can the crack openings can be reliably and accurately obtained? To answer this question, a detailed study on the released energy, kinetic model, and displacement between the upper and lower facets of a crack is required. Multiple tests are conducted in this paper, and the results of the CEM are compared with those of the interface element method (IEM), which explicitly describes the crack openings. For reference and comparison purposes, an a priori crack path obtained by using an equivalent crack path (cracked elements) previously obtained from the CEM is implemented for the IEM. The crack openings obtained by the CEM and IEM are subsequently compared, and the results indicate that the crack openings and dissipated energy obtained by the CEM generally agree well with those obtained by the IEM. These findings highlight the effectiveness of utilizing disconnected cracking segments and further demonstrate the robustness and reliability of the CEM. |
| ArticleNumber | 103333 |
| Author | Zhang, Yiming Gao, Zhiran Zhuang, Xiaoying Li, Yanyan |
| Author_xml | – sequence: 1 givenname: Yiming surname: Zhang fullname: Zhang, Yiming organization: School of Civil and Transportation Engineering, Hebei University of Technology, Xiping Road 5340, 300401 Tianjin, PR China – sequence: 2 givenname: Zhiran surname: Gao fullname: Gao, Zhiran organization: School of Civil and Transportation Engineering, Hebei University of Technology, Xiping Road 5340, 300401 Tianjin, PR China – sequence: 3 givenname: Yanyan surname: Li fullname: Li, Yanyan organization: School of Civil and Transportation Engineering, Hebei University of Technology, Xiping Road 5340, 300401 Tianjin, PR China – sequence: 4 givenname: Xiaoying surname: Zhuang fullname: Zhuang, Xiaoying email: xiaoying.zhuang@ikm.uni-hannover.de organization: Department of Geotechnical Engineering, Tongji University, Siping Road 1239, 200092, Shanghai, PR China |
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| Keywords | Quasi-brittle fracture Cracking elements method Zero thickness interface elements Crack opening model Disconnected crack path approach |
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| SubjectTerms | Algorithms Computer simulation Crack initiation Crack opening model Crack propagation Cracking (fracturing) Cracking elements method Disconnected crack path approach Energy dissipation Finite element method Fractures Mathematical models Nonlinear programming Quasi-brittle fracture Questions Robustness (mathematics) Segments Self propagation Zero thickness interface elements |
| Title | On the crack opening and energy dissipation in a continuum based disconnected crack model |
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