Phase-Field Modeling Fracture in Anisotropic Materials
The phase-field method is a widely used technique to simulate crack initiation, propagation, and coalescence without the need to trace the fracture surface. In the phase-field theory, the energy to create a fracture surface per unit area is equal to the critical energy release rate. Therefore, the p...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Advances in Civil Engineering |
| Online Access: | http://dx.doi.org/10.1155/2021/4313755 |
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| author | Haifeng Li Wei Wang Yajun Cao Shifan Liu |
| author_facet | Haifeng Li Wei Wang Yajun Cao Shifan Liu |
| author_sort | Haifeng Li |
| collection | DOAJ |
| description | The phase-field method is a widely used technique to simulate crack initiation, propagation, and coalescence without the need to trace the fracture surface. In the phase-field theory, the energy to create a fracture surface per unit area is equal to the critical energy release rate. Therefore, the precise definition of the crack-driving part is the key to simulate crack propagation. In this work, we propose a modified phase-field model to capture the complex crack propagation, in which the elastic strain energy is decomposed into volumetric-deviatoric energy parts. Because of the volumetric-deviatoric energy split, we introduce a novel form of the crack-driving energy to simulate mixed-mode fracture. Furthermore, a new degradation function is proposed to simulate crack processes in brittle materials with different degradation rates. The proposed model is implemented by a staggered algorithm and to validate the performance of the phase-field modelling, and several numerical examples are constructed under plane strain condition. All the presented examples demonstrate the capability of the proposed approach in solving problems of brittle fracture propagation. |
| format | Article |
| id | doaj-art-0cf10992330f4b50bbbbc68f18ce53b5 |
| institution | Kabale University |
| issn | 1687-8086 1687-8094 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Civil Engineering |
| spelling | doaj-art-0cf10992330f4b50bbbbc68f18ce53b52025-08-20T03:54:15ZengWileyAdvances in Civil Engineering1687-80861687-80942021-01-01202110.1155/2021/43137554313755Phase-Field Modeling Fracture in Anisotropic MaterialsHaifeng Li0Wei Wang1Yajun Cao2Shifan Liu3Geotechnical Research Institute, Hohai University, Nanjing, Jiangsu 210098, ChinaGeotechnical Research Institute, Hohai University, Nanjing, Jiangsu 210098, ChinaGeotechnical Research Institute, Hohai University, Nanjing, Jiangsu 210098, ChinaGeotechnical Research Institute, Hohai University, Nanjing, Jiangsu 210098, ChinaThe phase-field method is a widely used technique to simulate crack initiation, propagation, and coalescence without the need to trace the fracture surface. In the phase-field theory, the energy to create a fracture surface per unit area is equal to the critical energy release rate. Therefore, the precise definition of the crack-driving part is the key to simulate crack propagation. In this work, we propose a modified phase-field model to capture the complex crack propagation, in which the elastic strain energy is decomposed into volumetric-deviatoric energy parts. Because of the volumetric-deviatoric energy split, we introduce a novel form of the crack-driving energy to simulate mixed-mode fracture. Furthermore, a new degradation function is proposed to simulate crack processes in brittle materials with different degradation rates. The proposed model is implemented by a staggered algorithm and to validate the performance of the phase-field modelling, and several numerical examples are constructed under plane strain condition. All the presented examples demonstrate the capability of the proposed approach in solving problems of brittle fracture propagation.http://dx.doi.org/10.1155/2021/4313755 |
| spellingShingle | Haifeng Li Wei Wang Yajun Cao Shifan Liu Phase-Field Modeling Fracture in Anisotropic Materials Advances in Civil Engineering |
| title | Phase-Field Modeling Fracture in Anisotropic Materials |
| title_full | Phase-Field Modeling Fracture in Anisotropic Materials |
| title_fullStr | Phase-Field Modeling Fracture in Anisotropic Materials |
| title_full_unstemmed | Phase-Field Modeling Fracture in Anisotropic Materials |
| title_short | Phase-Field Modeling Fracture in Anisotropic Materials |
| title_sort | phase field modeling fracture in anisotropic materials |
| url | http://dx.doi.org/10.1155/2021/4313755 |
| work_keys_str_mv | AT haifengli phasefieldmodelingfractureinanisotropicmaterials AT weiwang phasefieldmodelingfractureinanisotropicmaterials AT yajuncao phasefieldmodelingfractureinanisotropicmaterials AT shifanliu phasefieldmodelingfractureinanisotropicmaterials |