A Phase Field Approach to Two-Dimensional Quasicrystals with Mixed Mode Cracks
Quasicrystals (QCs) are representatives of a novel kind of material exhibiting a large number of remarkable specific properties. However, QCs are usually brittle, and crack propagation inevitably occurs in such materials. Therefore, it is of great significance to study the crack growth behaviors in...
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| Format: | Article |
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MDPI AG
2023-05-01
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| Series: | Materials |
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| Online Access: | https://www.mdpi.com/1996-1944/16/10/3628 |
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| author | Tong Li Zhenting Yang Chenghui Xu Xinsheng Xu Zhenhuan Zhou |
| author_facet | Tong Li Zhenting Yang Chenghui Xu Xinsheng Xu Zhenhuan Zhou |
| author_sort | Tong Li |
| collection | DOAJ |
| description | Quasicrystals (QCs) are representatives of a novel kind of material exhibiting a large number of remarkable specific properties. However, QCs are usually brittle, and crack propagation inevitably occurs in such materials. Therefore, it is of great significance to study the crack growth behaviors in QCs. In this work, the crack propagation of two-dimensional (2D) decagonal QCs is investigated by a fracture phase field method. In this method, a phase field variable is introduced to evaluate the damage of QCs near the crack. Thus, the crack topology is described by the phase field variable and its gradient. In this manner, it is unnecessary to track the crack tip, and therefore remeshing is avoided during the crack propagation. In the numerical examples, the crack propagation paths of 2D QCs are simulated by the proposed method, and the effects of the phason field on the crack growth behaviors of QCs are studied in detail. Furthermore, the interaction of the double cracks in QCs is also discussed. |
| first_indexed | 2024-03-11T03:33:12Z |
| format | Article |
| id | doaj.art-3c168cee108e4d9fb8a3f1dda9f84707 |
| institution | Directory Open Access Journal |
| issn | 1996-1944 |
| language | English |
| last_indexed | 2024-03-11T03:33:12Z |
| publishDate | 2023-05-01 |
| publisher | MDPI AG |
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| series | Materials |
| spelling | doaj.art-3c168cee108e4d9fb8a3f1dda9f847072023-11-18T02:13:42ZengMDPI AGMaterials1996-19442023-05-011610362810.3390/ma16103628A Phase Field Approach to Two-Dimensional Quasicrystals with Mixed Mode CracksTong Li0Zhenting Yang1Chenghui Xu2Xinsheng Xu3Zhenhuan Zhou4State Key Laboratory of Structural Analysis, Optimization and CAE Software for Industrial Equipment, Department of Engineering Mechanics, International Center for Computational Mechanics, Dalian University of Technology, Dalian 116024, ChinaState Key Laboratory of Structural Analysis, Optimization and CAE Software for Industrial Equipment, Department of Engineering Mechanics, International Center for Computational Mechanics, Dalian University of Technology, Dalian 116024, ChinaSchool of Mechanics, Civil Engineering and Architecture, Northwestern Polytechnical University, Xi’an 710072, ChinaState Key Laboratory of Structural Analysis, Optimization and CAE Software for Industrial Equipment, Department of Engineering Mechanics, International Center for Computational Mechanics, Dalian University of Technology, Dalian 116024, ChinaState Key Laboratory of Structural Analysis, Optimization and CAE Software for Industrial Equipment, Department of Engineering Mechanics, International Center for Computational Mechanics, Dalian University of Technology, Dalian 116024, ChinaQuasicrystals (QCs) are representatives of a novel kind of material exhibiting a large number of remarkable specific properties. However, QCs are usually brittle, and crack propagation inevitably occurs in such materials. Therefore, it is of great significance to study the crack growth behaviors in QCs. In this work, the crack propagation of two-dimensional (2D) decagonal QCs is investigated by a fracture phase field method. In this method, a phase field variable is introduced to evaluate the damage of QCs near the crack. Thus, the crack topology is described by the phase field variable and its gradient. In this manner, it is unnecessary to track the crack tip, and therefore remeshing is avoided during the crack propagation. In the numerical examples, the crack propagation paths of 2D QCs are simulated by the proposed method, and the effects of the phason field on the crack growth behaviors of QCs are studied in detail. Furthermore, the interaction of the double cracks in QCs is also discussed.https://www.mdpi.com/1996-1944/16/10/3628phase field modeldecagonal quasicrystalcrack propagationbrittle fracturemixed mode crackfinite element method |
| spellingShingle | Tong Li Zhenting Yang Chenghui Xu Xinsheng Xu Zhenhuan Zhou A Phase Field Approach to Two-Dimensional Quasicrystals with Mixed Mode Cracks Materials phase field model decagonal quasicrystal crack propagation brittle fracture mixed mode crack finite element method |
| title | A Phase Field Approach to Two-Dimensional Quasicrystals with Mixed Mode Cracks |
| title_full | A Phase Field Approach to Two-Dimensional Quasicrystals with Mixed Mode Cracks |
| title_fullStr | A Phase Field Approach to Two-Dimensional Quasicrystals with Mixed Mode Cracks |
| title_full_unstemmed | A Phase Field Approach to Two-Dimensional Quasicrystals with Mixed Mode Cracks |
| title_short | A Phase Field Approach to Two-Dimensional Quasicrystals with Mixed Mode Cracks |
| title_sort | phase field approach to two dimensional quasicrystals with mixed mode cracks |
| topic | phase field model decagonal quasicrystal crack propagation brittle fracture mixed mode crack finite element method |
| url | https://www.mdpi.com/1996-1944/16/10/3628 |
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