Details
| Original language | English |
|---|---|
| Pages (from-to) | 1621–1634 |
| Number of pages | 14 |
| Journal | Computational mechanics |
| Volume | 76 |
| Issue number | 6 |
| Early online date | 15 Jul 2025 |
| Publication status | Published - Dec 2025 |
Abstract
This work presents a stabilization-free virtual element method (VEM) for phase field fracture. The distinctive feature of the virtual element method is its ability to utilize elements of general shape. However, the existence of additional stabilization term in the traditional virtual element method has some drawbacks when solving complex phase field fracture models. Different from the conventional virtual element method, the approach employed in this work eliminates the need for additional stabilization terms, making it more suitable for the phase field modeling of fracture. In this work, the anisotropic phase field fracture model is considered. In order to improve the calculation efficiency, the non-matching mesh ability of VEM and adaptive technique are employed. Since the virtual element method is automatically applicable to elements with general shape, it is easy to handle an arbitrary number of nodes and thus also hanging nodes resulting from the non-matching meshes used to adapt the meshes. Several representative benchmarks show the accuracy and efficiency of the proposed method.
Keywords
- Adaptive technique, Non-matching mesh, Stabilization free, Virtual element method
ASJC Scopus subject areas
- Engineering(all)
- Computational Mechanics
- Engineering(all)
- Ocean Engineering
- Engineering(all)
- Mechanical Engineering
- Computer Science(all)
- Computational Theory and Mathematics
- Mathematics(all)
- Computational Mathematics
- Mathematics(all)
- Applied Mathematics
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In: Computational mechanics, Vol. 76, No. 6, 12.2025, p. 1621–1634.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Virtual element method with non-matching and adaptive meshes for phase field fracture
AU - Xu, Bing Bing
AU - Peng, Fan
AU - Junker, Philipp
AU - Wriggers, Peter
N1 - Publisher Copyright: © The Author(s) 2025.
PY - 2025/12
Y1 - 2025/12
N2 - This work presents a stabilization-free virtual element method (VEM) for phase field fracture. The distinctive feature of the virtual element method is its ability to utilize elements of general shape. However, the existence of additional stabilization term in the traditional virtual element method has some drawbacks when solving complex phase field fracture models. Different from the conventional virtual element method, the approach employed in this work eliminates the need for additional stabilization terms, making it more suitable for the phase field modeling of fracture. In this work, the anisotropic phase field fracture model is considered. In order to improve the calculation efficiency, the non-matching mesh ability of VEM and adaptive technique are employed. Since the virtual element method is automatically applicable to elements with general shape, it is easy to handle an arbitrary number of nodes and thus also hanging nodes resulting from the non-matching meshes used to adapt the meshes. Several representative benchmarks show the accuracy and efficiency of the proposed method.
AB - This work presents a stabilization-free virtual element method (VEM) for phase field fracture. The distinctive feature of the virtual element method is its ability to utilize elements of general shape. However, the existence of additional stabilization term in the traditional virtual element method has some drawbacks when solving complex phase field fracture models. Different from the conventional virtual element method, the approach employed in this work eliminates the need for additional stabilization terms, making it more suitable for the phase field modeling of fracture. In this work, the anisotropic phase field fracture model is considered. In order to improve the calculation efficiency, the non-matching mesh ability of VEM and adaptive technique are employed. Since the virtual element method is automatically applicable to elements with general shape, it is easy to handle an arbitrary number of nodes and thus also hanging nodes resulting from the non-matching meshes used to adapt the meshes. Several representative benchmarks show the accuracy and efficiency of the proposed method.
KW - Adaptive technique
KW - Non-matching mesh
KW - Stabilization free
KW - Virtual element method
UR - http://www.scopus.com/inward/record.url?scp=105010740472&partnerID=8YFLogxK
U2 - 10.1007/s00466-025-02665-7
DO - 10.1007/s00466-025-02665-7
M3 - Article
AN - SCOPUS:105010740472
VL - 76
SP - 1621
EP - 1634
JO - Computational mechanics
JF - Computational mechanics
SN - 0178-7675
IS - 6
ER -