Details
| Original language | English |
|---|---|
| Pages (from-to) | 120-137 |
| Number of pages | 18 |
| Journal | Engineering Analysis with Boundary Elements |
| Volume | 133 |
| Early online date | 8 Sept 2021 |
| Publication status | Published - 1 Dec 2021 |
Abstract
In this paper, a phase field model is developed and applied to the simulation of quasi-static and dynamic fracture using the nonlocal operator method (NOM). The phase field's nonlocal weak and associated strong forms are derived by a variational principle. The NOM requires only the definition of the energy. Its differential operators replace the shape functions in methods such as FEM which drastically simplifies the implementation. We present both a nonlocal implicit phase field model and a nonlocal explicit phase field model for fracture; the first approach is better suited for quasi-static fracture problems while the key application of the latter one is dynamic fracture. To demonstrate the performance of the underlying approach, several benchmark examples for quasi-static and dynamic fracture are solved.
Keywords
- Crack propagation, Explicit time integration, Nonlocal operator method, Nonlocal operators, Operator energy functional, Phase field method
ASJC Scopus subject areas
- Mathematics(all)
- Analysis
- Engineering(all)
- Mathematics(all)
- Computational Mathematics
- Mathematics(all)
- Applied Mathematics
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
In: Engineering Analysis with Boundary Elements, Vol. 133, 01.12.2021, p. 120-137.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Quasi-static and dynamic fracture modeling by the nonlocal operator method
AU - Zhang, Yongzheng
AU - Ren, Huilong
AU - Areias, Pedro
AU - Zhuang, Xiaoying
AU - Rabczuk, Timon
N1 - Funding Information: The authors acknowledge the supports provided by China Scholarship Council and NSFC ( 11772234 ).
PY - 2021/12/1
Y1 - 2021/12/1
N2 - In this paper, a phase field model is developed and applied to the simulation of quasi-static and dynamic fracture using the nonlocal operator method (NOM). The phase field's nonlocal weak and associated strong forms are derived by a variational principle. The NOM requires only the definition of the energy. Its differential operators replace the shape functions in methods such as FEM which drastically simplifies the implementation. We present both a nonlocal implicit phase field model and a nonlocal explicit phase field model for fracture; the first approach is better suited for quasi-static fracture problems while the key application of the latter one is dynamic fracture. To demonstrate the performance of the underlying approach, several benchmark examples for quasi-static and dynamic fracture are solved.
AB - In this paper, a phase field model is developed and applied to the simulation of quasi-static and dynamic fracture using the nonlocal operator method (NOM). The phase field's nonlocal weak and associated strong forms are derived by a variational principle. The NOM requires only the definition of the energy. Its differential operators replace the shape functions in methods such as FEM which drastically simplifies the implementation. We present both a nonlocal implicit phase field model and a nonlocal explicit phase field model for fracture; the first approach is better suited for quasi-static fracture problems while the key application of the latter one is dynamic fracture. To demonstrate the performance of the underlying approach, several benchmark examples for quasi-static and dynamic fracture are solved.
KW - Crack propagation
KW - Explicit time integration
KW - Nonlocal operator method
KW - Nonlocal operators
KW - Operator energy functional
KW - Phase field method
UR - http://www.scopus.com/inward/record.url?scp=85114386436&partnerID=8YFLogxK
U2 - 10.1016/j.enganabound.2021.08.020
DO - 10.1016/j.enganabound.2021.08.020
M3 - Article
AN - SCOPUS:85114386436
VL - 133
SP - 120
EP - 137
JO - Engineering Analysis with Boundary Elements
JF - Engineering Analysis with Boundary Elements
SN - 0955-7997
ER -