Details
| Original language | English |
|---|---|
| Pages (from-to) | 45-56 |
| Number of pages | 12 |
| Journal | Computers and Structures |
| Volume | 217 |
| Early online date | 28 Mar 2019 |
| Publication status | Published - Jun 2019 |
Abstract
In this paper, we propose an explicit phase field model for dynamic brittle fracture. The mechanical field is integrated with a Verlet-velocity scheme, while the phase field is incremented with sub-steps at each step. The sub-stepping is adaptive based on the phase field residual and fast convergence is obtained in a few sub-steps. The numerical difficulty in convergence and the calculation of anisotropic stiffness tensor in the implicit phase field model are avoided in the explicit scheme. The explicit phase field model uses the phase field modulus, rather than the conventional phase field viscosity. The proposed scheme can achieve the same result by the implicit dynamic scheme phase field model. Several numerical examples are presented to validate the explicit method.
Keywords
- Explicit dynamics, Sub-step, Tetrahedron element
ASJC Scopus subject areas
- Engineering(all)
- Civil and Structural Engineering
- Mathematics(all)
- Modelling and Simulation
- Materials Science(all)
- General Materials Science
- Engineering(all)
- Mechanical Engineering
- Computer Science(all)
- Computer Science Applications
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In: Computers and Structures, Vol. 217, 06.2019, p. 45-56.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - An explicit phase field method for brittle dynamic fracture
AU - Ren, Huilong
AU - Zhuang, Xiaoying
AU - Anitescu, C.
AU - Rabczuk, Timon
N1 - Funding Information: The authors acknowledge the supports from the COMBAT Program (Computational Modeling and Design of Lithium-ion Batteries, Grant No. 615132), the National Basic Research Program of China (973 Program: 2011CB013800) and NSFC (51474157), the Ministry of Science and Technology of China (Grant Nos. SLDRCE14-B-28, SLDRCE14-B-31).
PY - 2019/6
Y1 - 2019/6
N2 - In this paper, we propose an explicit phase field model for dynamic brittle fracture. The mechanical field is integrated with a Verlet-velocity scheme, while the phase field is incremented with sub-steps at each step. The sub-stepping is adaptive based on the phase field residual and fast convergence is obtained in a few sub-steps. The numerical difficulty in convergence and the calculation of anisotropic stiffness tensor in the implicit phase field model are avoided in the explicit scheme. The explicit phase field model uses the phase field modulus, rather than the conventional phase field viscosity. The proposed scheme can achieve the same result by the implicit dynamic scheme phase field model. Several numerical examples are presented to validate the explicit method.
AB - In this paper, we propose an explicit phase field model for dynamic brittle fracture. The mechanical field is integrated with a Verlet-velocity scheme, while the phase field is incremented with sub-steps at each step. The sub-stepping is adaptive based on the phase field residual and fast convergence is obtained in a few sub-steps. The numerical difficulty in convergence and the calculation of anisotropic stiffness tensor in the implicit phase field model are avoided in the explicit scheme. The explicit phase field model uses the phase field modulus, rather than the conventional phase field viscosity. The proposed scheme can achieve the same result by the implicit dynamic scheme phase field model. Several numerical examples are presented to validate the explicit method.
KW - Explicit dynamics
KW - Sub-step
KW - Tetrahedron element
UR - http://www.scopus.com/inward/record.url?scp=85063453440&partnerID=8YFLogxK
U2 - 10.1016/j.compstruc.2019.03.005
DO - 10.1016/j.compstruc.2019.03.005
M3 - Article
AN - SCOPUS:85063453440
VL - 217
SP - 45
EP - 56
JO - Computers and Structures
JF - Computers and Structures
SN - 0045-7949
ER -