An explicit phase field method for brittle dynamic fracture

authored by: Huilong Ren, Xiaoying Zhuang, C. Anitescu, Timon Rabczuk
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.
Organisation(s): Institute of Continuum Mechanics
External Organisation(s): Bauhaus-Universität Weimar
Tongji University
Ton Duc Thang University
Type: Article
Journal: Computers and Structures
Volume: 217
Pages: 45-56
No. of pages: 12
ISSN: 0045-7949
Publication date: 06.2019
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Civil and Structural Engineering, Modelling and Simulation, General Materials Science, Mechanical Engineering, Computer Science Applications
Electronic version(s): https://doi.org/10.1016/j.compstruc.2019.03.005 (Access: Closed)
: Details in the research portal "Research@Leibniz University"

BibTeX

@article{88cbcefae63c433f850bf081cdc7686f,
title = "An explicit phase field method for brittle dynamic fracture",
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",
author = "Huilong Ren and Xiaoying Zhuang and C. Anitescu and Timon Rabczuk",
note = "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).",
year = "2019",
month = jun,
doi = "10.1016/j.compstruc.2019.03.005",
language = "English",
volume = "217",
pages = "45--56",
journal = "Computers and Structures",
issn = "0045-7949",
publisher = "Elsevier Ltd.",
}