Details
| Original language | English |
|---|---|
| Pages (from-to) | 417-428 |
| Number of pages | 12 |
| Journal | Frontiers of Structural and Civil Engineering |
| Volume | 13 |
| Issue number | 2 |
| Early online date | 23 Jul 2018 |
| Publication status | Published - Apr 2019 |
Abstract
This paper provides a comprehensive overview of a phase-field model of fracture in solid mechanics setting. We start reviewing the potential energy governing the whole process of fracture including crack initiation, branching or merging. Then, a discretization of system of equation is derived, in which the key aspect is that for the correctness of fracture phenomena, a split into tensile and compressive terms of the strain energy is performed, which allows crack to occur in tension, not in compression. For numerical analysis, standard finite element shape functions are used for both primary fields including displacements and phase field. A staggered scheme which solves the two fields of the problem separately is utilized for solution step and illustrated with a segment of Python code.
Keywords
- FEM, fracture, phase-field modeling, staggered scheme
ASJC Scopus subject areas
- Engineering(all)
- Civil and Structural Engineering
- Engineering(all)
- Architecture
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In: Frontiers of Structural and Civil Engineering, Vol. 13, No. 2, 04.2019, p. 417-428.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Implementation aspects of a phase-field approach for brittle fracture
AU - Huynh, G. D.
AU - Zhuang, Xiaoying
AU - Nguyen-Xuan, Hung
N1 - © 2018, Higher Education Press and Springer-Verlag GmbH Germany, part of Springer Nature
PY - 2019/4
Y1 - 2019/4
N2 - This paper provides a comprehensive overview of a phase-field model of fracture in solid mechanics setting. We start reviewing the potential energy governing the whole process of fracture including crack initiation, branching or merging. Then, a discretization of system of equation is derived, in which the key aspect is that for the correctness of fracture phenomena, a split into tensile and compressive terms of the strain energy is performed, which allows crack to occur in tension, not in compression. For numerical analysis, standard finite element shape functions are used for both primary fields including displacements and phase field. A staggered scheme which solves the two fields of the problem separately is utilized for solution step and illustrated with a segment of Python code.
AB - This paper provides a comprehensive overview of a phase-field model of fracture in solid mechanics setting. We start reviewing the potential energy governing the whole process of fracture including crack initiation, branching or merging. Then, a discretization of system of equation is derived, in which the key aspect is that for the correctness of fracture phenomena, a split into tensile and compressive terms of the strain energy is performed, which allows crack to occur in tension, not in compression. For numerical analysis, standard finite element shape functions are used for both primary fields including displacements and phase field. A staggered scheme which solves the two fields of the problem separately is utilized for solution step and illustrated with a segment of Python code.
KW - FEM
KW - fracture
KW - phase-field modeling
KW - staggered scheme
UR - http://www.scopus.com/inward/record.url?scp=85050541484&partnerID=8YFLogxK
U2 - 10.1007/s11709-018-0477-3
DO - 10.1007/s11709-018-0477-3
M3 - Article
AN - SCOPUS:85050541484
VL - 13
SP - 417
EP - 428
JO - Frontiers of Structural and Civil Engineering
JF - Frontiers of Structural and Civil Engineering
SN - 2095-2430
IS - 2
ER -