Implementation aspects of a phase-field approach for brittle fracture

authored by: G. D. Huynh, Xiaoying Zhuang, Hung Nguyen-Xuan
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.
Organisation(s): Institute of Continuum Mechanics
External Organisation(s): Ho Chi Minh City University of Technology (HUTECH)
Type: Article
Journal: Frontiers of Structural and Civil Engineering
Volume: 13
Pages: 417-428
No. of pages: 12
ISSN: 2095-2430
Publication date: 04.2019
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Civil and Structural Engineering, Architecture
Electronic version(s): https://doi.org/10.1007/s11709-018-0477-3 (Access: Closed)
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