Frontiers of Structural and Civil Engineering
>> 2019,
Volume 13,
Issue 2
doi:
10.1007/s11709-018-0477-3
RESEARCH ARTICLE
Implementation aspects of a phase-field approach for brittle fracture
1. Institute of Continuum Mechanics, Leibniz-Universität Hannover, 30167 Hannover, Germany
2. Center for Interdisciplinary Research in Technology, Ho Chi Minh City, University of Technology (HUTEH), Ho Chi Minh City, Vietnam |
Accepted: 2018-05-28
Available online: 2019-03-12
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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.
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