Journal
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
Volume 332, Issue -, Pages 234-254Publisher
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2017.12.021
Keywords
Fracture resistance; Topology optimization; BESO; Phase field method; Crack propagation
Funding
- National Natural Science Foundation of China [51705165, 51790171, 5171101743]
- ANR [ANR-11-LABX-022-01]
- Institut Universitaire de France (IUF)
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In this paper, we propose a numerical framework for optimizing the fracture resistance of quasi-brittle composites through a modification of the topology of the inclusion phase. The phase field method to fracturing is adopted within a regularized description of discontinuities, allowing to take into account cracking in regular meshes, which is highly advantageous for topology optimization purpose. Extended bi-directional evolutionary structural optimization (BESO) method is employed and formulated to find the optimal distribution of inclusion phase, given a target volume fraction of inclusion and seeking a maximal fracture resistance. A computationally efficient adjoint sensitivity formulation is derived to account for the whole fracturing process, involving crack initiation, propagation and complete failure of the specimen. The effectiveness of developed framework is illustrated through a series of 2D and 3D benchmark tests. (C) 2017 Elsevier B.V. All rights reserved.
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