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A phase-field model for fracture of unidirectional fiber-reinforced polymer matrix composites
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10.1007s00466-019-01812-1.pdf.pdf
Date
2020-04-01
Author
Denli, Funda Aksu
Gultekin, Osman
Holzapfel, Gerhard A.
Dal, Hüsnü
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This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
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This study presents a crack phase-field approach for anisotropic continua to model, in particular, fracture of fiber-reinforced matrix composites. Starting with the variational formulation of the multi-field problem of fracture in terms of the deformation and the crack phase fields, the governing equations feature the evolution of the anisotropic crack phase-field and the balance of linear momentum, presented for finite and small strains. A recently proposed energy-based anisotropic failure criterion is incorporated into the model with a constitutive threshold function regulating the crack initiation in regard to the matrix and the fibers in a superposed framework. Representative numerical examples are shown for the crack initiation and propagation in unidirectional fiber-reinforced polymer composites under Mode-I, Mode-II and mixed-mode bending. Model parameters are obtained by fitting to sets of experimental data. The associated finite element results are able to capture anisotropic crack initiation and growth in unidirectional fiber-reinforced composite laminates.
Subject Keywords
Mechanical Engineering
,
Computational Theory and Mathematics
,
Applied Mathematics
,
Ocean Engineering
,
Computational Mathematics
URI
https://hdl.handle.net/11511/36623
Journal
COMPUTATIONAL MECHANICS
DOI
https://doi.org/10.1007/s00466-019-01812-1
Collections
Department of Mechanical Engineering, Article