A phase-field model for fracture of unidirectional fiber-reinforced polymer matrix composites

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

Collections

Department of Mechanical Engineering, Article