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

Denli, Funda Aksu
Gultekin, Osman
Holzapfel, Gerhard A.
Dal, Hüsnü
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.

Citation Formats
F. A. Denli, O. Gultekin, G. A. Holzapfel, and H. Dal, “A phase-field model for fracture of unidirectional fiber-reinforced polymer matrix composites,” COMPUTATIONAL MECHANICS, vol. 65, no. 4, pp. 1149–1166, 2020, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/36623.