Abstract
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.
Originalsprache | englisch |
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Seiten (von - bis) | 1149-1166 |
Seitenumfang | 18 |
Fachzeitschrift | Computational Mechanics |
Jahrgang | 65 |
Ausgabenummer | 4 |
DOIs | |
Publikationsstatus | Veröffentlicht - 1 Apr. 2020 |
ASJC Scopus subject areas
- Computational Mathematics
- Maschinenbau
- Meerestechnik
- Angewandte Mathematik
- Numerische Mechanik
- Theoretische Informatik und Mathematik