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

Funda Aksu Denli, Osman Gültekin, Gerhard Holzapfel, Hüsnü Dal*

*Korrespondierende/r Autor/in für diese Arbeit

Publikation: Beitrag in einer FachzeitschriftArtikel


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.

Seiten (von - bis)1149-1166
FachzeitschriftComputational Mechanics
PublikationsstatusVeröffentlicht - 1 Apr 2020

ASJC Scopus subject areas

  • !!Computational Mathematics
  • !!Mechanical Engineering
  • !!Ocean Engineering
  • Angewandte Mathematik
  • !!Computational Mechanics
  • !!Computational Theory and Mathematics

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