Phase-field modeling of anisotropic brittle fracture including several damage mechanisms. The present paper aims at modeling complex fracture phenomena where different damaging mechanisms are involved. For this purpose, the standard one-variable phase-field/gradient damage model, able to regularize Griffith’s isotropic brittle fracture problem, is extended to describe different degradation mechanisms through several distinct damage variables. Associating with each damage variable a different dissipated fracture energy, the coupling between all mechanisms is achieved through the degradation of the elastic stiffness. The framework is very general and can be tailored to many situations where different fracture mechanisms are present as well as to model anisotropic fracture phenomena. In this first work, after a general presentation of the model, the attention is focused on a specific paradigmatic case, namely the brittle fracture problem of a 2D homogeneous orthotropic medium with two different damaging mechanisms with respect to the two orthogonal directions. Illustrative numerical applications consider propagation in mode I and II as well as kinking of cracks as a result of a transition between the two fracture mechanisms. It is shown that the proposed model and numerical implementation compares well with theoretical and experimental results, allowing to reproduce specific features of crack propagation in anisotropic materials whereas standard models using one damage variable seem unable to do so.

References in zbMATH (referenced in 13 articles , 1 standard article )

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  1. Fei, Fan; Choo, Jinhyun: Double-phase-field formulation for mixed-mode fracture in rocks (2021)
  2. Li, Pengfei; Yvonnet, Julien; Combescure, Christelle; Makich, Hamid; Nouari, Mohammed: Anisotropic elastoplastic phase field fracture modeling of 3D printed materials (2021)
  3. Suh, Hyoung Suk; Sun, WaiChing: Asynchronous phase field fracture model for porous media with thermally non-equilibrated constituents (2021)
  4. Yang, Liang; Yang, Yongtao; Zheng, Hong; Wu, Zhijun: An explicit representation of cracks in the variational phase field method for brittle fractures (2021)
  5. Ma, Ran; Sun, WaiChing: FFT-based solver for higher-order and multi-phase-field fracture models applied to strongly anisotropic brittle materials (2020)
  6. Noii, Nima; Aldakheel, Fadi; Wick, Thomas; Wriggers, Peter: An adaptive global-local approach for phase-field modeling of anisotropic brittle fracture (2020)
  7. Quintanas-Corominas, A.; Turon, A.; Reinoso, J.; Casoni, E.; Paggi, M.; Mayugo, J. A.: A phase field approach enhanced with a cohesive zone model for modeling delamination induced by matrix cracking (2020)
  8. Bilgen, Carola; Weinberg, Kerstin: On the crack-driving force of phase-field models in linearized and finite elasticity (2019)
  9. Chen, Yang; Vasiukov, Dmytro; Gélébart, Lionel; Park, Chung Hae: A FFT solver for variational phase-field modeling of brittle fracture (2019)
  10. Gerasimov, T.; De Lorenzis, L.: On penalization in variational phase-field models of brittle fracture (2019)
  11. Jiang, Hao; Jiang, Fan; Hu, Dianyin; Wang, Rongqiao; Lu, Jian; Li, Bo: Numerical modeling of compressive failure mechanisms in ceramic materials at high strain rates (2019)
  12. Li, Bin; Maurini, Corrado: Crack kinking in a variational phase-field model of brittle fracture with strongly anisotropic surface energy (2019)
  13. Bleyer, Jeremy; Alessi, Roberto: Phase-field modeling of anisotropic brittle fracture including several damage mechanisms (2018)