Variational phase-field fracture with controlled nucleation. (February 2023)

• Record Type: Journal Article
• Authors: Larsen, Christopher J.
• Is Part Of: Mechanics research communications. Volume 128(2023)
• Publication Date: 2023-02
• Subjects: Variational fracture -- Phase-field models -- Crack nucleation; Mechanics, Applied -- Periodicals; Mécanique appliquée -- Périodiques; Mechanics, Applied; Periodicals; 530
• DOI: 10.1016/j.mechrescom.2023.104059
• Languages: English
• ISSNs: 0093-6413

Abstract

Abstract: We briefly review the Γ -convergence of phase-field fracture to Griffith fracture, and describe how softening and nucleation occur when implementing phase-field models. An example is given of how this softening and nucleation can be completely stopped, while preserving crack growth and Γ -convergence. We then show how nucleation can locally be turned back on, based on any criterion, such as a stress threshold. Again, these modifications preserve Γ -convergence, and they can be applied to static, quasi-static, and dynamic models. Additionally, we describe why these modifications can be expected to improve the convergence of phase-field models. Highlights: We review Γ -convergence of phase-field fracture to Griffith fracture. Modifications are introduced which preserve Γ -convergence and prevent nucleation. The modifications preserve growth of existing cracks. We show how nucleation can locally be turned back on.