A phase-field model for fatigue crack growth. (November 2019)

• Record Type: Journal Article
• Authors: Lo, Yu-Sheng; Borden, Michael J.; Ravi-Chandar, K.; Landis, Chad M.
• Is Part Of: Journal of the mechanics and physics of solids. Volume 132(2019)
• Publication Date: 2019-11
• Subjects: Phase-field -- Fatigue -- Paris law; Mechanics, Applied -- Periodicals; Solids -- Periodicals; Mechanics -- Periodicals; Mécanique appliquée -- Périodiques; Solides -- Périodiques; Mechanics, Applied; Solids; Periodicals; 531.05
• DOI: 10.1016/j.jmps.2019.103684
• Languages: English
• ISSNs: 0022-5096

Abstract

Abstract: A phase-field model is presented for the study of fatigue crack growth. A crack growth viscosity parameter is introduced into the standard phase-field model for brittle fracture to account for rate- or cycle-dependent crack growth phenomena. A modified J -integral is developed to demonstrate how the phase-field approach can be used to generate Paris-law type crack growth rates. In order to model more general crack growth versus applied loading behaviors that are not a single simple Paris-law, steady-state finite element calculations are performed to calibrate fits of the phase-field model to measured crack growth rates found in da/dN versus Δ K curves. Transient time- or cycle-dependent calculations are performed and compared to experimental measurements on samples where crack turning is induced by the presence of a hole in the vicinity of the crack. A three-dimensional example with turning of the crack front is also computed illustrating the capabilities of the phase-field approach for complex crack paths.