Phase field cohesive zone modeling for fatigue crack propagation in quasi-brittle materials

Baktheer, Abedulgader; Martínez-Pañeda, Emilio; Aldakheel, Fadi

doi:10.1016/j.cma.2024.116834

Cited by 18 publications

(2 citation statements)

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“…During compression or unloading, the irreversibility condition is required to ensure a monotonically increasing phase field variable. Consequently, a strain-history field H(x, t) [20,27], defined as shown below, was introduced:…”

Section: Governing Equationsmentioning

confidence: 99%

“…The non-local damage models applied to Griffith's theory are based on the variational formulation developed by Francfort and Marigo [17,18] and implemented by Bourdin et al [19]. Complex fracture processes in two-and three-dimensional [20] solids, such as crack initiation, propagation, and branching, can be processed automatically without any additional ad hoc strategies.…”

Section: Introductionmentioning

confidence: 99%

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Quasi-Static and Dynamic Crack Propagation by Phase Field Modeling: Comparison with Previous Results and Experimental Validation

Kriaa,

Hersi,

Ammar

et al. 2024

Applied Sciences

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In this paper, experimental tensile tests for pre-cracked high Carbon steel ‘C90’ specimens were performed for quasi-static and dynamic loading. High loading velocity affects the crack patterns by preventing deflection. On the other hand, an efficient numerical tool based on the phase field model was developed and validated to predict brittle fracture trajectories. A staggered numerical scheme was adopted to solve the displacement and damage fields separately. Implementation efficiency in initiating and propagating cracks, even from an undamaged microstructure, was proved. The effect of the critical fracture energy density Gc on the crack path was tested; with smaller Gc, the crack patterns become more complex. In addition, the impact of loading velocities was examined, and earlier and faster crack formation and greater crack branching is observed with higher impact velocity. In this study, bidimensional plane stress cases were treated. The phase field model with hybrid formulation was able to predict crack pattern and especially crack arrest and branching found in the literature. The developed model accurately determined the transition zone of the crack path topology that has been observed experimentally.

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Section: Governing Equationsmentioning

confidence: 99%