Study of the branching instability using a phase field model of inplane crack propagation

Abstract

In this study, the phase field model of crack propagation is used to study the dynamic branching instability in the case of inplane loading in two dimensions. Simulation results are in good agreement with theoretical predictions and experimental findings. Namely, the critical speed at which the instability starts is about $0.48c_s$. They also show that a full 3D approach is needed to fully understand the branching instability. The finite interface effects are found to be neglectable in the large system size limit even though they are stronger than the one expected from a simple one dimensional calculation.

References in corpus (11)

• Phase-Field Model of Mode III Dynamic Fracture
• Continuum field description of crack propagation
• Dynamic instabilities of fracture under biaxial strain using a phase field model
• Unsteady Crack Motion and Branching in a Phase-Field Model of Brittle Fracture
• Crack Path Prediction in Anisotropic Brittle Materials
• Fracture in Mode I using a Conserved Phase-Field Model
• Phase Field Modeling of Fast Crack Propagation
• Theory of dynamic crack branching in brittle materials
• Branching Instabilities in Rapid Fracture: Dynamics and Geometry
• Fast crack propagation by surface diffusion
• Crack propagation as a free boundary problem

Cited by in corpus (21)

• Laws of crack motion and phase-field models of fracture
• Phase field modeling of crack propagation
• The Dynamics of Rapid Fracture: Instabilities, Nonlinearities and Length Scales
• Instability in dynamic fracture and the failure of the classical theory of cracks
• Dynamics of Simple Cracks
• Brittle/quasi-brittle transition in dynamic fracture: An energetic signature
• Crack Front Segmentation and Facet Coarsening in Mixed-Mode Fracture
• Thermal fracture as a framework for quasi-static crack propagation
• Fractographic aspects of crack branching instability using a phase field model
• An intrinsic nonlinear scale governs oscillations in rapid fracture
• Damage mechanisms in the dynamic fracture of nominally brittle polymers
• Universality and stability phase-diagram of two-dimensional brittle fracture
• Dynamic stability of crack fronts: Out-of-plane corrugations
• A model for hierarchical patterns under mechanical stresses
• Three-Dimensional Percolation Modeling of Self-Healing Composites
• Limitations of the modelling of crack propagating through heterogeneous material using a phase field approach
• Propagating mode-I fracture in amorphous materials using the continuous random network (CRN) model
• Crack front instabilities under mixed mode loading in three dimensions
• Micro-branching in mode-I fracture in a randomly perturbed lattice
• The dynamics of crack front waves in 3D material failure
• Study of three-dimensional crack fronts under plane stress using a phase field model