Crack propagation as a free boundary problem

Abstract

A newly developed sharp interface model describes crack propagation by a phase transition process. We solve this free boundary problem numerically and obtain steady state solutions with a self-consistently selected propagation velocity and shape of the crack, provided that elastodynamic effects are taken into account. Also, we find a saturation of the steady state crack velocity below the Rayleigh speed, tip blunting with increasing driving force and a tip splitting instability above a critical driving force.

References in corpus (2)

• Dynamic instabilities of fracture under biaxial strain using a phase field model
• Phase Field Modeling of Fast Crack Propagation

Cited by in corpus (10)

• Phase field modeling of crack propagation
• The Dynamics of Rapid Fracture: Instabilities, Nonlinearities and Length Scales
• Dynamics of Simple Cracks
• Phase Field Modeling of Fracture and Stress Induced Phase Transitions
• Study of the branching instability using a phase field model of inplane crack propagation
• Universality and stability phase-diagram of two-dimensional brittle fracture
• A model for hierarchical patterns under mechanical stresses
• Fracture as a pattern formation process
• Crack growth by surface diffusion in viscoelastic media
• Study of three-dimensional crack fronts under plane stress using a phase field model