Fracture as a pattern formation process
arXiv:1012.3945 · doi:10.1103/PhysRevE.83.046213
Abstract
A continuum model of crack propagation is presented and discussed. We obtain steady state solutions with a self-consistently selected propagation velocity and shape of the crack, provided that elastodynamic and viscoelastic effects are taken into account. Two different mechanism of crack propagation, a first order phase transition and surface diffusion are considered, and we discuss different loading modes. The arising free boundary problems are solved by phase field methods and a sharp interface approach using a multipole expansion technique.
References in corpus (9)
- Laws of crack motion and phase-field models of fracture
- Dynamic instabilities of fracture under biaxial strain using a phase field model
- The Breakdown of Linear Elastic Fracture Mechanics near the Tip of a Rapid Crack
- Weakly Nonlinear Theory of Dynamic Fracture
- Phase Field Modeling of Fracture and Stress Induced Phase Transitions
- Theory of dynamic crack branching in brittle materials
- Crack growth by surface diffusion in viscoelastic media
- Finite-time Singularities in Surface-Diffusion Instabilities are Cured by Plasticity
- Study of three-dimensional crack fronts under plane stress using a phase field model