Dynamic crack propagation based on loss of hyperbolicity and a new discontinuous enrichment
Top Cited Papers
- 9 October 2003
- journal article
- research article
- Published by Wiley in International Journal for Numerical Methods in Engineering
- Vol. 58 (12) , 1873-1905
- https://doi.org/10.1002/nme.941
Abstract
A methodology is developed for switching from a continuum to a discrete discontinuity where the governing partial differential equation loses hyperbolicity. The approach is limited to rate‐independent materials, so that the transition occurs on a set of measure zero. The discrete discontinuity is treated by the extended finite element method (XFEM) whereby arbitrary discontinuities can be incorporated in the model without remeshing. Loss of hyperbolicity is tracked by a hyperbolicity indicator that enables both the crack speed and crack direction to be determined for a given material model. A new method was developed for the case when the discontinuity ends within an element; it facilitates the modelling of crack tips that occur within an element in a dynamic setting. The method is applied to several dynamic crack growth problems including the branching of cracks. Copyright © 2003 John Wiley & Sons, Ltd.Keywords
This publication has 36 references indexed in Scilit:
- Time continuity in cohesive finite element modelingInternational Journal for Numerical Methods in Engineering, 2003
- New crack‐tip elements for XFEM and applications to cohesive cracksInternational Journal for Numerical Methods in Engineering, 2003
- A cohesive segments method for the simulation of crack growthComputational Mechanics, 2003
- On the strong discontinuity approach in finite deformation settingsInternational Journal for Numerical Methods in Engineering, 2003
- Elastic crack growth in finite elements with minimal remeshingInternational Journal for Numerical Methods in Engineering, 1999
- DYNAMIC FRACTURE USING ELEMENT-FREE GALERKIN METHODSInternational Journal for Numerical Methods in Engineering, 1996
- Finite elements with displacement interpolated embedded localization lines insensitive to mesh size and distortionsInternational Journal for Numerical Methods in Engineering, 1990
- Fracture Initiation Due to Asymmetric Impact Loading of an Edge Cracked PlateJournal of Applied Mechanics, 1990
- Implicit-Explicit Finite Elements in Transient Analysis: Implementation and Numerical ExamplesJournal of Applied Mechanics, 1978
- Crack propagation in an elastic solid subjected to general loading—III. Stress wave loadingJournal of the Mechanics and Physics of Solids, 1973