Modelling crack growth by level sets in the extended finite element method
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- 17 April 2001
- journal article
- research article
- Published by Wiley in International Journal for Numerical Methods in Engineering
- Vol. 51 (8) , 943-960
- https://doi.org/10.1002/nme.201
Abstract
An algorithm which couples the level set method (LSM) with the extended finite element method (X‐FEM) to model crack growth is described. The level set method is used to represent the crack location, including the location of crack tips. The extended finite element method is used to compute the stress and displacement fields necessary for determining the rate of crack growth. This combined method requires no remeshing as the crack progresses, making the algorithm very efficient. The combination of these methods has a tremendous potential for a wide range of applications. Numerical examples are presented to demonstrate the accuracy of the combined methods. Copyright © 2001 John Wiley & Sons, Ltd.Keywords
This publication has 12 references indexed in Scilit:
- Modeling holes and inclusions by level sets in the extended finite-element methodComputer Methods in Applied Mechanics and Engineering, 2001
- A generalized finite element method for the simulation of three-dimensional dynamic crack propagationComputer Methods in Applied Mechanics and Engineering, 2001
- Spiral crystal growthPhysica D: Nonlinear Phenomena, 2000
- Elastic crack growth in finite elements with minimal remeshingInternational Journal for Numerical Methods in Engineering, 1999
- MODELLING STRONG DISCONTINUITIES IN SOLID MECHANICS VIA STRAIN SOFTENING CONSTITUTIVE EQUATIONS. PART 2: NUMERICAL SIMULATIONInternational Journal for Numerical Methods in Engineering, 1996
- Continuum modelling of strong discontinuities in solid mechanics using damage modelsComputational Mechanics, 1995
- Element‐free Galerkin methodsInternational Journal for Numerical Methods in Engineering, 1994
- Computing Minimal Surfaces via Level Set Curvature FlowJournal of Computational Physics, 1993
- Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulationsJournal of Computational Physics, 1988
- Crack tip and associated domain integrals from momentum and energy balanceEngineering Fracture Mechanics, 1987