Reference : Accurate fracture modelling using meshless methods, the visibility criterion and leve...

	Document type :	Scientific journals : Article
	Discipline(s) :	Engineering, computing & technology : Multidisciplinary, general & others
	Focus Areas :	Computational Sciences
	To cite this reference:	http://hdl.handle.net/10993/34883

Title :	Accurate fracture modelling using meshless methods, the visibility criterion and level sets: Formulation and 2D modelling
Language :	English
Author, co-author :	Zhuang, Xiaoying [School of Engineering and Computing Sciences, Durham University, South Road, Durham, DH1 3LE, United Kingdom]
	Augarde, Charles [School of Engineering and Computing Sciences, Durham University, South Road, Durham, DH1 3LE, United Kingdom, Civil Engineering, United Kingdom]
	Bordas, Stéphane [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >]
Publication date :	2011
Journal title :	International Journal for Numerical Methods in Engineering
Volume :	86
Issue/season :	2
Pages :	249-268
Peer reviewed :	Yes (verified by ORBilu)
Audience :	International
ISSN :	00295981
Keywords :	[en] Crack tip closure ; EFG ; Fracture ; Level sets ; Meshless ; Tying procedure ; Visibility criterion ; Computational mechanics ; Crack closure ; Crack tips ; Diffraction ; Diffractometers ; Finite element method ; Galerkin methods ; Three dimensional ; Visibility ; Numerical methods
Abstract :	[en] Fracture modelling using numerical methods is well-advanced in 2D using techniques such as the extended finite element method (XFEM). The use of meshless methods for these problems lags somewhat behind, but the potential benefits of no meshing (particularly in 3D) prompt continued research into their development. In methods where the crack face is not explicitly modelled (as the edge of an element for instance), two procedures are instead used to associate the displacement jump with the crack surface: the visibility criterion and the diffraction method. The visibility criterion is simple to implement and efficient to compute, especially with the help of level set coordinates. However, spurious discontinuities have been reported around crack tips using the visibility criterion, whereas implementing the diffraction method in 3D is much more complicated than the visibility criterion. In this paper, a tying procedure is proposed to remove the difficulty with the visibility criterion so that crack tip closure can be ensured while the advantages of the visibility criterion can be preserved. The formulation is based on the use of level set coordinates and the element-free Galerkin method, and is generally applicable for single or multiple crack problems in 2D or 3D. The paper explains the formulation and provides verification of the method against a number of 2D crack problems.
Funders :	Dorothy Hodgkin Postgraduate Award from the U.K. EPSRC.
Target :	Researchers ; Professionals ; Students ; General public ; Others
Permalink :	http://hdl.handle.net/10993/34883
DOI :	10.1002/nme.3063

	File(s) associated to this reference
	Fulltext file(s): File Commentary Version Size Access Limited access Accurate fracture modelling using meshless methods.pdf Publisher postprint 300.5 kB Request a copy

All documents in ORBi^lu are protected by a user license.

 

University of Luxembourg Library |  Feedback |  Legal notices Site Map