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Article: Mode I crack problems by fractal two level finite element methods

TitleMode I crack problems by fractal two level finite element methods
Authors
Issue Date1994
PublisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/engfracmech
Citation
Engineering Fracture Mechanics, 1994, v. 48 n. 6, p. 847-856 How to Cite?
AbstractA semi-analytical method is suggested to determine the stress intensity factor (SIF) of two-dimensional (2D) crack problems. In it, the singularity is eliminated from the computational domain by the fractal two level finite element method (F2LFEM). In the present method, the fractal geometry concept and two level finite element method (2LFEM) are employed to automatically generate an infinitesimal mesh and transform these large number of degrees of freedom around the crack tip to a small set of generalized coordinates. By taking advantage of the same stiffness of 2D elements with similar shape, one transformation of the stiffness for the first layer of mesh is enough for all. This simple method is very economical in terms of computational time and computer memory. Highly accurate results of SIF and stresses are obtained. © 1994.
Persistent Identifierhttp://hdl.handle.net/10722/150031
ISSN
2015 Impact Factor: 2.024
2015 SCImago Journal Rankings: 1.423

 

DC FieldValueLanguage
dc.contributor.authorLeung, AYTen_US
dc.contributor.authorSu, RKLen_US
dc.date.accessioned2012-06-26T06:01:12Z-
dc.date.available2012-06-26T06:01:12Z-
dc.date.issued1994en_US
dc.identifier.citationEngineering Fracture Mechanics, 1994, v. 48 n. 6, p. 847-856en_US
dc.identifier.issn0013-7944en_US
dc.identifier.urihttp://hdl.handle.net/10722/150031-
dc.description.abstractA semi-analytical method is suggested to determine the stress intensity factor (SIF) of two-dimensional (2D) crack problems. In it, the singularity is eliminated from the computational domain by the fractal two level finite element method (F2LFEM). In the present method, the fractal geometry concept and two level finite element method (2LFEM) are employed to automatically generate an infinitesimal mesh and transform these large number of degrees of freedom around the crack tip to a small set of generalized coordinates. By taking advantage of the same stiffness of 2D elements with similar shape, one transformation of the stiffness for the first layer of mesh is enough for all. This simple method is very economical in terms of computational time and computer memory. Highly accurate results of SIF and stresses are obtained. © 1994.en_US
dc.languageengen_US
dc.publisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/engfracmechen_US
dc.relation.ispartofEngineering Fracture Mechanicsen_US
dc.titleMode I crack problems by fractal two level finite element methodsen_US
dc.typeArticleen_US
dc.identifier.emailSu, RKL:klsu@hkucc.hku.hken_US
dc.identifier.authoritySu, RKL=rp00072en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.scopuseid_2-s2.0-0028481729en_US
dc.identifier.volume48en_US
dc.identifier.issue6en_US
dc.identifier.spage847en_US
dc.identifier.epage856en_US
dc.publisher.placeUnited Kingdomen_US
dc.identifier.scopusauthoridLeung, AYT=7403012564en_US
dc.identifier.scopusauthoridSu, RKL=7102627096en_US

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