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Article: Two-level finite element method for plane cracks

TitleTwo-level finite element method for plane cracks
Authors
Issue Date1989
Citation
Communications In Applied Numerical Methods, 1989, v. 5 n. 4, p. 263-274 How to Cite?
AbstractA new method to evaluate the stress intensity factors for plates of arbitary shape by conventional finite elements is introduced. The problems of the large number of unknowns and the round-off errors associated with fine meshes are eliminated by means of global interpolation functions. These global interpolation functions are actually the analytical solutions of the displacement patterns near the crack tips. While the analytical solutions do not satisfy the boundary conditions in general, the present method considers the boundary conditions by master nodes. Very few unknowns can predict accurate results and no unconventional finite elements are required. The stress intensity factors can be calculated from the nodal displacements of the super-element in one go. Plates with single and double notch edges and centre crack are taken as examples. The method can be generalized to other crack problems without difficulty.
Persistent Identifierhttp://hdl.handle.net/10722/149920
ISSN

 

DC FieldValueLanguage
dc.contributor.authorLeung, AYTen_US
dc.contributor.authorWong, SCen_US
dc.date.accessioned2012-06-26T06:00:34Z-
dc.date.available2012-06-26T06:00:34Z-
dc.date.issued1989en_US
dc.identifier.citationCommunications In Applied Numerical Methods, 1989, v. 5 n. 4, p. 263-274en_US
dc.identifier.issn0748-8025en_US
dc.identifier.urihttp://hdl.handle.net/10722/149920-
dc.description.abstractA new method to evaluate the stress intensity factors for plates of arbitary shape by conventional finite elements is introduced. The problems of the large number of unknowns and the round-off errors associated with fine meshes are eliminated by means of global interpolation functions. These global interpolation functions are actually the analytical solutions of the displacement patterns near the crack tips. While the analytical solutions do not satisfy the boundary conditions in general, the present method considers the boundary conditions by master nodes. Very few unknowns can predict accurate results and no unconventional finite elements are required. The stress intensity factors can be calculated from the nodal displacements of the super-element in one go. Plates with single and double notch edges and centre crack are taken as examples. The method can be generalized to other crack problems without difficulty.en_US
dc.languageengen_US
dc.relation.ispartofCommunications in Applied Numerical Methodsen_US
dc.titleTwo-level finite element method for plane cracksen_US
dc.typeArticleen_US
dc.identifier.emailWong, SC:hhecwsc@hku.hken_US
dc.identifier.authorityWong, SC=rp00191en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.scopuseid_2-s2.0-0024663427en_US
dc.identifier.volume5en_US
dc.identifier.issue4en_US
dc.identifier.spage263en_US
dc.identifier.epage274en_US
dc.identifier.scopusauthoridLeung, AYT=7403012564en_US
dc.identifier.scopusauthoridWong, SC=24323361400en_US

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