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Article: Numerical solutions of two-dimensional anisotropic crack problems
Title | Numerical solutions of two-dimensional anisotropic crack problems |
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Authors | |
Keywords | Anisotropic Crack Eigenfunction expansion Fractal Global interpolation Higher order terms Stress intensity factor Two-level |
Issue Date | 2003 |
Publisher | Pergamon. The Journal's web site is located at http://www.elsevier.com/locate/ijsolstr |
Citation | International Journal Of Solids And Structures, 2003, v. 40 n. 18, p. 4615-4635 How to Cite? |
Abstract | A complete set of series form solutions of stress and displacement functions, including all higher order terms, around the crack tip for anisotropic crack problems have been newly derived by eigenfunction expansion approach. The analytical solutions of displacement functions were classified into four cases with respect to different types of complex parameters and different corresponding physical meanings. By employing these displacement functions as global interpolation functions, fractal two-level finite element method (F2LFEM) was applied to evaluate the stress intensity factors (SIFs) for various kinds of anisotropic crack problems. In the method of F2LFEM, the infinite number of nodal displacements was transformed to a small set of generalized coordinates by fractal transformation technique. New element matrices need not be generated and the singular numerical integration was avoided completely. Numerical examples of the four cases were studied and high accurate results of SIFs were obtained. © 2003 Elsevier Ltd. All rights reserved. |
Persistent Identifier | http://hdl.handle.net/10722/48542 |
ISSN | 2023 Impact Factor: 3.4 2023 SCImago Journal Rankings: 0.988 |
ISI Accession Number ID | |
References | |
Grants |
DC Field | Value | Language |
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dc.contributor.author | Su, RKL | en_HK |
dc.contributor.author | Sun, HY | en_HK |
dc.date.accessioned | 2008-05-22T04:16:41Z | - |
dc.date.available | 2008-05-22T04:16:41Z | - |
dc.date.issued | 2003 | en_HK |
dc.identifier.citation | International Journal Of Solids And Structures, 2003, v. 40 n. 18, p. 4615-4635 | en_HK |
dc.identifier.issn | 0020-7683 | en_HK |
dc.identifier.uri | http://hdl.handle.net/10722/48542 | - |
dc.description.abstract | A complete set of series form solutions of stress and displacement functions, including all higher order terms, around the crack tip for anisotropic crack problems have been newly derived by eigenfunction expansion approach. The analytical solutions of displacement functions were classified into four cases with respect to different types of complex parameters and different corresponding physical meanings. By employing these displacement functions as global interpolation functions, fractal two-level finite element method (F2LFEM) was applied to evaluate the stress intensity factors (SIFs) for various kinds of anisotropic crack problems. In the method of F2LFEM, the infinite number of nodal displacements was transformed to a small set of generalized coordinates by fractal transformation technique. New element matrices need not be generated and the singular numerical integration was avoided completely. Numerical examples of the four cases were studied and high accurate results of SIFs were obtained. © 2003 Elsevier Ltd. All rights reserved. | en_HK |
dc.format.extent | 534413 bytes | - |
dc.format.extent | 40905 bytes | - |
dc.format.mimetype | application/pdf | - |
dc.format.mimetype | application/pdf | - |
dc.language | eng | en_HK |
dc.publisher | Pergamon. The Journal's web site is located at http://www.elsevier.com/locate/ijsolstr | en_HK |
dc.relation.ispartof | International Journal of Solids and Structures | en_HK |
dc.rights | This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License. | - |
dc.subject | Anisotropic | en_HK |
dc.subject | Crack | en_HK |
dc.subject | Eigenfunction expansion | en_HK |
dc.subject | Fractal | en_HK |
dc.subject | Global interpolation | en_HK |
dc.subject | Higher order terms | en_HK |
dc.subject | Stress intensity factor | en_HK |
dc.subject | Two-level | en_HK |
dc.title | Numerical solutions of two-dimensional anisotropic crack problems | en_HK |
dc.type | Article | en_HK |
dc.identifier.openurl | http://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0020-7683&volume=40&issue=18&spage=4615&epage=4635&date=2003&atitle=Numerical+solutions+of+two-dimensional+anisotropic+crack+problems | en_HK |
dc.identifier.email | Su, RKL:klsu@hkucc.hku.hk | en_HK |
dc.identifier.authority | Su, RKL=rp00072 | en_HK |
dc.description.nature | postprint | en_HK |
dc.identifier.doi | 10.1016/S0020-7683(03)00310-X | en_HK |
dc.identifier.scopus | eid_2-s2.0-0041302525 | en_HK |
dc.identifier.hkuros | 92875 | - |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-0041302525&selection=ref&src=s&origin=recordpage | en_HK |
dc.identifier.volume | 40 | en_HK |
dc.identifier.issue | 18 | en_HK |
dc.identifier.spage | 4615 | en_HK |
dc.identifier.epage | 4635 | en_HK |
dc.identifier.isi | WOS:000184259600001 | - |
dc.publisher.place | United Kingdom | en_HK |
dc.relation.project | Interaction of multiple branched cracks | - |
dc.identifier.scopusauthorid | Su, RKL=7102627096 | en_HK |
dc.identifier.scopusauthorid | Sun, HY=10144742900 | en_HK |
dc.identifier.issnl | 0020-7683 | - |