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Article: The extended finite element method with new crack-tip enrichment functions for an interface crack between two dissimilar piezoelectric materials

TitleThe extended finite element method with new crack-tip enrichment functions for an interface crack between two dissimilar piezoelectric materials
Authors
Issue Date2015
PublisherJohn Wiley & Sons Ltd. The Journal's web site is located at http://www3.interscience.wiley.com/cgi-bin/jhome/1430
Citation
International Journal for Numerical Methods in Engineering, 2015, v. 103 n. 2, p. 94-113 How to Cite?
AbstractThis paper studies the static fracture problems of an interface crack in linear piezoelectric bimaterial by means of the extended finite element method (X-FEM) with new crack-tip enrichment functions. In the X-FEM, crack modeling is facilitated by adding a discontinuous function and crack-tip asymptotic functions to the classical finite element approximation within the framework of the partition of unity. In this work, the coupled effects of an elastic field and an electric field in piezoelectricity are considered. Corresponding to the two classes of singularities of the aforementioned interface crack problem, namely, E class and class, two classes of crack-tip enrichment functions are newly derived, and the former that exhibits oscillating feature at the crack tip is numerically investigated. Computation of the fracture parameter, i.e., the J-integral, using the domain form of the contour integral, is presented. Excellent accuracy of the proposed formulation is demonstrated on benchmark interface crack problems through comparisons with analytical solutions and numerical results obtained by the classical FEM. Moreover, it is shown that the geometrical enrichment combining the mesh with local refinement is substantially better in terms of accuracy and efficiency.
Persistent Identifierhttp://hdl.handle.net/10722/229136
ISSN
2015 Impact Factor: 2.1
2015 SCImago Journal Rankings: 2.007

 

DC FieldValueLanguage
dc.contributor.authorMa, P-
dc.contributor.authorSu, RKL-
dc.contributor.authorFeng, WJ-
dc.contributor.authorLi, YS-
dc.date.accessioned2016-08-23T14:09:13Z-
dc.date.available2016-08-23T14:09:13Z-
dc.date.issued2015-
dc.identifier.citationInternational Journal for Numerical Methods in Engineering, 2015, v. 103 n. 2, p. 94-113-
dc.identifier.issn0029-5981-
dc.identifier.urihttp://hdl.handle.net/10722/229136-
dc.description.abstractThis paper studies the static fracture problems of an interface crack in linear piezoelectric bimaterial by means of the extended finite element method (X-FEM) with new crack-tip enrichment functions. In the X-FEM, crack modeling is facilitated by adding a discontinuous function and crack-tip asymptotic functions to the classical finite element approximation within the framework of the partition of unity. In this work, the coupled effects of an elastic field and an electric field in piezoelectricity are considered. Corresponding to the two classes of singularities of the aforementioned interface crack problem, namely, E class and class, two classes of crack-tip enrichment functions are newly derived, and the former that exhibits oscillating feature at the crack tip is numerically investigated. Computation of the fracture parameter, i.e., the J-integral, using the domain form of the contour integral, is presented. Excellent accuracy of the proposed formulation is demonstrated on benchmark interface crack problems through comparisons with analytical solutions and numerical results obtained by the classical FEM. Moreover, it is shown that the geometrical enrichment combining the mesh with local refinement is substantially better in terms of accuracy and efficiency.-
dc.languageeng-
dc.publisherJohn Wiley & Sons Ltd. The Journal's web site is located at http://www3.interscience.wiley.com/cgi-bin/jhome/1430-
dc.relation.ispartofInternational Journal for Numerical Methods in Engineering-
dc.rightsInternational Journal for Numerical Methods in Engineering. Copyright © John Wiley & Sons Ltd.-
dc.rightsThis is the peer reviewed version of the following article: International Journal for Numerical Methods in Engineering, 2015, v. 103 n. 2, p. 94-113, which has been published in final form at DOI: 10.1002/nme.4881. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving.-
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.titleThe extended finite element method with new crack-tip enrichment functions for an interface crack between two dissimilar piezoelectric materials-
dc.typeArticle-
dc.identifier.emailSu, RKL: klsu@hkucc.hku.hk-
dc.identifier.authoritySu, RKL=rp00072-
dc.description.naturepostprint-
dc.identifier.doi10.1002/nme.4881-
dc.identifier.hkuros260503-
dc.identifier.volume103-
dc.identifier.issue2-
dc.identifier.spage94-
dc.identifier.epage113-
dc.publisher.placeUnited Kingdom-

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