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Article: A mathematical model for describing the mechanical behaviour of root canal instruments

TitleA mathematical model for describing the mechanical behaviour of root canal instruments
Authors
KeywordsBending
Finite-element analysis
Mechanical property
Nickel-titanium
Root canal instrument
Torsion
Issue Date2011
PublisherBlackwell Publishing Ltd. The Journal's web site is located at http://www.blackwellpublishing.com/journals/IEJ
Citation
International Endodontic Journal, 2011, v. 44 n. 1, p. 72-76 How to Cite?
AbstractZhang EW, Cheung GSP, Zheng YF. A mathematical model for describing the mechanical behaviour of root canal instruments. International Endodontic Journal, 44, 72-76, 2011.Aim The purpose of this study was to establish a general mathematical model for describing the mechanical behaviour of root canal instruments by combining a theoretical analytical approach with a numerical finite-element method.Method Mathematical formulas representing the longitudinal (taper, helical angle and pitch) and cross-sectional configurations and area, the bending and torsional inertia, the curvature of the boundary point and the (geometry of) loading condition were derived. Torsional and bending stresses and the resultant deformation were expressed mathematically as a function of these geometric parameters, modulus of elasticity of the material and the applied load. As illustrations, three brands of NiTi endodontic files of different cross-sectional configurations (ProTaper, Hero 642, and Mani NRT) were analysed under pure torsion and pure bending situation by entering the model into a finite-element analysis package (ANSYS).Results Numerical results confirmed that mathematical models were a feasible method to analyse the mechanical properties and predict the stress and deformation for root canal instruments during root canal preparation.Conclusions Mathematical and numerical model can be a suitable way to examine mechanical behaviours as a criterion of the instrument design and to predict the stress and strain experienced by the endodontic instruments during root canal preparation. © 2010 International Endodontic Journal.
Persistent Identifierhttp://hdl.handle.net/10722/142258
ISSN
2015 Impact Factor: 2.842
2015 SCImago Journal Rankings: 2.020
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorZhang, EWen_HK
dc.contributor.authorCheung, GSPen_HK
dc.contributor.authorZheng, YFen_HK
dc.date.accessioned2011-10-28T02:41:50Z-
dc.date.available2011-10-28T02:41:50Z-
dc.date.issued2011en_HK
dc.identifier.citationInternational Endodontic Journal, 2011, v. 44 n. 1, p. 72-76en_HK
dc.identifier.issn0143-2885en_HK
dc.identifier.urihttp://hdl.handle.net/10722/142258-
dc.description.abstractZhang EW, Cheung GSP, Zheng YF. A mathematical model for describing the mechanical behaviour of root canal instruments. International Endodontic Journal, 44, 72-76, 2011.Aim The purpose of this study was to establish a general mathematical model for describing the mechanical behaviour of root canal instruments by combining a theoretical analytical approach with a numerical finite-element method.Method Mathematical formulas representing the longitudinal (taper, helical angle and pitch) and cross-sectional configurations and area, the bending and torsional inertia, the curvature of the boundary point and the (geometry of) loading condition were derived. Torsional and bending stresses and the resultant deformation were expressed mathematically as a function of these geometric parameters, modulus of elasticity of the material and the applied load. As illustrations, three brands of NiTi endodontic files of different cross-sectional configurations (ProTaper, Hero 642, and Mani NRT) were analysed under pure torsion and pure bending situation by entering the model into a finite-element analysis package (ANSYS).Results Numerical results confirmed that mathematical models were a feasible method to analyse the mechanical properties and predict the stress and deformation for root canal instruments during root canal preparation.Conclusions Mathematical and numerical model can be a suitable way to examine mechanical behaviours as a criterion of the instrument design and to predict the stress and strain experienced by the endodontic instruments during root canal preparation. © 2010 International Endodontic Journal.en_HK
dc.languageengen_US
dc.publisherBlackwell Publishing Ltd. The Journal's web site is located at http://www.blackwellpublishing.com/journals/IEJen_HK
dc.relation.ispartofInternational Endodontic Journalen_HK
dc.rightsThe definitive version is available at www.blackwell-synergy.com-
dc.subjectBendingen_HK
dc.subjectFinite-element analysisen_HK
dc.subjectMechanical propertyen_HK
dc.subjectNickel-titaniumen_HK
dc.subjectRoot canal instrumenten_HK
dc.subjectTorsionen_HK
dc.subject.meshDental Instruments-
dc.subject.meshDental Stress Analysis - methods-
dc.subject.meshEquipment Design-
dc.subject.meshPliability-
dc.subject.meshRoot Canal Preparation - instrumentation-
dc.titleA mathematical model for describing the mechanical behaviour of root canal instrumentsen_HK
dc.typeArticleen_HK
dc.identifier.emailCheung, GSP:spcheung@hkucc.hku.hken_HK
dc.identifier.authorityCheung, GSP=rp00016en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1111/j.1365-2591.2010.01801.xen_HK
dc.identifier.pmid21039625-
dc.identifier.scopuseid_2-s2.0-78650037850en_HK
dc.identifier.hkuros184054en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-78650037850&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume44en_HK
dc.identifier.issue1en_HK
dc.identifier.spage72en_HK
dc.identifier.epage76en_HK
dc.identifier.isiWOS:000285063900010-
dc.publisher.placeUnited Kingdomen_HK
dc.identifier.scopusauthoridZhang, EW=33368418400en_HK
dc.identifier.scopusauthoridCheung, GSP=7005809531en_HK
dc.identifier.scopusauthoridZheng, YF=35239043900en_HK
dc.identifier.citeulike8422166-

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