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dc.contributor.advisorMann, Brian P.eng
dc.contributor.authorHazra, Siddhartheng
dc.date.issued2007eng
dc.date.submitted2007 Falleng
dc.descriptionThe entire dissertation/thesis text is included in the research.pdf file; the official abstract appears in the short.pdf file (which also appears in the research.pdf); a non-technical general description, or public abstract, appears in the public.pdf file.eng
dc.descriptionTitle from title screen of research.pdf file (viewed on March 27, 2008)eng
dc.descriptionIncludes bibliographical references.eng
dc.descriptionThesis (M.S.) University of Missouri-Columbia 2007.eng
dc.descriptionDissertations, Academic -- University of Missouri--Columbia -- Mechanical and aerospace engineering.eng
dc.description.abstractCurrent physical models of tip-sample interactions in nanoindentation and atomic force microscopy are exclusively based on either the Johnson-Kendall-Roberts (JKR) or Derjaguin-Muller-Toporov (DMT) models of adhesive contact respectively. Analytical and numerical models bridging the transition regime between the two models have been demonstrated but their use has been limited due to the difficulty in obtaining a force relation in terms of displacement from them. The current thesis examines various transition models with aim of selecting a model from which a transitional force-displacement relation can be derived. For this purpose, firstly a general equivalence between the newer Schwarz and the more established Maugis-Dugdale model is demonstrated through the comparison of critical forces from both the models. Since the Maugis-Dugdale model does not provide an expression for critical force, an analytical expression is derived and demonstrated to be valid. This conclusion allows us to derive a force expression from the Schwarz transitional model in terms of displacement. A new reformulation of the JKR and Schwarz models, in terms of a nondimensional parameter is also presented. The derived force expression is then expressed as a third-order polynomial through a series expansion. Since indentation models typically use linearized force expressions, it is demonstrated that a nonlinear third-order expression results in an economically viable accuracy. Finally a method of material parameter identification is outlined which coupled with existing nonlinear models of nanoindentation should result in greater accuracy in characterization.eng
dc.identifier.merlinb62997658eng
dc.identifier.oclc214283995eng
dc.identifier.urihttps://hdl.handle.net/10355/5027
dc.identifier.urihttps://doi.org/10.32469/10355/5027eng
dc.languageEnglisheng
dc.publisherUniversity of Missouri--Columbiaeng
dc.relation.ispartof2007 Freely available theses (MU)eng
dc.relation.ispartofcommunityUniversity of Missouri-Columbia. Graduate School. Theses and Dissertations. Theses. 2007 Theseseng
dc.subject.lcshAtomic force microscopyeng
dc.subject.lcshMaterials -- Electric propertieseng
dc.subject.lcshNanoelectromechanical systemseng
dc.subject.lcshNanotechnologyeng
dc.subject.lcshHardnesseng
dc.titleAn investigation of nonlinear tip-sample force models for nanoindentationeng
dc.typeThesiseng
thesis.degree.disciplineMechanical and aerospace engineering (MU)eng
thesis.degree.grantorUniversity of Missouri--Columbiaeng
thesis.degree.levelMasterseng
thesis.degree.nameM.S.eng


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