Airy's functions in nonlocal elasticity

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dc.authorid55993246600
dc.contributor.authorAltan B.S.
dc.date.accessioned20.04.201910:49:12
dc.date.accessioned2019-04-20T21:44:44Z
dc.date.available20.04.201910:49:12
dc.date.available2019-04-20T21:44:44Z
dc.date.issued2011
dc.departmentBayburt Üniversitesien_US
dc.description.abstractNanostructured devices and materials, such as carbon nanotubes, Atomic Force Microscope, MEMS, etc. attract increasing attention in the scientific world. It has been realized that the classical elasticity is not capable to capture the mechanical behavior of them precisely. There is a wide consensus among the scientists that nonlocal elasticity is more capable than the classical counterpart to model the mechanical behavior of nanostructured materials and devices. In this paper a method which is useful for solving problems in nonlocal is introduced. Airy's stress functions for plane stress problems in nonlocal elasticity are studied. The nonlocal constitutive equations in integral form are discussed and a method is suggested to invert the constitutive equation which allows expressing strains in terms of stresses. A qualitative discussion is given on this inversion process. For the nonlocality kernel of exponential form, the differential equation for Airy's functions in nonlocal elasticity is obtained by introducing the strains into the compatibility condition. Appropriate polynomial forms for the Airy's function are considered and are applied to solve beam bending problems. The solutions are compared with their classical counterparts. The results are given in a series of figures and tables and are discussed in detail. This paper is concluded by indicating the implications of the presented study in nanomechanics and nanotechnology. Copyright © 2011 American Scientific Publishers.en_US
dc.identifier.doi10.1166/jctn.2011.1873
dc.identifier.endpage2388
dc.identifier.issn1546-1955
dc.identifier.issue11
dc.identifier.scopus2-s2.0-84856921692en_US
dc.identifier.scopusqualityQ4en_US
dc.identifier.startpage2381
dc.identifier.urihttps://dx.doi.org/10.1166/jctn.2011.1873
dc.identifier.urihttps://hdl.handle.net/20.500.12403/926
dc.identifier.volume8
dc.identifier.wosWOS:000301081200031en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.relation.ispartofJournal of Computational and Theoretical Nanoscienceen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectAiry's stress functions
dc.subjectBending of MEMS
dc.subjectNanomechanics
dc.subjectNanotechnology
dc.subjectNonlocal elasticity
dc.subjectAiry's stress function
dc.subjectAtomic force microscopes
dc.subjectBeam bending
dc.subjectClassical counterpart
dc.subjectCompatibility conditions
dc.subjectExponential form
dc.subjectIntegral form
dc.subjectInversion process
dc.subjectMechanical behavior
dc.subjectNano-structured
dc.subjectNonlocal
dc.subjectNonlocal elasticity
dc.subjectNonlocalities
dc.subjectPlane stress
dc.subjectPolynomial form
dc.subjectAtomic force microscopy
dc.subjectCarbon nanotubes
dc.subjectConstitutive equations
dc.subjectDifferential equations
dc.subjectMechanical engineering
dc.subjectNanomechanics
dc.subjectNanotechnology
dc.subjectProblem solving
dc.subjectStructural design
dc.subjectElasticity
dc.subjectAiry's stress functions
dc.subjectBending of MEMS
dc.subjectNanomechanics
dc.subjectNanotechnology
dc.subjectNonlocal elasticity
dc.subjectAiry's stress function
dc.subjectAtomic force microscopes
dc.subjectBeam bending
dc.subjectClassical counterpart
dc.subjectCompatibility conditions
dc.subjectExponential form
dc.subjectIntegral form
dc.subjectInversion process
dc.subjectMechanical behavior
dc.subjectNano-structured
dc.subjectNonlocal
dc.subjectNonlocal elasticity
dc.subjectNonlocalities
dc.subjectPlane stress
dc.subjectPolynomial form
dc.subjectAtomic force microscopy
dc.subjectCarbon nanotubes
dc.subjectConstitutive equations
dc.subjectDifferential equations
dc.subjectMechanical engineering
dc.subjectNanomechanics
dc.subjectNanotechnology
dc.subjectProblem solving
dc.subjectStructural design
dc.subjectElasticity
dc.titleAiry's functions in nonlocal elasticityen_US
dc.typeArticleen_US

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