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dc.contributor.authorMalikan, Mohammad
dc.contributor.authorNguyen, Van Bac
dc.date.accessioned2019-01-08T11:53:13Z
dc.date.available2019-01-08T11:53:13Z
dc.date.issued2018-10-04
dc.identifier.citationMalikan, M., and Nguyen, V. (2018) ‘A novel one-variable first-order shear deformation theory for biaxial buckling of a size-dependent plate based on Eringen’s nonlocal differential law"’, World Journal of Engineering, 15(5), pp.633-645. Doi: 10.1108/WJE-11-2017-0357en
dc.identifier.issn1708-5284
dc.identifier.doi10.1108/WJE-11-2017-0357
dc.identifier.urihttp://hdl.handle.net/10545/623263
dc.description.abstractPurpose – This paper aims to present a new one-variable first-order shear deformation theory (OVFSDT) using nonlocal elasticity concepts for buckling of graphene sheets. Design/methodology/approach – The FSDT had errors in its assumptions owing to the assumption of constant shear stress distribution along the thickness of the plate, even though by using the shear correction factor (SCF), it has been slightly corrected, the errors have been remained owing to the fact that the exact value of SCF has not already been accurately identified. By using two-variable first-order shear deformation theories, these errors decreased further by removing the SCF. To consider nanoscale effects on the plate, Eringen’s nonlocal elasticity theory was adopted. The critical buckling loads were computed by Navier’s approach. The obtained numerical resultswere then compared with previous studies’ results using molecular dynamics simulations and other plate theories for validation which also showed the accuracy and simplicity of the proposed theory. Findings – In comparing the biaxial buckling results of the proposed theory with the two-variable shear deformation theories and exact results, it revealed that the two-variable plate theories were not appropriate for the investigation of a symmetrical analyses. Originality/value – A formulation for FSDT was innovated by reconsidering its errors to improve the FSDT for investigation of mechanical behavior of nanoplates.
dc.description.sponsorshipN/Aen
dc.language.isoenen
dc.publisherEmerald Group Publishing Limiteden
dc.relation.urlhttps://www.emeraldinsight.com/doi/10.1108/WJE-11-2017-0357en
dc.rightsArchived with thanks to World Journal of Engineeringen
dc.subjectGraphene sheetsen
dc.subjectNonlocalen
dc.subjectElasticity theoryen
dc.subjectOne variable FSDTen
dc.titleA novel one variable first-order shear deformation theory for biaxial buckling of a size-dependent plate based on the Eringen's nonlocal differential law.en
dc.typeArticleen
dc.contributor.departmentIslamic Azad Universityen
dc.contributor.departmentUniversity of Derbyen
dc.identifier.journalWorld Journal of Engineeringen
dc.contributor.institutionIslamic Azad University Mashhad Branch Mashhad Iran (the Islamic Republic of)
dc.contributor.institutionUniversity of Derby Derbyshire United Kingdom of Great Britain and Northern Ireland
dc.dateAccepted2018-02-05
dc.dateAccepted2018-02-05
dc.dateAccepted2018-02-05
dc.dateAccepted2018-02-08
refterms.dateFOA2019-02-28T18:02:23Z
html.description.abstractPurpose – This paper aims to present a new one-variable first-order shear deformation theory (OVFSDT) using nonlocal elasticity concepts for buckling of graphene sheets. Design/methodology/approach – The FSDT had errors in its assumptions owing to the assumption of constant shear stress distribution along the thickness of the plate, even though by using the shear correction factor (SCF), it has been slightly corrected, the errors have been remained owing to the fact that the exact value of SCF has not already been accurately identified. By using two-variable first-order shear deformation theories, these errors decreased further by removing the SCF. To consider nanoscale effects on the plate, Eringen’s nonlocal elasticity theory was adopted. The critical buckling loads were computed by Navier’s approach. The obtained numerical resultswere then compared with previous studies’ results using molecular dynamics simulations and other plate theories for validation which also showed the accuracy and simplicity of the proposed theory. Findings – In comparing the biaxial buckling results of the proposed theory with the two-variable shear deformation theories and exact results, it revealed that the two-variable plate theories were not appropriate for the investigation of a symmetrical analyses. Originality/value – A formulation for FSDT was innovated by reconsidering its errors to improve the FSDT for investigation of mechanical behavior of nanoplates.


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