Skip to main content
Fachgebiete
Automobil + Motoren Bauwesen + Immobilien Business IT + Informatik Elektrotechnik + Elektronik Energie + Nachhaltigkeit Finance + Banking Management + Führung Marketing + Vertrieb Maschinenbau + Werkstoffe Versicherung + Risiko
DE
EN
Bücher
Zeitschriften
Themenseiten
Organisationspsychologie Projektmanagement Marketing Smart Manufacturing
Weitere Formate
Podcasts Webinare Technik Webinare Wirtschaft Kongresse Veranstaltungskalender Awards
Jetzt Einzelzugang starten
Zugang für Unternehmen
Referenzkunden
SLX-Digitalkonferenz: Zukunftswerkstatt 2024

Mehr Umsatz mit Top-Kontakten

Am 7. Mai erfahren Sie, wie Vertriebsteams Leadgenerierung, Leadnurturing und Leadstrategien effizient steuern können.
Erweiterte Suche
Anmelden
nach oben
Microsystem Technologies
Erschienen in: Microsystem Technologies 6/2017

05.07.2016 | Technical Paper

Buckling analysis of biaxially compressed double-layered graphene sheets with various boundary conditions based on nonlocal elasticity theory

verfasst von: M. E. Golmakani, M. N. Sadraee Far

Erschienen in: Microsystem Technologies | Ausgabe 6/2017

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

This paper investigates the buckling behavior of biaxially compressed orthotropic double-layered graphene sheet (DLGS) embedded in an elastic medium based on nonlocal elasticity theory. The DLGS is modeled as a nonlocal double-layered plate which contains small scale effect and van der Waals interaction forces. The van der Waals interactions between the graphene layers are simulated as a set of linear springs using the Lennard-Jones potential model. Using the principle of virtual work, equilibrium equations are derived based on first order shear deformation theory and the nonlocal differential constitutive relations of Eringen. Differential quadrature method is employed to solve the governing equations for various combinations of free, simply supported or clamped boundary conditions. The present formulation and method of solution are validated by comparing the results, in the limit cases, with those available in the open literature. Finally, the effects of nonlocal parameter, geometric properties, elastic medium, compression ratio, mode numbers and boundary conditions are investigated on the buckling load of DLGS in detail. It is observed that in DLGSs with width of 20 nm and lengthes larger than 30 nm, the buckling load is independent of aspect ratios and boundary conditions.
Vorheriger Artikel Ultrasonically manufactured microfluidic device for yeast analysis
Nächster Artikel An improved analytical and finite element method model of nanoelectromechanical system based micromachined ultrasonic transducers

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Jetzt informieren
Literatur
Aksencer T, Aydogdu M (2011) Levy type solution method for vibration and buckling of nanoplates using nonlocal elasticity theory. Physica E 43:954–959CrossRef
Anjomshoa A, Shahidi AR, Hassani B, Jomehzadeh E (2014) Finite element buckling analysis of multi-layered graphene sheets on elastic substrate based on nonlocal elasticity theory. Appl Math Model 38(24):5934–5955MathSciNetCrossRef
Ansari R, Sahmani S (2013) Prediction of biaxial buckling behavior of single-layered graphene sheets based on nonlocal plate models and molecular dynamics simulations. Appl Math Model 37:7338–7351MathSciNetCrossRef
Behfar K, Naghdabadi R (2005) Nanoscale vibrational analysis of a multi-layered graphene sheet embedded in an elastic medium. Compos Sci Technol 65:1159–1164CrossRef
Chen Y, Lee JD, Eskandarian A (2004) Atomistic view point of the applicability of micro-continuum theories. Int J Solids Struct 41:2085–2097CrossRefMATH
Craighead HG (2000) Nanoelectromechanical systems. Science 290:1532–1535CrossRef
Eringen AC (2002) Nonlocal continuum field theories. Springer, New YorkMATH
Farajpour A, Shahidi AR, Mohammadi M, Mahzoon M (2012) Buckling of orthotropic micro/nanoscale plates under linearly varying in-plane load via nonlocal continuum mechanics. Compos Struct 94:1605–1615CrossRef
Farajpour A, ArabSolghar AR, Shahidi AR (2013) Postbuckling analysis of multilayered graphene sheets under non-uniform biaxial compression. Physica E 47:197–206CrossRef
Golmakani ME, Rezatalab J (2015) Non uniform biaxial buckling of orthotropic Nano plates embedded in an elastic medium based on nonlocal Mindlin plate theory. Compos Struct 119:238–250CrossRef
He XQ, Kitipornchai S, Liew KM (2005) Resonance analysis of multi-layered graphene sheets used as nanoscale resonators. Nanotechnology 16:2086–2091CrossRef
Hosseini-Hashemi S, Akhavan H, Rokni Damavandi Taher H, Daemi N, Alibeigloo A (2010) Differential quadrature analysis of functionally graded circular and annular sector plates on elastic foundation. Mater Des 31(4):1871–1880CrossRef
Jomehzadeh E, Saidi AR (2011) A study on large amplitude vibration of multilayered graphene sheets. Comput Mater Sci 50:1043–1051CrossRef
Jomehzadeh E, Saidi AR, Pugno NM (2012) Large amplitude vibration of a bilayer graphene embedded in a nonlinear polymer matrix. Physica E 44(10):1973–1982CrossRef
Kim H, Macosko CW (2009) Processing-property relationships of polycarbonate/graphene composites. Polymer 50:3797–3809CrossRef
Kuilla T, Bhadra S, Yao D, Kim NH, Bose S, Lee JH (2010) Recent advances in graphene based polymer composites. Prog Polym Sci 35:1350–1375CrossRef
Lennard-Jones JE (1924) The determination of molecular fields: from the variation of the viscosity of a gas with temperature. Proc R Soc Lond 106:441–462CrossRef
Lima AP, Martins AS (2012) Sa Martins JS. Lennard-Jones binary fluids: a comparative study between the molecular dynamics and Monte Carlo descriptions of their Structural properties. Phys A 391:4281–4289CrossRef
Lu WB, Wu J, Song J, Hwang KC, Jiang LY, Huang Y (2008) A cohesive law for interfaces between multi-wall carbon nanotubes and polymers due to the van der Waals interactions. Comput Methods Appl Mech Eng 197:3261–3267CrossRefMATH
Malekzadeh P, Setoodeh AR, Alibeygi Beni A (2011a) Small scale effect on the thermal buckling of orthotropic arbitrary straight–sided quadrilateral nanoplates embedded in an elastic medium. Compos Struct 93:2083–2089CrossRef
Malekzadeh P, Setoodeh AR, Alibeygi Beni A (2011b) Small scale effect on the free vibration of orthotropic arbitrary straight-sided quadrilateral nanoplates. Compos Struct 93:1631–1639CrossRef
Mohammadi M, Farajpour A, Moradi A, Ghayour M (2014) Shear buckling of orthotropic rectangular graphene sheet embedded in an elastic medium in thermal environment. Compos Part B 56:629–637CrossRef
Murmu T, Pradhan SC (2009) Buckling of biaxially compressed orthotropic plates at small scales. Mech Res Commun 36:933–938CrossRefMATH
Murmu T, Sienz J, Adhikari S, Arnold C (2013) Nonlocal buckling of double-nanoplate-systems under biaxial compression. Compos Part B 44:84–94CrossRef
Ni Z, Bu H, Zou M, Yi H, Bi K, Chen Y (2010) Anisotropic mechanical properties of graphene sheets from molecular dynamics. Phys B 405:1301–1306CrossRef
Pradhan SC (2009) Buckling of single layer graphene sheet based on nonlocal elasticity and higher order shear deformation theory. Phys Lett A 373:4182–4188CrossRefMATH
Pradhan SC (2012) Buckling analysis and small scale effect of biaxially compressed graphene sheets using non-local elasticity theory. Sadhana 37:461–480CrossRefMATH
Pradhan SC, Murmu T (2009) Small scale effect on the buckling of single-layered graphene sheets under biaxial compression via nonlocal continuum mechanics. Comput Mater Sci 47:268–274CrossRef
Pradhan SC, Murmu T (2010) Small scale effect on the buckling analysis of single-layered graphene sheet embedded in an elastic medium based on nonlocal plate theory. Physica E 42:1293–1301CrossRef
Pradhan SC, Phadikar JK (2009) Small scale effect on vibration of embedded multilayered graphene sheets based on nonlocal continuum models. Phys Lett A 373:1062–1069CrossRefMATH
Quyang FP, Peng SL, Zhang H, Weng LB, Xu H (2011) A biosensor based on grapheme nanoribbon with nanopores: a first-principles devices-design. Chin Phys B 20:058504CrossRef
Radic N, Jeremic D, Trifkovic S, Milutinovic M (2014) Buckling analysis of double-orthotropic nanoplates embedded in Pasternak elastic medium using nonlocal elasticity theory. Compos Part B 61:162–171CrossRef
Sakhaee-Pour A (2009) Elastic buckling of single-layered graphene sheet. Comput Mater Sci 45(2):266–270CrossRef
Samaeia AT, Abbasion S, Mirsayar MM (2011) Buckling analysis of a single-layer graphene sheet embedded in an elastic medium based on nonlocal Mindlin plate theory. Mech Res Commun 38:481–485CrossRefMATH
Sarrami-Foroushani S, Azhari M (2014) Nonlocal vibration and buckling analysis of single and multilayered graphene sheets using finite strip method including van der Waals effects. Physica E 57:83–95CrossRef
Satouri S, Kargarnovin MH, Allahkarami F, Asanjarani A (2015) Application of third order shear deformation theory in buckling analysis of 2D-functionally graded cylindrical shell reinforced by axial stiffeners. Compos Part B 79:236–253CrossRef
Shen H-S, Zhang C-L (2010a) Torsional buckling and postbuckling of double-walled carbon nanotubes by nonlocal shear deformable shell model. Compos Struct 92:1073–1084CrossRef
Shen H-S, Zhang C-L (2010b) Nonlocal shear deformable shell model for post-buckling of axially compressed double-walled carbon nanotubes embedded in an elastic matrix. J Appl Mech ASME 77:041006CrossRef
Shen H-S, Xu Y-M, Zhang C-L (2013) Prediction of nonlinear vibration of bilayer graphene sheets in thermal environments via molecular dynamics simulations and nonlocal elasticity. Comput Methods Appl Mech Eng 267:458–470MathSciNetCrossRefMATH
Shu C (2000) Differential quadrature and its application in engineering. Springer, BerlinCrossRefMATH
Terrones M, Botello-Mendez AR, Campos-Delgado J, Lopez-Urias F, Vega-Cantu YI, Rodriguez-Macias FJ et al (2010) Graphene and graphite nanoribbons: morphology, properties, synthesis, defects and applications. Nanotoday 5:351–372CrossRef
Wang X (2015) Wang Yu. Buckling analysis of thin rectangular plates under uniaxial or biaxial compressive point loads by the differential quadrature method. Int J Mech Sci 101:38–48CrossRef
Wang Q, Wang CM (2007) The constitutive relation and small scale parameter of nonlocal continuum mechanics for modeling carbon nanotubes. Nanotechnology 18:075702CrossRef
Xu Y-M, Shen H-S, Zhang C-L (2013) Nonlocal plate model for nonlinear bending of bilayer graphene sheets subjected to transverse loads in thermal environments. Compos Struct 98:294–302CrossRef
Yang L, Zhang L, Webster T (2011) Carbon nanostructures for orthopedic medical applications. Nanomedicine 6:1231–1244CrossRef
Metadaten
Titel
Buckling analysis of biaxially compressed double-layered graphene sheets with various boundary conditions based on nonlocal elasticity theory
verfasst von
M. E. Golmakani
M. N. Sadraee Far
Publikationsdatum
05.07.2016
Verlag
Springer Berlin Heidelberg
Erschienen in
Microsystem Technologies / Ausgabe 6/2017
Print ISSN: 0946-7076
Elektronische ISSN: 1432-1858
DOI
https://doi.org/10.1007/s00542-016-3053-6

Weitere Artikel der Ausgabe 6/2017

Microsystem Technologies 6/2017 Zur Ausgabe

Technical Paper

Back-end-of-line compatible Poly-SiGe lateral nanoelectromechanical relays with multi-level interconnect

Technical Paper

Thermohydrodynamic analysis of micro spherical spiral groove gas bearings under slip flow and surface roughness coupling effect

Erratum

Erratum to: Tracking control of a piezoelectric actuator with hysteresis compensation using RST digital controller

Technical Paper

Micro-pillars enhanced all vanadium redox flow batteries and the effect of assembly torque on the electrochemical performance

Technical Paper

Electromagnetically actuated biaxial scanning micromirror fabricated with silicon on glass wafer

Technical Paper

Silicon tip sharpening based on thermal oxidation technology

Neuer Inhalt

    Bildnachweise