Izvestiya of Saratov University.

Mathematics. Mechanics. Informatics

ISSN 1816-9791 (Print)
ISSN 2541-9005 (Online)


For citation:

Glukhova O. E., Dol A. V., Kolesnikova A. S., Shunaev V. V. The new approach to investigation of multilayer graphene mechanical properties by the finite-element method. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2014, vol. 14, iss. 1, pp. 73-77. DOI: 10.18500/1816-9791-2014-14-1-73-77, EDN: SCSSSP

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online: 
25.03.2014
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Russian
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UDC: 
539.32
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SCSSSP

The new approach to investigation of multilayer graphene mechanical properties by the finite-element method

Autors: 
Glukhova Ol'ga Evgen'evna, Saratov State University
Dol Aleksandr Viktorovich, Saratov State University
Kolesnikova Anna Sergeevna, Saratov State University
Shunaev Vladislav Viktorovich, Saratov State University
Abstract: 

A new approach to investigate the mechanical properties of multilayer graphene was suggested. The method is based on the idea that the van der Waals interaction between the graphene sheets can be simulated by a fictitious layer of continuum. The stress-strain state of multilayer graphene is described by stationary equations of Navier–Lame. This approach has been successfully tested on graphene deflection. The graphene layers were considered as linear-elastic material. For each part of the curve that approximates the dependence of the graphene deflection on the applied force, corresponding elastic constants of graphene layers were found.

References: 
  1. Gil A. J., Adhikari S., Scarpa F., Bonet J. The formation of wrinkles in single-layer graphene sheets under nanoindentation. J. Phys. Condens. Matter., 2010, vol. 22, no. 14, pp. 145302-1–145302-6. DOI: 10.1088/0953-8984/22/14/145302. 
  2. Wang Z., Laetitia P., Jamil E. Deflection of suspended graphene by a transverse electric field. Physical Review B., 2009, vol. 81, iss. 15, pp. 155405-1–155405-5.
  3. Glukhova О. Е., Shunaev V. V. Investigation of the tensile strength of mono-and bilayer graphene J. Nano and microsystem technique, 2012, no. 7, pp. 25–29 (inRussian).
  4. Lee C., Wei X., Li Q., Carpick R., Kysar J. W., Hone J.Elastic and frictional properties of graphene. Physica Status Solidi, 2009, vol. 246, no. 11–12, pp. 2562—2567.
  5. Rouhi S., Ansari R. Atomistic finite element model for axial buckling and vibration analysis of single-layered graphene sheets. Physica E : Low-dimensional Systemsand Nanostructures, 2012, vol. 44, iss. 4, pp. 764–772.
  6. Mikhailov S. Physics and Applications of Graphene – Theory. Rijeka, Croatia, InTech, 2011, 534 p. 7.Nahas M. N., Abd-Rabou M. Finite element modeling of carbon nanotubes. Intern. J. of Mechanical and Mechatronics IJMME-IJENS, 2010, vol. 10, no. 3, pp. 19–24.
Received: 
22.08.2013
Accepted: 
13.01.2014
Published: 
28.02.2014
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