Geodesic
The new approach to investigation of multilayer graphene mechanical properties by the finite-element method
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 14 (2014) no. 1, pp. 73-77.

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{ISU_2014_14_1_a7,
     author = {O. E. Glukhova and A. V. Dol' and A. S. Kolesnikova and V. V. Shunaev},
     title = {The new approach to investigation of multilayer graphene mechanical properties by the finite-element method},
     journal = {Izvestiya of Saratov University. Mathematics. Mechanics. Informatics},
     pages = {73--77},
     publisher = {mathdoc},
     volume = {14},
     number = {1},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ISU_2014_14_1_a7/}
}
TY  - JOUR
AU  - O. E. Glukhova
AU  - A. V. Dol'
AU  - A. S. Kolesnikova
AU  - V. V. Shunaev
TI  - The new approach to investigation of multilayer graphene mechanical properties by the finite-element method
JO  - Izvestiya of Saratov University. Mathematics. Mechanics. Informatics
PY  - 2014
SP  - 73
EP  - 77
VL  - 14
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ISU_2014_14_1_a7/
LA  - ru
ID  - ISU_2014_14_1_a7
ER  - 
%0 Journal Article
%A O. E. Glukhova
%A A. V. Dol'
%A A. S. Kolesnikova
%A V. V. Shunaev
%T The new approach to investigation of multilayer graphene mechanical properties by the finite-element method
%J Izvestiya of Saratov University. Mathematics. Mechanics. Informatics
%D 2014
%P 73-77
%V 14
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ISU_2014_14_1_a7/
%G ru
%F ISU_2014_14_1_a7
O. E. Glukhova; A. V. Dol'; A. S. Kolesnikova; V. V. Shunaev. The new approach to investigation of multilayer graphene mechanical properties by the finite-element method. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 14 (2014) no. 1, pp. 73-77. http://geodesic.mathdoc.fr/item/ISU_2014_14_1_a7/

[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., 22:14 (2010), 145302-1–145302-6 | DOI

[2] Wang Z., Laetitia P., Jamil E., “Deflection of suspended graphene by a transverse electric field”, Phys. Rev. B, 81:15 (2009), 155405-1–155405-5 | DOI

[3] Glukhova O. E., Shunaev V. V., “Investigation of the tensile strength of mono-and bilayer graphene”, J. Nano and microsystem technique, 2012, no. 7, 25–29

[4] Lee C., Wei X., Li Q., Carpick R., Kysar J. W., Hone J., “Elastic and frictional properties of graphene”, Physica Status Solidi, 246:11–12 (2009), 2562–2567 | DOI

[5] Rouhi S., Ansari R., “Atomistic finite element model for axial buckling and vibration analysis of single-layered graphene sheets”, Physica E: Low-dimensional Systems and Nanostructures, 44:4 (2012), 764–772 | DOI

[6] Mikhailov S., Physics and Applications of Graphene – Theory, InTech, Rijeka, Croatia, 2011, 534 pp.

[7] Nahas M. N., Abd-Rabou M., “Finite element modeling of carbon nanotubes”, Intern. J. of Mech. and Mechatronics IJMME-IJENS, 10:3 (2010), 19–24