Stress Concentration Factor of Single-Layered Graphene Sheets Containing Elliptical Vacancies

Subject Areas : Engineering

S.K Jalali ¹ , M.J Beigrezaee ²

1 - Department of Mechanical Engineering, Kermanshah University of Technology, Kermanshah, Iran
2 - Department of Mechanical Engineering, Kermanshah University of Technology, Kermanshah, Iran

Received: 2019-06-26 Accepted : 2019-08-28 Published : 2019-09-30

Keywords:

References:

[1] Tourki Samaei A., Hosseini Hashemi S., 2012, Buckling analysis of graphene nanosheets based on nonlocal elasticity theory, International Journal of Nano Dimension 2: 227-232.
[2] Prasanna Kumar T. J., Narendar S., Gupta B. L. V. S., Gopalakrishnan S., 2013, Thermal vibration analysis of double-layer graphene embedded in elastic medium based on nonlocal continuum mechanics, International Journal of Nano Dimension 4: 29-49.
[3] Soldano C., Mahmood A., Dujardin E., 2010, Production, properties and potential of graphene, Carbon 48: 2127-2150.
[4] Ansari R., Ajori S., Motevalli B., 2012, Mechanical properties of defective single-layered graphene sheets via molecular dynamics simulation, Superlattices and Microstructures 51: 274-289.
[5] Mortazavi B., Ahzi S., 2013, Thermal conductivity and tensile response of defective graphene: A molecular dynamics study, Carbon 63: 460–470.
[6] Adali S., 2012, Variational principles for nonlocal continuum model of orthotropic graphene sheets embedded in an elastic medium, Acta Mathematica Scientia 32: 325-338.
[7] Kang J. W., Lee S., 2013, Molecular dynamics study on the bending rigidity of graphene nanoribbons, Computational Materials Science 74: 107-113.
[8] Shokrieh M. M., Esmkhani M., Haghighatkhah A. R., Zhao Z. , 2014, Flexural fatigue behavior of synthesized graphene/carbon-nanofiber/epoxy hybrid nanocomposites, Materials & Design 62: 401-408.
[9] Firouz-Abadi R. D., Hosseinian A. R., 2012, Free vibrations of single-walled carbon nanotubes in the vicinity of a fully constrained graphene sheet, Computational Materials Science 53: 12-17.
[10] Oubal M., Picaud S., Rayez M.-T., Rayez J.-C., 2012, Structure and reactivity of carbon multivacancies in graphene, Computational and Theoretical Chemistry 990: 159-166.
[11] Ozturk Z., Baykasoglu C., Kirca M., 2016, Sandwiched graphene-fullerene composite: A novel 3-D nanostructured material for hydrogen storage, International Journal of Hydrogen Energy 41: 6403-6411.
[12] Gao Y., Hao P., 2009, Mechanical properties of monolayer graphene under tensile and compressive loading, Physica E: Low-dimensional Systems and Nanostructures 41: 1561-1566.
[13] Li C., Chou T.-W. W., 2003, A structural mechanics approach for the analysis of carbon nanotubes, International Journal of Solids and Structures 40: 2487-2499.
[14] Bocko J., Lengvarský P., 2018, Buckling analysis of graphene nanosheets by the finite element method, MATEC Web of Conferences 157: 06002.
[15] Namin S. F. A., Pilafkan R., 2017, Vibration analysis of defective graphene sheets using nonlocal elasticity theory, Physica E: Low-Dimensional Systems and Nanostructures 93: 257-264.
[16] Agius Anastasi A., Ritos K., Cassar G., Borg M. K., 2016, Mechanical properties of pristine and nanoporous graphene, Molecular Simulation 42: 1502-1511.
[17] Sakhaee-Pour A., 2009, Elastic properties of single-layered graphene sheet, Solid State Communications 149: 91-95.
[18] Scarpa F., Adhikari S., Srikantha Phani A., 2009, Effective elastic mechanical properties of single layer graphene sheets, Nanotechnology 20: 065709.
[19] Lu Q., Arroyo M., Huang R., 2009, Elastic bending modulus of monolayer graphene, Journal of Physics D: Applied Physics 42: 102002.
[20] Firouz-Abadi R. D., Moshrefzadeh-Sany H., Mohammadkhani H., Sarmadi M., 2016, A modified molecular structural mechanics model for the buckling analysis of single layer graphene sheet, Solid State Communications 225: 12-16.
[21] Hashemnia K., Farid M., Vatankhah R., 2009, Vibrational analysis of carbon nanotubes and graphene sheets using molecular structural mechanics approach, Computational Materials Science 47: 79-85.
[22] Wang C. G., Lan L., Liu Y. P., Tan H. F., He X. D., 2013, Vibration characteristics of wrinkled single-layered graphene sheets, International Journal of Solids and Structures 50: 1812-1823.
[23] Yadav S., Zhu Z., Singh C. V., 2014, Defect engineering of graphene for effective hydrogen storage, International Journal of Hydrogen Energy 39: 4981-4995.
[24] Wang M. C. C., Yan C., Ma L., Hu N., Chen M. W. W., 2012, Effect of defects on fracture strength of graphene sheets, Computational Materials Science 54: 236-239.
[25] Liu L., Qing M., Wang Y., Chen S., 2015, Defects in graphene: generation, healing, and their effects on the properties of graphene: A review, Journal of Materials Science & Technology 31: 599-606.
[26] Xiao J. R., Staniszewski J., Gillespie J. W., 2010, Tensile behaviors of graphene sheets and carbon nanotubes with multiple Stone–Wales defects, Materials Science and Engineering: A 527: 715-723.
[27] Rodrigues J. N. B., 2011, Zigzag graphene nanoribbon edge reconstruction with Stone-Wales defects, Physical Review B 84: 155435.
[28] Fan B. B., Yang X. B., Zhang R., 2010, Anisotropic mechanical properties and Stone–Wales defects in graphene monolayer: A theoretical study, Physics Letters A 374: 2781-2784.
[29] Wang S. P., Guo J. G., Zhou L. J., 2013, Influence of Stone-Wales defects on elastic properties of graphene nanofilms, Physica E: Low-Dimensional Systems and Nanostructures 48: 29-35.
[30] Surwade S. P., 2015, Water desalination using nanoporous single-layer graphene, Nature Nanotechnology 10: 459-464.
[31] Cohen-Tanugi D., Grossman J. C., 2015, Nanoporous graphene as a reverse osmosis membrane: Recent insights from theory and simulation, Desalination 366: 59-70.
[32] Jalali S. K., Beigrezaee M. J., Pugno N. M., 2017, Atomistic evaluation of the stress concentration factor of graphene sheets having circular holes, Physica E: Low-dimensional Systems and Nanostructures 93: 318-323.
[33] Pilkey W. D., Pilkey D. F., 2007, Peterson’s Stress Concentration Factors, John Wiley & Sons, Inc.
[34] Boresi A. P., Schmidt R. J., 2002, Advanced Mechanics of Materials, Wiley-VCH Verlag GmbH & Co. KGaA.
[35] Pugno N. M., Ruoff R. S., 2004, Quantized fracture mechanics, Philosophical Magazine 84: 2829-2845.