Modelling of carbon nanotubes behaviour with the use of a thin shell theory

• Autorzy: Muc A.

Warianty tytułu

PL

Zastosowanie teorii powłok w zagadnieniach modelowania deformacji nanorurek węglowych

• Języki publikacji: EN

Abstrakty

EN

In the paper, various problems connected with the possibility of modelling of single walled carbon nanotubes as thin cylindrical shells are discussed. The interatomic potentials playing the fundamental role in the description are presented. Special attention is focused on various types of nonlinearities (geometrical and material). The open problems arising in the modeling are also emphasised.

PL

W artykule przedstawiono problematykę modelowania deformacji jednościennych nanorurek węglowych przy pomocy teorii cienkościennych powłok cylindrycznych. W opisie zastosowano teorię potencjałów oddziaływań międzyatomowych. Szczególną uwagę zwrócono na kwestie opisu nieliniowości geometrycznych i fizycznych. Podkreślono także istnienie wielu nierozwiązanych do chwili obecnej zagadnień związanych z modelowaniem deformacji nanorurek.

Słowa kluczowe

EN

carbon nanotube; shells; interatomic potential

• Wydawca: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
• Czasopismo: Journal of Theoretical and Applied Mechanics
• Rocznik: 2011
• Tom: Vol. 49 nr 2
• Strony: 531--540
• Opis fizyczny: Bibliogr. 28 poz., rys.

Twórcy

autor

Muc A.

• Cracow University of Technology, Institute of Machine Design, Kraków, Poland,

Bibliografia

• 1. Belytschko T., Xiao S.P., Schatz G.C., Ruogg R.S., 2002, Atomistic simulations of nanotube fracture, Physical Review B, 65, 235430
• 2. Brenner D.W., 1990, Empirical potential for hydrocarbons for use in simulating the chemical vapor deposition of diamond films, Physical Review B, 42, 9458-9471
• 3. Ghorbanpourarani A., Mohammadimehr M., Arefmanesh A., Ghasemi A., 2010, Transverse vibration of short carbon nanotubes using cylindrical shell and beam models, Proc. I. Mech. Engrs – Part C: J. Mech. Eng. Sc., 224, 745-756
• 4. Han Q., Lu G.X., 2003, Torsional buckling of a double-walled carbon nanotube embedded in an elastic medium, Eur. J. Mech. A Solids, 22, 875-883
• 5. Han Q., Lu G.X., Dai L.M., 2005, Bending instability of an embedded double-walled carbon nanotube based on Winkler and van der Waals models, Compos. Sci. Technol., 65, 1337-1346
• 6. Han Q., Yao X.H., Li L.F., 2006, Theoretical and numerical study of torsional buckling of multiwall carbon nanotubes, Mech. Adv. Mater. Structures, 13, 329-337
• 7. Hu Y.-G., Liew K.M., Wang Q., He X.Q., Yakobson B.I., 2008, Nonlocal shell model for elastic wave propagation in single- and double-walled carbon nanotubes, J. Mech. and Physics Sol., 56, 3475-3485
• 8. Huang Y., Wu J., Hwang K.C., 2006, Thickness of graphene and single-wall carbon nanotubes, Physical Review B, 74, 245413
• 9. Kalamkarov A.L., Georgiades A.V., Rokkam S.K., Veedu V.P., Ghasemi-Nejhad M.N., 2006, Analytical and numerical techniques to predict carbon nanotubes properties, International Journal of Solids and Structures, 43, 6832-6854
• 10. Leung A.Y.T., Quo X., He X.Q., et al., 2006, Postbuckling of carbon nanotubes by atomic-scale finite element, J. Appl. Phys., 99, 124308
• 11. Liew K.M., Wang Q., 2007, Analysis of wave propagation in carbon nanotubes via elastic shell theories, Int. J. Eng. Sc., 45, 227-241
• 12. Muc A., 2009, Modeling of CNTs/nanocomposites deformations and tensile fracture, Proc. 17th International Conference on Composite Materials (ICCM-17), Edinburgh UK
• 13. Muc A., 2010, Design and identification methods of effective mechanical properties for carbon nanotubes, Mat. Des., 31, 1671-1675
• 14. Natsuki T., Ni Q.-Q, Endo M., 2008, Analysis of the vibration characteristics of double-walled carbon nanotubes, Carbon, 46, 1570-1573
• 15. Peng J., Wu J., Hwang K.C., Song J., Huang Y., 2008, Can a single-wall carbon nanotube be modeled as a thin shell? Journal of the Mechanics and Physics of Solids, 56, 2213-2224
• 16. Ru C.Q., 2000a, Effect of van der Waals forces on axial buckling of a doublewalled carbon nanotube, J. Appl. Phys., 87, 7227-7231
• 17. Ru C.Q., 2000b, Effective bending stiffness of carbon nanotubes, Phys. Rev. B, 62, 9973-9976
• 18. Ru C.Q., 2001, Axially compressed buckling of a doublewalled carbon nanotube embedded in an elastic medium, J. Mech. Phys. Solids, 49, 1265-1279
• 19. Tylikowski A., 2008, Instability of thermally induced vibrations of carbon nanotubes, Arch. Appl. Mech., 78, 49-60
• 20. Wang L.F., Hu H.Y., Guo Wl., 2005, Postbuckling of carbon nanotubes subjected to cyclic load, Acta Mech. Solida Sinica, 18, 123-129
• 21. Wang C.M., Ma Y.Q., Zhang Y.Y., Ang K.K., 2006, Buckling of doublewalled carbon nanotubes modeled by solid shell elements, J. Appl. Phys., 99, 114317
• 22. Wu J., Hwang K.C., Huang Y., 2008, An atomistic-based finite-deformation shell theory for single-wall carbon nanotubes, J. Mech. Phys. Solids, 56, 279-292
• 23. Wu J., Peng J., Hwang K.C., Song J., Huang Y., 2008, The intrinsic stiffness of single-wall carbon nanotubes, Mechanics Research Communications, 35, 2-9
• 24. Xu C.L., Wang X., 2007, Matrix effects on the breathing modes of multiwall carbon nanotubes, Composite Str., 80, 73-81
• 25. Yakobson B.I., Brabec C.J., Bernholc J., 1996. Nanomechanics of carbon tubes: instability beyond linear response, Phys. Rev. Lett., 76, 2511-2514
• 26. Yao X.H., Han Q., 2006, Buckling analysis of multiwalled carbon nanotubes under torsional load coupling with temperature change, J. Eng. Mater. Technol., 128, 419-427
• 27. Yao X.H., Han Q., 2007, Investigation of axially compressed buckling of a multi-walled carbon nanotube under temperature field, Compos. Sci. Technol., 67, 125-134
• 28. Yao X.H., Han O., 2008, A continuum mechanics nonlinear postbuckling analysis for single-walled carbon nanotubes under torque, Eur. J. Mech. A Solids, 27, 796-807