[1]
Ajayan P.M., Carbon nanotubes, in: H.S. Nalwa (Ed. ), Nanostructured materials and nanotechnology, Academic Press, 2000, pp.329-360.
Google Scholar
[2]
Srivastava D., Wei Ch., Cho K., Nanomechanics of carbon nanotubes and composites, Appl. Mech. Rev. 56 (2003) 215-231.
Google Scholar
[3]
Qian D., Wagner G.J., Liu W.K., Yu M. -F., Ruoff R.S., Mechanics of carbon nanotubes, Appl. Mech. Rev. 55 (2002) 495-533.
Google Scholar
[4]
Desai A.V., Haque M.A., Mechanics of the interface for carbon nanotube-polymer composites, Thin. Wall. Struct. 43 (2005) 1787-1803.
DOI: 10.1016/j.tws.2005.07.003
Google Scholar
[5]
Thostenson E.T., Li C., Chou T. -W., Nanocomposites in context, Compos. Sci. Technol. 65 (2005) 491-516.
Google Scholar
[6]
Gates T.S., Odegard G.M., Frankland S.J.V., Clancy T.C., Computational materials: Multi-scale modeling and simulation of nanostructured materials, Compos. Sci. Technol. 65 (2005) 2416–2434.
DOI: 10.1016/j.compscitech.2005.06.009
Google Scholar
[7]
Hu H., Onyebueke L., Abatan A., Characterizing and modeling mechanical properties of nanocomposites-review and evaluation, J. Miner. Mater. Character. Eng. 9 (2010) 275-319.
DOI: 10.4236/jmmce.2010.94022
Google Scholar
[8]
Shokrieh M. M., Rafiee R., A review of the mechanical properties of isolated carbon nanotubes and carbon nanotube composites, Mech. Compos. Mater. 46 (2010) 155-172.
DOI: 10.1007/s11029-010-9135-0
Google Scholar
[9]
Chou T. -W., Gao L., Thostenson E.T., Zhang Z., Byun J-H, An assessment of the science and technology of carbon nanotube-based fibers and composites, Compos. Sci. Technol. 70 (2010) 1–19.
DOI: 10.1016/j.compscitech.2009.10.004
Google Scholar
[10]
Iijima S., Helical microtubules of graphitic carbon, Nature 354 (1991) 56-58.
DOI: 10.1038/354056a0
Google Scholar
[11]
Yu M. -F., Lourie O., Dyer M.J., Moloni K., Kelly T.F., Ruoff R.S., Strength and breaking mechanism of multiwalled carbon nanotubes under tensile load, Science 287 (2000) 637-640.
DOI: 10.1126/science.287.5453.637
Google Scholar
[12]
Liu Y.J., Chen X.L., Evaluation of effective material properties of carbon nanotube-based composites using a nanoscale representative volume element, Mech. Mater. 35 (2003) 69-81.
DOI: 10.1016/s0167-6636(02)00200-4
Google Scholar
[13]
Chen X.L., Liu Y.J., Square representative volume elements for evaluating the effective material properties of carbon nanotube-based composites, Comp. Mater. Sci. 29 (2004) 1-11.
DOI: 10.1016/s0927-0256(03)00090-9
Google Scholar
[14]
Griebel M., Hamaekers J., Molecular dynamics simulations of the elastic moduli of polymer–carbon nanotube composites, Comput. Methods Appl. Mech. Eng. 193 (2004) 1773–1788.
DOI: 10.1016/j.cma.2003.12.025
Google Scholar
[15]
Odegard G.M., Gates T., Nicholson L.M., Wise K.E., Equivalent-continuum modeling of nano-structured materials, Compos. Sci. Technol. 62 (2002) 1869-1880.
DOI: 10.1016/s0266-3538(02)00113-6
Google Scholar
[16]
Buryachenko V.A., Roy A., Lafdi K., Anderson K.L., Chellapilla S., Multi-scale mechanics of nanocomposites including interface: Experimental and numerical investigation, Compos. Sci. Technol. 65 (2005) 2435–2465.
DOI: 10.1016/j.compscitech.2005.08.005
Google Scholar
[17]
Muc A., Design and identification methods of effective mechanical properties for carbon nanotubes, Mat. Des. 31 (2010) 1671-1675.
DOI: 10.1016/j.matdes.2009.03.046
Google Scholar
[18]
Chwał M., Influence of vacancy defects on the mechanical behavior and properties of carbon nanotubes, Procedia Engineering 10 (2011) 1584-1589.
DOI: 10.1016/j.proeng.2011.04.264
Google Scholar
[19]
Morse P.M., Diatomic molecules according to the wave mechanics I: Electronic levels of the hydrogen molecular ion, Phys. Rev. 33 (1929) 932-947.
DOI: 10.1103/physrev.33.932
Google Scholar
[20]
Morse P.M., Diatomic molecules according to the wave mechanics II: Vibrational levels, Phys. Rev. 34 (1929) 57-64.
DOI: 10.1103/physrev.34.57
Google Scholar
[21]
Belytschko T., Xiao S.P., Schatz G.C., Ruoff R., Atomistic simulations of nanotube fracture, Phys. Rev. B 65 (2002) 235430.
DOI: 10.1103/physrevb.65.235430
Google Scholar
[22]
Tersoff J., New empirical model for the structural properties of silicon, Phys. Rev. Lett. 56 (1986) 632-635.
DOI: 10.1103/physrevlett.56.632
Google Scholar
[23]
Brenner D. W., Empirical potential for hydrocarbons for use in simulating the chemical vapor deposition of diamond films, Phys. Rev. B 42 (1990) 9458–9471.
DOI: 10.1103/physrevb.42.9458
Google Scholar
[24]
Jones J.E., On the determination of molecular fields-i. From the variation of the viscosity of a gas with temperature, Proc. of the Royal Society 106 (1924) 441-462.
Google Scholar
[25]
Jones J.E., On the determination of molecular fields-ii. From the equation of state of a gas, Proc. of the Royal Society 106 (1924) 463-469.
Google Scholar
[26]
Lau K. -T., Chipara M. M., Ling H. -Y., Hui D., On the effective elastic moduli of carbon nanotubes for nanocomposite structures, Composites B 35 (2004) 95-101.
DOI: 10.1016/j.compositesb.2003.08.008
Google Scholar
[27]
Frankland S.J.V., Harik V.M., Odegard G.M., Brenner D.W., Gates T.S., The stress–strain behavior of polymer–nanotube composites from molecular dynamics simulation, Compos. Sci. Technol. 63 (2003) 1655–1661.
DOI: 10.1016/s0266-3538(03)00059-9
Google Scholar
[28]
Govindjee G., Sackman J.L., On the use of continuum mechanics to estimate the properties of nanotubes, Sol. State Comm. 110 (1999) 227–230.
DOI: 10.1016/s0038-1098(98)00626-7
Google Scholar
[29]
Wagner H.D., Nanotube-polymer adhesion: a mechanics approach, Chem. Phys. Let. 361 (2002) 57-61.
Google Scholar
[30]
Odegard G.M., Gates T.S., Wise K.E., Park C., Siochi E.J., Constitutive modeling of nanotube–reinforced polymer composites, Compos. Sci. Technol. 63 (2003) 1671–1687.
DOI: 10.1016/s0266-3538(03)00063-0
Google Scholar
[31]
Hernandez E., Goze C., Bernier P., Rubio A., Elastic properties of C and BxCyNz composite nanotubes, Phys. Rev. Lett. 80 (1998) 4502–4505.
Google Scholar
[32]
Zhou X., Zhou J., and Ou-Yang Z., Strain energy and Young's modulus of single-wall carbon nanotubes calculated from electronic energy-band theory, Phys. Rev. B 62 (2000) 13692–13696.
DOI: 10.1103/physrevb.62.13692
Google Scholar
[33]
Yakobson B.I., Samsonidze G., Samsonidze G.G., Atomistic theory of mechanical relaxation in fullerene nanotubes, Carbon 38 (2000) 1675–1680.
DOI: 10.1016/s0008-6223(00)00093-2
Google Scholar
[34]
Lu J.P., Elastic properties of single and multilayered nanotubes, J. Phys. Chem. Sol. 58 (1997) 1649–1652.
Google Scholar
[35]
Pipes R.B., Hubert P., Self-consistent geometry, density and stiffness of carbon nanotubes, Proc. 17th ASC Conference, West Lafayette, (2002).
Google Scholar
[36]
Li Ch., Chou T. -W., A structural mechanics approach for the analysis of carbon nanotubes, Int. J. Solids. Struct. 40 (2003) 2487–2499.
Google Scholar
[37]
Odegard G.M., Gates T., Nicholson L.M., Wise K.E., Equivalent-continuum modeling of nano-structured materials, Compos. Sci. Technol. 62 (2002) 1869-1880.
DOI: 10.1016/s0266-3538(02)00113-6
Google Scholar
[38]
Tserpes K.I., Papanikos P., Finite element modeling of single-walled carbon nanotubes, Compos. B 36 (2005) 468–477.
DOI: 10.1016/j.compositesb.2004.10.003
Google Scholar
[39]
Papanikos P., Nikolopoulos D.D., Tserpes K.I., Equivalent beams for carbon nanotubes, Comp. Mater. Sci. 43 (2008) 345–352.
DOI: 10.1016/j.commatsci.2007.12.010
Google Scholar
[40]
Muc A., Chwał M., Vibration control of defects in carbon nanotubes, in: G. Stepan, L. Kovacs, A. Toth (Eds. ), Proc. IUTAM Symposium on Dynamics Modeling and Interaction Control in Virtual and Real Environments, 30 , 2011, pp.239-246.
DOI: 10.1007/978-94-007-1643-8_27
Google Scholar
[41]
Krishnan A., Dujardin E., Ebbesen T.W., Yianilos P.N., Treacy M.M.J., Young modulus of single-walled nanotubes, Phys. Rev. B 58 (1998) 14013(7).
DOI: 10.1103/physrevb.58.14013
Google Scholar
[42]
Seidel G.D., Lagoudas D.C., Micromechanical analysis of the effective elastic properties of carbon nanotube reinforced composites, Mech. Mat. 38 (2006) 884–907.
DOI: 10.1016/j.mechmat.2005.06.029
Google Scholar
[43]
Muc A., Jamróz M., Homogenization models for carbon nanotubes, Mech. Compos. Mater. 40 (2004) 101-106.
Google Scholar
[44]
Haque A., Ramasetty A., Theoretical study of stress transfer in carbon nanotube reinforced polymer matrix composites, Compos. Struc. 71 (2005) 68-77.
DOI: 10.1016/j.compstruct.2004.09.029
Google Scholar
[45]
Liu Y.J., Chen X.L., Evaluation of effective materials properties of carbon nanotube-based composites using a nanoscale representative volume element, Mech. Mat. 35 (2003) 69-81.
DOI: 10.1016/s0167-6636(02)00200-4
Google Scholar
[46]
Chen X.L., Liu Y.J., Square representative volume elements for evaluating the effective material properties of carbon nanotube-based composites, Comput. Mat. Sci. 29 (2004) 1-11.
DOI: 10.1016/s0927-0256(03)00090-9
Google Scholar
[47]
Li Ch., Chou T. -W., Multiscale modeling of compressive behavior of carbon nanotube/polymer composites, Compos. Sci. Technol. 66 (2006) 2409-2414.
DOI: 10.1016/j.compscitech.2006.01.013
Google Scholar
[48]
Muc A., Chwał M., Banaś A., Evaluation of mechanical properties for pristine and defective carbon nanotubes and nanocomposites, Bulletin WAT 61 (2012) 135-144.
Google Scholar
[49]
Tserpes K.I., Papanikos P., Labeas G., Pantelakis Sp.G., Multi-scale modeling of tensile behavior of carbon nanotube-reinforced composites, Theor. Appl. Fract. Mech. 49 (2008) 51–60.
DOI: 10.1016/j.tafmec.2007.10.004
Google Scholar