Evaluation of the Structural Properties of Single-Walled Carbon Nanotubes Using a Dynamic Continuum Modeling Method

REFERENCES

• Iijima , S. 1991 . Helical microtubules of graphitic carbon . Nature , 354 : 56 – 58 .
   Web of Science ®Google Scholar
• Thostenson , E. T. , Ren , Z. and Chou , T. W. 2001 . Advances in the science and technology of carbon nanotubes and their composites: a review . Composites Science and Technology , 61 : 1899 – 1912 .
   Web of Science ®Google Scholar
• Terrones , M. 2003 . Science and technology of the twenty-first century: Synthesis, properties and applications of nanotubes . Annual Review of Materials Research , 33 : 419 – 501 .
   Web of Science ®Google Scholar
• Li , C. and Chou , T. W. 2003 . “Single-walled carbon nanotubes as ultrahigh frequency nanomechanical resonators,” . Physical Review B , 68 073405
   Web of Science ®Google Scholar
• Laborde-Lahoz , P. , Maser , W. , Mart'inez , T. , Benito , A. , Seeger , T. , Cano , P. , Guzmán de Villoria , R. and Miravete , A. 2005 . Mechanical characteristic of carbon nanotube composite materials . Mechanics of Advanced Materials and Structures , 12 : 13 – 19 .
   Web of Science ®Google Scholar
• Dresselhaus , M. S. , Dresselhaus , G. and Saito , R. 1995 . Physics of carbon nanotubes . Carbon , 33 : 883 – 891 .
   Web of Science ®Google Scholar
• Iijima , S. , Brabec , C. , Maiti , A. and Bernholc , J. 1996 . Structural flexibility of carbon nanotubes . Journal of Chemical Physics , 104 : 2089 – 2092 .
   Web of Science ®Google Scholar
• Yakobson , B. I. , Brabec , C. J. and Bernholc , J. 1996 . Nanomechanics of carbon tubes: instabilities beyond linear response . Physical Review Letters , 76 : 2511 – 2514 .
   PubMed Web of Science ®Google Scholar
• Yakobson , B. I. , Campbell , M. P. , Brabec , C. J. and Bernholc , J. 1997 . High strain rate fracture and C-chain unraveling in carbon nanotubes . Computational Materials Science , 8 : 341 – 348 .
   Web of Science ®Google Scholar
• Cornwell , C. F. and Wille , L. T. 1997 . Elastic properties of single-walled carbon nanotubes in compression . Solid State Communications , 101 : 555 – 558 .
   Web of Science ®Google Scholar
• Lu , J. P. 1997 . Elastic properties of carbon nanotubes and nanoropes . Physical Review Letters , 79 : 1297 – 300 .
   Web of Science ®Google Scholar
• Hernández , E. , Goze , C. , Bernier , P. and Rubio , A. 1998 . “Elastic properties of C and BxCyNz composite nanotubes,” . Physical Review Letters , 80 : 4502 – 4505 .
   Web of Science ®Google Scholar
• Sinnott , S. B. , Shenderova , O. A. , White , C. T. and Brenner , D. W. 1998 . “Mechanical properties of nanotubes fibers and composites determined from theoretical calculations and simulations,” . Carbon , 36 : 1 – 9 .
   Web of Science ®Google Scholar
• Sánchez-Portal , D. , Artacho , E. , Soler , J. M. , Rubio , A. and Ordejón , P. 1999 . “Ab initio structural, elastic, and vibrational properties of carbon nanotubes,” . Physical Review B , 59 : 12678 – 12688 .
   Web of Science ®Google Scholar
• Jin , Y. and Yuan , F. G. 2003 . Simulation of elastic properties of single-walled carbon nanotubes . Composites Science and Technology , 63 : 1507 – 1515 .
   Web of Science ®Google Scholar
• Govindjee , S. and Sackman , J. L. 1999 . One the use of continuum mechanics to estimate the properties of nanotubes . Solid State Communications , 110 : 227 – 230 .
   Web of Science ®Google Scholar
• Ru , C. Q. 2000 . “Effective bending stiffness of carbon nanotubes,” . Physical Review B , 62 : 9973 – 9976 .
   Web of Science ®Google Scholar
• Odegard , G. M. , Gates , T. S. , Nicholson , L. M. and Wise , K. E. 2002 . Equivalent-continuum modeling of nano-structured materials . Composites Science and Technology , 62 : 1869 – 1880 .
   Web of Science ®Google Scholar
• Wang , Q. 2004 . Effective in-plane stiffness and bending rigidity of armchair and zigzag carbon nanotubes . International Journal of Solids and Structures , 41 : 5451 – 5461 .
   Web of Science ®Google Scholar
• Leung , A. Y. T. , Guo , X. , He , X. Q. and Kitipornchai , S. 2005 . “A continuum model for zigzag single-walled carbon nanotubes,” . Applied Physics Letters , 86 083110
   Web of Science ®Google Scholar
• Li , C. and Chou , T. W. 2003 . A structural mechanics approach for the analysis of carbon nanotubes . International Journal of Solids and Structures , 40 : 2487 – 2499 .
   Web of Science ®Google Scholar
• Han , Q. , Yao , X.-H. and Li , L.-F. 2006 . “Theoretical and numerical study of torsional buckling of multiwall carbon nanotubes,” . Mechanics of Advanced Materials and Structures , 13 ( 3 ) : 329 – 337 .
   Google Scholar
• Wang , Q. , Duan , W. H. , Liew , K. M. and He , X. Q. 2007 . “Inelastic buckling of carbon nanotubes,” . Applied Physics Letters , 90 033110
   Web of Science ®Google Scholar
• Huang , Y. , Wu , J. and Hwang , K. C. 2006 . “Thickness of graphene and single-wall carbon nanotubes,” . Physical Review B , 74 : 245413
   Web of Science ®Google Scholar
• Ugural , A. C. 1988 . Stresses in Plates and Shells , New York : McGraw-Hill .
   Google Scholar
• Rappe , A. K. , Casewit , C. J. , Colwell , K. S. , Goddard , W. A. III and Skiff , W. M. 1992 . UFF, a full periodic table force field for molecular mechanics and molecular dynamics simulations . Journal of the American Chemical Society , 114 : 10024 – 10035 .
   Web of Science ®Google Scholar
• Cornell , W. D. , Cieplak , P. , Bayly , C. I. , Gould , I. R. , Merz , K. M. Jr. , Ferguson , D. M. , Spellmeyer , D. C. , Fox , T. , Caldwell , J. W. and Kollman , P. A. 1995 . A second generation force field for the simulation of proteins, nucleic acids, and organic molecules . Journal of the American Chemical Society , 117 : 5179 – 5197 .
   Web of Science ®Google Scholar
• Noor , A. K. , Anderson , M. S. and Green , W. H. 1978 . Continuum models for beam-and platelike lattice structures . AIAA Journal , 16 : 1219 – 1228 .
   Web of Science ®Google Scholar
• Lee , U. 1990 . Dynamic continuum modeling of beamlike space structures using finite-element matrices . AIAA Journal , 28 : 725 – 731 .
   Web of Science ®Google Scholar
• Petyt , M. 1990 . Introduction to Finite Element Vibration Analysis , Cambridge : Cambridge University Press .
   Google Scholar
• Langhaar , H. L. 1962 . Energy Methods in Applied Mechanics , New York : Wiley .
   Google Scholar