Homogenization technique of discrete atoms into smeared continuum

International Journal of Mechanical Sciences

Volumn 48, Issue 12, 2006, Pages 1352-1359

  Kwon, Y W ^a   Manthena, C ^b  

^a Naval Postgraduate School ^*  (United States)

^b Southern Illinois University at Carbondale   (United States)

Author keywords

Atomic model; Carbon nanotube; Continuum model; Homogenization; Static analysis; Vibration

Indexed keywords

CARBON NANOTUBES; COMPUTATIONAL METHODS; FINITE ELEMENT METHOD; VIBRATION CONTROL;

ATOMIC MODEL; CONTINUUM MODEL; HOMOGENIZATION; STATIC ANALYSIS;

CONTINUUM MECHANICS;

EID: 33749239958     PISSN: 00207403     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijmecsci.2006.07.014     Document Type: Article

References (20)

1. Tersoff J., and Ruoff R.S. Structural properties of a carbon-nanotube crystal. Physical Review Letters 75 5 (1994) 676-679
2. Sokhan V.P., Nicholson D., and Quirke N. Phonon spectra in model carbon nanotubes. Journal of Chemical Physics 113 5 (2000) 2007-2015
3. Srivastava D., Wei C., and Cho K. Nanomechanics of carbon nanotubes and composites. ASME Applied Mechanics Review 56 2 (2003) 215-230
4. Kwon Y.W., Manthena C., Oh J.J., and Srivastava D. Vibrational characteristics of carbon nanotubes as nano-mechanical resonators. Journal of Nanoscience and Nanotechnology 5 5 (2005) 703-712
5. Srivastava D, Menon M, Cho K. Computational nanotechnology with carbon nanotubes and fullerenes. Computing in engineering and sciences (CISE), an IEEE and APS publication; July/August 2001. p. 42-55.
6. Cuitino A.M., Stainier L., Wang G., Strachan A., Cagin T., Goddard III W.A., et al. A Multi-scale approach for modeling crystalline solids. Journal of Computer-Aided Materials Design 8 (2001) 127-149
7. Kwon Y.W. Multi-scale modeling of mechanical behavior of polycrystalline materials. Journal of Computer-Aided Materials Design 11 1 (2005) 43-57
8. Wagner G.J., and Liu W.K. Coupling of atomistic and continuum simulations using a bridging scale decomposition. Journal of Computational Physics 190 (2003) 249-274
9. Xiao S.P., and Belytschko T. A bridging domain method for coupling continua with molecular dynamics. Computational Methods in Applied Mechanics and Engineering 193 (2004) 1645-1669
10. Kwon Y.W. Discrete atomic and smeared continuum modeling for static analysis. Engineering Computations 20 8 (2003) 964-978
11. Li C., and Chou T- W. A structural mechanics approach for the analysis of carbon nanotubes. International Journal of Solids and Structures 40 (2003) 2487-2499
12. Krishnan A., Dujardin E., Ebbesen T.W., Yianilos P.N., and Treacy M.M.J. Young's modulus of single-walled nanotubes. Physical Review B 58 20 (1998) 14013-14019
13. Arroyo M., and Belytschko T. Finite element methods for the nonlinear mechanics of crystalline sheets and nanotubes. International Journal for Numerical Methods in Engineering 59 (2004) 419-456
14. Noor A.K. Continuum modeling for repetitive lattice structures. Applied Mechanics Review 41 7 (1988) 285-296
15. Sun C.T., and Liebbe S.W. Global-local approach to solving vibration of large truss structures. AIAA Journal 28 2 (1990) 725-731
16. Burgardt B., and Cartraud P. Continuum modeling of beamlike lattice trusses using averaging methods. Computers and Structures 73 (1999) 267-279
17. Abrate S. Continuum modeling of lattice structures. Shock and Vibration 17 1 (1985) 815-821
18. Girifalco L.A., and Weizer V.G. Application of the Morse potential function to cubic metals. Physical Review 114 3 (1959) 687-690
19. Hoagland R.G., Foiles S.M., and Baskes M.I. An atomic model crack tip deformation in aluminium using an embedded atom potential. Journal of Material Research 5 2 (1990) 313-324
20. Brenner D.W. Empirical potential for hydrocarbons for use in simulating the chemical vapor deposition of diamond films. Physical Review B 42 15 (1990) 9458-9471