It is shown that the first buckling mode corresponding to the lowest buckling force of a plane monomolecular layer glued to a substrate may not be smooth. The resulting saw-like configuration of neighboring molecules leads to corrugation on a molecular level and we name such a phenomenon nanobuckling. A criterion governing this smooth—not smooth transition is derived. The model presented may also describe surface instability of a perfect crystal due to contraction.
Issue Section:
Technical Papers
1.
Falvo
M. R.
Clary
G. J.
Taylor
R. M.
Chi
V.
Brooks
F. P.
Washburn
S.
Superfine
R.
1997
, “Bending and buckling of carbon nanotubes under large strain
,” Nature
, Vol. 389
, pp. 582
–584
.2.
Fang
W.
Wickert
J. A.
1994
, “Post buckling of micromachined beams
,” J. Micromech. Microeng.
, Vol. 4
, pp. 116
–122
.3.
Franc
F. C.
van der Merwe
J. H.
1949
, “One-dimensional dislocations. I. Static theory
,” Proc. R. Soc. Lond.
, Vol. A198
, pp. 205
–216
.4.
Gyalog
T.
Thomas
H.
1997
, “Friction between atomically flat surfaces
,” Europhys. Lett.
, Vol. 37
, pp. 195
–200
.5.
Simitses, G. J., 1967, An Introduction to the Elastic Stability of Structures, Prentice-Hall, Englewood Cliffs, NJ.
6.
Treacy
M. M. J.
Ebbesen
T. W.
Gibson
J. M.
1996
, “Exceptionally high Young’s modulus observed for individual carbon nanotubes
,” Nature
, Vol. 381
, pp. 678
–680
.7.
Weiss
M.
Elmer
F. J.
1996
, “Dry friction in the Frenkel-Kontorova-Tomlinson model: Static Properties
,” Phys. Rev. B
, Vol. 53
, p. 7539
7539
.8.
Yakobson
B. I.
Richard
E. S.
1997
, “Fullerene nanotubes: C1,000,000 and beyond
,” American Scientist
, Vol. 85
, pp. 324
–337
.9.
Yakobson
B. I.
Brabec
C. J.
Bernholc
J.
1996
, “Nanomechanics of carbon tubes: Instabilities beyond linear response
,” Phys. Rev. Letters’
, Vol. 76
, pp. 2511
–2514
.
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