Buckling cascade of free-standing mesoscopic beams

Europhysics Letters

Volumn 69, Issue 6, 2005, Pages 952-958

  Carr, S M ^a   Lawrence, W E ^a   Wybourne, M N ^a  

^a Dartmouth College   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 15944426104     PISSN: 02955075     EISSN: None     Source Type: Journal    
DOI: 10.1209/epl/i2004-10442-8     Document Type: Article

References (23)

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16. Provided of course that the elastic limit is not exceeded.
17. Carr S. M. and Wybourne M. N., submitted to IEEE Trans. Nanotechnol.
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19. Carr S. M., Lawrence W. E. and Wybourne M. N., Phys. Rev. B, 64 (2001) 220101(R).
20. Retaining all orders of the bending energy while neglecting the nonlinear contribution to the elastic energy results in the equation for elastica, first investigated by Euler in ref. [1]. Here, however, the nonlinear elastic energy dominates, resulting in the sum rule eq. (3).
21. Lawrence W. E., Physica B, 316-317 (2002) 448.
22. 1) <1, which is the case when ε > ε1 and higher-order biasing components vanish.
23. n shown in fig. 2 are the physical displacements of y(x) in the modes n. This statement is exact for the even-symmetry modes, and valid to within a few percent for odd-symmetry modes, if in the latter case one considers the peak-to-peak displacements.