Volume 77, Number 4, February 2007
Article Number 44002
Number of page(s) 4
Section Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics
Published online 02 February 2007
EPL, 77 (2007) 44002
DOI: 10.1209/0295-5075/77/44002

Surface buckling of a bending microbeam due to surface elasticity

G. F. Wang1, X. Q. Feng2 and S. W. Yu2

1  MOE Key Laboratory for Strength and Vibration, Department of Engineering Mechanics Xi'an Jiaotong University - Xi'an 710049, PRC
2  Department of Engineering Mechanics, Tsinghua University - Beijing 100084, PRC

received 20 November 2006; accepted in final form 13 December 2006; published February 2007
published online 2 February 2007

In the present letter, we studied the surface buckling of a bending beam using the surface elasticity theory, and the corresponding buckling wave number was obtained analytically. It is found that surfaces with positive surface elastic modulus may buckle under compression, while surfaces with negative surface elastic modulus are possible to wrinkle irrespective of the sign of surface strain. By this method, various surface buckling phenomena happened in thin films or carbon nanotubes can be elucidated.

46.32.+x - Static buckling and instability.
68.35.Gy - Mechanical properties; surface strains.
47.54.-r - Pattern selection; pattern formation.

© Europhysics Letters Association 2007