Buckling cascade of free-standing mesoscopic beamsS. M. Carr, W. E. Lawrence and M. N. Wybourne
Department of Physics and Astronomy, Dartmouth College - Hanover, NH 03755, USA
received 30 June 2004; accepted in final form 20 January 2005
published online 18 February 2005
We have observed a striking change in the static equilibrium shape of free-standing mesoscopic buckled beams as a function of the length-to-width aspect ratio. At low values of the aspect ratio the shape is well described by classical Euler buckling. At higher values the buckled shapes become more complex and are well described by a superposition of buckling modes. The data are consistent with a mode-coefficient sum rule obtained from a nonlinear elastic field theory. Further, for beams of low aspect ratio the theory can predict the equilibrium shape of the buckling, while at high aspect ratios the lower bound on the buckling shape function is obtained.
46.32.+x - Static buckling and instability.
46.70.-p - Application of continuum mechanics to structures.
68.65.-k - Low-dimensional, mesoscopic, and nanoscale systems: structure and nonelectronic properties.
© EDP Sciences 2005