We investigate the dynamics of the classical Euler buckling of compressed s
olid membranes. We relate the membrane buckling dynamics to phase ordering
phenomena, Membranes develop a wavelike pattern whose wavelength grows, via
coarsening, as a power of time. Evolving membranes are similar to rough gr
owing surfaces ("growing interfaces") whose roughness grow's as ct power of
time. Membrane buckling dynamics is characterized by a distinct scaling be
havior not found in other coarsening phenomena. [S0031-9007(99)08844-4].