Spatially localized instability of a biaxially stressed solid and formation of island patternsJérôme Colin
Laboratoire de Métallurgie Physique, UMR 6630 du CNRS, Université de Poitiers - BP 30179, 86962 Futuroscope Cedex, France
received 29 August 2006; accepted in final form 15 November 2006; published January 2007
published online 12 January 2007
The stability with respect to a spatially localized fluctuation of the free surface of a biaxially stressed solid has been investigated by means of a static calculation of energy. The variations with respect to the flat configuration of the surface and elastic energies have been determined when a particular fluctuation built with the help of 1D Mexican hat wavelet is introduced onto the free surface. The effect of stress on the shape of the fluctuation has been characterized and the possibility of development of one-dimensional, axi and non-symmetric imperfections that may evolve into island patterns has been finally discussed.
62.20.-x - Mechanical properties of solids .
68.35.-p - Solid surfaces and solid-solid interfaces: Structure and energetics .
68.65.-k - Low-dimensional, mesoscopic, and nanoscale systems: structure and non-electronic properties .
© Europhysics Letters Association 2007