Surface wrinkling behavior of finite circular plates

Abstract

Osmotically-driven surface buckling is a simple method for introducing controlled micro-and nanoscale topography onto material surfaces. To achieve a fundamental understanding of the buckling process and a library of the equilibrium and kinetically-trapped structures that can be attained, we observe the growth processes of a buckling silicate plate rigidly attached to an elastomeric substrate. The primary variable is the lateral extent of the silicate plate which is shown to dictate the location of buckle initiation, and thus the resulting morphology of the final buckled structure. We present a model to qualitatively describe the radial stress profile within the plate, based on both the diffusion-controlled local osmotic stress and the ability of the plate to transfer this stress to the relatively unconfined region surrounding it. These results and insights provide lessons for controlling the order and arrangement of buckled microstructures.

Periodic patterns and energy states of buckled films on compliant substrates

“…, thickness ~ 3mm) whose surfaces have been modified using an ultravioletozone (UVO) oxidation process to produce surface layers, or films, with increased stiffness relative to the underlying non-modified elastomer substrate (Breid and Crosby, 2009;Breid and Crosby, 2010). Although the film modulus and thickness are not known precisely, approximate values have been estimated by wrinkle wavelength measurements (Chan and Crosby, 2006) and compared with published reflectivity measurements on similar materials (Efimenko et al 2002;Mills et al 2008).…”

“…Due to processing, thermal expansion mismatch, or differential expansion due moisture changes, thin metal or ceramic films on elastomer or polymer substrates often experience equi-biaxial in-plane compression and buckle into intriguing periodic mode patterns (e.g., Bowden et al, 1998;Huck et al, 2000;Breid and Crosby, 2009). …”

Effect of stress state on wrinkle morphology

“…Theoretical calculations of the energy of deformation under equibiaxial stress suggest the formation of square 'checkerboard' arrays, 24,28 while experiments favor a hexagonal packing of dimples. [29][30][31] However, it is important to note that the applied stress in swelling-driven wrinkle experiments has not yet been quantified; therefore, quantitative comparison between experiments and theory has been not possible.…”

Analysis of a Compressed Thin Film Bonded to a Compliant Substrate: The Energy Scaling Law

“…Systems where the misfit is associated with a diffusive effect often form structures other than labyrinths and herringbones, see e.g. [9,33,37]; perhaps the diffusive kinetics introduces a different notion of "local minimum. "…”