laboratoire de physique statistique
 
 
laboratoire de physique statistique

Publications

Rechercher
Martine BEN AMAR 


SOFT MATTER 


2
P U B L I C A T I O N S

S E L E C T I O N N E R
P A R M I :



 
2013
Theoretical analysis of growth or swelling wrinkles on constrained soft slabs - Jia, Fei and Ben Amar, Martine
SOFT MATTER 98216-8226 (2013) 
LPS


Abstract : Growth or swelling of soft slabs attached to a rigid substrate generates large compressive stresses at their surfaces. When the stresses exceed a critical value, the smooth surface becomes unstable. For an in-plane isotropic material, a nonlinear three dimensional analysis is employed to ascertain the energy in the buckled state for different modes: stripes, squares and hexagons. When increasing the growth control parameter, we show that hexagonal patterns with a dimple at the center minimize the elastic energy and will be the dominant mode if the mode with minimal energy is the most likely to be observed. The growth of an anisotropic material reinforced by fibers is also considered. The results provide a way to understand surface wrinkling patterns induced by equi-biaxial growth or swelling of elastic layers, with possible applications for micro-patterns fabrication through an appropriate fiber arrangement.
 
2012
Peristaltic patterns for swelling and shrinking of soft cylindrical gels - Ciarletta, Pasquale and Ben Amar, Martine
SOFT MATTER 81760-1763 (2012) 
LPS


Abstract : We propose a variational method for determining the surface patterns of cylindrical gels for both swelling and shrinking. Exact solutions are calculated for the initial stages of such peristaltic instabilities. The morphology and the formation mechanisms depend on a competition between bulk elastic energy and surface tension.