Pattern selection in biaxially stressed solids.
We analyze the morphological instability of the surface of a solid which is subject to a biaxial stress. The stability calculation reveals a new favored pattern: a diamond morphology. This occurs if the stress is tensile in one direction and compressive in the orthogonal one and the ratio exceeds a certain value. A nonlinear analysis shows that the bifurcation is subcritical and hints to a nontrivial competition between tilted stripes and diamonds. This study opens a new line of inquiries in the field of stress-induced pattern selection.
Berger
Patrick
P
Laboratoire de Spectrométrie Physique GREPHE, Université Joseph Fourier (CNRS), Grenoble I, BP 87, 38402 Saint Martin d'Hères, France.
Kohlert
Peter
P
Kassner
Klaus
K
Misbah
Chaouqi
C