Journal
NATURE MATERIALS
Volume 14, Issue 3, Pages 337-342Publisher
NATURE PUBLISHING GROUP
DOI: 10.1038/NMAT4202
Keywords
-
Categories
Funding
- Swiss National Science Foundation [148743]
- National Science Foundation, CAREER [CMMI-1351449]
- MIT Solomon Buchsbaum Award
- Div Of Civil, Mechanical, & Manufact Inn
- Directorate For Engineering [1351449] Funding Source: National Science Foundation
Ask authors/readers for more resources
Symmetry-breaking transitions associated with the buckling and folding of curved multilayered surfaces-which are common to a wide range of systems and processes such as embryogenesis, tissue differentiation and structure formation in heterogeneous thin films or on planetary surfaces-have been characterized experimentally. Yet owing to the nonlinearity of the underlying stretching and bending forces, the transitions cannot be reliably predicted by current theoretical models. Here, we report a generalized Swift-Hohenberg theory that describes wrinkling morphology and pattern selection in curved elastic bilayer materials. By testing the theory against experiments on spherically shaped surfaces, we find quantitative agreement with analytical predictions for the critical curves separating labyrinth, hybrid and hexagonal phases. Furthermore, a comparison to earlier experiments suggests that the theory is universally applicable to macroscopic and microscopic systems. Our approach builds on general differential-geometry principles and can thus be extended to arbitrarily shaped surfaces.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available