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This and the next slide are from:
Shuodao Wang,1 Jizhou Song,2 Dae-Hyeong Kim,3 Yonggang Huang,1,4 and
John A. Rogers2,3,5
1Department of Mechanical Engineering, Northwestern University, Evanston, Illinois 60208, USA
2Department of Mechanical Science and Engineering, University of Illinois at Urbana-Champaign, Illinois 61801, USA
3Department of Materials Science and Engineering, Beckman Institute, and Frederick Seitz Materials Research Laboratory, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801, USA
4Department of Civil and Environmental Engineering, Northwestern University, Evanston, Illinois 60208, USA
5Department of Chemistry, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801, USA
“Local versus global buckling of thin films on elastomeric substrates”, Applied Physics Letters, Vol. 93, 023126, 2008, DOI: 10.1063/1.2956402
ABSTRACT: Local buckling can form microcorrugations in thin films on elastomeric substrates, to yield an effective type of mechanical stretchability in otherwise rigid, brittle materials, with many application possibilities. For large area films or relatively thin substrates, however, global Euler buckling, as opposed to local buckling, can be observed in experiments. This paper describes analytically the mechanics of local and global buckling of one-dimensional thin films or two-dimensional thin membranes on elastomeric substrates. The critical condition separating these two buckling modes is obtained analytically, and it agrees well with experiments and numerical simulations.
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