Subject to compression, elastic materials may undergo bifurcation of various kinds. A homogeneous material forms creases, whereas a bilayer consisting of a stiff film and a compliant substrate forms wrinkles. Here, we show several new types of bifurcation behavior for bilayers consisting of films and substrates of comparable elastic moduli. Depending on the ratios of moduli and thicknesses of the two materials, the critical strain for the onset of creases can be either smaller or larger than that for the onset of wrinkles. When the critical strain for the onset of creases is lower than that of wrinkles, creases can be subcritical or supercritical. When the critical strain for the onset of wrinkles is lower than that of creases, wrinkles can further channel to creases at a strain much lower than the critical strain for the onset of creases in a homogeneous material. Experiments, conducted with bilayer polydimethylsiloxane (PDMS) structures subject to compressive loading, show that the different types of bifurcation behavior agree with the theoretical predictions.
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June 2015
Research-Article
Bifurcation Diagrams for the Formation of Wrinkles or Creases in Soft Bilayers
Lihua Jin,
Lihua Jin
School of Engineering and Applied Sciences,
Kavli Institute for Nanobio Science
and Technology,
Kavli Institute for Nanobio Science
and Technology,
Harvard University
,Cambridge, MA 02138
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Anesia Auguste,
Anesia Auguste
Department of Polymer Science and Engineering,
University of Massachusetts
,Amherst, MA 01003
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Ryan C. Hayward,
Ryan C. Hayward
1
Department of Polymer Science and Engineering,
e-mail: hayward@umass.edu
University of Massachusetts
,Amherst, MA 01003
e-mail: hayward@umass.edu
1Corresponding authors.
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Zhigang Suo
Zhigang Suo
1
School of Engineering and Applied Sciences,
Kavli Institute for Nanobio Science
and Technology,
e-mail: suo@seas.harvard.edu
Kavli Institute for Nanobio Science
and Technology,
Harvard University
,Cambridge, MA 02138
e-mail: suo@seas.harvard.edu
1Corresponding authors.
Search for other works by this author on:
Lihua Jin
School of Engineering and Applied Sciences,
Kavli Institute for Nanobio Science
and Technology,
Kavli Institute for Nanobio Science
and Technology,
Harvard University
,Cambridge, MA 02138
Anesia Auguste
Department of Polymer Science and Engineering,
University of Massachusetts
,Amherst, MA 01003
Ryan C. Hayward
Department of Polymer Science and Engineering,
e-mail: hayward@umass.edu
University of Massachusetts
,Amherst, MA 01003
e-mail: hayward@umass.edu
Zhigang Suo
School of Engineering and Applied Sciences,
Kavli Institute for Nanobio Science
and Technology,
e-mail: suo@seas.harvard.edu
Kavli Institute for Nanobio Science
and Technology,
Harvard University
,Cambridge, MA 02138
e-mail: suo@seas.harvard.edu
1Corresponding authors.
Contributed by the Applied Mechanics Division of ASME for publication in the JOURNAL OF APPLIED MECHANICS. Manuscript received March 23, 2015; final manuscript received April 14, 2015; published online April 30, 2015. Editor: Yonggang Huang.
J. Appl. Mech. Jun 2015, 82(6): 061008 (11 pages)
Published Online: June 1, 2015
Article history
Received:
March 23, 2015
Revision Received:
April 14, 2015
Online:
April 30, 2015
Citation
Jin, L., Auguste, A., Hayward, R. C., and Suo, Z. (June 1, 2015). "Bifurcation Diagrams for the Formation of Wrinkles or Creases in Soft Bilayers." ASME. J. Appl. Mech. June 2015; 82(6): 061008. https://doi.org/10.1115/1.4030384
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