Recent experiments in which arrays of compliant fibrils are compressed axially against a rigid surface and then released have shown that there is load-displacement hysteresis during this process, accompanied by buckling and unbuckling of the fibrils. Furthermore, the adhesive performance of the system is decreased by such prior buckling. We present a model describing the buckling and postbuckling characteristics of a fibril with an aspect ratio of 10 or greater. The possibility during buckling of partial detachment of the end of the fibril is taken into account. The results are presented and discussed for both load and displacement control and the load-displacement hysteresis is identified. It is found that due to instabilities sudden spreading and shrinkage of the adhered area at the end of the fibril can accompany the hysteresis. Numerical results are provided to substantiate the findings and possible reasons for the observed influence of buckling on adhesive performance are reviewed.
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e-mail: Sebastian.Stark1@tu-dresden.de
e-mail: begley@engr.ucsb.edu
e-mail: rmcm@engineering.ucsb.edu
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July 2013
Research-Article
The Buckling and Postbuckling of Fibrils Adhering to a Rigid Surface
Sebastian Stark,
e-mail: Sebastian.Stark1@tu-dresden.de
Sebastian Stark
1
Institute of Solid Mechanics
,Technische Universität Dresden
,01062 Dresden
, Germany
e-mail: Sebastian.Stark1@tu-dresden.de
1Corresponding author.
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Matthew R. Begley,
e-mail: begley@engr.ucsb.edu
Matthew R. Begley
Department of Mechanical Engineering
,University of California
,Santa Barbara, CA 93106
e-mail: begley@engr.ucsb.edu
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Robert M. McMeeking
e-mail: rmcm@engineering.ucsb.edu
Robert M. McMeeking
Department of Mechanical Engineering
,University of California
,Santa Barbara, CA 93106
;Materials Department
,University of California
,Santa Barbara, CA 93106
;INM-Leibniz Institute for New Materials
,Campus D2 2
,66123 Saarbrücken
, Germany
;School of Engineering
,University of Aberdeen
,King's College
,Aberdeen AB24 3UE
, UK
e-mail: rmcm@engineering.ucsb.edu
Search for other works by this author on:
Sebastian Stark
Institute of Solid Mechanics
,Technische Universität Dresden
,01062 Dresden
, Germany
e-mail: Sebastian.Stark1@tu-dresden.de
Matthew R. Begley
Department of Mechanical Engineering
,University of California
,Santa Barbara, CA 93106
e-mail: begley@engr.ucsb.edu
Robert M. McMeeking
Department of Mechanical Engineering
,University of California
,Santa Barbara, CA 93106
;Materials Department
,University of California
,Santa Barbara, CA 93106
;INM-Leibniz Institute for New Materials
,Campus D2 2
,66123 Saarbrücken
, Germany
;School of Engineering
,University of Aberdeen
,King's College
,Aberdeen AB24 3UE
, UK
e-mail: rmcm@engineering.ucsb.edu
1Corresponding author.
Manuscript received January 31, 2012; final manuscript received November 8, 2012; accepted manuscript posted November 28, 2012; published online May 23, 2013. Assoc. Editor: Lawrence A. Bergman.
J. Appl. Mech. Jul 2013, 80(4): 041022 (11 pages)
Published Online: May 23, 2013
Article history
Received:
January 31, 2012
Revision Received:
November 8, 2012
Accepted:
November 28, 2012
Citation
Stark, S., Begley, M. R., and McMeeking, R. M. (May 23, 2013). "The Buckling and Postbuckling of Fibrils Adhering to a Rigid Surface." ASME. J. Appl. Mech. July 2013; 80(4): 041022. https://doi.org/10.1115/1.4023107
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