A theoretical model is built for a micrometer size cylindrical shell adhering to a rigid surface in the presence of an electrolyte. In the presence of surface electrostatic double layers and van der Waals attraction according to the Derjaguin–Landau–Verwey–Overbeek (DLVO) theory, the shell deforms and settles in either the primary (1min) or secondary (2min) energy minimum depending on whether it has sufficient energy to overcome the repulsive energy barrier. The adhesion-detachment mechanics are constructed and solved computationally, yielding the relations between applied load, deformed profile, and mechanical stress distribution in the shell. The critical compressive load needed for transition from 2min to 1min is found for several repulsive barrier heights. At a critical pull-off tensile force, shell in the 1min detaches spontaneously at a nonzero contact area, but the one in the 2min detaches smoothly with the contact shrinking to a line contact. The model is relevant to bacterial adhesion in environmental engineering and microelectromechanical systems for microfluidics applications.
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Industrial Engineering,
Northeastern University,
Environmental Engineering,
Northeastern University,
Industrial Engineering,
Northeastern University,
e-mail: ktwan@coe.neu.edu
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November 2013
Research-Article
Adhesion of a Cylindrical Shell in the Presence of DLVO Surface Potential
Sinan Müftü,
Industrial Engineering,
Northeastern University,
Sinan Müftü
Department of Mechanical and
Industrial Engineering,
Northeastern University,
Boston, MA 02115
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April Gu,
Environmental Engineering,
Northeastern University,
April Gu
Department of Civil and
Environmental Engineering,
Northeastern University,
Boston, MA 02115
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Kai-tak Wan
Industrial Engineering,
Northeastern University,
e-mail: ktwan@coe.neu.edu
Kai-tak Wan
1
Department of Mechanical and
Industrial Engineering,
Northeastern University,
Boston
, MA 02115e-mail: ktwan@coe.neu.edu
1Corresponding author. Present address: Room 334, Snell Engineering Center, 360 Huntington Avenue, Boston, MA 02115.
Search for other works by this author on:
Sinan Müftü
Department of Mechanical and
Industrial Engineering,
Northeastern University,
Boston, MA 02115
April Gu
Department of Civil and
Environmental Engineering,
Northeastern University,
Boston, MA 02115
Kai-tak Wan
Department of Mechanical and
Industrial Engineering,
Northeastern University,
Boston
, MA 02115e-mail: ktwan@coe.neu.edu
1Corresponding author. Present address: Room 334, Snell Engineering Center, 360 Huntington Avenue, Boston, MA 02115.
Manuscript received August 13, 2012; final manuscript received February 20, 2013; accepted manuscript posted March 16, 2013; published online August 19, 2013. Assoc. Editor: Anand Jagota.
J. Appl. Mech. Nov 2013, 80(6): 061007 (7 pages)
Published Online: August 19, 2013
Article history
Received:
August 13, 2012
Revision Received:
February 20, 2013
Accepted:
March 16, 2013
Citation
Shi, J., Müftü, S., Gu, A., and Wan, K. (August 19, 2013). "Adhesion of a Cylindrical Shell in the Presence of DLVO Surface Potential." ASME. J. Appl. Mech. November 2013; 80(6): 061007. https://doi.org/10.1115/1.4023960
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