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Deformation of adhering elastic tubes

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Abstract.

Deformation of an elastic tube adhering onto a substrate due to van der Waals attractive force is investigated by means of numerical minimization and scaling theory. The onset of the deformation is determined by the critical value of \(C_{\rm b}/(\epsilon N^2)\), where \(C_{\rm b}\) is the bending constant, \(\epsilon\) is the depth of the van der Waals potential, and N is the size of the tube. For a significantly deformed tube, we found a scaling behavior of the bending energy, which is explained within the shell theory.

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Authors and Affiliations

  1. Department of Chemistry, Faculty of Science, Tokyo Metropolitan University, 192-0397, Tokyo, Japan

    S. Komura, K. Tamura & T. Kato

Authors
  1. S. Komura
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  2. K. Tamura
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  3. T. Kato
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Corresponding author

Correspondence to S. Komura.

Additional information

Received: 11 September 2003, Published online: 2 March 2004

PACS:

68.35.-p Solid surfaces and solid-solid interfaces: Structure and energetics - 68.55.-a Thin film structure and morphology - 81.07.De Nanotubes

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Komura, S., Tamura, K. & Kato, T. Deformation of adhering elastic tubes. Eur. Phys. J. E 13, 73–77 (2004). https://doi.org/10.1140/epje/e2004-00041-4

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  • DOI: https://doi.org/10.1140/epje/e2004-00041-4

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