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IUTAM Symposium on Cellular, Molecular and Tissue Mechanics pp 215–225Cite as

Mechano-Chemical Coupling in Shell Adhesion

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Part of the book series: IUTAM Bookseries ((IUTAMBOOK,volume 16))

Abstract

The coupling between cell deformation and chemical segregation during the early stages of cell adhesion is investigated by studying the equilibrium of thin shells adhered to rigid substrates that are either flat or have topography. A finite-range adhesion law is taken to depend on the local shell-substrate separation and on the local concentrations of segregating chemical species. Nonlinear shell kinematics accounting for finite rotations of both closed spherical shells and open spherical caps are coupled with the equilibrium equations for axisymmetric deformations and linearly elastic material response. Representative solutions demonstrate the thermodynamic coupling that results in nonuniform mechanical and chemical fields, effects of substrate topography, and the influence of finite-range adhesive interactions. Strong coupling is predicted between shell deformation and the level of chemical activation which is measured by the total adhesive energy at equilibrium.

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Acknowledgments

Support of the National Science Foundation Grant CTS-04–04259, the DOE GAANN Fellowship Department of Education GAANN Grant P200A060275, and the Ashton Foundation is gratefully acknowledged.

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Authors and Affiliations

  1. Mechanical Engineering and Applied Mechanics, University of Pennsylvania, Philadelphia, PA, USA

    R. M. Springman & J. L. Bassani

Authors
  1. R. M. Springman
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  2. J. L. Bassani
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Corresponding author

Correspondence to J. L. Bassani .

Editor information

Editors and Affiliations

  1. Dept. Mechanical Engineering, University of Michigan, Ann Arbor, 48109-2121, U.S.A.

    Krishna Garikipati

  2. Dept. Mechanical Engineering, University of Michigan, Ann Arbor, 48109-2121, U.S.A.

    Ellen M. Arruda

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Springman, R.M., Bassani, J.L. (2010). Mechano-Chemical Coupling in Shell Adhesion. In: Garikipati, K., Arruda, E. (eds) IUTAM Symposium on Cellular, Molecular and Tissue Mechanics. IUTAM Bookseries, vol 16. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-3348-2_18

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