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Derivation of
nonlinear shell models combining shear and flexure:
application to biological membranes
Olivier Pantz and Karim Trabelsi
Vol. 3 (2015), No. 2, 101–138
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Abstract |
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Biological membranes are often idealized as incompressible elastic surfaces whose strain energy only depends on their mean curvature and possibly on their shear. We show that this type of model can be derived using a formal asymptotic method by considering biological membranes to be thin, strongly anisotropic, elastic, locally homogeneous bodies. |
Keywords
shell, nonlinear elasticity, Helfrich, red blood cell,
vesicle
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Mathematical Subject Classification 2010
Primary: 74K20, 74K25, 74B20
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Milestones
Received: 24 July 2012
Revised: 6 June 2014
Accepted: 9 June 2014
Published: 16 May 2015
Communicated by Gilles A. Francfort
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Authors |
| Olivier Pantz | |
| Centre de Mathématiques
Appliquées École Polytechnique Route de Saclay 91128 Palaiseau CEDEX France |
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| Karim Trabelsi | |
| Direction du la Recherche et de
l’Innovation Institut Polytechnique des Sciences Avancées 5-9 rue Maurice Grandcoing 94200 Ivry-sur-Seine France |
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