Derivation of nonlinear shell models combining shear and flexure: application to biological membranes

Olivier Pantz 1, 2 Karim Trabelsi 3, 4
1 DeFI - Shape reconstruction and identification
Inria Saclay - Ile de France, CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique
3 Analyse et synthèse sonores [Paris]
STMS - Sciences et Technologies de la Musique et du Son
Abstract : Biological membranes are often idealized as incompressible elastic surfaces whose strain energy only depends on their mean curvature and pos-sibly 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.
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Submitted on : Tuesday, January 27, 2015 - 5:57:05 PM
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Olivier Pantz, Karim Trabelsi. Derivation of nonlinear shell models combining shear and flexure: application to biological membranes. Mathematics and Mechanics of Complex Systems, mdp, 2015, 3 (2), pp.101--138. ⟨hal-01110273⟩

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