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Journal Articles Mathematics and Mechanics of Complex Systems Year : 2015

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

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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Dates and versions

hal-01110273 , version 1 (27-01-2015)

Identifiers

  • HAL Id : hal-01110273 , version 1

Cite

Olivier Pantz, Karim Trabelsi. Derivation of nonlinear shell models combining shear and flexure: application to biological membranes. Mathematics and Mechanics of Complex Systems, 2015, 3 (2), pp.101--138. ⟨hal-01110273⟩
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