Rate-type elasticity and viscoelasticity of an erythrocyte membrane

Lubarda, Vlado

doi:10.2140/jomms.2011.6.361

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Rate-type elasticity and viscoelasticity of an erythrocyte membrane

Vlado A. Lubarda

Vol. 6 (2011), No. 1-4, 361–376

DOI: 10.2140/jomms.2011.6.361

Abstract

The rate-type constitutive theory of elastic and viscoelastic response of an erythrocyte membrane is presented. The results are obtained for an arbitrary isotropic strain energy function, and for its particular Evans–Skalak form. The explicit representations of the corresponding fourth-order tensors of elastic moduli are derived, with respect to principal axes of stress, and an arbitrary set of orthogonal axes. The objective rate-type viscoelastic constitutive equations of the cell membrane are then derived, based on the Maxwell and Kelvin models of viscoelastic behavior.

Keywords

elastic modulus, erythrocyte, membrane elasticity, rate theory, viscoelasticity

Milestones

Received: 9 March 2010

Revised: 27 May 2010

Accepted: 30 May 2010

Published: 28 June 2011

Authors

Vlado A. Lubarda
Department of Mechanical and Aerospace Engineering University of California San Diego 9500 Gilman Drive La Jolla, CA 92093-0411 United States	Montenegrin Academy of Sciences and Arts Rista Stijovića 5 81000 Podgorica Montenegro

Vol. 6, No. 1-4, 2011

Vlado A. Lubarda

Abstract

Keywords

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Authors