Vol. 6, No. 1-4, 2011

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Rate-type elasticity and viscoelasticity of an erythrocyte membrane

Vlado A. Lubarda

Vol. 6 (2011), No. 1-4, 361–376

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.

elastic modulus, erythrocyte, membrane elasticity, rate theory, viscoelasticity
Received: 9 March 2010
Revised: 27 May 2010
Accepted: 30 May 2010
Published: 28 June 2011
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