Vol. 6, No. 1-4, 2011

Download this article
Download this article For screen
For printing
Recent Issues

Volume 12
Issue 3, 249–351
Issue 2, 147–247
Issue 1, 1–146

Volume 11, 5 issues

Volume 10, 5 issues

Volume 9, 5 issues

Volume 8, 8 issues

Volume 7, 10 issues

Volume 6, 9 issues

Volume 5, 6 issues

Volume 4, 10 issues

Volume 3, 10 issues

Volume 2, 10 issues

Volume 1, 8 issues

The Journal
Cover
Editorial Board
Research Statement
Scientific Advantage
Submission Guidelines
Submission Form
Subscriptions
Author Index
To Appear
 
ISSN: 1559-3959
Rate-type elasticity and viscoelasticity of an erythrocyte membrane

Vlado A. Lubarda

Vol. 6 (2011), No. 1-4, 361–376
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