Fractional-order viscoelasticity applied to describe uniaxial stress relaxation of human arteries.

Craiem, Damian and Rojo Pérez, Francisco Javier and Atienza Riera, José Miguel and Armentano, Ricardo L. and Guinea Tortuero, Gustavo V. (2008). Fractional-order viscoelasticity applied to describe uniaxial stress relaxation of human arteries.. "Physics in Medicine and Biology", v. 53 (n. 17); pp. 4543-4554. ISSN 0031-9155. https://doi.org/10.1088/0031-9155/53/17/006.

Description

Title: Fractional-order viscoelasticity applied to describe uniaxial stress relaxation of human arteries.
Author/s:
  • Craiem, Damian
  • Rojo Pérez, Francisco Javier
  • Atienza Riera, José Miguel
  • Armentano, Ricardo L.
  • Guinea Tortuero, Gustavo V.
Item Type: Article
Título de Revista/Publicación: Physics in Medicine and Biology
Date: September 2008
ISSN: 0031-9155
Volume: 53
Subjects:
Faculty: E.T.S.I. Caminos, Canales y Puertos (UPM)
Department: Ciencia de los Materiales
Creative Commons Licenses: Recognition - No derivative works - Non commercial

Full text

[img]
Preview
PDF - Requires a PDF viewer, such as GSview, Xpdf or Adobe Acrobat Reader
Download (247kB) | Preview

Abstract

Viscoelastic models can be used to better understand arterial wall mechanics in physiological and pathological conditions. The arterial wall reveals very slow time-dependent decays in uniaxial stress-relaxation experiments, coherent with weak power-law functions. Quasi-linear viscoelastic (QLV) theory was successfully applied to modeling such responses, but an accurate estimation of the reduced relaxation function parameters can be very difficult. In this work, an alternative relaxation function based on fractional calculus theory is proposed to describe stress relaxation experiments in strips cut from healthy human aortas. Stress relaxation (1 h) was registered at three incremental stress levels. The novel relaxation function with three parameters was integrated into the QLV theory to fit experimental data. It was based in a modified Voigt model, including a fractional element of order α, called spring–pot. The stressrelaxation predictionwas accurate and fast. Sensitivity plots for each parameter presented a minimum near their optimal values. Least-squares errors remained below 2%. Values of order α = 0.1–0.3 confirmed a predominant elastic behavior. The other two parameters of the model can be associated to elastic and viscous constants that explain the time course of the observed relaxation function. The fractional-order model integrated into the QLV theory proved to capture the essential features of the arterial wall mechanical response.

More information

Item ID: 2577
DC Identifier: http://oa.upm.es/2577/
OAI Identifier: oai:oa.upm.es:2577
DOI: 10.1088/0031-9155/53/17/006
Official URL: http://iopscience.iop.org/0031-9155/53/17
Deposited by: Memoria Investigacion
Deposited on: 09 Apr 2010 10:50
Last Modified: 20 Apr 2016 12:14
  • Logo InvestigaM (UPM)
  • Logo GEOUP4
  • Logo Open Access
  • Open Access
  • Logo Sherpa/Romeo
    Check whether the anglo-saxon journal in which you have published an article allows you to also publish it under open access.
  • Logo Dulcinea
    Check whether the spanish journal in which you have published an article allows you to also publish it under open access.
  • Logo de Recolecta
  • Logo del Observatorio I+D+i UPM
  • Logo de OpenCourseWare UPM