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

Craiem, Damian; Rojo Pérez, Francisco Javier; Atienza Riera, José Miguel; Armentano, Ricardo L. y 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.

Descripción

Título: Fractional-order viscoelasticity applied to describe uniaxial stress relaxation of human arteries.
Autor/es:
  • Craiem, Damian
  • Rojo Pérez, Francisco Javier
  • Atienza Riera, José Miguel
  • Armentano, Ricardo L.
  • Guinea Tortuero, Gustavo V.
Tipo de Documento: Artículo
Título de Revista/Publicación: Physics in Medicine and Biology
Fecha: Septiembre 2008
Volumen: 53
Materias:
Escuela: E.T.S.I. Caminos, Canales y Puertos (UPM)
Departamento: Ciencia de los Materiales
Licencias Creative Commons: Reconocimiento - Sin obra derivada - No comercial

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Resumen

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.

Más información

ID de Registro: 2577
Identificador DC: http://oa.upm.es/2577/
Identificador OAI: oai:oa.upm.es:2577
Identificador DOI: 10.1088/0031-9155/53/17/006
URL Oficial: http://iopscience.iop.org/0031-9155/53/17
Depositado por: Memoria Investigacion
Depositado el: 09 Abr 2010 10:50
Ultima Modificación: 20 Abr 2016 12:14
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