Fractional viscoelastic models applied to biomechanical constitutive equations

J. E. Palomares-Ruiz, M. Rodriguez-Madrigal, J. G. Castro Lugo, A. A. Rodriguez-Soto

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

The aim of this work consist to compare the traditional viscoelastic material models vs the fractional ones, determinate the fractional order of the differential operator that characterize the mechanical stress-strain relation, the stress relaxation and the creep compliance of this models for a biological soft tissue, in particular a femoral artery. Apply the Laplace transform for Mittag-Leffler function type and the convolution on fractional standard lineal solid differential equation, known as Zener model, to obtain analytical solution. Simulated the force-pressure related by singular blood flow pulse and the displacement response.

Original languageEnglish
Pages (from-to)261-267
Number of pages7
JournalRevista Mexicana de Fisica
Volume61
Issue number4
StatePublished - 2015
Externally publishedYes

Keywords

  • Biomechanics
  • Fractional
  • Soft tissues
  • Viscoelastic

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