Investigación

 

Fractional viscoelastic models applied to biomechanical constitutive equations

 

J.E. Palomares-Ruizª, M. Rodriguez-Madrigal^b, J.G. Castro Lugoª, and A.A. Rodriguez-Soto^b

 

^a Maestría en Ingeniería Mecatrónica, Instituto Tecnológico Superior de Cajeme, Carretera Internacional a Nogales km 2, Ciudad Obregón, Sonora, México, e-mail: jepalomares@itesca.edu.mx, jcastro@itesca.edu.mx, Phone: 01 644 4108650 ext. 1311.

^b Facultad de Ingeniería Mecánica, Instituto Superior Politécnico José Antonio Echeverría, Calle 114, No. 11901, Entre Ciclovía y 129, Cujae, Marianao, Ciudad de La Habana, Cuba, e-mail: melchor@mecanica.cujae.edu.cu, arodriguezs@mecanica.cujae.edu.cu

 

Received 17 March 2015.
Accepted 4 May 2015

 

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.

Keywords: Fractional; viscoelastic; biomechanics; soft tissues.

PACS: 45.10.Hj; 46.35.+Z; 87.10.Ed

 

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