Fractional viscoelastic models applied to biomechanical constitutive equations



Document title: Fractional viscoelastic models applied to biomechanical constitutive equations
Journal: Revista mexicana de física
Database: PERIÓDICA
System number: 000388827
ISSN: 0035-001X
Authors: 1
2
1
2
Institutions: 1Instituto Tecnológico Superior de Cajeme, Ciudad Obregón, Sonora. México
2Instituto Superior Politécnico José Antonio Echeverría, Facultad de Ingeniería Mecánica, La Habana. Cuba
Year:
Season: Jul-Ago
Volumen: 61
Number: 4
Pages: 261-267
Country: México
Language: Inglés
Document type: Artículo
Approach: Analítico, teórico
English 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
Disciplines: Física y astronomía
Keyword: Mecánica, elasticidad y reología,
Modelos viscoelásticos fraccionarios,
Biomecánica,
Tejidos blandos
Keyword: Physics and astronomy,
Mechanics, elasticity and rheology,
Fractional viscoelastic models,
Biomechanics,
Soft tissues
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