Anisotropic fractional viscoelastic constitutive models for human descending thoracic aortas. (November 2019)

• Record Type: Journal Article
• Authors: Amabili, Marco; Balasubramanian, Prabakaran; Breslavsky, Ivan
• Is Part Of: Journal of the mechanical behavior of biomedical materials. Volume 99(2019)
• Page Start: 186
• Page End: 197
• Publication Date: 2019-11
• Subjects: Human aorta -- Fractional viscoelasticity -- Generalized maxwell model -- Experiments -- Genetic algorithm -- Anisotropic viscoelasticity -- Harmonic load; Biomedical materials -- Periodicals; Biomedical materials -- Mechanical properties -- Periodicals; Biomedical materials; Biomedical materials -- Mechanical properties; Periodicals; Electronic journals; 610.28
• DOI: 10.1016/j.jmbbm.2019.07.010
• Languages: English
• ISSNs: 1751-6161

Abstract

Abstract: The generalized fractional Maxwell model, formulated for hyperelastic material within the framework of the nonlinear viscoelasticity with internal variables, is applied to identify viscoelastic constitutive equations from layer-specific experimental data obtained by uniaxial harmonic loading of ex-vivo human descending thoracic aortas. The constitutive parameters are identified by using a genetic algorithm for the optimal fitting of the experimental data. The accuracy of the fitted fractional model is compared to the fitted integer order model with the same number of Maxwell elements. The formulation of an original strain energy density function for anisotropic nonlinear viscoelasticity is introduced and constitutive parameters are obtained from the experiments.