Anisotropic fractional viscoelastic constitutive models for human descending thoracic aortas

Journal of the Mechanical Behavior of Biomedical Materials
Marco AmabiliIvan Breslavsky

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.

Citations

May 12, 2020·Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences·Changqing FangHuiyu Sun
Mar 23, 2021·Journal of the Mechanical Behavior of Biomedical Materials·S PejcicD E Rival
Aug 23, 2020·Journal of Biomechanics·Marco AmabiliRosaire Mongrain
May 17, 2021·Computer Methods and Programs in Biomedicine·C PazS I S Pinto
Jun 4, 2021·Acta Biomaterialia·Giulio FranchiniMarco Amabili
Jul 26, 2021·Acta Biomaterialia·Marco AmabiliGerhard A Holzapfel

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