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Characterization of the anisotropic viscoelastic behavior in aneurysm tissue of the ascending thoracic aorta using biaxial tensile tests and constitutive modeling
Victorien Prot  1, *@  , Omid Ghorbani  1@  , Robert Matongo Persson  2@  , Vegard Skalstad Ellensen  2@  , Gerhard A. Holzapfel  3, 4@  , Bjørn Skallerud  1@  
1 : Department of Structural Engineering, Norwegian University of Science and Technology (NTNU), Norway
2 : Department of Heart Disease, Haukeland University Hospital, Norway
3 : Institute of Biomechanics, Graz University of Technology
4 : Department of Structural Engineering, NTNU, Trondheim
* : Corresponding author

Objectives. The aim of this study is to characterize the viscoelastic behavior of aneurysm tissue of the ascending thoracic aorta (ATAA) using quasi-static and relaxation biaxial tensile mechanical tests along with state-of-the-art constitutive modeling.

Method. Samples were collected from ATAA patients and sectioned into six regional specimens: three from the major curvature (proximal to distal), one from the minor curvature, and two from the anterior and posterior regions. Each specimen was subjected to quasi-static biaxial stretching and biaxial relaxation tensile tests. Planar deformation was assessed using digital image correlation. After testing, the specimens were chemically fixed, dehydrated and optically cleared. The architecture of the collagen fibers was examined through the thickness using second harmonic generation microscopy in the central region of the specimen. Based on previous work [1,2], a new constitutive material model was developed to describe the anisotropic viscoelastic behavior of the tissues.

Results and Discussion. Fiber dispersion was quantified using von Mises distributions and incorporated into the discrete fiber constitutive model. Elastic and viscoelastic material parameters were determined by curve fitting. The viscoelastic model independently accounts for anisotropic and isotropic viscous components.

References

[1] H. Liu et al., “Anisotropic finite strain viscoelasticity: Constitutive modeling and finite element implementation,” J. Mech. Phys. Solids, 124:172-188, 2019 doi:10.1016/j.jmps.2018.09.014

[2] M.J. Sadeghinia et al., “Mechanical behavior and collagen structure of degenerative mitral valve leaflets and a finite element model of primary mitral regurgitation,” Acta Biomater., 164:269-281, 2023 doi:10.1016/j.actbio.2023.03.029


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