REFERENCES
- BischoffJE, DrexlerbES, SlifkabAJ, McCowanCN. 2009. Quantifying nonlinear anisotropic elastic material properties of biological tissue by use of membrane inflation. Comput Methods Biomech Biomed Eng. 12(3):353–369.
- BoehlerJP. 1987. Introduction to the invariant formulation of anisotropic constitutive equations. In: BoehlerJP, editor. Applications of tensor functions in solid mechanics. CISM Course No. 292, Wien - New York: Springer-Verlag.
- CarewTE, VaishnavRN, PatelDJ. 1968. Compressibility of the arterial wall. Circ Res. 23:61–68.
- ChuongCJ, FungYC. 1984. Compressibility and constitutive equation of arterial wall in radial compression experiments. J Biomech. 17:35–40.
- DemirayH. 1991. A layered cylindrical shell model for an aorta. Int J Eng Sci. 29:47–54.
- HolzapfelGA. 2000a. Biomechanics of soft tissue. Institute for Structural Analysis, Graz University of Technology Appeared in: J.Lemaitre (ed.), “The Handbook of Materials Behavior Models”, Volume III, Multiphysics Behaviors, Chapter 10, Composite Media, Biomaterials, Academic Press: Boston (2001), 1049–1063.
- Holzapfel GA. 2000b. Nonlinear solid mechanics: a continuum approach for engineering, Wiley, England.
- HolzapfelGA. 2006. Determination of material models for arterial walls from uniaxial extension tests and histological structure. J Theor Biol. 238:290–302.
- HolzapfelGA, OgdenRW. 2009. Biomechanical modeling at the molecular, cellular and tissue levels. International Centre for Mechanical Sciences Courses and Lectures No. 508. Wien, New York: Springer.
- HolzapfelGA, GasserTC, OgdenRW. 2000. A new constitutive framework for arterial wall mechanics and a comparative study of material models. J Elasticity. 61:1–48.
- HuberN, TsakmakisC. 2000. Finite deformation viscoelasticity laws. Mech Mater. 32:1–18.
- HumphreyJD. 1995. Mechanics of arterial wall: review and directions. Crit Rev Biomed Eng. 23:1–162.
- HumphreyJD. 2001. Cardiovascular solid mechanics. New York: Springer-Verlag.
- KroonM, HolzapfelGA. 2008. A new constitutive model for multi-layered collagenous tissues. J Biomech. 41:2766–2771.
- LaiarinandrasanaaL, PiquesaR, RobissonA. 2003. Visco-hyperelastic model with internal state variable coupled with discontinuous damage concept under total Lagrangian formulation. Int J Plasticity. 19:977–1000.
- LeeEH. 1969. Elastic-plastic deformation at finite strains. J Appl Mech. 36:1–6.
- LubardaVA. 2001. Elastoplasticity theory. CRC Press LLC, USA.
- PittaccioS, MigliavaccaF, HjordtalV, SmerupM, FründE-T, VillaT, Morre-PedersenE, De LevalMR. 2005. Aortic tissue properties in porcine models: a comparison of ex vivo mechanical test results after simulated aortic arch reconstructions. J Appl Biomater Biomech. 3:147–156.
- SkacelP, BursaJ. 2011. Material parameter identification of arterial wall layers from homogenized stress-strain data. Comput Methods Biomech Biomed Eng. 14(1):33–41.
- VaishnavRN, YoungJT, PatelDJ. 1973. Distribution of stresses and of strain-energy density through the wall thickness. Circ Res. 32:577–583.