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Numerical simulations of arteries with an adaptive finite element method

Treść / Zawartość
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
This paper presents applications of the adaptive FEM in computational biomechanics. The study involves finite deformation of artery walls built of layers of elastic, nearly incompressible (rubber-like) materials. The models are reinforced with nearly inextensible collagen fibres stretched along the directions close to the circumferential direction. A Total Lagrangian technique based on the displacement-pressure formulation is presented. Residual error estimates and finite element mesh adaptation strategies are developed. The procedures are illustrated for solutions of arteries under various load considerations.
Rocznik
Strony
917--925
Opis fizyczny
Bibliogr. 10 poz., rys.
Twórcy
autor
  • Cracow University of Technology, Departament of Civil Engineering, Kraków, Poland
autor
  • Cracow University of Technology, Institute of Computer Science, Kraków, Poland
Bibliografia
  • 1. Ainsworth M., Oden J.T., 1992, A procedure for a posteriori error estimation for h-p finite element methods, Computer Methods in Applied Mechanics and Engineering, 101, 73-96
  • 2. Bank R.E., Weiser A., 1985, Some a posteriori error estimates for elliptic partial differential equations, Mathematics of Computation, 44, 283-301
  • 3. Demkowicz L., Kurtz J., Pardo D., Paszyński M., Rachowicz W., Zdunek Z., 2007, Computing with hp Finite Elements. II. Frontiers: Three-Dimensional Elliptic and Maxwell Problems with Applications, CRC Press, Taylor and Francis
  • 4. Edelman E.R., Rogers C.R., 1998, Pathobiologic responses to stenting, American Journal of Cardiology, 81, 4E-6E
  • 5. Flory R., 1961, Thermodynamic relations for highly elastic materials, Transactions of the Faraday Society, 57, 829-838
  • 6. Holzapfel G.A., Gasser Th.C., 2001, A viscoelastic model for fibre-reinforced composites at finite strains: Continuum basis, computational aspects and applications, Computer Methods in Applied Mechanics and Engineering, 190, 4379-4403
  • 7. Rüter M., Stein E., 2000, Analysis, finite element computation and error estimation in transversely isotropic nearly incompressible finite elasticity, Computer Methods in Applied Mechanics and Engineering, 190, 519-541
  • 8. Simo J.C., Taylor R.L., 1991, Quasi-incompressible finite elasticity in principal stretches, Computer Methods in Applied Mechanics and Engineering, 85, 273-310
  • 9. Wriggers P., 2002, Computational Contact Mechanics, John Wiley & Sons, 520 p.
  • 10. Yosibash Z., Priel E., 2011, p-FEMs for hyperelasic nearly-incompressible materials under finite deformations with applications to arteries simulation, International Journal for Numerical Methods in Engineering, 88, 1152-1174
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-3c307524-5061-4d6c-8c9b-d12ce552d554
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