Medical Engineering & Physics
Volume 30, Issue 5 , Pages 590-598 , June 2008

Simulation of high tensile Poisson's ratios of articular cartilage with a finite element fibril-reinforced hyperelastic model

Received 7 February 2007 ,Revised 26 June 2007 ,Accepted 27 June 2007.

References 

  1. Huang C, Stankiewicz A, Ateshian GA, Mow VC. Anisotropy, inhomogeneity, and tension–compression nonlinearity of human glenohumeral cartilage in finite deformation. J Biomech. 2005;38:799–809
  2. Charlebois M, McKee MD, Buschmann MD. Nonlinear tensile properties of bovine articular cartilage and their variation with age and depth. J Biomech Eng. 2004;126:129–137
  3. Mak AF. The apparent viscoelastic behavior of articular cartilage—the contributions from the intrinsic matrix viscoelasticity and interstitial fluid flows. J Biomech Eng. 1986;108:123–129
  4. Li LP, Herzog W, Korhonen RK, Jurvelin JS. The role of viscoelasticity of collagen fibers in articular cartilage: axial tension versus compression. Med Eng Phys. 2005;27:51–57
  5. Mow VC, Kuei SC, Lai WM, Armstrong CG. Biphasic creep and stress relaxation of articular cartilage in compression: theory and experiments. J Biomech Eng. 1980;102:73–84
  6. Elliot DM, Narmoneva DA, Setton LA. Direct measurement of the Poisson's ratio of human patella cartilage in tension. J Biomech Eng. 2002;124:223–228
  7. Li LP, Soulhat J, Buschmann MD, Shirazi-Adl A. Nonlinear analysis of cartilage in unconfined ramp compression using a fibril reinforced poroelastic model. Clin Biomech. 1999;14:673–682
  8. Wilson W, van Donkelaar CC, van Rietbergen B, Ito K, Huiskes R. Stresses in the local collagen network of articular cartilage: a poroviscoelastic fibril-reinforced finite element study. J Biomech. 2004;37:357–366
  9. Federico S, Grillo A, La Rosa G, Giaquinta G, Herzog W. A transversely isotropic, transversely homogeneous microstructural–statistical model of articular cartilage. J Biomech. 2005;38:2008–2018
  10. Klisch SM, Lotz JC. Application of a fiber-reinforced continuum theory to multiple deformations of the annulus fibrous. J Biomech. 1999;32:1027–1036
  11. Wu JZ, Herzog W. Elastic anisotropy of articular cartilage is associated with the microstructures of collagen fibers and chondrocytes. J Biomech. 2002;35:931–942
  12. Klisch SM, Sah RL, Davol A. Bimodular-orthotropic-policonvex strain energy functions for the collagen proteoglycan solid matrix of articular cartilage. In: Proceedings of BIO2006, 2006: 157425.
  13. García JJ, Cortés DH. A biphasic viscohyperelastic fibril-reinforced model for articular cartilage: formulation and comparison with experimental data. J Biomech. 2007;40:1737–1744
  14. Lei F, Szeri AZ. The influence of fibril organization on the mechanical behavior of articular cartilage. Proc R Soc. 2006;462:3301–3322
  15. Holmes MH, Mow VC. The non-linear characteristics of soft gels and hydrated connective tissues in ultrafiltration. J Biomech. 1990;23:1145–1156
  16. Limbert G, Middleton J. A transversely isotropic viscohyperelastic material: application to the modeling of biological soft connective tissues. Int J Solids Struct. 2004;41:4237–4260
  17. García JJ, Cortés DH. A nonlinear biphasic viscohyperelastic model for articular cartilage. J Biomech. 2006;29:2991–2998
  18. Korhonen RK, Laasanen MS, Töyräs J, Rieppo J, Hirvonen J, Helminen HJ, et al. Comparison of the equilibrium response of articular cartilage in unconfined compression, confined compression and indentation. J Biomech. 2002;35:903–909
  19. Christensen RM. Mechanics of composite materials. Malabar: Krieger Publishing Company; 1991;
  20. Clark JM. The organization of collagen in cryofractured rabbit articular cartilage: a scanning electron microscopic study. J Orthop Res. 1985;3:17–29

PII: S1350-4533(07)00134-8

doi: 10.1016/j.medengphy.2007.06.004

Medical Engineering & Physics
Volume 30, Issue 5 , Pages 590-598 , June 2008