A biphasic viscohyperelastic fibril-reinforced model for articular cartilage: formulation and comparison with experimental data.
Experiments in articular cartilage have shown highly nonlinear stress-strain curves under finite deformations, nonlinear tension-compression response as well as intrinsic viscous effects of the proteoglycan matrix and the collagen fibers. A biphasic viscohyperelastic fibril-reinforced model is proposed here, which is able to describe the intrinsic viscoelasticity of the fibrillar and nonfibrillar components of the solid phase, the nonlinear tension-compression response and the nonlinear stress-strain curves under tension and compression. A viscohyperelastic constitutive equation was used for the matrix and the fibers encompassing, respectively, a hyperelastic function used previously for the matrix and a hyperelastic law used before to represent biological connective tissues. This model, implemented in an updated Lagrangian finite element code, displayed good ability to follow experimental stress-strain equilibrium curves under tension and compression for human humeral cartilage. In addition, curve fitting of experimental reaction force and lateral displacement unconfined compression curves showed that the inclusion of viscous effects in the matrix allows the description of experimental data with material properties for the fibers consistent with experimental tensile tests, suggesting that intrinsic viscous effects in the matrix of articular cartilage plays an important role in the mechanical response of the tissue.
García
José Jaime
JJ
Escuela de Ingeniería Civil y Geomática, Universidad del Valle, Calle 13 # 100-00, Edif. 350, of. 2012, A.A. 25360 Cali, Colombia. josejgar@univalle.edu.co
Cortés
Daniel Humberto
DH
D000818:Animals; D016880:Anisotropy; D002358:Cartilage, Articular / Q000502:physiology*; D003198:Computer Simulation; D004548:Elasticity; D024022:Fibrillar Collagens / Q000502:physiology*; D006801:Humans; D008954:Models, Biological; D013718:Tensile Strength / Q000502:physiology; D014783:Viscosity
D024022:Fibrillar Collagens