A Visco-hyperelastic Model With Damage for the Knee Ligaments Under Dynamic Constraints

The aim of this study was to identify the behaviour laws governing the knee ligaments, accounting for the damage incurred by the structure under dynamic constraints. The model is developed using a thermodynamic formulation based on the coupling between a viscoelastic model and a damage model. Identification is carried out using the results of dynamic traction tests performed on a bone ligament/bone complex to which traction velocities of around 1.98 m/s were applied. The results show the ability of the model to account for the brittle and ductile failure processes occurring in the cruciate and lateral ligaments, respectively.

[1]  Y. Fung,et al.  Biorheology of soft tissues. , 1973, Biorheology.

[2]  L. E. Malvern.  Introduction to the mechanics of a continuous medium , 1969 .

[3]  A. Viidik.  Functional properties of collagenous tissues. , 1973, International review of connective tissue research.

[4]  F. Noyes,et al.  The strength of the anterior cruciate ligament in humans and Rhesus monkeys. , 1976, The Journal of bone and joint surgery. American volume.

[5]  J. Chaboche.  Continuum Damage Mechanics: Part I—General Concepts , 1988 .

[6]  P. H. Dehoff,et al.  On the nonlinear viscoelastic behavior of soft biological tissues. , 1978, Journal of biomechanics.

[7]  N. Sasaki,et al.  Elongation mechanism of collagen fibrils and force-strain relations of tendon at each level of structural hierarchy. , 1996, Journal of biomechanics.

[8]  H. Demiray.  A note on the elasticity of soft biological tissues. , 1972, Journal of biomechanics.

[9]  P. H. Dehoff,et al.  A Constitutive Equation for the Canine Anterior Cruciate Ligament , 1979 .

[10]  P. Germain,et al.  Cours de mécanique des milieux continus , 1973 .

[11]  S. Belkoff,et al.  A failure model for ligaments. , 1999, Journal of biomechanics.

[12]  Y Lanir,et al.  A microstructure model for the rheology of mammalian tendon. , 1980, Journal of biomechanical engineering.

[13]  N. Sasaki,et al.  Stress-strain curve and Young's modulus of a collagen molecule as determined by the X-ray diffraction technique. , 1996, Journal of biomechanics.

[14]  S. Woo,et al.  A structural model to describe the nonlinear stress-strain behavior for parallel-fibered collagenous tissues. , 1989, Journal of biomechanical engineering.

[15]  Georges Winckler,et al.  Manuel d'anatomie topographique et fonctionnelle , 1974 .

[16]  R Vanderby,et al.  A structurally based stress-stretch relationship for tendon and ligament. , 1997, Journal of biomechanical engineering.

[17]  D. Pioletti,et al.  Non-linear viscoelastic laws for soft biological tissues , 2000 .

[18]  D P Pioletti,et al.  Viscoelastic constitutive law in large deformations: application to human knee ligaments and tendons. , 1998, Journal of biomechanics.

[19]  Florence Andrieux.  Sur les milieux visco-hyperélastiques endommageables , 1996 .

[20]  Y. Fung,et al.  Biomechanics: Mechanical Properties of Living Tissues , 1981 .

[21]  W F Decraemer,et al.  A thermodynamically consistent constitutive equation for the elastic force-length relation of soft biological materials. , 1989, Journal of biomechanics.