Probabilistic constitutive law for damage in ligaments

Medical Engineering and Physics

Volumn 31, Issue 9, 2009, Pages 1104-1109

  Guo, Zheying ^a   De Vita, Raffaella ^a  

^a Virginia Polytechnic Institute and State University   (United States)

Author keywords

Constitutive model; Damage; Medial collateral ligament

Indexed keywords

COLLAGEN FIBER; COLLAGENOUS TISSUES; CONSTITUTIVE LAW; DAMAGE; DAMAGE EVOLUTION PROCESS; EXPERIMENTAL DATA; FIBROUS STRUCTURES; LINEAR ELASTIC; MEDIAL COLLATERAL LIGAMENT; MEDIAL COLLATERAL LIGAMENTS; STRESS-STRAIN DATA; STRUCTURAL PARAMETER;

BIOMECHANICS; COLLAGEN; CONSTITUTIVE EQUATIONS; CONSTITUTIVE MODELS; FIBERS; HISTOLOGY; LIGAMENTS;

WEIBULL DISTRIBUTION;

COLLAGEN FIBER;

ARTICLE; BIOMECHANICS; CONTROLLED STUDY; ELASTICITY; LIGAMENT DISEASE; MECHANICAL STRESS; MUSCULOSKELETAL STIFFNESS; MUSCULOSKELETAL STRESS; PREDICTION; PRIORITY JOURNAL; PROBABILITY; STRESS STRAIN RELATIONSHIP; TISSUE STRUCTURE;

ALGORITHMS; ANIMALS; BIOMECHANICS; COLLAGEN; COMPUTER SIMULATION; ELASTICITY; LIGAMENTS; MODELS, STATISTICAL; PROBABILITY; RATS; STRESS, MECHANICAL; TENSILE STRENGTH; VISCOSITY; WEIGHT-BEARING;

EID: 70350383075     PISSN: 13504533     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.medengphy.2009.06.011     Document Type: Article

References (33)

1. Amiel D., Billings E., and Akenson Jr. W.H. Ligament structure, chemistry, and physiology. In: Daniel D.M., Akeson W.H., and O'Connor J.J. (Eds). Knee ligaments: structure, function, injury and repair (1990), Raven Press, New York
2. Andriacchi T., Sabiston P., De Haven K., Dahners L., Woo S., Frank C., et al. Ligament: injury and repair. In: Woo S.Y.L., and Buckwalter J.A. (Eds). Injury and repair of the musculoskeletal soft tissues (1987), AAOS, Park Ridge, IL
3. Arnoux P.J., Chabrand P., Jean M., and Bonnoit J. A visco-hyperelastic model with damage for the knee ligaments under dynamic constraints. Comput Meth Biomech Biomed Eng 5 (2002) 167-174
4. Bailey A.J., Robins S.P., and Balian G. Biological significance of the intermolecular crosslinks of collagen. Nature 251 (1974) 105-109
5. Ciarletta P, Ben Amar M. A finite dissipative theory of temporary interfibrillar bridges in the extra-cellular matrix of ligaments and tendons. J R Soc Interface; in press, doi:10.1098/rsif.2008.0487.
6. De Vita R., and Slaughter W.S. A structural constitutive model for the strain rate dependent behavior of anterior cruciate ligaments. Int J Solids Struct 43 (2006) 1561-1570
7. De Vita R., and Slaughter W.S. A constitutive equation for the failure behavior of medial collateral ligaments. Biomech Model Mechanobiol 6 (2007) 189-197
8. Fratzl P., Misof K., Zizak I., Rapp G., Amenitsch H., and Bernstorff S. Fibrillar Structure and Mechanical Properties of Collagen. J Struct Biol 122 (1997) 119-122
9. Gen M., and Cheng R. Genetic algorithms and engineering design (1997), Wiley Interscience
10. Hansen K.A., Weiss J.A., and Barton J.K. Recruitment of tendon crimp with applied tensile strain. J Biomech Eng 124 (2002) 72-77
11. Hurschler C., Loitz-Ramage B., and Vanderby R. A structurally based stress-stretch relationship for tendon and ligament. J Biomech Eng-T ASME 119 (1997) 392-399
12. Hurschler C., Provenzano P.P., and Vanderby R. Application of a probabilistic microstructural model to determine reference length and toe-to-linear region transition in fibrous connective tissue. J Biomech 125 (2003) 415-422
13. Kastelic J., Galeski A., and Baer E. The multicomposite structure of tendon. Connect Tissue Res 6 (1978) 11-23
14. Kwan M.K., and Woo S.L.Y. A structural model to describe the nonlinear stress-strain behavior for parallel-fibered collagenous tissues. J Biomech Eng-T ASME 111 (1989) 361-363
15. Lanir Y. A structural theory for the homogeneous biaxial stress-strain relationship in flat collageneous tissues. J Biomech 12 (1979) 423-436
16. Laws G., and Walton M. Fibroblastic healing of grade II ligament injuries. Histological and mechanical studies in the sheep. J Bone Joint Surg Br 70 (1988) 390-396
17. Liao H., and Belkoff S.M. A failure model for ligaments. J Biomech 32 (1999) 183-188
18. Minns R.J., Soden P.D., and Jackson D.S. The role of the fibrous components and ground substance in the mechanical properties of biological tissues: a preliminary investigation. J Biomech 6 (1973) 153-165
19. Natali A.N., Pavan P.G., Carniel E.L., Lucisano M.E., and Taglialavoro G. Anisotropic elasto-damage constitutive model for the biomechanical analysis of tendons. Med Eng Phys 27 (2005) 209-214
20. Natali A.N., Carniel E.L., Pavan P.G., Sander F.G., Dorow C., and Geiger M. A visco-hyperelastic-damage constitutive model for the analysis of the biomechanical response of the periodontal ligament. J Biomech Eng 130 (2008) 031004
21. Panjabi M.M., and Courtney W. High-speed subfailure stretch of rabbit anterior cruciate ligament: changes in elastic, failure and viscoelastic characteristics. Clin Biomech 16 (2001) 334-340
22. Panjabi M.M., Yoldas E., Oxland T.R., and Crisco J.J. Subfailure injury of the rabbit anterior cruciate ligament. J Orthop Res 14 (1996) 216-222
23. Park S.K., and Miller K.W. Random number generators: good ones are hard to find. Commun ACM 31 (1988) 1192-1201
24. Press W.H., Flannery B.P., Teukolsky S.A., and Vetterling W.T. Numerical recipes in C: the art of scientific computing (1992), Cambridge University Press, Cambridge
25. Price K.V., Storn R.M., and Lampinen J.A. Differential Evolution: a pratical approach to global optimization (2005), Springer
26. Provenzano P.P., Heisey D., Hayashi K., Lakes R., and Vanderby Jr. R. Subfailure damage in ligament: a structural and cellular evaluation. J Appl Physiol 92 (2002) 362-371
27. Rodriguez J.F., Cacho F., Bea J.A., and Doblare M. A stochastic-structurally based three dimensional finite-strain damage model for fibrous soft tissue. J Mech Phys Solids 54 (2006) 864-886
28. Sasaki N., and Odajima S. Stress-strain curve and Young's modulus of a collagen molecule as determined by X-ray diffraction technique. J Biomech 29 (1996) 655-658
29. Screen H.R.C., Lee D.A., Bader D.L., and Shelton J.C. An investigation into the effects of the hierarchical structure of tendon fascicles on micromechanical properties. J Eng Med 218 (2004) 109-119
30. Screen H.R.C., Shelton J.C., Chhaya V.H., Kayser M.V., Bader D.L., and Lee D.A. The influence of noncollagenous matrix components on the micromechanical environment of tendon fascicles. Ann Biomed Eng 33 (2005) 1090-1099
31. Weibull W. A statistical distribution function of wide applicability. J Appl Mech Trans ASME 18 (1951) 293-297
32. Weiss J.A., and Gardiner J.C. Computational modeling of ligament mechanics. Crit Rev Biomed Eng 29 (2001) 1-70
33. Wren T.A.L., and Carter D.R. A microstructural model for the tensile constitutive and failure behavior of soft skeletal connective tissues. J Biomech Eng 120 (1998) 55-61