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Medical Engineering & Physics
Volume 31, Issue 9
, Pages 1104-1109
, November 2009
Probabilistic constitutive law for damage in ligaments
References
- . Ligament structure, chemistry, and physiology. In: Daniel DM, Akeson WH, O’Connor JJ editor. Knee ligaments: structure, function, injury and repair. New York: Raven Press; 1990;
- Ligament: injury and repair. In: Woo SYL, Buckwalter JA editor. Injury and repair of the musculoskeletal soft tissues. Park Ridge, IL: AAOS; 1987;
- . A visco-hyperelastic model with damage for the knee ligaments under dynamic constraints. Comput Meth Biomech Biomed Eng. 2002;5:167–174
- . Biological significance of the intermolecular crosslinks of collagen. Nature. 1974;251:105–109
- 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.
- . A structural constitutive model for the strain rate dependent behavior of anterior cruciate ligaments. Int J Solids Struct. 2006;43:1561–1570
- . A constitutive equation for the failure behavior of medial collateral ligaments. Biomech Model Mechanobiol. 2007;6:189–197
- . Fibrillar Structure and Mechanical Properties of Collagen. J Struct Biol. 1997;122:119–122
- . Genetic algorithms and engineering design. Wiley Interscience; 1997;
- . Recruitment of tendon crimp with applied tensile strain. J Biomech Eng. 2002;124:72–77
- . A structurally based stress–stretch relationship for tendon and ligament. J Biomech Eng-T ASME. 1997;119:392–399
- . Application of a probabilistic microstructural model to determine reference length and toe-to-linear region transition in fibrous connective tissue. J Biomech. 2003;125:415–422
- . The multicomposite structure of tendon. Connect Tissue Res. 1978;6:11–23
- . A structural model to describe the nonlinear stress–strain behavior for parallel-fibered collagenous tissues. J Biomech Eng-T ASME. 1989;111:361–363
- . A structural theory for the homogeneous biaxial stress–strain relationship in flat collageneous tissues. J Biomech. 1979;12:423–436
- . Fibroblastic healing of grade II ligament injuries. Histological and mechanical studies in the sheep. J Bone Joint Surg Br. 1988;70:390–396
- . A failure model for ligaments. J Biomech. 1999;32:183–188
- . The role of the fibrous components and ground substance in the mechanical properties of biological tissues: a preliminary investigation. J Biomech. 1973;6:153–165
- . Anisotropic elasto-damage constitutive model for the biomechanical analysis of tendons. Med Eng Phys. 2005;27:209–214
- . A visco-hyperelastic-damage constitutive model for the analysis of the biomechanical response of the periodontal ligament. J Biomech Eng. 2008;130:031004
- . High-speed subfailure stretch of rabbit anterior cruciate ligament: changes in elastic, failure and viscoelastic characteristics. Clin Biomech. 2001;16:334–340
- . Subfailure injury of the rabbit anterior cruciate ligament. J Orthop Res. 1996;14:216–222
- . Random number generators: good ones are hard to find. Commun ACM. 1988;31:1192–1201
- . Numerical recipes in C: the art of scientific computing. Cambridge: Cambridge University Press; 1992;
- . Differential Evolution: a pratical approach to global optimization. Springer; 2005;
- . Subfailure damage in ligament: a structural and cellular evaluation. J Appl Physiol. 2002;92:362–371
- . A stochastic-structurally based three dimensional finite-strain damage model for fibrous soft tissue. J Mech Phys Solids. 2006;54:864–886
- . Stress–strain curve and Young’s modulus of a collagen molecule as determined by X-ray diffraction technique. J Biomech. 1996;29:655–658
- . An investigation into the effects of the hierarchical structure of tendon fascicles on micromechanical properties. J Eng Med. 2004;218:109–119
- . The influence of noncollagenous matrix components on the micromechanical environment of tendon fascicles. Ann Biomed Eng. 2005;33:1090–1099
- . A statistical distribution function of wide applicability. J Appl Mech Trans ASME. 1951;18:293–297
- . Computational modeling of ligament mechanics. Crit Rev Biomed Eng. 2001;29:1–70
- . A microstructural model for the tensile constitutive and failure behavior of soft skeletal connective tissues. J Biomech Eng. 1998;120:55–61
PII: S1350-4533(09)00151-9
doi: 10.1016/j.medengphy.2009.06.011
© 2009 IPEM. Published by Elsevier Inc. All rights reserved.
« Previous
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Medical Engineering & Physics
Volume 31, Issue 9
, Pages 1104-1109
, November 2009
