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Volumn 16, Issue 7, 2011, Pages 706-715

Modeling the collagen fibril network of biological tissues as a nonlinearly elastic material using a continuous volume fraction distribution function

Author keywords

articular cartilage; collagen fibril network; distribution function; polyconvexity; volume fraction

Indexed keywords

ANISOTROPIC MATERIAL; ARTICULAR CARTILAGES; BIOLOGICAL SOFT TISSUE; BIOLOGICAL TISSUES; BOVINE ARTICULAR CARTILAGE; COLLAGEN FIBRILS; CONTINUOUS DISTRIBUTION; CONVEX FUNCTIONS; DEFORMATION GRADIENT TENSORS; DISTRIBUTION PARAMETERS; ELASTIC MATERIALS; ELASTICITY TENSOR; KIRCHHOFF STRESS; MATRIX; MECHANICAL FUNCTIONS; MICROSTRUCTURAL PROPERTIES; NATURAL CONFIGURATIONS; POLYCONVEXITY; PRE-STRESS; SOFT TISSUE; STRAIN ENERGY FUNCTIONS; TENSILE-COMPRESSIVE ASYMMETRY; TISSUE PROPERTIES; VOLUME FRACTION DISTRIBUTION;

EID: 80052842365     PISSN: 10812865     EISSN: 17413028     Source Type: Journal    
DOI: 10.1177/1081286510387866     Document Type: Article
Times cited : (13)

References (18)
  • 1
    • 0017333778 scopus 로고
    • The collagen fibril organization in human articular cartilage
    • Minns, RJ, and Steven, FS The collagen fibril organization in human articular cartilage. J Anat, 1977. 123 (Pt 2). p. 437-57. (Pubitemid 8062538)
    • (1977) Journal of Anatomy , vol.123 , Issue.2 , pp. 437-457
    • Minns, R.J.1    Steven, F.S.2
  • 2
    • 0022922764 scopus 로고
    • Ultrastructural evidence for fibril-to-fibril associations in articular cartilage and their functional implication
    • Broom, ND, and Marra, DL Ultrastructural evidence for fibril-to-fibril associations in articular cartilage and their functional implication. J Anat, 1986. 146: p. 185-200. (Pubitemid 16068566)
    • (1986) Journal of Anatomy , vol.VOL. 146 , pp. 185-200
    • Broom, N.D.1    Marra, D.L.2
  • 3
    • 0016747091 scopus 로고    scopus 로고
    • The ultrastructure and biomechanical significance of the tidemark of articular cartilage
    • Redler, I., Mow, VC, Zimny, ML, and Mansell, J. The ultrastructure and biomechanical significance of the tidemark of articular cartilage. Clin Orthop Relat Res, 1975 (112). p. 357-62.
    • Clin Orthop Relat Res , vol.1975 , Issue.112 , pp. 357-62
    • Redler, I.1    Mow, V.C.2    Zimny, M.L.3    Mansell, J.4
  • 4
    • 0018743585 scopus 로고
    • Large deformation nonhomogeneous and directional properties of articular cartilage in uniaxial tension
    • DOI 10.1016/0021-9290(79)90028-9
    • Woo, SL, Lubock, P., Gomez, MA, Jemmott, GF, Kuei, SC, and Akeson, WH Large deformation nonhomogeneous and directional properties of articular cartilage in uniaxial tension. J Biomech, 1979. 12 (6). p. 437-46. (Pubitemid 9191485)
    • (1979) Journal of Biomechanics , vol.12 , Issue.6 , pp. 437-446
    • Woo, S.L.Y.1    Lubock, P.2    Gomez, M.A.3
  • 5
    • 0034518390 scopus 로고    scopus 로고
    • A conewise linear elasticity mixture model for the analysis of tension-compression nonlinearity in articular cartilage
    • DOI 10.1115/1.1324669
    • Soltz, MA, and Ateshian, GA A Conewise Linear Elasticity mixture model for the analysis of tension-compression nonlinearity in articular cartilage. J Biomech Eng, 2000. 122 (6). p. 576-86. (Pubitemid 32047019)
    • (2000) Journal of Biomechanical Engineering , vol.122 , Issue.6 , pp. 576-586
    • Soltz, M.A.1    Ateshian, G.A.2
  • 6
    • 56749102639 scopus 로고    scopus 로고
    • Role of cartilage collagen fibrils networks in knee joint biomechanics under compression
    • Shirazi, R., Shirazi-Adl, A., and Hurtig, M. Role of cartilage collagen fibrils networks in knee joint biomechanics under compression. J Biomech, 2008. 41 (16). p. 3340-8.
    • (2008) J Biomech , vol.41 , Issue.16 , pp. 3340-8
    • Shirazi, R.1    Shirazi-Adl, A.2    Hurtig, M.3
  • 7
    • 33745171176 scopus 로고    scopus 로고
    • Hyperelastic modelling of arterial layers with distributed collagen fibre orientations
    • DOI 10.1098/rsif.2005.0073
    • Gasser, TC, Ogden, RW, and Holzapfel, GA Hyperelastic modelling of arterial layers with distributed collagen fibre orientations. J R Soc Interface, 2006. 3 (6). p. 15-35. (Pubitemid 46682201)
    • (2006) Journal of the Royal Society Interface , vol.3 , Issue.6 , pp. 15-35
    • Gasser, T.C.1    Ogden, R.W.2    Holzapfel, G.A.3
  • 8
    • 0020586767 scopus 로고
    • Constitutive equations for fibrous connective tissues
    • Lanir, Y. Constitutive equations for fibrous connective tissues. J Biomech, 1983. 16 (1). p. 1-12. (Pubitemid 13125809)
    • (1983) Journal of Biomechanics , vol.16 , Issue.1 , pp. 1-12
    • Lanir, Y.1
  • 10
    • 34248213006 scopus 로고    scopus 로고
    • Anisotropy of fibrous tissues in relation to the distribution of tensed and buckled fibers
    • DOI 10.1115/1.2486179
    • Ateshian, GA Anisotropy of fibrous tissues in relation to the distribution of tensed and buckled fibers. J Biomech Eng, 2007. 129 (2). p. 240-9. (Pubitemid 46722330)
    • (2007) Journal of Biomechanical Engineering , vol.129 , Issue.2 , pp. 240-249
    • Ateshian, G.A.1
  • 11
    • 56549110892 scopus 로고    scopus 로고
    • Towards an analytical model of soft biological tissues
    • Federico, S., and Herzog, W. Towards an analytical model of soft biological tissues. J Biomech, 2008. 41 (16). p. 3309-13.
    • (2008) J Biomech , vol.41 , Issue.16 , pp. 3309-13
    • Federico, S.1    Herzog, W.2
  • 13
    • 0041328360 scopus 로고    scopus 로고
    • Tensile mechanical properties of bovine articular cartilage: Variations with growth and relationships to collagen network components
    • DOI 10.1016/S0736-0266(03)00030-5
    • Williamson, AK, Chen, AC, Masuda, K., Thonar, EJ, and Sah, RL Tensile mechanical properties of bovine articular cartilage: variations with growth and relationships to collagen network components. J Orthop Res, 2003. 21 (5). p. 872-80. (Pubitemid 37045566)
    • (2003) Journal of Orthopaedic Research , vol.21 , Issue.5 , pp. 872-880
    • Williamson, A.K.1    Chen, A.C.2    Masuda, K.3    Thonar, E.J.-M.A.4    Sah, R.L.5
  • 15
    • 0037245463 scopus 로고    scopus 로고
    • Invariant formulaiton of hyperelastic transverse isotropy based on polyconvex free energy functions
    • DOI 10.1016/S0020-7683(02)00458-4, PII S0020768302004584
    • Schröder, J., and Neff, P. Invariant formulation of hyperelastic transverse isotropy based on polyconvex free energy functions. International Journal of Solids and Structures, 2003. 40 (2). p. 401-45. (Pubitemid 36128780)
    • (2003) International Journal of Solids and Structures , vol.40 , Issue.2 , pp. 401-445
    • Schroder, J.1    Neff, P.2
  • 16
    • 0017417265 scopus 로고
    • Convexity conditions and existence theorems in nonlinear elasticity
    • Ball, JM Convexity conditions and existence theorems in nonlinear elasticity. Archive for Rational Mechanics and Analysis, 1976. 63 (4). p. 337-403.
    • (1976) Archive for Rational Mechanics and Analysis , vol.63 , Issue.4 , pp. 337-403
    • Ball, J.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.