메뉴 건너뛰기




Volumn 118, Issue 2, 1996, Pages 221-226

A single integral finite strain viscoelastic model of ligaments and tendons

Author keywords

[No Author keywords available]

Indexed keywords

CURVE FITTING; DEFORMATION; LIGAMENTS; MATHEMATICAL MODELS; PHYSIOLOGICAL MODELS; STRAIN; STRESS ANALYSIS; STRESS RELAXATION; TENDONS; VISCOELASTICITY;

EID: 0030152751     PISSN: 01480731     EISSN: 15288951     Source Type: Journal    
DOI: 10.1115/1.2795963     Document Type: Article
Times cited : (138)

References (46)
  • 2
    • 0018435122 scopus 로고
    • A Constitutive Equation for the Canine Anterior Cruciate Ligament
    • Bingham, D. N., and DeHoff, P. H., “A Constitutive Equation for the Canine Anterior Cruciate Ligament,” ASME Journal of Biomechanical Engineering, Vol. 101, 1979, pp. 15-22.
    • (1979) ASME Journal of Biomechanical Engineering , vol.101 , pp. 15-22
    • Bingham, D.N.1    Dehoff, P.H.2
  • 4
    • 0024017412 scopus 로고
    • An In-Vivo Measurement and Analysis of Viscoelastic Properties of the Spinal Cord of Cats
    • Chang, G-L., Hung, T-K., and Feng, W. W., “An In-Vivo Measurement and Analysis of Viscoelastic Properties of the Spinal Cord of Cats,” ASME Journal of Biomechanical Engineering, Vol. 110, 1988, pp. 115-122.
    • (1988) ASME Journal of Biomechanical Engineering , vol.110 , pp. 115-122
    • Chang, G.-L.1    Hung, T.-K.2    Feng, W.W.3
  • 5
    • 0026678964 scopus 로고
    • Non-Uniform Extension of a Non-Linear Viscoelastic Slab
    • Dai, F., Rajagopal, K. R., and Wineman, A. S., “Non-Uniform Extension of a Non-Linear Viscoelastic Slab,” Int. J. Solids Structures, Vol. 29, 1992, pp. 911-930.
    • (1992) Int. J. Solids Structures , vol.29 , pp. 911-930
    • Dai, F.1    Rajagopal, K.R.2    Wineman, A.S.3
  • 6
    • 0018899120 scopus 로고
    • A Non-Linear Viscoelastic Constitutive Equation for Soft Biological Tissues Based Upon a Structural Model
    • Decraemer, W. F., Maes, M. A., Van huyse, V. J., and Van peperstraete, P., “A Non-Linear Viscoelastic Constitutive Equation for Soft Biological Tissues Based Upon a Structural Model,” J. Biomech., Vol. 13, 1980, pp. 559-564.
    • (1980) J. Biomech , vol.13 , pp. 559-564
    • Decraemer, W.F.1    Maes, M.A.2    Van Huyse, V.J.3    Van Peperstraete, P.4
  • 7
    • 0017801224 scopus 로고
    • On The Nonlinear Viscoelastic Behavior of Soft Biological Tissues
    • DeHoff, P. H., “On The Nonlinear Viscoelastic Behavior of Soft Biological Tissues,” J. Biomech., Vol. 11, 1978, pp. 35-40.
    • (1978) J. Biomech , vol.11 , pp. 35-40
    • Dehoff, P.H.1
  • 8
    • 0015505561 scopus 로고
    • Collagen; Ultrastructure and its Relation to Mechanical Properties as a Function of Ageing
    • Diamant, J., Keller, A., Baer, E., Litt, M., and Arridge, R. G. C, “Collagen; Ultrastructure and its Relation to Mechanical Properties as a Function of Ageing,” Proc. R. Soc. Lond. B, Vol. 180, 1972, pp. 293-315.
    • (1972) Proc. R. Soc. Lond. B , vol.180 , pp. 293-315
    • Diamant, J.1    Keller, A.2    Baer, E.3    Litt, M.4    Arridge, R.5
  • 10
    • 0023161997 scopus 로고
    • A Constitutive Model for the Mechanical Behavior of Soft Connective Tissues
    • Egan, J. M., “A Constitutive Model for the Mechanical Behavior of Soft Connective Tissues,” J. Biomech., Vol. 20, 1987, pp. 681-692.
    • (1987) J. Biomech , vol.20 , pp. 681-692
    • Egan, J.M.1
  • 11
    • 0014179220 scopus 로고
    • Elasticity of Soft Tissues in Simple Elongation
    • Fung, Y. C., “Elasticity of Soft Tissues in Simple Elongation,” Am. J. Physiol., Vol. 213, 1967, pp. 1532-1544.
    • (1967) Am. J. Physiol , vol.213 , pp. 1532-1544
    • Fung, Y.C.1
  • 12
    • 0002864195 scopus 로고
    • Stress-Strain-History Relations of Soft Tissues in Simple Elongation
    • Prentice-Hall, Englewood Cliffs, NJ
    • Fung, Y. C, “Stress-Strain-History Relations of Soft Tissues in Simple Elongation,” Biomechanics: Its Foundations and Objectives, Prentice-Hall, Englewood Cliffs, NJ, 1972.
    • (1972) Biomechanics: Its Foundations and Objectives
    • Fung, Y.C.1
  • 13
    • 0015387857 scopus 로고
    • A Constitutive Equation for Collagen Fibers
    • Haut, R. C., and Little, R. W., “A Constitutive Equation for Collagen Fibers,” J. Biomech., Vol. 5, 1972, pp. 423-430.
    • (1972) J. Biomech , vol.5 , pp. 423-430
    • Haut, R.C.1    Little, R.W.2
  • 15
    • 0025861125 scopus 로고
    • The Constitutive Behavior of Passive Heart Muscle Tissue: A Quasi-Linear Viscoelastic Formulation
    • Huyghe, J. M., van Campen, D. H., Arts, T., and Heethaar, R. M., “The Constitutive Behavior of Passive Heart Muscle Tissue: A Quasi-Linear Viscoelastic Formulation,” J. Biomech., Vol. 24, 1991, pp. 841-849.
    • (1991) J. Biomech , vol.24 , pp. 841-849
    • Huyghe, J.M.1    Van Campen, D.H.2    Arts, T.3    Heethaar, R.M.4
  • 17
    • 0016099727 scopus 로고
    • A Constitutive Equation for Parallel-Fibered Elastic Tissue
    • Jenkins, R. B., and Little, R. W., “A Constitutive Equation for Parallel-Fibered Elastic Tissue,” J. Biomech., Vol. 7, 1974, pp. 397-402.
    • (1974) J. Biomech , vol.7 , pp. 397-402
    • Jenkins, R.B.1    Little, R.W.2
  • 19
    • 0020586767 scopus 로고
    • Constitutive Equations for Fibrous Connective Tissues
    • Lanir, Y., “Constitutive Equations for Fibrous Connective Tissues,” J. Biomech., Vol. 16, 1983, pp. 1-12.
    • (1983) J. Biomech , vol.16 , pp. 1-12
    • Lanir, Y.1
  • 20
    • 0019089151 scopus 로고
    • A Microstructure Model for the Rheology of Mammalian Tendon
    • Lanir, Y., “A Microstructure Model for the Rheology of Mammalian Tendon,” ASME Journal of Biomechanical Engineering, Vol. 102, 1980, pp. 332-339.
    • (1980) ASME Journal of Biomechanical Engineering , vol.102 , pp. 332-339
    • Lanir, Y.1
  • 21
    • 0018608289 scopus 로고
    • The Rheological Behavior of Skin: Experimental Results and a Structural Model
    • Lanir, Y., “The Rheological Behavior of Skin: Experimental Results and a Structural Model,” Biorheology, Vol. 16, 1979, pp. 191-202.
    • (1979) Biorheology , vol.16 , pp. 191-202
    • Lanir, Y.1
  • 22
    • 0023591932 scopus 로고
    • On the Stress Relaxation Properties of the Anterior Cruciate Ligament (ACL)
    • Lin, H-C., Kwan, M. K-W., and Woo, S. L-Y., “On the Stress Relaxation Properties of the Anterior Cruciate Ligament (ACL),’' Adv. Bioengng., 5-6, 1987.
    • (1987) Adv. Bioengng , pp. 5-6
    • Lin, H.-C.1    Kwan, M.K.2    Woo, S.L.3
  • 24
    • 0025738969 scopus 로고
    • The Viscoelastic Responses of the Human Cervical Spine in Torsion: Experimental Limitations of the Quasi-Linear Theory, and a Method for Reducing These Effects
    • Myers, B. S., McElhaney, J. H., and Doherty, B. J., “The Viscoelastic Responses of the Human Cervical Spine in Torsion: Experimental Limitations of the Quasi-Linear Theory, and a Method for Reducing These Effects,” J. Biomech., Vol. 24, 1991, pp. 811-817.
    • (1991) J. Biomech , vol.24 , pp. 811-817
    • Myers, B.S.1    McElhaney, J.H.2    Doherty, B.J.3
  • 25
    • 0023196097 scopus 로고
    • On Algorithms of Evaluation of Fungs Relaxation Function Parameters
    • Nigul, I., and Nigul, U., “On Algorithms of Evaluation of Fung’s Relaxation Function Parameters,” J. Biomech., Vol. 20, 1987, pp. 343-352.
    • (1987) J. Biomech , vol.20 , pp. 343-352
    • Nigul, I.1    Nigul, U.2
  • 26
    • 0015685612 scopus 로고
    • Mechanical Properties of the Heart Muscle in the Passive State
    • Pinto, J. G., and Fung, Y. C., “Mechanical Properties of the Heart Muscle in the Passive State,” J. Biomech., Vol. 6, 1973, pp. 597-616.
    • (1973) J. Biomech , vol.6 , pp. 597-616
    • Pinto, J.G.1    Fung, Y.C.2
  • 28
    • 0001868486 scopus 로고
    • A Non-Linear Integral Representation for Viscoelastic Behavior
    • Pipkin, A. C., and Rogers, T. G., “A Non-Linear Integral Representation for Viscoelastic Behavior,” J. Mech. Phys. Solids, Vol. 16, 1968, pp. 59-74.
    • (1968) J. Mech. Phys. Solids , vol.16 , pp. 59-74
    • Pipkin, A.C.1    Rogers, T.G.2
  • 29
    • 0025184608 scopus 로고
    • Nonlinear Viscoelastic Behavior of the Flexor Tendon of the Human Hand
    • Pradas, M. M., and Calleja, R. D., “Nonlinear Viscoelastic Behavior of the Flexor Tendon of the Human Hand,” J. Biomech., Vol. 23, 1990, pp. 773-781.
    • (1990) J. Biomech , vol.23 , pp. 773-781
    • Pradas, M.M.1    Calleja, R.D.2
  • 30
    • 0027091948 scopus 로고
    • A Constitutive Equation for Nonlinear Solids Which Undergo Deformation Induced Microstructural Changes
    • Rajagopal, K. R., and Wineman, A. S., “A Constitutive Equation for Nonlinear Solids Which Undergo Deformation Induced Microstructural Changes,” International Journal of Plasticity, Vol. 8, 1992, pp. 385-395.
    • (1992) International Journal of Plasticity , vol.8 , pp. 385-395
    • Rajagopal, K.R.1    Wineman, A.S.2
  • 31
  • 32
    • 0020554717 scopus 로고
    • Elastic and Viscoelastic Material Behavior of Fresh and Glutaraldehyde-Treated Porcine Aortic Valve Tissue
    • Rousseau, E. P. M., Sauren, A. A. H. J., vanHout, M. C., and vanSteenhoven, A. A., “Elastic and Viscoelastic Material Behavior of Fresh and Glutaraldehyde-Treated Porcine Aortic Valve Tissue,” J. Biomech., Vol. 16, 1983, pp. 339-348.
    • (1983) J. Biomech , vol.16 , pp. 339-348
    • Rousseau, E.P.M.1    Sauren, A.A.H.J.2    Vanhout, M.C.3    Vansteenhoven, A.A.4
  • 33
    • 0020054269 scopus 로고
    • A Viscoelastic Model for Collagen Fibres
    • Sanjeevi, R., Somanathan, N., and Ramaswamy, D., “A Viscoelastic Model for Collagen Fibres,” J. Biomech., Vol. 15, 1982, pp. 181-183.
    • (1982) J. Biomech , vol.15 , pp. 181-183
    • Sanjeevi, R.1    Somanathan, N.2    Ramaswamy, D.3
  • 34
    • 0020710155 scopus 로고
    • A Concise Sensitivity Analysis of the Quasi-Linear Model Proposed by Fung
    • Sauren, A. A. H. J., and Rousseau, E. P. M., “A Concise Sensitivity Analysis of the Quasi-Linear Model Proposed by Fung,” ASME Journal of Biomechanical Engineering, Vol. 105, 1983, pp. 92-95.
    • (1983) ASME Journal of Biomechanical Engineering , vol.105 , pp. 92-95
    • Sauren, A.A.H.J.1    Rousseau, E.P.M.2
  • 36
    • 0022929718 scopus 로고
    • A Constitutive Model for Two Dimensional Soft Tissues and its Application to Experimental Data
    • Shoemaker, P. A., Schneider, D., Lee, M. C., and Fung, Y. C., “A Constitutive Model for Two Dimensional Soft Tissues and its Application to Experimental Data,” J. Biomech., Vol. 19, 1986, pp. 695-702.
    • (1986) J. Biomech , vol.19 , pp. 695-702
    • Shoemaker, P.A.1    Schneider, D.2    Lee, M.C.3    Fung, Y.C.4
  • 37
    • 0021424895 scopus 로고
    • Relaxation and Creep Quasilinear Viscoelastic Models for Normal Articular Cartilage
    • Simon, B. R., Coats, R. S., and Woo, S. L-Y., “Relaxation and Creep Quasilinear Viscoelastic Models for Normal Articular Cartilage,” ASME Journal of Biomechanical Engineering, Vol. 106, 1984, pp. 159-164.
    • (1984) ASME Journal of Biomechanical Engineering , vol.106 , pp. 159-164
    • Simon, B.R.1    Coats, R.S.2    Woo, S.L.3
  • 38
    • 0038822702 scopus 로고
    • Systems Manifesting Superposed Elastic and Viscous Behavior
    • Tobolsky, A. V., and Andrews, R. D., “Systems Manifesting Superposed Elastic and Viscous Behavior,” The Journal of Chemical Physics, Vol. 13, 1945, pp. 3-27.
    • (1945) The Journal of Chemical Physics , vol.13 , pp. 3-27
    • Tobolsky, A.V.1    Andrews, R.D.2
  • 40
    • 0002565890 scopus 로고
    • The Non-Linear Field Theories of Mechanics
    • (Flugge), Springer-Verlag
    • Truesdell, C., and Noll, W., “The Non-Linear Field Theories of Mechanics,” Handbuch derPhysik, (ed., Flugge), Springer-Verlag, Vol. III/3, 1965.
    • (1965) Handbuch Derphysik , vol.3A , Issue.3
    • Truesdell, C.1    Noll, W.2
  • 41
    • 5844264934 scopus 로고
    • A Rheological Model for Uncalcified Parallel-Fibered Collagenous Tissue
    • Viidik, A., “A Rheological Model for Uncalcified Parallel-Fibered Collagenous Tissue,” J. Biomech., Vol. 1, 1968, pp. 3-11.
    • (1968) J. Biomech , vol.1 , pp. 3-11
    • Viidik, A.1
  • 42
    • 15844400711 scopus 로고
    • Large Axially Symmetric Stretching of a Non-Linear Viscoelastic Membrane
    • Wineman, A. S., “Large Axially Symmetric Stretching of a Non-Linear Viscoelastic Membrane,” Int. J. Solids Structures, Vol. 8, 1972, pp. 775-790.
    • (1972) Int. J. Solids Structures , vol.8 , pp. 775-790
    • Wineman, A.S.1
  • 43
    • 0002611938 scopus 로고
    • On a Constitutive Theory for Materials Undergoing Microstructural Changes
    • Wineman, A. S., and Rajagopal, K. R., “On a Constitutive Theory for Materials Undergoing Microstructural Changes,” Arch. Mech., Vol. 42, 1990, pp. 53-75.
    • (1990) Arch. Mech , vol.42 , pp. 53-75
    • Wineman, A.S.1    Rajagopal, K.R.2
  • 44
    • 0020319118 scopus 로고
    • Mechanical Properties of Tendons and Ligaments I. QuasiStatic and Nonlinear Viscoelastic Properties
    • Woo, S. L-Y., “Mechanical Properties of Tendons and Ligaments I. QuasiStatic and Nonlinear Viscoelastic Properties,” Biorheology, Vol. 19, 1982, pp. 385-396.
    • (1982) Biorheology , vol.19 , pp. 385-396
    • Woo, S.L.1
  • 45
    • 0019644562 scopus 로고
    • The Time and History-Dependent Viscoelastic Properties of the Canine Medial Collateral Ligament
    • Woo, S. L-Y., Gomez, M. A., and Akeson, W. H., “The Time and History-Dependent Viscoelastic Properties of the Canine Medial Collateral Ligament,” ASME Journal of Biomechanical Engineering, Vol. 103, 1981, pp. 293-298.
    • (1981) ASME Journal of Biomechanical Engineering , vol.103 , pp. 293-298
    • Woo, S.L.1    Gomez, M.A.2    Akeson, W.H.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.