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Volumn 38, Issue 8, 2005, Pages 1674-1684

A homogenization model of the annulus fibrosus

Author keywords

Anisotropy; Annulus fibrosus; Finite element model; Homogenization; Strain energy

Indexed keywords

ELASTIC MODULI; ENERGY ABSORPTION; FIBER REINFORCED MATERIALS; FINITE ELEMENT METHOD; MICROSTRUCTURE; TISSUE; VOLUME FRACTION;

EID: 20444489530     PISSN: 00219290     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jbiomech.2004.07.017     Document Type: Article
Times cited : (49)

References (50)
  • 1
    • 0021497042 scopus 로고
    • An investigation of localization in a porous elastic material using homogenization theory
    • R. Abeyaratne, and N. Triantafyllidis An investigation of localization in a porous elastic material using homogenization theory Journal of Applied Mechanics 51 1984 481 486
    • (1984) Journal of Applied Mechanics , vol.51 , pp. 481-486
    • Abeyaratne, R.1    Triantafyllidis, N.2
  • 2
    • 0029564343 scopus 로고
    • Degeneration and aging affect the tensile behavior of human lumbar annulus fibrosus
    • E.R. Acaroglu, J.C. Iatridis, L.A. Setton, and R.J. Foster Degeneration and aging affect the tensile behavior of human lumbar annulus fibrosus Spine 20 24 1995 2690 2701
    • (1995) Spine , vol.20 , Issue.24 , pp. 2690-2701
    • Acaroglu, E.R.1    Iatridis, J.C.2    Setton, L.A.3    Foster, R.J.4
  • 6
    • 0006180593 scopus 로고    scopus 로고
    • Intervertebral disk structure, composition, and mechanical function
    • J.A. Buckwalter T.A. Einhorn S.R. Simon American Academy of Orthopaedic Surgeons Rosemont, IL
    • J.A. Buckwalter, V.C. Mow, S.D. Boden, and D.R. Eyre Intervertebral disk structure, composition, and mechanical function J.A. Buckwalter T.A. Einhorn S.R. Simon Orthopaedic Basic Science 2000 American Academy of Orthopaedic Surgeons Rosemont, IL 547 556
    • (2000) Orthopaedic Basic Science , pp. 547-556
    • Buckwalter, J.A.1    Mow, V.C.2    Boden, S.D.3    Eyre, D.R.4
  • 8
    • 0030024694 scopus 로고    scopus 로고
    • Tensile properties of nondegenerate human lumbar annulus fibrosus
    • S. Ebara, J.C. Iatridis, L.A. Setton, and R.J. Foster Tensile properties of nondegenerate human lumbar annulus fibrosus Spine 21 4 1996 452 461
    • (1996) Spine , vol.21 , Issue.4 , pp. 452-461
    • Ebara, S.1    Iatridis, J.C.2    Setton, L.A.3    Foster, R.J.4
  • 10
    • 0034176422 scopus 로고    scopus 로고
    • A linear material model for fiber-induced anisotropy of the annulus fibrosus
    • D.M. Elliott, and L.A. Setton A linear material model for fiber-induced anisotropy of the annulus fibrosus Journal of Biomechanical Engineering 122 2000 173 179
    • (2000) Journal of Biomechanical Engineering , vol.122 , pp. 173-179
    • Elliott, D.M.1    Setton, L.A.2
  • 11
    • 0034954339 scopus 로고    scopus 로고
    • Anisotropic and inhomogeneous tensile behavior of the human annulus fibrosus: Experimental measurement and material model predictions
    • D.M. Elliott, and L.A. Setton Anisotropic and inhomogeneous tensile behavior of the human annulus fibrosus experimental measurement and material model predictions Journal of Biomechanical Engineering 123 2001 256 263
    • (2001) Journal of Biomechanical Engineering , vol.123 , pp. 256-263
    • Elliott, D.M.1    Setton, L.A.2
  • 12
    • 1842511664 scopus 로고    scopus 로고
    • Validation of the mouse and rat disc as mechanical models of the human lumbar disc
    • D.M. Elliott, and J. Sarver Validation of the mouse and rat disc as mechanical models of the human lumbar disc Spine 29 2004 713 722
    • (2004) Spine , vol.29 , pp. 713-722
    • Elliott, D.M.1    Sarver, J.2
  • 13
    • 0036368219 scopus 로고    scopus 로고
    • Patient-specific spine models. Part 1: Finite element analysis of the lumbar intervertebral disc - A material sensitivity study
    • M.J. Fagan, S. Julian, D.J. Siddall, and A.M. Mohsen Patient-specific spine models. Part 1 finite element analysis of the lumbar intervertebral disc - a material sensitivity study Proceedings of the Institute of Mechanical Engineering [H] 216 2002 299 314
    • (2002) Proceedings of the Institute of Mechanical Engineering [H] , vol.216 , pp. 299-314
    • Fagan, M.J.1    Julian, S.2    Siddall, D.J.3    Mohsen, A.M.4
  • 14
    • 0031278009 scopus 로고    scopus 로고
    • Radial tensile properties of the lumbar annulus fibrosus are site and degeneration dependent
    • Y. Fujita, N.A. Duncan, and J. Lotz Radial tensile properties of the lumbar annulus fibrosus are site and degeneration dependent Journal of Orthopaedic Research 15 1997 814 819
    • (1997) Journal of Orthopaedic Research , vol.15 , pp. 814-819
    • Fujita, Y.1    Duncan, N.A.2    Lotz, J.3
  • 15
    • 0034208513 scopus 로고    scopus 로고
    • Anisotropic shear behavior of the annulus fibrosus: Effect of harvest site and tissue prestrain
    • Y. Fujita, D.R. Wagner, A.A. Biviji, and N.A. Duncan Anisotropic shear behavior of the annulus fibrosus effect of harvest site and tissue prestrain Medical Engineering and Physics 22 5 2000 349 357
    • (2000) Medical Engineering and Physics , vol.22 , Issue.5 , pp. 349-357
    • Fujita, Y.1    Wagner, D.R.2    Biviji, A.A.3    Duncan, N.A.4
  • 17
    • 0002718113 scopus 로고    scopus 로고
    • Biomechanics of disk herniation and related issues
    • J.N. Weinstein S.L. Gordon American Academy of Orthopaedic Surgeons Rosemont, IL
    • V.K. Goel Biomechanics of disk herniation and related issues J.N. Weinstein S.L. Gordon Low Back Pain A Scientific and Clinical Overview 1996 American Academy of Orthopaedic Surgeons Rosemont, IL 289 304
    • (1996) Low Back Pain: A Scientific and Clinical Overview , pp. 289-304
    • Goel, V.K.1
  • 18
    • 0028953442 scopus 로고
    • Interlaminar shear stresses and laminae separation in a disc: Finite element analysis of the L3-L4 motion segment subjected to axial compressive loads
    • V.K. Goel, B.T. Monroe, L.G. Gilbertson, and P. Brinckmann Interlaminar shear stresses and laminae separation in a disc finite element analysis of the L3-L4 motion segment subjected to axial compressive loads Spine 20 6 1995 689 698
    • (1995) Spine , vol.20 , Issue.6 , pp. 689-698
    • Goel, V.K.1    Monroe, B.T.2    Gilbertson, L.G.3    Brinckmann, P.4
  • 19
    • 0025878995 scopus 로고
    • Application of homogenization theory to the study of trabecular bone mechanics
    • S.J. Hollister, D.P. Fyhrie, K.J. Jepsen, and S.A. Goldstein Application of homogenization theory to the study of trabecular bone mechanics Journal of Biomechanics 24 9 1991 825 839
    • (1991) Journal of Biomechanics , vol.24 , Issue.9 , pp. 825-839
    • Hollister, S.J.1    Fyhrie, D.P.2    Jepsen, K.J.3    Goldstein, S.A.4
  • 20
    • 0032924341 scopus 로고    scopus 로고
    • Diffusion tensor microscopy of the intervertebral disc annulus fibrosus
    • E.W. Hsu, and L.A. Setton Diffusion tensor microscopy of the intervertebral disc annulus fibrosus Magnetic Resonance in Medicine 41 5 1999 992 999
    • (1999) Magnetic Resonance in Medicine , vol.41 , Issue.5 , pp. 992-999
    • Hsu, E.W.1    Setton, L.A.2
  • 24
    • 0033213846 scopus 로고    scopus 로고
    • Application of a fiber-reinforced continuum theory to multiple deformations of the annulus fibrosus
    • S.M. Klisch, and J.C. Lotz Application of a fiber-reinforced continuum theory to multiple deformations of the annulus fibrosus Journal of Biomechanics 32 1999 1027 1036
    • (1999) Journal of Biomechanics , vol.32 , pp. 1027-1036
    • Klisch, S.M.1    Lotz, J.C.2
  • 25
    • 0017952657 scopus 로고
    • Structure-function relations in mammalian tendon: The effect of geometrical nonuniformity
    • Y. Lanir Structure-function relations in mammalian tendon the effect of geometrical nonuniformity Journal of Bioengineering 2 1-2 1978 119 128
    • (1978) Journal of Bioengineering , vol.2 , Issue.1-2 , pp. 119-128
    • Lanir, Y.1
  • 26
    • 0034307377 scopus 로고    scopus 로고
    • Impact response of the intervertebral disc in a finite-element model
    • C.K. Lee, Y. Eun Kim, C.S. Lee, and Y.M. Hong Impact response of the intervertebral disc in a finite-element model Spine 25 19 2000 2431 2439
    • (2000) Spine , vol.25 , Issue.19 , pp. 2431-2439
    • Lee, C.K.1    Eun Kim, Y.2    Lee, C.S.3    Hong, Y.M.4
  • 27
    • 0032005242 scopus 로고    scopus 로고
    • The effect of fluid loss on the viscoelastic behavior of the lumbar intervertebral disc in compression
    • Y.M. Lu, W.C. Hutton, and V.M. Gharpuray The effect of fluid loss on the viscoelastic behavior of the lumbar intervertebral disc in compression Journal of Biomechanical Engineering 120 1 1998 48 54
    • (1998) Journal of Biomechanical Engineering , vol.120 , Issue.1 , pp. 48-54
    • Lu, Y.M.1    Hutton, W.C.2    Gharpuray, V.M.3
  • 29
    • 33751276034 scopus 로고    scopus 로고
    • Microstructural model of perimysial collagen fibers for resting myocardial mechanics during ventricular filling
    • D.A. MacKenna, S.M. Vaplon, and A.D. McCulloch Microstructural model of perimysial collagen fibers for resting myocardial mechanics during ventricular filling American Journal of Physiology 273 3, Part 2 1997 H1576 H1586
    • (1997) American Journal of Physiology , vol.273 , Issue.3 PART 2
    • MacKenna, D.A.1    Vaplon, S.M.2    McCulloch, A.D.3
  • 30
    • 0025288751 scopus 로고
    • Investigation of the laminate structure of lumbar disc annulus fibrosus
    • F. Marchand, and A.M. Ahmed Investigation of the laminate structure of lumbar disc annulus fibrosus Spine 15 5 1990 402 410
    • (1990) Spine , vol.15 , Issue.5 , pp. 402-410
    • Marchand, F.1    Ahmed, A.M.2
  • 31
    • 0036104803 scopus 로고    scopus 로고
    • Effect of annular incision type on the change in biomechanical properties in a herniated lumbar intervertebral disc
    • R.N. Natarajan, G.B. Andersson, A.G. Patwardhan, and S. Verma Effect of annular incision type on the change in biomechanical properties in a herniated lumbar intervertebral disc Journal of Biomechanical Engineering 124 2 2002 229 236
    • (2002) Journal of Biomechanical Engineering , vol.124 , Issue.2 , pp. 229-236
    • Natarajan, R.N.1    Andersson, G.B.2    Patwardhan, A.G.3    Verma, S.4
  • 32
    • 0036567890 scopus 로고    scopus 로고
    • Microscopic symmetric bifurcation condition of cellular solids based on a homogenization theory of finite deformation
    • N. Ohno, D. Okumura, and H. Noguchi Microscopic symmetric bifurcation condition of cellular solids based on a homogenization theory of finite deformation Journal of the Mechanics and Physics of Solids 50 2002 1125 1153
    • (2002) Journal of the Mechanics and Physics of Solids , vol.50 , pp. 1125-1153
    • Ohno, N.1    Okumura, D.2    Noguchi, H.3
  • 33
    • 0001900385 scopus 로고
    • Physical properties and functional biomechanics of the spine
    • A.A. White M.M. Panjabi Lippincott Philadelphia
    • M.M. Panjabi, and A.A. White Physical properties and functional biomechanics of the spine A.A. White M.M. Panjabi Clinical Biomechanics of the Spine 1990 Lippincott Philadelphia 1 84
    • (1990) Clinical Biomechanics of the Spine , pp. 1-84
    • Panjabi, M.M.1    White, A.A.2
  • 34
    • 0026131325 scopus 로고
    • Influence of material properties on the mechanical behavior of the L5-S1 intervertebral disc in compression: A nonlinear finite element study
    • A.A. Rao, and G.A. Dumas Influence of material properties on the mechanical behavior of the L5-S1 intervertebral disc in compression a nonlinear finite element study Journal of Biomedical Engineering 13 1991 139 151
    • (1991) Journal of Biomedical Engineering , vol.13 , pp. 139-151
    • Rao, A.A.1    Dumas, G.A.2
  • 36
    • 0028472594 scopus 로고
    • Microstructural model for the elastic response of articular cartilage
    • M.H. Schwartz, P.H. Leo, and J.L. Lewis Microstructural model for the elastic response of articular cartilage Journal of Biomechanics 27 7 1994 865 873
    • (1994) Journal of Biomechanics , vol.27 , Issue.7 , pp. 865-873
    • Schwartz, M.H.1    Leo, P.H.2    Lewis, J.L.3
  • 37
    • 0024336656 scopus 로고
    • On the fibre composite material models of disc annulus - Comparison of predicted stresses
    • A. Shirazi-Adl On the fibre composite material models of disc annulus - comparison of predicted stresses Journal of Biomechanics 22 4 1989 357 365
    • (1989) Journal of Biomechanics , vol.22 , Issue.4 , pp. 357-365
    • Shirazi-Adl, A.1
  • 38
    • 0028387380 scopus 로고
    • Nonlinear stress analysis of the whole lumbar spine in torsion - Mechanics of facet articulation
    • A. Shirazi-Adl Nonlinear stress analysis of the whole lumbar spine in torsion - mechanics of facet articulation Journal of Biomechanics 27 3 1994 289 299
    • (1994) Journal of Biomechanics , vol.27 , Issue.3 , pp. 289-299
    • Shirazi-Adl, A.1
  • 39
    • 0021246233 scopus 로고
    • Stress analysis of the lumbar disc-body unit in compression: A 3D nonlinear finite element study
    • S.A. Shirazi-Adl, S.C. Shrivastava, and A.M. Ahmed Stress analysis of the lumbar disc-body unit in compression a 3D nonlinear finite element study Spine 9 2 1984 120 134
    • (1984) Spine , vol.9 , Issue.2 , pp. 120-134
    • Shirazi-Adl, S.A.1    Shrivastava, S.C.2    Ahmed, A.M.3
  • 40
    • 0028499421 scopus 로고
    • Materials with prescribed constitutive parameters: An inverse homogenization problem
    • O. Sigmund Materials with prescribed constitutive parameters an inverse homogenization problem International Journal of Solids and Structures 31 1994 2313 2329
    • (1994) International Journal of Solids and Structures , vol.31 , pp. 2313-2329
    • Sigmund, O.1
  • 41
    • 0028239634 scopus 로고
    • Regional variation in tensile properties and biochemical composition of the human lumbar annulus fibrosus
    • D.L. Skaggs, M. Weidenbaum, J.C. Iatridis, and A. Ratcliffe Regional variation in tensile properties and biochemical composition of the human lumbar annulus fibrosus Spine 19 12 1994 1310 1319
    • (1994) Spine , vol.19 , Issue.12 , pp. 1310-1319
    • Skaggs, D.L.1    Weidenbaum, M.2    Iatridis, J.C.3    Ratcliffe, A.4
  • 43
    • 0022671943 scopus 로고
    • Material constants for a finite element model of the intervertebral disc with a fiber composite annulus
    • R.L. Spilker, D.M. Jakobs, and A.B. Schultz Material constants for a finite element model of the intervertebral disc with a fiber composite annulus Journal of Biomechanical Engineering 108 1986 1 11
    • (1986) Journal of Biomechanical Engineering , vol.108 , pp. 1-11
    • Spilker, R.L.1    Jakobs, D.M.2    Schultz, A.B.3
  • 45
    • 0027478723 scopus 로고
    • Structural variation of the anterior and posterior annulus fibrosus in the development of human lumbar intervertebral disc
    • H. Tsuji, N. Hirano, H. Ohshima, and H. Ishihara Structural variation of the anterior and posterior annulus fibrosus in the development of human lumbar intervertebral disc Spine 18 2 1993 204 210
    • (1993) Spine , vol.18 , Issue.2 , pp. 204-210
    • Tsuji, H.1    Hirano, N.2    Ohshima, H.3    Ishihara, H.4
  • 46
    • 0002805253 scopus 로고    scopus 로고
    • Mechanical behavior of the intervertebral disc and the effects of degeneration
    • J.N. Weinstein S.L. Gordon American Academy of Orthopaedic Surgeons Rosemont IL
    • M. Weidenbaum, J. Iatridis, L.A. Setton, and R.J. Foster Mechanical behavior of the intervertebral disc and the effects of degeneration J.N. Weinstein S.L. Gordon Low Back Pain A Scientific and Clinical Overview 1996 American Academy of Orthopaedic Surgeons Rosemont IL 557 582
    • (1996) Low Back Pain: A Scientific and Clinical Overview , pp. 557-582
    • Weidenbaum, M.1    Iatridis, J.2    Setton, L.A.3    Foster, R.J.4
  • 47
    • 0016881773 scopus 로고
    • Mechanical behavior of the human annulus fibrosus
    • H.C. Wu, and R.F. Yao Mechanical behavior of the human annulus fibrosus Journal of Biomechanics 9 1976 1 7
    • (1976) Journal of Biomechanics , vol.9 , pp. 1-7
    • Wu, H.C.1    Yao, R.F.2
  • 48
    • 0036269585 scopus 로고    scopus 로고
    • Elastic anisotropy of articular cartilage is associated with the microstructures of collagen fibers and chondrocytes
    • J.Z. Wu, and W. Herzog Elastic anisotropy of articular cartilage is associated with the microstructures of collagen fibers and chondrocytes Journal of Biomechanics 35 7 2002 931 942
    • (2002) Journal of Biomechanics , vol.35 , Issue.7 , pp. 931-942
    • Wu, J.Z.1    Herzog, W.2
  • 49
    • 0035416177 scopus 로고    scopus 로고
    • Optimality criteria method for topology optimization under multiple constraints
    • L. Yin, and W. Yang Optimality criteria method for topology optimization under multiple constraints Computers and Structures 79 2001 1839 1850
    • (2001) Computers and Structures , vol.79 , pp. 1839-1850
    • Yin, L.1    Yang, W.2


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