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Volumn 129, Issue 5, 2007, Pages 632-641

Hyperelastic anisotropic microplane constitutive model for annulus fibrosus

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPIC HYPERELASTIC CONSTITUTIVE MODEL; MICROPLANE MODEL;

EID: 35548978471     PISSN: 01480731     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.2768378     Document Type: Article
Times cited : (37)

References (58)
  • 2
    • 0024782770 scopus 로고
    • Hierarchical Structure of the Intervertebral Disk
    • Cassidy, J. J., Hiltner, A., and Baer, E., 1989, "Hierarchical Structure of the Intervertebral Disk," Connect. Tissue Res., 23, pp. 75-88.
    • (1989) Connect. Tissue Res , vol.23 , pp. 75-88
    • Cassidy, J.J.1    Hiltner, A.2    Baer, E.3
  • 3
    • 0018942099 scopus 로고
    • X-Ray Diffraction Studies of the Arrangement of Collagenous Fibers in Human Fetal Intervertebral Disc
    • Hickey, D. S., and Hukins, D. W. L., 1980, "X-Ray Diffraction Studies of the Arrangement of Collagenous Fibers in Human Fetal Intervertebral Disc," J. Anat., 131, pp. 81-90.
    • (1980) J. Anat , vol.131 , pp. 81-90
    • Hickey, D.S.1    Hukins, D.W.L.2
  • 4
    • 14844341938 scopus 로고    scopus 로고
    • Mechanical Conditions That Accelerate Intervertebral Disc Degeneration: Overload vs. Immobilization
    • Stokes, I. A., and Iatridis, J. C., 2004, "Mechanical Conditions That Accelerate Intervertebral Disc Degeneration: Overload vs. Immobilization," Spine, 29(23), pp. 2724-2732.
    • (2004) Spine , vol.29 , Issue.23 , pp. 2724-2732
    • Stokes, I.A.1    Iatridis, J.C.2
  • 5
    • 1942424247 scopus 로고    scopus 로고
    • Degeneration of Intervertebral Discs Due to Smoking: Experimental Assessment in a Rat-Smoking Model
    • Oda, H., Matsuzaki, H., Tokuhashi, Y., Wakabayashi, K., Uematsu, Y., and Iwahashi, M., 2004, "Degeneration of Intervertebral Discs Due to Smoking: Experimental Assessment in a Rat-Smoking Model," J. Orthop. Sci., 9(2), pp. 135-141.
    • (2004) J. Orthop. Sci , vol.9 , Issue.2 , pp. 135-141
    • Oda, H.1    Matsuzaki, H.2    Tokuhashi, Y.3    Wakabayashi, K.4    Uematsu, Y.5    Iwahashi, M.6
  • 6
    • 0031972961 scopus 로고    scopus 로고
    • Anterior Interbody Fusion With the BAK-Cage in Cervical Spondylosis
    • Matge, G., 1998, "Anterior Interbody Fusion With the BAK-Cage in Cervical Spondylosis," Acta Neurochir., 140(1), pp. 1-8.
    • (1998) Acta Neurochir , vol.140 , Issue.1 , pp. 1-8
    • Matge, G.1
  • 7
    • 2342504406 scopus 로고    scopus 로고
    • Two-Level Artificial Disc Placement for Spondylotic Cervical Myelopathy
    • Sekhon, L. H. S., 2004, "Two-Level Artificial Disc Placement for Spondylotic Cervical Myelopathy," J. Neuropsychiatry Clin. Neurosci., 11(4), pp. 412-415.
    • (2004) J. Neuropsychiatry Clin. Neurosci , vol.11 , Issue.4 , pp. 412-415
    • Sekhon, L.H.S.1
  • 8
    • 0014037758 scopus 로고
    • Tensile Properties of the Human Lumbar Annulus Fibrosus
    • Galante, J. O., 1967, "Tensile Properties of the Human Lumbar Annulus Fibrosus," Acta Orthop. Scand. Suppl., 100, pp. 4-91.
    • (1967) Acta Orthop. Scand. Suppl , vol.100 , pp. 4-91
    • Galante, J.O.1
  • 9
    • 0016881773 scopus 로고
    • Mechanical Behavior of the Human Annulus Fibrosis
    • Wu, H. C., and Yao, R. F., 1976, "Mechanical Behavior of the Human Annulus Fibrosis," ASME J. Biomech. Eng., 9, pp. 1-7.
    • (1976) ASME J. Biomech. Eng , vol.9 , pp. 1-7
    • Wu, H.C.1    Yao, R.F.2
  • 10
    • 0027522181 scopus 로고
    • Tensile Properties of the Annulus Fibrosus: I. The Contribution of Fiber-Matrix Interactions to Tensile Stiffness and Strength
    • Adams, M. A., and Green, T. P., 1993, "Tensile Properties of the Annulus Fibrosus: I. The Contribution of Fiber-Matrix Interactions to Tensile Stiffness and Strength," Eur. Spine J., 2, pp. 203-208.
    • (1993) Eur. Spine J , vol.2 , pp. 203-208
    • Adams, M.A.1    Green, T.P.2
  • 11
    • 0027371253 scopus 로고
    • Tensile Properties of the Annulus Fibrosus: II. Ultimate Tensile Strength and Fatigue Life
    • Green, T. P., Adams, M. A., and Dolan, P., 1993, "Tensile Properties of the Annulus Fibrosus: II. Ultimate Tensile Strength and Fatigue Life," Eur. Spine J., 2, pp. 209-214.
    • (1993) Eur. Spine J , vol.2 , pp. 209-214
    • Green, T.P.1    Adams, M.A.2    Dolan, P.3
  • 12
    • 0028239634 scopus 로고
    • Regional Variation in Tensile Properties and Biochemical Composition of the Human Lumbar Annulus Fibrosus
    • Skaggs, D. L., Weidenbaum, M., Iatridis, J. C., Ratcliffe, A., and Mow, V. C., 1994, "Regional Variation in Tensile Properties and Biochemical Composition of the Human Lumbar Annulus Fibrosus," Spine, 19, pp. 1310-1319.
    • (1994) Spine , vol.19 , pp. 1310-1319
    • Skaggs, D.L.1    Weidenbaum, M.2    Iatridis, J.C.3    Ratcliffe, A.4    Mow, V.C.5
  • 13
    • 0029564343 scopus 로고
    • Degeneration and Aging Affect the Tensile Behavior of Human Lumbar Annulus Fibrosus
    • Acaroglu, E. R., Iatridis, J. C., Setton, L. A., Foster, R. J., Mow, V. C., and Weidenbaum, M., 1995, "Degeneration and Aging Affect the Tensile Behavior of Human Lumbar Annulus Fibrosus," Spine, 20, pp. 2690-2701.
    • (1995) Spine , vol.20 , pp. 2690-2701
    • Acaroglu, E.R.1    Iatridis, J.C.2    Setton, L.A.3    Foster, R.J.4    Mow, V.C.5    Weidenbaum, M.6
  • 14
    • 0030024694 scopus 로고    scopus 로고
    • Tensile Properties of Nondegenerate Human Lumbar Annulus Fibrosus
    • Ebara, S., Iatridis, I. C., Setton, L. A., Foster, R. J., Mow, V. C., and Weidenbaum, M., 1996, "Tensile Properties of Nondegenerate Human Lumbar Annulus Fibrosus," Spine, 21, pp. 452-461.
    • (1996) Spine , vol.21 , pp. 452-461
    • Ebara, S.1    Iatridis, I.C.2    Setton, L.A.3    Foster, R.J.4    Mow, V.C.5    Weidenbaum, M.6
  • 15
    • 0034208513 scopus 로고    scopus 로고
    • Anisotropic Shear Behavior of the Annulus Fibrosus: Effect of Harvest Site and Tissue Prestrain
    • Fujita, Y., Wagner, D. R., Biviji, A. A., Duncan, N. A., and Lotz, J. C., 2000, "Anisotropic Shear Behavior of the Annulus Fibrosus: Effect of Harvest Site and Tissue Prestrain," Med. Eng. Phys., 22, pp. 349-357.
    • (2000) Med. Eng. Phys , vol.22 , pp. 349-357
    • Fujita, Y.1    Wagner, D.R.2    Biviji, A.A.3    Duncan, N.A.4    Lotz, J.C.5
  • 16
    • 5444258585 scopus 로고    scopus 로고
    • Biaxial Testing of Human Annulus Fibrosus and its Implications for a Constitutive Formulation
    • Bass, E. C., Ashford, F. A., Segal, M. R., and Lotz, J. C., 2004, "Biaxial Testing of Human Annulus Fibrosus and its Implications for a Constitutive Formulation," Ann. Biomed. Eng., 32, pp. 1231-1242.
    • (2004) Ann. Biomed. Eng , vol.32 , pp. 1231-1242
    • Bass, E.C.1    Ashford, F.A.2    Segal, M.R.3    Lotz, J.C.4
  • 20
    • 0034434740 scopus 로고    scopus 로고
    • A New Constitutive Framework for Arterial Wall Mechanics and a Comparative Study of Material Models
    • Holzapfel, G. A., Gasser, T. C., and Ogden, R. W., 2000, "A New Constitutive Framework for Arterial Wall Mechanics and a Comparative Study of Material Models," J. Elast., 61, pp. 1-48.
    • (2000) J. Elast , vol.61 , pp. 1-48
    • Holzapfel, G.A.1    Gasser, T.C.2    Ogden, R.W.3
  • 21
    • 0036815599 scopus 로고    scopus 로고
    • A Rate-Independent Elastoplastic Constitutive Model for Biological Fiber-Reinforced Composites at Finite Strains: Continuum Basis, Algorithmic Formulation and Finite Element Implementation
    • Gasser, T. C., and Holzapfel, G. A., 2002, "A Rate-Independent Elastoplastic Constitutive Model for Biological Fiber-Reinforced Composites at Finite Strains: Continuum Basis, Algorithmic Formulation and Finite Element Implementation," Comput. Mech., 29, pp. 340-360.
    • (2002) Comput. Mech , vol.29 , pp. 340-360
    • Gasser, T.C.1    Holzapfel, G.A.2
  • 22
    • 5444242036 scopus 로고    scopus 로고
    • Multi-Segment FEA of the Human Lumbar Spine Including the Heterogeneity of the Annulus Fibrosus
    • Eberlein, R., Holzapfel, G. A., and Fröhlich, M., 2004, "Multi-Segment FEA of the Human Lumbar Spine Including the Heterogeneity of the Annulus Fibrosus," Comput. Mech., 34, pp. 147-163.
    • (2004) Comput. Mech , vol.34 , pp. 147-163
    • Eberlein, R.1    Holzapfel, G.A.2    Fröhlich, M.3
  • 23
    • 0034176422 scopus 로고    scopus 로고
    • A Linear Material Model for Fiber-Induced Anisotropy of the Annulus Fibrosus
    • Elliott, D. M., and Setton, L. A., 2000, "A Linear Material Model for Fiber-Induced Anisotropy of the Annulus Fibrosus," ASME J. Biomech. Eng., 122, pp. 173-179.
    • (2000) ASME J. Biomech. Eng , vol.122 , pp. 173-179
    • Elliott, D.M.1    Setton, L.A.2
  • 24
    • 0034954339 scopus 로고    scopus 로고
    • Anisotropic and Inhomogeneous Tensile Behavior of the Human Annulus Fibrosus: Experiments Measurement and Material Model Predictions
    • Elliott, D. M., and Setton, L. A., 2001, "Anisotropic and Inhomogeneous Tensile Behavior of the Human Annulus Fibrosus: Experiments Measurement and Material Model Predictions," ASME J. Biomech. Eng., 123, pp. 256-263.
    • (2001) ASME J. Biomech. Eng , vol.123 , pp. 256-263
    • Elliott, D.M.1    Setton, L.A.2
  • 25
    • 2942616965 scopus 로고    scopus 로고
    • A Nonlinear Hyperelastic Mixture Theory for Anisotropy, Transport, and Swelling of Annulus Fibrosus
    • Sun, D. N., and Leong, K. W., 2004, "A Nonlinear Hyperelastic Mixture Theory for Anisotropy, Transport, and Swelling of Annulus Fibrosus," Ann. Biomed. Eng., 32, pp. 92-102.
    • (2004) Ann. Biomed. Eng , vol.32 , pp. 92-102
    • Sun, D.N.1    Leong, K.W.2
  • 26
    • 35548964002 scopus 로고    scopus 로고
    • Swelling of an Internally Pressurized Nonlinearly Elastic Tube With Fiber Reinforcing
    • in press
    • Demirkoparan, H., and Pence, T. J., 2006, "Swelling of an Internally Pressurized Nonlinearly Elastic Tube With Fiber Reinforcing," Int. J. Solids Struct., in press.
    • (2006) Int. J. Solids Struct
    • Demirkoparan, H.1    Pence, T.J.2
  • 27
    • 34247530697 scopus 로고    scopus 로고
    • The Effect of Fiber Recruitment on the Swelling of a Pressurized Anisotropic Nonlinearly Elastic Tube
    • Demirkoparan, H., and Pence, T. J., 2007, "The Effect of Fiber Recruitment on the Swelling of a Pressurized Anisotropic Nonlinearly Elastic Tube," Int. J. Non-Linear Mech., 42(2), pp. 258-270.
    • (2007) Int. J. Non-Linear Mech , vol.42 , Issue.2 , pp. 258-270
    • Demirkoparan, H.1    Pence, T.J.2
  • 28
    • 2942594377 scopus 로고    scopus 로고
    • Theoretical Model and Experimental Results for the Nonlinear Elastic Behavior of Human Annulus Fibrosus
    • Wagner, D. R., and Lotz, J. C., 2004, "Theoretical Model and Experimental Results for the Nonlinear Elastic Behavior of Human Annulus Fibrosus," J. Orthop. Res., 22, pp. 901-909.
    • (2004) J. Orthop. Res , vol.22 , pp. 901-909
    • Wagner, D.R.1    Lotz, J.C.2
  • 29
    • 0033804203 scopus 로고    scopus 로고
    • Biaxial Mechanical Properties of the Natural and Glutaraldehyde Treated Aortic Valve Cusp. Part II: A Structural Constitutive Model
    • Billiar, K. L., and Sacks, M. S., 2000, "Biaxial Mechanical Properties of the Natural and Glutaraldehyde Treated Aortic Valve Cusp. Part II: A Structural Constitutive Model," ASME J. Biomech. Eng., 122, pp. 327-335.
    • (2000) ASME J. Biomech. Eng , vol.122 , pp. 327-335
    • Billiar, K.L.1    Sacks, M.S.2
  • 30
    • 0037397670 scopus 로고    scopus 로고
    • Incorporation of Experimentally Derived Fiber Orientation Into a Structural Constitutive Model for Planar Collagenous Tissues
    • Sacks, M. S., 2003, "Incorporation of Experimentally Derived Fiber Orientation Into a Structural Constitutive Model for Planar Collagenous Tissues," J. Biomed. Eng., 125, pp. 280-287.
    • (2003) J. Biomed. Eng , vol.125 , pp. 280-287
    • Sacks, M.S.1
  • 31
    • 33745463261 scopus 로고    scopus 로고
    • Microplane Constitutive Model and Computational Framework for Blood Vessel Tissue
    • Caner, F. C., and Carol, I., 2006, "Microplane Constitutive Model and Computational Framework for Blood Vessel Tissue," ASME J. Biomech. Eng., 128(3), pp. 419-427.
    • (2006) ASME J. Biomech. Eng , vol.128 , Issue.3 , pp. 419-427
    • Caner, F.C.1    Carol, I.2
  • 32
    • 18444380076 scopus 로고    scopus 로고
    • A Structural Constitutive Model for Collageneous Cardiovascular Tissue Incorporating the Angular Fiber Distribution
    • Driessen, N. J. B., Bouten, C. V. C., and Baaijens, F. P. T., 2005, "A Structural Constitutive Model for Collageneous Cardiovascular Tissue Incorporating the Angular Fiber Distribution," ASME J. Biomech. Eng., 127, pp. 494-503.
    • (2005) ASME J. Biomech. Eng , vol.127 , pp. 494-503
    • Driessen, N.J.B.1    Bouten, C.V.C.2    Baaijens, F.P.T.3
  • 33
    • 33745171176 scopus 로고    scopus 로고
    • Gasser, C. T., Ogden, R. W., and Holzapfel, G., 2006, Hyperelastic Modelling of Arterial Layers With Distributed Collagen Fibre Orientations., J. R. Soc., Interface, 3(6), pp. 15-35.
    • Gasser, C. T., Ogden, R. W., and Holzapfel, G., 2006, "Hyperelastic Modelling of Arterial Layers With Distributed Collagen Fibre Orientations.," J. R. Soc., Interface, 3(6), pp. 15-35.
  • 34
    • 33748429059 scopus 로고    scopus 로고
    • An Anisotropic Hyperelastic Constitutive Model With Fiber-Matrix Interaction for the Human Annulus Fibrosis
    • Peng, X. Q., Guo, Z. Y., and Moran, B., 2006, "An Anisotropic Hyperelastic Constitutive Model With Fiber-Matrix Interaction for the Human Annulus Fibrosis," ASME J. Appl. Mech., 73(5), pp. 815-824.
    • (2006) ASME J. Appl. Mech , vol.73 , Issue.5 , pp. 815-824
    • Peng, X.Q.1    Guo, Z.Y.2    Moran, B.3
  • 35
    • 33745180485 scopus 로고    scopus 로고
    • A Composites-Based Hyperelastic Constitutive Model for Soft Tissue With Application to the Human Annulus Fibrosis
    • Guo, Z. Y., Peng, X. Q., and Moran, B., 2006, "A Composites-Based Hyperelastic Constitutive Model for Soft Tissue With Application to the Human Annulus Fibrosis," J. Mech. Phys. Solids, 54(9), pp. 1952-1971.
    • (2006) J. Mech. Phys. Solids , vol.54 , Issue.9 , pp. 1952-1971
    • Guo, Z.Y.1    Peng, X.Q.2    Moran, B.3
  • 36
    • 33846525453 scopus 로고    scopus 로고
    • Mechanical Response of Neo-Hookean Fiber Reinforced Incompressible Nonlinearly Elastic Solids
    • Guo, Z. Y., Peng, X. Q., and Moran, B., 2007, "Mechanical Response of Neo-Hookean Fiber Reinforced Incompressible Nonlinearly Elastic Solids," Int. J. Solids Struct., 44(6), pp. 1949-1969.
    • (2007) Int. J. Solids Struct , vol.44 , Issue.6 , pp. 1949-1969
    • Guo, Z.Y.1    Peng, X.Q.2    Moran, B.3
  • 37
    • 34447309313 scopus 로고    scopus 로고
    • Large Deformation Response of a Hyperelastic Fibre Reinforced Composite: Theoretical Model and Numerical Validation
    • Guo, Z. Y., Peng, X. Q., and Moran, B., 2007, "Large Deformation Response of a Hyperelastic Fibre Reinforced Composite: Theoretical Model and Numerical Validation," Composites, Part A, 38, pp. 1842-1851.
    • (2007) Composites, Part A , vol.38 , pp. 1842-1851
    • Guo, Z.Y.1    Peng, X.Q.2    Moran, B.3
  • 38
    • 0347478130 scopus 로고    scopus 로고
    • A Framework for Microplane Models at Large Strain, With Application to Hyperelasticity
    • Carol, I., Jirásek, M., and Bažant, Z. P., 2004, "A Framework for Microplane Models at Large Strain, With Application to Hyperelasticity," Int. J. Solids Struct., 41(2), pp. 511-557.
    • (2004) Int. J. Solids Struct , vol.41 , Issue.2 , pp. 511-557
    • Carol, I.1    Jirásek, M.2    Bažant, Z.P.3
  • 41
    • 0034283204 scopus 로고    scopus 로고
    • Microplane Model M4 for Concrete. I: Formulation With Work-Conjugate Deviatoric Stress
    • Bažant, Z. P., Caner, F. C., Carol, I., Adley, M. D., and Akers, S. A., 2000, "Microplane Model M4 for Concrete. I: Formulation With Work-Conjugate Deviatoric Stress," J. Eng. Mech., 126(9), pp. 944-953.
    • (2000) J. Eng. Mech , vol.126 , Issue.9 , pp. 944-953
    • Bažant, Z.P.1    Caner, F.C.2    Carol, I.3    Adley, M.D.4    Akers, S.A.5
  • 42
    • 0034283047 scopus 로고    scopus 로고
    • Microplane Model M4 for Concrete. II: Algorithm and Calibration
    • Caner, F. C., and Bažant, Z. P., 2000, "Microplane Model M4 for Concrete. II: Algorithm and Calibration," J. Eng. Mech., 126(9), pp. 954-961.
    • (2000) J. Eng. Mech , vol.126 , Issue.9 , pp. 954-961
    • Caner, F.C.1    Bažant, Z.P.2
  • 43
    • 35548962502 scopus 로고    scopus 로고
    • Bažant, Z. P., and Zi, G.-S., 2003, Microplane Constitutive Model for Porous Isotropic Rocks, J. Geophys. Res., [Solid Earth], 108(B2), pp. 2119-2129.
    • Bažant, Z. P., and Zi, G.-S., 2003, "Microplane Constitutive Model for Porous Isotropic Rocks," J. Geophys. Res., [Solid Earth], 108(B2), pp. 2119-2129.
  • 44
    • 0001309163 scopus 로고    scopus 로고
    • Microplane Constitutive Model and Metal Plasticity
    • Brocca, M., and Bažant, Z. P., 2000, "Microplane Constitutive Model and Metal Plasticity," Appl. Mech. Rev., 53(10), pp. 265-281.
    • (2000) Appl. Mech. Rev , vol.53 , Issue.10 , pp. 265-281
    • Brocca, M.1    Bažant, Z.P.2
  • 45
    • 0036567878 scopus 로고    scopus 로고
    • Three-Dimensional Constitutive Model for Shape Memory Alloys Based on Microplane Model
    • Brocca, M., Brinson, L. C., and Bažant, Z. P., 2002, "Three-Dimensional Constitutive Model for Shape Memory Alloys Based on Microplane Model," J. Pharm. Sci., 50(5), pp. 1051-1077.
    • (2002) J. Pharm. Sci , vol.50 , Issue.5 , pp. 1051-1077
    • Brocca, M.1    Brinson, L.C.2    Bažant, Z.P.3
  • 46
    • 0036171006 scopus 로고    scopus 로고
    • Vertex Effect in Strain-Softening Concrete at Rotating Principal Axes
    • Caner, F. C., Bažant, Z. P., and Červenka, I., 2002, "Vertex Effect in Strain-Softening Concrete at Rotating Principal Axes," J. Eng. Mech., 128(1), pp. 24-33.
    • (2002) J. Eng. Mech , vol.128 , Issue.1 , pp. 24-33
    • Caner, F.C.1    Bažant, Z.P.2    Červenka, I.3
  • 47
    • 16344381430 scopus 로고    scopus 로고
    • Structural and Numerical Models for the (Visco)Elastic Response of Arterial Walls and Residual Stresses
    • G. A. Holzapfel and R. W. Ogden, eds, Springer, New York, pp
    • Holzapfel, G. A., 2003, "Structural and Numerical Models for the (Visco)Elastic Response of Arterial Walls and Residual Stresses," Biomechanics of Soft Tissue in Cardiovascular Systems, G. A. Holzapfel and R. W. Ogden, eds., Springer, New York, pp. 109-184.
    • (2003) Biomechanics of Soft Tissue in Cardiovascular Systems , pp. 109-184
    • Holzapfel, G.A.1
  • 49
    • 0001567544 scopus 로고
    • Volume Changes Associated With the Deformation of Rubber-Like Solids
    • Ogden, R. W., 1976, "Volume Changes Associated With the Deformation of Rubber-Like Solids," J. Mech. Phys. Solids, 24, pp. 323-338.
    • (1976) J. Mech. Phys. Solids , vol.24 , pp. 323-338
    • Ogden, R.W.1
  • 50
    • 0018296657 scopus 로고
    • A Finite Element Approach for Large Strains of Nearly Incompressible Rubber-Like Materials
    • Cescotto, S., and Fonder, G., 1979, "A Finite Element Approach for Large Strains of Nearly Incompressible Rubber-Like Materials," Int. J. Solids Struct., 15, pp. 589-605.
    • (1979) Int. J. Solids Struct , vol.15 , pp. 589-605
    • Cescotto, S.1    Fonder, G.2
  • 51
    • 0023170746 scopus 로고
    • A Finite Element Formulation for Nonlinear Incompressible Elastic and Inelastic Analysis
    • Sussman, T., and Bathe, K., 1987, "A Finite Element Formulation for Nonlinear Incompressible Elastic and Inelastic Analysis," Comput. Struct., 26, pp. 357-409.
    • (1987) Comput. Struct , vol.26 , pp. 357-409
    • Sussman, T.1    Bathe, K.2
  • 52
    • 0029369354 scopus 로고
    • Adaptive Dynamic Relaxation Algorithm for Non-Linear Hyperelastic Structures Part I: Formulation
    • Oakley, D. R., and Knight, N. F., 1995, "Adaptive Dynamic Relaxation Algorithm for Non-Linear Hyperelastic Structures Part I: Formulation," Comput. Methods Appl. Mech. Eng., 126, pp. 67-89.
    • (1995) Comput. Methods Appl. Mech. Eng , vol.126 , pp. 67-89
    • Oakley, D.R.1    Knight, N.F.2
  • 53
    • 35548951113 scopus 로고    scopus 로고
    • private communication
    • Bažant, Z. P., 2005, private communication.
    • (2005)
    • Bažant, Z.P.1
  • 55
    • 0022593796 scopus 로고
    • Efficient Numerical Integration on the Surface of a Sphere
    • Bažant, Z. P., and Oh, B.-H., 1986, "Efficient Numerical Integration on the Surface of a Sphere," ZAMM, 66(1), pp. 37-49.
    • (1986) ZAMM , vol.66 , Issue.1 , pp. 37-49
    • Bažant, Z.P.1    Oh, B.-H.2
  • 56
    • 0242352561 scopus 로고    scopus 로고
    • Finite Element Model of Mechanically Induced Collagen Fiber Synthesis and Degradation in the Aortic Valve
    • Boerboom, R., Driessen, N., Bouten, C. V. C., Huyghe, J. M., and Baaijens, F. P. T., 2003, "Finite Element Model of Mechanically Induced Collagen Fiber Synthesis and Degradation in the Aortic Valve," Ann. Biomed. Eng., 31(9), pp. 1040-1053.
    • (2003) Ann. Biomed. Eng , vol.31 , Issue.9 , pp. 1040-1053
    • Boerboom, R.1    Driessen, N.2    Bouten, C.V.C.3    Huyghe, J.M.4    Baaijens, F.P.T.5
  • 57
    • 3042792524 scopus 로고    scopus 로고
    • Cell Orientation Influences the Biaxial Mechanical Properties of Fibroblast Populated Collagen Vessels
    • Wagenseil, J. E., Elson, E. L., and Okamoto, R. J., 2004, "Cell Orientation Influences the Biaxial Mechanical Properties of Fibroblast Populated Collagen Vessels," Ann. Biomed. Eng., 32(5), pp. 720-731.
    • (2004) Ann. Biomed. Eng , vol.32 , Issue.5 , pp. 720-731
    • Wagenseil, J.E.1    Elson, E.L.2    Okamoto, R.J.3
  • 58
    • 0037212674 scopus 로고    scopus 로고
    • Cell Orientation Determines the Alignment of Cell-Produced Collagenous Matrix
    • Wang, J. H. C., Jia, F., Gilbert, T. W., and Woo, S. L., 2003, "Cell Orientation Determines the Alignment of Cell-Produced Collagenous Matrix," ASME J. Biomech. Eng., 36(1), pp. 97-102.
    • (2003) ASME J. Biomech. Eng , vol.36 , Issue.1 , pp. 97-102
    • Wang, J.H.C.1    Jia, F.2    Gilbert, T.W.3    Woo, S.L.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.