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Volumn 66, Issue 9, 2006, Pages 1212-1218

Elastic properties of nanocomposite structure of bone

Author keywords

Bone; Elastic properties; Nanostructure; Stiffness

Indexed keywords

BONE; CRYSTAL MICROSTRUCTURE; ELASTICITY; FINITE ELEMENT METHOD; MATHEMATICAL MODELS; STIFFNESS;

EID: 33745248007     PISSN: 02663538     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compscitech.2005.10.017     Document Type: Article
Times cited : (105)

References (49)
  • 2
    • 0031638368 scopus 로고    scopus 로고
    • The material bone: structure-mechanical function relations
    • Weiner S., and Wagner H.D. The material bone: structure-mechanical function relations. Ann Rev Mater Res 28 (1998) 271-298
    • (1998) Ann Rev Mater Res , vol.28 , pp. 271-298
    • Weiner, S.1    Wagner, H.D.2
  • 3
    • 0027277009 scopus 로고
    • Mineral and organic matrix interaction in normally calcifying tendon visualized in three dimensions by high-voltage electron microscopic tomography and graphic image reconstruction
    • Landis W.J., Song M.J., Leith A., McEwen L., and McEwen B.F. Mineral and organic matrix interaction in normally calcifying tendon visualized in three dimensions by high-voltage electron microscopic tomography and graphic image reconstruction. J Struct Biol 110 (1993) 39-54
    • (1993) J Struct Biol , vol.110 , pp. 39-54
    • Landis, W.J.1    Song, M.J.2    Leith, A.3    McEwen, L.4    McEwen, B.F.5
  • 4
    • 0029164301 scopus 로고
    • The strength of a calcified tissue depends in part on the molecular structure and organization of its constituent mineral crystals in their organic matrix
    • Landis W.J. The strength of a calcified tissue depends in part on the molecular structure and organization of its constituent mineral crystals in their organic matrix. Bone 16 (1995) 533-544
    • (1995) Bone , vol.16 , pp. 533-544
    • Landis, W.J.1
  • 6
    • 0345101431 scopus 로고    scopus 로고
    • Position resolved small-angle X-ray scattering of complex biological materials
    • Fratzl P., Jakob H.F., Rinnerthaler S., Roschger P., and Klaushofer K. Position resolved small-angle X-ray scattering of complex biological materials. J Appl Cryst 30 (1997) 765-769
    • (1997) J Appl Cryst , vol.30 , pp. 765-769
    • Fratzl, P.1    Jakob, H.F.2    Rinnerthaler, S.3    Roschger, P.4    Klaushofer, K.5
  • 7
    • 0037610831 scopus 로고    scopus 로고
    • Materials become insensitive to flaws at nanoscale: lessons from nature
    • Gao H., Ji B., Jäger I.L., Arzt E., and Fratzl P. Materials become insensitive to flaws at nanoscale: lessons from nature. Proc Natl Acad Sci USA 100 (2003) 5597-5600
    • (2003) Proc Natl Acad Sci USA , vol.100 , pp. 5597-5600
    • Gao, H.1    Ji, B.2    Jäger, I.L.3    Arzt, E.4    Fratzl, P.5
  • 8
    • 24744437800 scopus 로고    scopus 로고
    • Flaw tolerant in a thin strip under tension
    • Gao H., and Chen S. Flaw tolerant in a thin strip under tension. J Appl Mech 72 (2005) 732-737
    • (2005) J Appl Mech , vol.72 , pp. 732-737
    • Gao, H.1    Chen, S.2
  • 9
    • 0347477251 scopus 로고    scopus 로고
    • A study of fracture mechanisms in biological nano-composites via the virtual internal bond model
    • Ji B., and Gao H. A study of fracture mechanisms in biological nano-composites via the virtual internal bond model. Mater Sci Eng A 366 (2004) 96-103
    • (2004) Mater Sci Eng A , vol.366 , pp. 96-103
    • Ji, B.1    Gao, H.2
  • 10
    • 4143140028 scopus 로고    scopus 로고
    • Mechanical properties of nanostructure of biological materials
    • Ji B., and Gao H. Mechanical properties of nanostructure of biological materials. J Mech Phys Solids 52 (2004) 1963-1990
    • (2004) J Mech Phys Solids , vol.52 , pp. 1963-1990
    • Ji, B.1    Gao, H.2
  • 11
    • 11344270218 scopus 로고    scopus 로고
    • How do slender mineral crystals resist buckling in biological materials?
    • Ji B., Gao H., and Hsia K.J. How do slender mineral crystals resist buckling in biological materials?. Phil Mag Lett 84 10 (2004) 631-641
    • (2004) Phil Mag Lett , vol.84 , Issue.10 , pp. 631-641
    • Ji, B.1    Gao, H.2    Hsia, K.J.3
  • 12
    • 0037927919 scopus 로고    scopus 로고
    • Modeling fracture in nanomaterials via a virtual internal bond method
    • Gao H., and Ji B. Modeling fracture in nanomaterials via a virtual internal bond method. Eng Frac Mech 70 (2003) 1777-1791
    • (2003) Eng Frac Mech , vol.70 , pp. 1777-1791
    • Gao, H.1    Ji, B.2
  • 13
    • 84901259698 scopus 로고
    • Über die beziehung zwischen den beiden elasticitäts-constanten isotroper körper
    • Voigt W. Über die beziehung zwischen den beiden elasticitäts-constanten isotroper körper. Ann Phys 38 (1889) 573-587
    • (1889) Ann Phys , vol.38 , pp. 573-587
    • Voigt, W.1
  • 14
    • 84956078977 scopus 로고
    • Berechnung der fliebgrenze von mischkristallen auf grund der plastizitätsbedingung für einkristalle
    • Reuss A. Berechnung der fliebgrenze von mischkristallen auf grund der plastizitätsbedingung für einkristalle. ZAMM 9 (1929) 49-58
    • (1929) ZAMM , vol.9 , pp. 49-58
    • Reuss, A.1
  • 15
    • 0014781081 scopus 로고
    • On the strength and stiffness of planar reinforced resins
    • Padawer G.E., and Beecher N. On the strength and stiffness of planar reinforced resins. Polym Eng Sci 10 (1970) 185-192
    • (1970) Polym Eng Sci , vol.10 , pp. 185-192
    • Padawer, G.E.1    Beecher, N.2
  • 16
    • 84986980043 scopus 로고
    • The effect of flake aspect ratio on the flexural properties of mica reinforced plastics
    • Lusis J., Woodhams R.T., and Xanthos M. The effect of flake aspect ratio on the flexural properties of mica reinforced plastics. Polym Eng Sci 13 (1973) 139-145
    • (1973) Polym Eng Sci , vol.13 , pp. 139-145
    • Lusis, J.1    Woodhams, R.T.2    Xanthos, M.3
  • 17
    • 0007544668 scopus 로고
    • A variational approach to the theory of the elastic behavior of multiphase materials
    • Hashin Z., and Shtrikman S. A variational approach to the theory of the elastic behavior of multiphase materials. J Mech Phys Solids 11 (1963) 127-140
    • (1963) J Mech Phys Solids , vol.11 , pp. 127-140
    • Hashin, Z.1    Shtrikman, S.2
  • 18
    • 33747823105 scopus 로고
    • On elastic behavior of fiber reinforced materials of arbitrary transverse phase geometry
    • Hashin Z. On elastic behavior of fiber reinforced materials of arbitrary transverse phase geometry. J Mech Phys Solids 13 (1965) 119-134
    • (1965) J Mech Phys Solids , vol.13 , pp. 119-134
    • Hashin, Z.1
  • 19
    • 49949149864 scopus 로고
    • On bounds for the overall elastic moduli of inhomogeneous systems I
    • Walpole L.J. On bounds for the overall elastic moduli of inhomogeneous systems I. J Mech Phys Sol 14 (1966) 151-162
    • (1966) J Mech Phys Sol , vol.14 , pp. 151-162
    • Walpole, L.J.1
  • 20
    • 0000335923 scopus 로고
    • On bounds for the overall elastic moduli of inhomogeneous systems II
    • Walpole L.J. On bounds for the overall elastic moduli of inhomogeneous systems II. J Mech Phys Sol 14 (1966) 289-301
    • (1966) J Mech Phys Sol , vol.14 , pp. 289-301
    • Walpole, L.J.1
  • 21
    • 0015625688 scopus 로고
    • Average stress in matrix and average elastic energy of materials with misfitting inclusions
    • Mori T., and Tanaka K. Average stress in matrix and average elastic energy of materials with misfitting inclusions. Acta Metall 21 (1973) 571-574
    • (1973) Acta Metall , vol.21 , pp. 571-574
    • Mori, T.1    Tanaka, K.2
  • 22
    • 0025546810 scopus 로고
    • The theoretical connection between Mori-Tanaka theory and the Hashin-Shtrikman-Walpole bounds
    • Weng G.J. The theoretical connection between Mori-Tanaka theory and the Hashin-Shtrikman-Walpole bounds. Int J Eng Sci 28 (1990) 111-1120
    • (1990) Int J Eng Sci , vol.28 , pp. 111-1120
    • Weng, G.J.1
  • 23
    • 0345285907 scopus 로고
    • Theory of mechanical properties of fiber-strengthened materials. I.: elastic behavior
    • Hill R. Theory of mechanical properties of fiber-strengthened materials. I.: elastic behavior. J Mech Phys Solids 12 (1964) 199-212
    • (1964) J Mech Phys Solids , vol.12 , pp. 199-212
    • Hill, R.1
  • 24
    • 0016951210 scopus 로고
    • The Halpin-Tasi equations: review
    • Halpin J.C., and Kardos J.L. The Halpin-Tasi equations: review. Polym Eng Sci 16 (1976) 344-352
    • (1976) Polym Eng Sci , vol.16 , pp. 344-352
    • Halpin, J.C.1    Kardos, J.L.2
  • 25
    • 11644301964 scopus 로고
    • Environmental factors in composite materials design
    • Halpin J.C., and Tsai S.W. Environmental factors in composite materials design. AFML TR (1976) 67-423
    • (1976) AFML TR , pp. 67-423
    • Halpin, J.C.1    Tsai, S.W.2
  • 26
    • 0006200203 scopus 로고    scopus 로고
    • A comparison of homogenisation, Hashin-Shtrikman bounds and the Halpin-Tsai equations
    • Wall P. A comparison of homogenisation, Hashin-Shtrikman bounds and the Halpin-Tsai equations. Appl Math 4 (1997) 245-257
    • (1997) Appl Math , vol.4 , pp. 245-257
    • Wall, P.1
  • 27
    • 0000929676 scopus 로고
    • The determination of the elastic field of an ellipsoidal inclusion and related problems
    • Eshelby J.D. The determination of the elastic field of an ellipsoidal inclusion and related problems. Proc R Soc London A 241 (1957) 376-396
    • (1957) Proc R Soc London A , vol.241 , pp. 376-396
    • Eshelby, J.D.1
  • 28
    • 11644304284 scopus 로고
    • A self-consistent mechanics of composite materials
    • Hill R. A self-consistent mechanics of composite materials. J Mech Phys Solids 13 (1965) 213-222
    • (1965) J Mech Phys Solids , vol.13 , pp. 213-222
    • Hill, R.1
  • 29
    • 0018506068 scopus 로고
    • Solution for effective shear properties in three phase sphere and cylinder models
    • Christensen R.M., and Lo K.H. Solution for effective shear properties in three phase sphere and cylinder models. J Mech Phys Solids 27 (1979) 315-330
    • (1979) J Mech Phys Solids , vol.27 , pp. 315-330
    • Christensen, R.M.1    Lo, K.H.2
  • 30
    • 0009151224 scopus 로고    scopus 로고
    • Closed-form interacting solutions for overall elastic moduli of composite materials with multi-phase inclusions, holes, and microcracks
    • Zheng Q.-S., and Du D.-X. Closed-form interacting solutions for overall elastic moduli of composite materials with multi-phase inclusions, holes, and microcracks. Key Eng Mater 145-149 (1998) 479-488
    • (1998) Key Eng Mater , vol.145-149 , pp. 479-488
    • Zheng, Q.-S.1    Du, D.-X.2
  • 31
    • 0035500955 scopus 로고    scopus 로고
    • An explicit and universally applicable estimate for the effective properties of multiphase composites which accounts for inclusion distribution
    • Zheng Q.-S., and Du D.-X. An explicit and universally applicable estimate for the effective properties of multiphase composites which accounts for inclusion distribution. J Mech Phys Solids 49 (2001) 2765-2788
    • (2001) J Mech Phys Solids , vol.49 , pp. 2765-2788
    • Zheng, Q.-S.1    Du, D.-X.2
  • 32
    • 0000973012 scopus 로고
    • Elastic moduli for a class of porous materials
    • Zhao Y.H., Tandon G.P., and Weng G.J. Elastic moduli for a class of porous materials. Acta Mech 76 (1980) 105-130
    • (1980) Acta Mech , vol.76 , pp. 105-130
    • Zhao, Y.H.1    Tandon, G.P.2    Weng, G.J.3
  • 33
    • 0020833055 scopus 로고
    • The effect of aspect ratio of inclusions on the elastic properties of unidirectionally aligned composites
    • Tandon G.P., and Weng G.J. The effect of aspect ratio of inclusions on the elastic properties of unidirectionally aligned composites. Polym Composite 5 (1984) 327-333
    • (1984) Polym Composite , vol.5 , pp. 327-333
    • Tandon, G.P.1    Weng, G.J.2
  • 34
    • 0032057973 scopus 로고    scopus 로고
    • Simple formulae for the effective moduli of unidirectional aligned composites
    • Hui C.Y., and Shia D. Simple formulae for the effective moduli of unidirectional aligned composites. Polym Eng Sci 38 (1998) 774-782
    • (1998) Polym Eng Sci , vol.38 , pp. 774-782
    • Hui, C.Y.1    Shia, D.2
  • 35
    • 0033798413 scopus 로고    scopus 로고
    • Mineralized collagen fibrils: A mechanical model with a staggered arrangement of mineral particles
    • Jäger I., and Fratzl P. Mineralized collagen fibrils: A mechanical model with a staggered arrangement of mineral particles. Biophys J 79 (2000) 1737-1746
    • (2000) Biophys J , vol.79 , pp. 1737-1746
    • Jäger, I.1    Fratzl, P.2
  • 38
    • 0035254393 scopus 로고    scopus 로고
    • Biomorphous ceramics from lignocellulosics
    • Greil P. Biomorphous ceramics from lignocellulosics. J Euro Ceram Soc 21 (2001) 105-118
    • (2001) J Euro Ceram Soc , vol.21 , pp. 105-118
    • Greil, P.1
  • 39
    • 0033377495 scopus 로고    scopus 로고
    • The mechanical design of spider silks: from fibroin sequence to mechanical function
    • Gosline J.M., Guerette P.A., Ortlepp C.S., and Savage K.N. The mechanical design of spider silks: from fibroin sequence to mechanical function. J Exp Biol 202 (1999) 3295-3303
    • (1999) J Exp Biol , vol.202 , pp. 3295-3303
    • Gosline, J.M.1    Guerette, P.A.2    Ortlepp, C.S.3    Savage, K.N.4
  • 40
    • 0028765923 scopus 로고
    • Molecular modelling of spider silk elasticity
    • Temonia Y. Molecular modelling of spider silk elasticity. Macromolecules 27 (1994) 7378-7381
    • (1994) Macromolecules , vol.27 , pp. 7378-7381
    • Temonia, Y.1
  • 41
    • 0034246849 scopus 로고    scopus 로고
    • A shear-lag model to account for interaction effects between inclusions in composites reinforced with rectangular platelets
    • Kotha S.P., Kotha S., and Guzelsu N. A shear-lag model to account for interaction effects between inclusions in composites reinforced with rectangular platelets. Com Sci Tech 60 (2000) 2147-2158
    • (2000) Com Sci Tech , vol.60 , pp. 2147-2158
    • Kotha, S.P.1    Kotha, S.2    Guzelsu, N.3
  • 42
    • 5744250309 scopus 로고    scopus 로고
    • Flow stress of biomorphous metal matrix composite
    • Ji B., Gao H., and Wang T.C. Flow stress of biomorphous metal matrix composite. Mater Sci Eng A 386 (2004) 435-441
    • (2004) Mater Sci Eng A , vol.386 , pp. 435-441
    • Ji, B.1    Gao, H.2    Wang, T.C.3
  • 43
    • 0031620989 scopus 로고    scopus 로고
    • Microstructural factors controlling the stength and ductility of particlereinforced metal-matrix composites
    • Llorca J., and Gonzalez C. Microstructural factors controlling the stength and ductility of particlereinforced metal-matrix composites. J Mech Phys Solids 46 1 (1998) 1-28
    • (1998) J Mech Phys Solids , vol.46 , Issue.1 , pp. 1-28
    • Llorca, J.1    Gonzalez, C.2
  • 44
    • 0034308380 scopus 로고    scopus 로고
    • Critical evaluation of known bone material properties to realize anisotropic FE-simulation of the proximal femur
    • Wirtz D.C., Schiffers N., Pandorf T., Radermacher K., Weichert D., and Forst R. Critical evaluation of known bone material properties to realize anisotropic FE-simulation of the proximal femur. J. Biomech. 33 (2000) 1325-1330
    • (2000) J. Biomech. , vol.33 , pp. 1325-1330
    • Wirtz, D.C.1    Schiffers, N.2    Pandorf, T.3    Radermacher, K.4    Weichert, D.5    Forst, R.6
  • 45
    • 0036591422 scopus 로고    scopus 로고
    • Ultrasonic characterization of orthotropic elastic bovine bones
    • Lasaygues P., and Pithioux M. Ultrasonic characterization of orthotropic elastic bovine bones. Ultrasonics 39 (2002) 567-573
    • (2002) Ultrasonics , vol.39 , pp. 567-573
    • Lasaygues, P.1    Pithioux, M.2
  • 48
    • 37049182280 scopus 로고
    • Foam structures with a negative Poisson's ratio
    • Lakes R. Foam structures with a negative Poisson's ratio. Science 235 (1987) 1038-1040
    • (1987) Science , vol.235 , pp. 1038-1040
    • Lakes, R.1
  • 49
    • 33747891333 scopus 로고    scopus 로고
    • Liu B, Zhang L, Gao H. Poisson ratio can play a crucial role in mechanical properties of biocomposites, submitted for publication.


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