메뉴 건너뛰기




Volumn 17, Issue 1, 2014, Pages 48-63

Layered water in crystal interfaces as source for bone viscoelasticity: Arguments from a multiscale approach

Author keywords

bone; creep; gliding event; multiscale; relaxation; viscoelasticity

Indexed keywords

ELASTOPLASTIC MATERIALS; GLIDING EVENT; HYDROXYAPATITE CRYSTALS; MULTI-SCALE APPROACHES; MULTISCALE; RELAXATION; THREE-POINT BENDING TEST; TIME DEPENDENT PHENOMENA;

EID: 84890788716     PISSN: 10255842     EISSN: 14768259     Source Type: Journal    
DOI: 10.1080/10255842.2012.670227     Document Type: Article
Times cited : (51)

References (105)
  • 1
    • 2942738939 scopus 로고    scopus 로고
    • Multi-precision Laplace transform inversion
    • AbateJ, ValkóP. 2004. Multi-precision Laplace transform inversion. Int J Numer Methods Eng.60(5):979-993.
    • (2004) Int J Numer Methods Eng. , vol.60 , Issue.5 , pp. 979-993
    • Abate, J.1    Valkó, P.2
  • 3
    • 77950220020 scopus 로고    scopus 로고
    • Viscoelastic nature of calcium silicate hydrate
    • AlizadehR, BeaudoinJ, RakiL. 2010. Viscoelastic nature of calcium silicate hydrate. Cem Concr Compos.32:369-376.
    • (2010) Cem Concr Compos. , vol.32 , pp. 369-376
    • Alizadeh, R.1    Beaudoin, J.2    Raki, L.3
  • 4
    • 0030560725 scopus 로고    scopus 로고
    • On the mechanical characterization of compact bone structure using homogenization theory
    • AoubizaB, CroletJ, MeunierA. 1996. On the mechanical characterization of compact bone structure using homogenization theory. J Biomech.29(6):1539-1547.
    • (1996) J Biomech. , vol.29 , Issue.6 , pp. 1539-1547
    • Aoubiza, B.1    Crolet, J.2    Meunier, A.3
  • 5
    • 0025980851 scopus 로고
    • Vectorial sequence of mineralization in the turkey leg tendon determined by electron microscopic imaging
    • ArsenaultA, FranklandB, OttensmeyerF. 1991. Vectorial sequence of mineralization in the turkey leg tendon determined by electron microscopic imaging. Calcif Tissue Int.48(1):46-55.
    • (1991) Calcif Tissue Int. , vol.48 , Issue.1 , pp. 46-55
    • Arsenault, A.1    Frankland, B.2    Ottensmeyer, F.3
  • 6
    • 50449084932 scopus 로고    scopus 로고
    • First-principles study of hydroxyapatite surfaces and water adsorption
    • 075427
    • AstalaR, StottM. 2008. First-principles study of hydroxyapatite surfaces and water adsorption. Phys Rev B.78(7/075427):1-11.
    • (2008) Phys Rev B. , vol.78 , Issue.7 , pp. 1-11
    • Astala, R.1    Stott, M.2
  • 7
    • 0036132309 scopus 로고    scopus 로고
    • The ultrastructure of anorganic bovine bone and selected synthetic hydroxyapatites used as bone graft substitute materials
    • Benezra RosenV, HobbsL, SpectorM. 2002. The ultrastructure of anorganic bovine bone and selected synthetic hydroxyapatites used as bone graft substitute materials. Biomaterials. 23:921-928.
    • (2002) Biomaterials , vol.23 , pp. 921-928
    • Benezra Rosen, V.1    Hobbs, L.2    Spector, M.3
  • 8
    • 0023360657 scopus 로고
    • A new approach to the application of Mori-Tanakas theory in composite materials
    • BenvenisteY. 1987. A new approach to the application of Mori-Tanakas theory in composite materials. Mech Mater.6(2):147-157.
    • (1987) Mech Mater. , vol.6 , Issue.2 , pp. 147-157
    • Benveniste, Y.1
  • 9
    • 0033735967 scopus 로고    scopus 로고
    • Structural morphology and relaxation spectra of viscoelastic heterogeneous materials
    • BeurtheyS, ZaouiA. 2000. Structural morphology and relaxation spectra of viscoelastic heterogeneous materials. Eur J Mech A-Solids. 19(1):1-16.
    • (2000) Eur J Mech A-Solids , vol.19 , Issue.1 , pp. 1-16
    • Beurthey, S.1    Zaoui, A.2
  • 10
    • 34548413258 scopus 로고    scopus 로고
    • Mechanics of molecular collagen is influenced by hydroxyapatite in natural bone
    • BhowmikR, KattiK, KattiD. 2007. Mechanics of molecular collagen is influenced by hydroxyapatite in natural bone. J Mater Sci.42(21):8795-8803.
    • (2007) J Mater Sci. , vol.42 , Issue.21 , pp. 8795-8803
    • Bhowmik, R.1    Katti, K.2    Katti, D.3
  • 11
    • 65449167909 scopus 로고    scopus 로고
    • Mechanisms of load-deformation behavior of molecular collagen in hydroxyapatite-tropocollagen molecular system: steered molecular dynamics study
    • BhowmikR, KattiK, KattiD. 2009. Mechanisms of load-deformation behavior of molecular collagen in hydroxyapatite-tropocollagen molecular system: steered molecular dynamics study. J Eng Mech.135(5):413-421.
    • (2009) J Eng Mech. , vol.135 , Issue.5 , pp. 413-421
    • Bhowmik, R.1    Katti, K.2    Katti, D.3
  • 12
    • 0036594860 scopus 로고    scopus 로고
    • The degree of mineralization of bone tissue measured by computerized quantitative contact microradiography
    • BoivinG, MeunierP. 2002. The degree of mineralization of bone tissue measured by computerized quantitative contact microradiography. Calcif Tissue Int.70(6):503-511.
    • (2002) Calcif Tissue Int. , vol.70 , Issue.6 , pp. 503-511
    • Boivin, G.1    Meunier, P.2
  • 13
    • 0022429081 scopus 로고
    • Neutron diffraction studies of collagen in fully mineralized bone
    • BonarL, LeesS, MookH. 1985. Neutron diffraction studies of collagen in fully mineralized bone. J Mol Biol.181(2):265-270.
    • (1985) J Mol Biol. , vol.181 , Issue.2 , pp. 265-270
    • Bonar, L.1    Lees, S.2    Mook, H.3
  • 14
    • 84867956405 scopus 로고    scopus 로고
    • The osteocyte: the underestimated conductor of the bone orchestra
    • BonucciE. 2009. The osteocyte: the underestimated conductor of the bone orchestra. Rend Lincei: Sci Fis Nat.20(3):237-254.
    • (2009) Rend Lincei: Sci Fis Nat. , vol.20 , Issue.3 , pp. 237-254
    • Bonucci, E.1
  • 15
    • 16644388626 scopus 로고    scopus 로고
    • An in vitro study of the ultrasonic axial transmission technique at the radius: 1 MHz velocity measurements are sensitive to both mineralization and intracortical porosity
    • BossyE, TalmantM, PeyrinF, AkroutL, CloetensP, LaugierP. 2004. An in vitro study of the ultrasonic axial transmission technique at the radius: 1 MHz velocity measurements are sensitive to both mineralization and intracortical porosity. J Bone Miner Res.19(9):1548-1556.
    • (2004) J Bone Miner Res. , vol.19 , Issue.9 , pp. 1548-1556
    • Bossy, E.1    Talmant, M.2    Peyrin, F.3    Akrout, L.4    Cloetens, P.5    Laugier, P.6
  • 18
    • 78651457509 scopus 로고    scopus 로고
    • Experimental poromechanics of trabecular bone strength: role of Terzaghi's effective stress and of tissue level stress fluctuations
    • BrynkT, HellmichC, FritschA, ZyssetP, EberhardsteinerJ. 2011. Experimental poromechanics of trabecular bone strength: role of Terzaghi's effective stress and of tissue level stress fluctuations. J Biomech.44:501-508.
    • (2011) J Biomech. , vol.44 , pp. 501-508
    • Brynk, T.1    Hellmich, C.2    Fritsch, A.3    Zysset, P.4    Eberhardsteiner, J.5
  • 19
    • 0029144035 scopus 로고
    • Bone biology, part I: structure, blood supply, cells, matrix, and mineralization
    • BuckwalterJ, GlimcherM, CooperR, ReckerR. 1995a. Bone biology, part I: structure, blood supply, cells, matrix, and mineralization. J Bone Joint Surg.77-A(8):1256-1275.
    • (1995) J Bone Joint Surg. , vol.77 A , Issue.8 , pp. 1256-1275
    • Buckwalter, J.1    Glimcher, M.2    Cooper, R.3    Recker, R.4
  • 20
    • 0029095102 scopus 로고
    • Bone biology, part II: formation, form, modeling, remodeling, and regulation of cell functions
    • BuckwalterJ, GlimcherM, CooperR, ReckerR. 1995b. Bone biology, part II: formation, form, modeling, remodeling, and regulation of cell functions. J Bone Joint Surg.77-A(8):1276-1288.
    • (1995) J Bone Joint Surg. , vol.77 A , Issue.8 , pp. 1276-1288
    • Buckwalter, J.1    Glimcher, M.2    Cooper, R.3    Recker, R.4
  • 21
    • 63249126633 scopus 로고    scopus 로고
    • Water adsorption on the stoichiometric (001) and (010) surfaces of hydroxyapatite: a periodic B3LYP study
    • CornoM, BuscoC, BolisV, TosoniS, UgliengoP. 2009. Water adsorption on the stoichiometric (001) and (010) surfaces of hydroxyapatite: a periodic B3LYP study. Langmuir. 25:2188-2198.
    • (2009) Langmuir , vol.25 , pp. 2188-2198
    • Corno, M.1    Busco, C.2    Bolis, V.3    Tosoni, S.4    Ugliengo, P.5
  • 22
    • 0037274976 scopus 로고    scopus 로고
    • A recasting of anisotropic poroelasticity in matrices of tensor components
    • CowinS. 2003. A recasting of anisotropic poroelasticity in matrices of tensor components. Transp Porous Media. 50:35-56.
    • (2003) Transp Porous Media , vol.50 , pp. 35-56
    • Cowin, S.1
  • 23
    • 0027611188 scopus 로고
    • Compact bone: numerical simulation of mechanical characteristics
    • CroletJ, AoubizaB, MeunierA. 1993. Compact bone: numerical simulation of mechanical characteristics. J Biomech.26(6):677-687.
    • (1993) J Biomech. , vol.26 , Issue.6 , pp. 677-687
    • Crolet, J.1    Aoubiza, B.2    Meunier, A.3
  • 24
    • 5644224475 scopus 로고    scopus 로고
    • Incompatible mechanical properties in compact bone
    • CurreyJ. 2004. Incompatible mechanical properties in compact bone. J Theor Biol.231:569-580.
    • (2004) J Theor Biol. , vol.231 , pp. 569-580
    • Currey, J.1
  • 25
    • 0018566616 scopus 로고
    • Determination of the elastic constants of collagen by Brillouin light scattering
    • CusackS, MillerA. 1979. Determination of the elastic constants of collagen by Brillouin light scattering. J Mol Biol.135:39-51.
    • (1979) J Mol Biol. , vol.135 , pp. 39-51
    • Cusack, S.1    Miller, A.2
  • 27
    • 0037092904 scopus 로고    scopus 로고
    • Analytical and numerical inversion of the Laplace-Carson transform by a differential method
    • DonolatoC. 2002. Analytical and numerical inversion of the Laplace-Carson transform by a differential method. Comput Phys Commun.145:298-309.
    • (2002) Comput Phys Commun. , vol.145 , pp. 298-309
    • Donolato, C.1
  • 28
    • 0035216739 scopus 로고    scopus 로고
    • Shape and size of isolated bone mineralites measured using atomic force microscopy
    • EppellS, TongW, KatzJ, KuhnL, GlimcherM. 2001. Shape and size of isolated bone mineralites measured using atomic force microscopy. J Orthop Res. 19:1027-1034.
    • (2001) J Orthop Res , vol.19 , pp. 1027-1034
    • Eppell, S.1    Tong, W.2    Katz, J.3    Kuhn, L.4    Glimcher, M.5
  • 29
    • 0028836022 scopus 로고
    • Toward a molecular understanding of skeletal development
    • ErlebacherA, FilvaroffE, GitelmanS, DerynckR. 1995. Toward a molecular understanding of skeletal development. Cell. 80:371-378.
    • (1995) Cell , vol.80 , pp. 371-378
    • Erlebacher, A.1    Filvaroff, E.2    Gitelman, S.3    Derynck, R.4
  • 30
    • 0000929676 scopus 로고
    • The determination of the elastic field of an ellipsoidal inclusion, and related problems
    • EshelbyJ. 1957. The determination of the elastic field of an ellipsoidal inclusion, and related problems. Proc R Soc London, Ser A.241:376-396.
    • (1957) Proc R Soc London, Ser A. , vol.241 , pp. 376-396
    • Eshelby, J.1
  • 31
    • 0032563896 scopus 로고    scopus 로고
    • Bone remodelling: a signalling system for osteoclast regulation
    • FilvaroffE, DerynckR. 1998. Bone remodelling: a signalling system for osteoclast regulation. Curr Biol. 8:R679-R682.
    • (1998) Curr Biol , vol.8
    • Filvaroff, E.1    Derynck, R.2
  • 32
    • 33846458993 scopus 로고    scopus 로고
    • Universal' microstructural patterns in cortical and trabecular, extracellular and extravacular bone materials: micromechanics-based prediction of anisotropic elasticity
    • FritschA, HellmichC. 2007. 'Universal' microstructural patterns in cortical and trabecular, extracellular and extravacular bone materials: micromechanics-based prediction of anisotropic elasticity. J Theor Biol.244:597-620.
    • (2007) J Theor Biol. , vol.244 , pp. 597-620
    • Fritsch, A.1    Hellmich, C.2
  • 33
    • 33645218778 scopus 로고    scopus 로고
    • Porous polycrystals built up by uniformly and axisymmetrically oriented needles: homogenization of elastic properties
    • FritschA, DormieuxL, HellmichC. 2006. Porous polycrystals built up by uniformly and axisymmetrically oriented needles: homogenization of elastic properties. C.R. Méc.334:151-157.
    • (2006) C.R. Méc. , vol.334 , pp. 151-157
    • Fritsch, A.1    Dormieux, L.2    Hellmich, C.3
  • 34
    • 34548422835 scopus 로고    scopus 로고
    • Micromechanics of crystal interfaces in polycrystalline solid phases of porous media: fundamentals and application to strength of hydroxyapatite biomaterials
    • FritschA, DormieuxL, HellmichC, SanahujaJ. 2007. Micromechanics of crystal interfaces in polycrystalline solid phases of porous media: fundamentals and application to strength of hydroxyapatite biomaterials. J Mater Sci.42:8824-8837.
    • (2007) J Mater Sci. , vol.42 , pp. 8824-8837
    • Fritsch, A.1    Dormieux, L.2    Hellmich, C.3    Sanahuja, J.4
  • 35
    • 68949191021 scopus 로고    scopus 로고
    • Ductile sliding between mineral crystals followed by rupture of collagen crosslinks: experimentally supported micromechanical explanation of bone strength
    • FritschA, HellmichC, DormieuxL. 2009. Ductile sliding between mineral crystals followed by rupture of collagen crosslinks: experimentally supported micromechanical explanation of bone strength. J Theor Biol.260(2):230-252.
    • (2009) J Theor Biol. , vol.260 , Issue.2 , pp. 230-252
    • Fritsch, A.1    Hellmich, C.2    Dormieux, L.3
  • 36
    • 77951872777 scopus 로고    scopus 로고
    • The role of disc-type crystal shape for micromechanical predictions of elasticity and strength of hydroxyapatite biomaterials
    • FritschA, HellmichC, DormieuxL. 2010. The role of disc-type crystal shape for micromechanical predictions of elasticity and strength of hydroxyapatite biomaterials. Philos Trans R Soc A: Math, Phys Eng Sci.368:1913-1935.
    • (2010) Philos Trans R Soc A: Math, Phys Eng Sci. , vol.368 , pp. 1913-1935
    • Fritsch, A.1    Hellmich, C.2    Dormieux, L.3
  • 37
    • 77954959951 scopus 로고    scopus 로고
    • Multiscale modeling of elastic properties of cortical bone
    • HamedE, LeeY, JasiukI. 2010. Multiscale modeling of elastic properties of cortical bone. Acta Mech. 213:131-154.
    • (2010) Acta Mech , vol.213 , pp. 131-154
    • Hamed, E.1    Lee, Y.2    Jasiuk, I.3
  • 38
    • 80052800184 scopus 로고    scopus 로고
    • Direct quantification of the mechanical anisotropy and fracture of an individual exoskeleton layer via uniaxial compression of micropillars
    • HanL, WangL, SongJ, BoyceM, OrtizC. 2011. Direct quantification of the mechanical anisotropy and fracture of an individual exoskeleton layer via uniaxial compression of micropillars. Nano Lett.11:3868-3874.
    • (2011) Nano Lett. , vol.11 , pp. 3868-3874
    • Han, L.1    Wang, L.2    Song, J.3    Boyce, M.4    Ortiz, C.5
  • 40
    • 28544448373 scopus 로고    scopus 로고
    • Atomic force microscopy on human trabecular bone from an old woman with osteoporotic fractures
    • HassenkamT, JorgenenH, PedersenM, KourakisA, SimonsenL, LauritzenJ. 2005. Atomic force microscopy on human trabecular bone from an old woman with osteoporotic fractures. Micron. 36:681-687.
    • (2005) Micron , vol.36 , pp. 681-687
    • Hassenkam, T.1    Jorgenen, H.2    Pedersen, M.3    Kourakis, A.4    Simonsen, L.5    Lauritzen, J.6
  • 42
    • 0036675953 scopus 로고    scopus 로고
    • A micromechanical model for the ultrastructural stiffness of mineralized tissue
    • HellmichC, UlmFJ. 2002. A micromechanical model for the ultrastructural stiffness of mineralized tissue. J Eng Mech (ASCE). 128(8):898-908.
    • (2002) J Eng Mech (ASCE) , vol.128 , Issue.8 , pp. 898-908
    • Hellmich, C.1    Ulm, F.J.2
  • 43
    • 0036342909 scopus 로고    scopus 로고
    • Are mineralized tissues open crystal foams reinforced by crosslinked collagen?-some energy arguments
    • HellmichC, UlmFJ. 2002a. Are mineralized tissues open crystal foams reinforced by crosslinked collagen?-some energy arguments. J Biomech.35:1199-1212.
    • (2002) J Biomech. , vol.35 , pp. 1199-1212
    • Hellmich, C.1    Ulm, F.J.2
  • 44
    • 0036675953 scopus 로고    scopus 로고
    • A micromechanical model for the ultrastructural stiffness of mineralized tissues
    • HellmichC, UlmFJ. 2002b. A micromechanical model for the ultrastructural stiffness of mineralized tissues. J Eng Mech. (ASCE). 128(8):898-908.
    • (2002) J Eng Mech. (ASCE) , vol.128 , Issue.8 , pp. 898-908
    • Hellmich, C.1    Ulm, F.J.2
  • 45
    • 12344310240 scopus 로고    scopus 로고
    • Average hydroxyapatite concentration is uniform in extracollageneous ultrastructure of mineralized tissue
    • HellmichC, UlmFJ. 2003. Average hydroxyapatite concentration is uniform in extracollageneous ultrastructure of mineralized tissue. Biomech Model Mechanobiol.2:21-36.
    • (2003) Biomech Model Mechanobiol. , vol.2 , pp. 21-36
    • Hellmich, C.1    Ulm, F.J.2
  • 46
    • 14544279338 scopus 로고    scopus 로고
    • Drained and undrained poroelastic properties of healthy and pathological bone: a poro-micromechanical investigation
    • HellmichC, UlmFJ. 2005a. Drained and undrained poroelastic properties of healthy and pathological bone: a poro-micromechanical investigation. Transp Porous Media. 58:243-268.
    • (2005) Transp Porous Media , vol.58 , pp. 243-268
    • Hellmich, C.1    Ulm, F.J.2
  • 47
    • 24944493730 scopus 로고    scopus 로고
    • Micro-porodynamics of bones: prediction of the 'Frenkel-Biot' slow compressional wave
    • HellmichC, UlmFJ. 2005b. Micro-porodynamics of bones: prediction of the 'Frenkel-Biot' slow compressional wave. J Eng Mech (ASCE). 131(9):918-927.
    • (2005) J Eng Mech (ASCE) , vol.131 , Issue.9 , pp. 918-927
    • Hellmich, C.1    Ulm, F.J.2
  • 48
    • 12344259692 scopus 로고    scopus 로고
    • Can the diverse elastic properties of trabecular and cortical bone be attributed to only a few tissue-independent phase properties and their interactions?-arguments from a multiscale approach
    • HellmichC, UlmFJ, DormieuxL. 2004a. Can the diverse elastic properties of trabecular and cortical bone be attributed to only a few tissue-independent phase properties and their interactions?-arguments from a multiscale approach. Biomech Model Mechanobiol.2:219-238.
    • (2004) Biomech Model Mechanobiol. , vol.2 , pp. 219-238
    • Hellmich, C.1    Ulm, F.J.2    Dormieux, L.3
  • 49
    • 12344260817 scopus 로고    scopus 로고
    • Mineral-collagen interactions in elasticity of bone ultrastructure-a continuum micromechanics approach
    • HellmichC, BarthélémyJF, DormieuxL. 2004b. Mineral-collagen interactions in elasticity of bone ultrastructure-a continuum micromechanics approach. Eur J Mech A-Solids. 23:783-810.
    • (2004) Eur J Mech A-Solids , vol.23 , pp. 783-810
    • Hellmich, C.1    Barthélémy, J.F.2    Dormieux, L.3
  • 50
    • 37449014031 scopus 로고    scopus 로고
    • Micromechanics-based conversion of CT-data into anisotropic elasticity tensors, applied to FE simulations of a mandible
    • HellmichC, KoberC, ErdmannB. 2008. Micromechanics-based conversion of CT-data into anisotropic elasticity tensors, applied to FE simulations of a mandible. Ann Biomed Eng.36:108-122.
    • (2008) Ann Biomed Eng. , vol.36 , pp. 108-122
    • Hellmich, C.1    Kober, C.2    Erdmann, B.3
  • 51
    • 0035895485 scopus 로고    scopus 로고
    • Some remarks on the compressed matrix representation of symmetric second-order and fourth-order tensors
    • HelnweinP. 2001. Some remarks on the compressed matrix representation of symmetric second-order and fourth-order tensors. Comput Methods Appl Mech Eng.190(22-23):2753-2770.
    • (2001) Comput Methods Appl Mech Eng. , vol.190 , Issue.22-23 , pp. 2753-2770
    • Helnwein, P.1
  • 52
    • 85143526052 scopus 로고
    • The elasticity of an isotropic aggregate of anisotropic cubic crystals
    • HersheyA. 1954. The elasticity of an isotropic aggregate of anisotropic cubic crystals. J Appl Mech (ASME). 21:236-240.
    • (1954) J Appl Mech (ASME) , vol.21 , pp. 236-240
    • Hershey, A.1
  • 53
    • 6544226089 scopus 로고
    • Elastic properties of reinforced solids: some theoretical principles
    • HillR. 1963. Elastic properties of reinforced solids: some theoretical principles. J Mech Phys Solids. 11:357-362.
    • (1963) J Mech Phys Solids , vol.11 , pp. 357-362
    • Hill, R.1
  • 54
    • 49749215641 scopus 로고
    • Continuum micro-mechanics of elastoplastic polycrystals
    • HillR. 1965. Continuum micro-mechanics of elastoplastic polycrystals. J Mech Phys Solids. 13(2):89-101.
    • (1965) J Mech Phys Solids , vol.13 , Issue.2 , pp. 89-101
    • Hill, R.1
  • 55
    • 0014564419 scopus 로고
    • Collagen mineralization in bone, dentine, cementum and cartilage
    • HöhlingH. 1967. Collagen mineralization in bone, dentine, cementum and cartilage. Die Naturwissenschaften56(9): 466.
    • (1967) Die Naturwissenschaften , vol.56 , Issue.9 , pp. 466
    • Höhling, H.1
  • 56
    • 67649108915 scopus 로고    scopus 로고
    • Nanostructural analysis of trabecular bone
    • HongS, HongS, KohnD. 2009. Nanostructural analysis of trabecular bone. J Mater Sci Mater Med.20:1419-1426.
    • (2009) J Mater Sci Mater Med. , vol.20 , pp. 1419-1426
    • Hong, S.1    Hong, S.2    Kohn, D.3
  • 57
    • 3242741106 scopus 로고    scopus 로고
    • Anisotropic viscoelastic properties of cortical bone
    • IyoT, MakiY, SasakiN, NakataM. 2004. Anisotropic viscoelastic properties of cortical bone. J Biomech.37:1433-1437.
    • (2004) J Biomech. , vol.37 , pp. 1433-1437
    • Iyo, T.1    Maki, Y.2    Sasaki, N.3    Nakata, M.4
  • 58
    • 33847056688 scopus 로고    scopus 로고
    • Molecular dynamics modeling of the structure, dynamics and energetics of mineral-water interfaces: application to cement materials
    • KalinichevA, WangJ, KirkpatrickR. 2007. Molecular dynamics modeling of the structure, dynamics and energetics of mineral-water interfaces: application to cement materials. Cem Concr Res.37:337-347.
    • (2007) Cem Concr Res. , vol.37 , pp. 337-347
    • Kalinichev, A.1    Wang, J.2    Kirkpatrick, R.3
  • 59
    • 0015052517 scopus 로고
    • On the anisotropic elastic properties of hydroxyapatite
    • KatzJ, UkraincikK. 1971. On the anisotropic elastic properties of hydroxyapatite. J Biomech.4:221-227.
    • (1971) J Biomech. , vol.4 , pp. 221-227
    • Katz, J.1    Ukraincik, K.2
  • 60
    • 0025996321 scopus 로고
    • Topographic imaging of mineral and collagen in the calcifying turkey tendon
    • LandisW, Moradian-OldakJ, WeinerS. 1991. Topographic imaging of mineral and collagen in the calcifying turkey tendon. Connect Tissue Res.25:181-196.
    • (1991) Connect Tissue Res. , vol.25 , pp. 181-196
    • Landis, W.1    Moradian-Oldak, J.2    Weiner, S.3
  • 61
    • 0030199347 scopus 로고    scopus 로고
    • Mineralization of collagen may occur on fibril surfaces: evidence from conventional and high-voltage electron microscopy and three-dimensional imaging
    • LandisW, HodgensK, SongM, ArenaJ, KiyonagaS, MarkoM, OwenC, McEwenB. 1996. Mineralization of collagen may occur on fibril surfaces: evidence from conventional and high-voltage electron microscopy and three-dimensional imaging. J Struct Biol.117:24-35.
    • (1996) J Struct Biol. , vol.117 , pp. 24-35
    • Landis, W.1    Hodgens, K.2    Song, M.3    Arena, J.4    Kiyonaga, S.5    Marko, M.6    Owen, C.7    McEwen, B.8
  • 62
    • 0017417090 scopus 로고
    • The determination of stress and strain concentrations at an ellipsoidal inclusion in an anisotropic material
    • LawsN. 1977. The determination of stress and strain concentrations at an ellipsoidal inclusion in an anisotropic material. J Elast.7(1):91-97.
    • (1977) J Elast. , vol.7 , Issue.1 , pp. 91-97
    • Laws, N.1
  • 63
    • 0017934993 scopus 로고
    • Self-consistent estimates for the viscoelastic creep compliances of composite materials
    • LawsN, McLaughlinR. 1978. Self-consistent estimates for the viscoelastic creep compliances of composite materials. Proc R Soc, London, Ser A.359:251-273.
    • (1978) Proc R Soc, London, Ser A. , vol.359 , pp. 251-273
    • Laws, N.1    McLaughlin, R.2
  • 64
    • 0023495508 scopus 로고
    • Considerations regarding the structure of the mammalian mineralized osteoid from viewpoint of the generalized packing model
    • LeesS. 1987. Considerations regarding the structure of the mammalian mineralized osteoid from viewpoint of the generalized packing model. Connect Tissue Res.16:281-303.
    • (1987) Connect Tissue Res. , vol.16 , pp. 281-303
    • Lees, S.1
  • 65
    • 0023779185 scopus 로고
    • The locus of mineral crystallites in bone
    • LeesS, ProstakK. 1988. The locus of mineral crystallites in bone. Connect Tissue Res.18:41-54.
    • (1988) Connect Tissue Res. , vol.18 , pp. 41-54
    • Lees, S.1    Prostak, K.2
  • 66
    • 0018644186 scopus 로고
    • A study of some properties of a sample of bovine cortical bone using ultrasound
    • LeesS, HeeleyJ, ClearyP. 1979. A study of some properties of a sample of bovine cortical bone using ultrasound. Calcif Tissue Int.29:107-117.
    • (1979) Calcif Tissue Int. , vol.29 , pp. 107-117
    • Lees, S.1    Heeley, J.2    Cleary, P.3
  • 67
    • 0021743776 scopus 로고
    • A study of dense mineralized tissue by neutron diffraction
    • LeesS, BonarL, MookH. 1984. A study of dense mineralized tissue by neutron diffraction. Int J Biol Macromol.6:321-326.
    • (1984) Int J Biol Macromol. , vol.6 , pp. 321-326
    • Lees, S.1    Bonar, L.2    Mook, H.3
  • 68
    • 0027992542 scopus 로고
    • The loci of mineral in turkey leg tendon as seen by atomic force microscope and electron microscopy
    • LeesS, ProstakK, IngleV, KjollerK. 1994. The loci of mineral in turkey leg tendon as seen by atomic force microscope and electron microscopy. Calcif Tissue Int.55:180-189.
    • (1994) Calcif Tissue Int. , vol.55 , pp. 180-189
    • Lees, S.1    Prostak, K.2    Ingle, V.3    Kjoller, K.4
  • 69
    • 3042548087 scopus 로고    scopus 로고
    • Modeling of the interactions between osteoblast and osteoclast activities in bone remodeling
    • LemaireV, TobinF, GrellerL, ChoC, SuvaL. 2004. Modeling of the interactions between osteoblast and osteoclast activities in bone remodeling. J Theor Biol.229(3):293-309.
    • (2004) J Theor Biol. , vol.229 , Issue.3 , pp. 293-309
    • Lemaire, V.1    Tobin, F.2    Greller, L.3    Cho, C.4    Suva, L.5
  • 70
    • 79957912197 scopus 로고    scopus 로고
    • Effect of porosity and mineral content on the elastic constants of cortical bone: a multiscale approach
    • Martinez-ReinaJ, DominguezJ, Garcia-AznarJ. 2010. Effect of porosity and mineral content on the elastic constants of cortical bone: a multiscale approach. Biomech Model Mechanobiol. 10(3):309-322.
    • (2010) Biomech Model Mechanobiol , vol.10 , Issue.3 , pp. 309-322
    • Martinez-Reina, J.1    Dominguez, J.2    Garcia-Aznar, J.3
  • 71
    • 67650414605 scopus 로고    scopus 로고
    • Geometry and nanolength scales versus interface interactions: water dynamics in AOT lamellar structures and reverse micelles
    • MoilanenD, FennE, WongD, FayerM. 2009. Geometry and nanolength scales versus interface interactions: water dynamics in AOT lamellar structures and reverse micelles. J Am Chem Soc.131:8318-8328.
    • (2009) J Am Chem Soc. , vol.131 , pp. 8318-8328
    • Moilanen, D.1    Fenn, E.2    Wong, D.3    Fayer, M.4
  • 72
    • 0026041101 scopus 로고
    • Electron imaging and diffraction study of individual crystals of bone, mineralized tendon and synthetic carbonate apatite
    • Moradian-OldakJ, WeinerS, AddadiL, LandisW, TraubW. 1991. Electron imaging and diffraction study of individual crystals of bone, mineralized tendon and synthetic carbonate apatite. Connect Tissue Res.25:219-228.
    • (1991) Connect Tissue Res. , vol.25 , pp. 219-228
    • Moradian-Oldak, J.1    Weiner, S.2    Addadi, L.3    Landis, W.4    Traub, W.5
  • 73
    • 0015625688 scopus 로고
    • Average stress in matrix and average elastic energy of materials with misfitting inclusions
    • MoriT, TanakaK. 1973. Average stress in matrix and average elastic energy of materials with misfitting inclusions. Acta Metall.21(5):571-574.
    • (1973) Acta Metall. , vol.21 , Issue.5 , pp. 571-574
    • Mori, T.1    Tanaka, K.2
  • 74
    • 0034353332 scopus 로고    scopus 로고
    • The effect of mineral bond strength and absorbed water on fault gouge frictional strength
    • MorrowC, MooreD, LocknerD. 2000. The effect of mineral bond strength and absorbed water on fault gouge frictional strength. Geophys Res Lett.27:815-818.
    • (2000) Geophys Res Lett. , vol.27 , pp. 815-818
    • Morrow, C.1    Moore, D.2    Lockner, D.3
  • 75
    • 0032277459 scopus 로고    scopus 로고
    • Invariant tensor-to-matrix mappings for evaluation of tensorial expressions
    • NadeauJ, FerrariM. 1998. Invariant tensor-to-matrix mappings for evaluation of tensorial expressions. J Elast.52:43-61.
    • (1998) J Elast. , vol.52 , pp. 43-61
    • Nadeau, J.1    Ferrari, M.2
  • 76
    • 44849089062 scopus 로고    scopus 로고
    • Hierarchical modeling of the elastic properties of bone at submicron scales: the role of extrafibrillar mineralization
    • NikolovS, RaabeD. 2008. Hierarchical modeling of the elastic properties of bone at submicron scales: the role of extrafibrillar mineralization. Biophys J.94:4220-4232.
    • (2008) Biophys J. , vol.94 , pp. 4220-4232
    • Nikolov, S.1    Raabe, D.2
  • 77
    • 34247603569 scopus 로고    scopus 로고
    • Molecular simulation of water behaviors on crystal faces of hydroxyapatite
    • PanH, TaoJ, WuT, TangR. 2007. Molecular simulation of water behaviors on crystal faces of hydroxyapatite. Front Chem Chin.2(2):156-163.
    • (2007) Front Chem Chin. , vol.2 , Issue.2 , pp. 156-163
    • Pan, H.1    Tao, J.2    Wu, T.3    Tang, R.4
  • 78
    • 60449117558 scopus 로고    scopus 로고
    • Spherical and acicular representation of hydrates in a micromechanical model for cement paste: prediction of early-age elasticity and strength
    • PichlerB, HellmichC, EberhardsteinerJ. 2009. Spherical and acicular representation of hydrates in a micromechanical model for cement paste: prediction of early-age elasticity and strength. Acta Mech.203:137-162.
    • (2009) Acta Mech. , vol.203 , pp. 137-162
    • Pichler, B.1    Hellmich, C.2    Eberhardsteiner, J.3
  • 79
    • 0030199878 scopus 로고    scopus 로고
    • Bone mineral lies mainly outside the collagen fibrils: predictions of a composite model for osteonal bone
    • PidapartiR, ChandranA, TakanoY, TurnerC. 1996. Bone mineral lies mainly outside the collagen fibrils: predictions of a composite model for osteonal bone. J Biomech.29(7):909-916.
    • (1996) J Biomech. , vol.29 , Issue.7 , pp. 909-916
    • Pidaparti, R.1    Chandran, A.2    Takano, Y.3    Turner, C.4
  • 80
    • 0029857824 scopus 로고    scopus 로고
    • Visualization of crystal-matrix structure. In situ demineralization of mineralized turkey leg tendon and bone
    • ProstakK, LeesS. 1996. Visualization of crystal-matrix structure. In situ demineralization of mineralized turkey leg tendon and bone. Calcif Tissue Int.59:474-479.
    • (1996) Calcif Tissue Int. , vol.59 , pp. 474-479
    • Prostak, K.1    Lees, S.2
  • 81
    • 0001438555 scopus 로고
    • Stress analysis for compressible viscoelastic media
    • ReadW. 1950. Stress analysis for compressible viscoelastic media. J Appl Phys.21(7):671-674.
    • (1950) J Appl Phys. , vol.21 , Issue.7 , pp. 671-674
    • Read, W.1
  • 82
    • 77958101171 scopus 로고    scopus 로고
    • Sensitivity analysis and parametric study of elastic properties of an unidirectional mineralized bone fibril-array using mean field methods
    • ReisingerA, PahrD, ZyssetP. 2010. Sensitivity analysis and parametric study of elastic properties of an unidirectional mineralized bone fibril-array using mean field methods. Biomech Model Mechanobiol. 9(5):499-510.
    • (2010) Biomech Model Mechanobiol , vol.9 , Issue.5 , pp. 499-510
    • Reisinger, A.1    Pahr, D.2    Zysset, P.3
  • 84
    • 0042333468 scopus 로고    scopus 로고
    • TEM analysis of the nanostructure of normal and osteoporotic human trabecular bone
    • RubinM, JasiukI, TaylorJ, RubinJ, GaneyT, ApkarianR. 2003. TEM analysis of the nanostructure of normal and osteoporotic human trabecular bone. Bone. 33:270-283.
    • (2003) Bone , vol.33 , pp. 270-283
    • Rubin, M.1    Jasiuk, I.2    Taylor, J.3    Rubin, J.4    Ganey, T.5    Apkarian, R.6
  • 86
    • 77954141832 scopus 로고    scopus 로고
    • Determination of the heterogeneous anisotropic elastic properties of human femoral bone: from nanoscopic to organ scale
    • SansaloneV, NailiS, BoussonV, BergotC, PeyrinF, ZarkaJ, LaredoJ, HaiarG. 2010. Determination of the heterogeneous anisotropic elastic properties of human femoral bone: from nanoscopic to organ scale. J Biomech. 43:1857-1863.
    • (2010) J Biomech , vol.43 , pp. 1857-1863
    • Sansalone, V.1    Naili, S.2    Bousson, V.3    Bergot, C.4    Peyrin, F.5    Zarka, J.6    Laredo, J.7    Haiar, G.8
  • 87
    • 0027897655 scopus 로고
    • Stress relaxation function of bone and bone collagen
    • SasakiN, NakayamaY, YoshikawaM, EnyoA. 1993. Stress relaxation function of bone and bone collagen. J Biomech.26(12):1369-1376.
    • (1993) J Biomech. , vol.26 , Issue.12 , pp. 1369-1376
    • Sasaki, N.1    Nakayama, Y.2    Yoshikawa, M.3    Enyo, A.4
  • 88
    • 0036126576 scopus 로고    scopus 로고
    • Atomic force microscopic studies on the structure of bovine femoral cortical bone at the collagen fibril-mineral level
    • SasakiN, TagamiA, GotoT, TaniguchiM, NakataM, HikichiK. 2002. Atomic force microscopic studies on the structure of bovine femoral cortical bone at the collagen fibril-mineral level. J Mater Sci: Mater Med.13:333-337.
    • (2002) J Mater Sci: Mater Med. , vol.13 , pp. 333-337
    • Sasaki, N.1    Tagami, A.2    Goto, T.3    Taniguchi, M.4    Nakata, M.5    Hikichi, K.6
  • 89
    • 63049104563 scopus 로고    scopus 로고
    • Continuum microviscoelasticity model for aging basic creep of early-age concrete
    • ScheinerS, HellmichC. 2009. Continuum microviscoelasticity model for aging basic creep of early-age concrete. J Eng Mech.135(4):307-323.
    • (2009) J Eng Mech. , vol.135 , Issue.4 , pp. 307-323
    • Scheiner, S.1    Hellmich, C.2
  • 91
    • 0001187566 scopus 로고
    • General theory of deformation of viscoelastic substances
    • SipsR. 1951. General theory of deformation of viscoelastic substances. J Polym Sci.7(2-3):191-205.
    • (1951) J Polym Sci. , vol.7 , Issue.2-3 , pp. 191-205
    • Sips, R.1
  • 92
    • 33744925176 scopus 로고    scopus 로고
    • Effect of water on the dislocation creep microstructure and flow stress of quartz and implications for the recrystallized grain size piezometer
    • StippM, TullisJ, BehrensH. 2006. Effect of water on the dislocation creep microstructure and flow stress of quartz and implications for the recrystallized grain size piezometer. J Geophys Res.111:B04201.
    • (2006) J Geophys Res. , vol.111
    • Stipp, M.1    Tullis, J.2    Behrens, H.3
  • 95
    • 0037291301 scopus 로고    scopus 로고
    • Organization of apatite crystals in human woven bone
    • SuX, SunK, CuiF, LandisW. 2003. Organization of apatite crystals in human woven bone. Bone. 32:150-162.
    • (2003) Bone , vol.32 , pp. 150-162
    • Su, X.1    Sun, K.2    Cui, F.3    Landis, W.4
  • 96
    • 50349128353 scopus 로고
    • A phenomenological theory of visco-elastic behaviour
    • TerHaarD. 1950. A phenomenological theory of visco-elastic behaviour. Physica (Amsterdam). 16(9):719-737.
    • (1950) Physica (Amsterdam) , vol.16 , Issue.9 , pp. 719-737
    • TerHaar, D.1
  • 97
    • 0042659484 scopus 로고    scopus 로고
    • Size and shape of mineralities in young bovine bone measured by atomic force microscopy
    • TongW, GlimcherM, KatzJ, KuhnL, EppellS. 2003. Size and shape of mineralities in young bovine bone measured by atomic force microscopy. Calcif Tissue Int.72:592-598.
    • (2003) Calcif Tissue Int. , vol.72 , pp. 592-598
    • Tong, W.1    Glimcher, M.2    Katz, J.3    Kuhn, L.4    Eppell, S.5
  • 98
    • 0026358788 scopus 로고
    • Diffusion creep in feldspar aggregates: experimental evidence
    • TullisJ, YundR. 1991. Diffusion creep in feldspar aggregates: experimental evidence. J Struct Geol.13:987-1000.
    • (1991) J Struct Geol. , vol.13 , pp. 987-1000
    • Tullis, J.1    Yund, R.2
  • 99
    • 2942719553 scopus 로고    scopus 로고
    • Comparison of sequence accelerators for the Gaver method of numerical Laplace transform inversion
    • ValkóP, AbateJ. 2004. Comparison of sequence accelerators for the Gaver method of numerical Laplace transform inversion. Comput Math App.48(3-4):629-636.
    • (2004) Comput Math App. , vol.48 , Issue.3-4 , pp. 629-636
    • Valkó, P.1    Abate, J.2
  • 100
    • 33645150455 scopus 로고    scopus 로고
    • Viscoelastic solutions for conical indentations
    • VandammeM, UlmFJ. 2006. Viscoelastic solutions for conical indentations. Int J Solids Struct.43(10):3142-3165.
    • (2006) Int J Solids Struct. , vol.43 , Issue.10 , pp. 3142-3165
    • Vandamme, M.1    Ulm, F.J.2
  • 101
    • 80052575828 scopus 로고    scopus 로고
    • Bone fibrillogenesis and mineralization: quantitative analysis and implications for tissue elasticity
    • VuongJ, HellmichC. 2011. Bone fibrillogenesis and mineralization: quantitative analysis and implications for tissue elasticity. J Theor Biol.287:115-130.
    • (2011) J Theor Biol. , vol.287 , pp. 115-130
    • Vuong, J.1    Hellmich, C.2
  • 102
    • 10444269418 scopus 로고    scopus 로고
    • Aspects of collagen mineralization in hard tissue formation
    • WiesmannH, MeyerU, PlateU, HöhlingH. 2005. Aspects of collagen mineralization in hard tissue formation. Int Rev Cytol.242:121-156.
    • (2005) Int Rev Cytol. , vol.242 , pp. 121-156
    • Wiesmann, H.1    Meyer, U.2    Plate, U.3    Höhling, H.4
  • 103
    • 0141680291 scopus 로고    scopus 로고
    • Computational study of interfaces between hydroxyapatite and water
    • ZahnD, HochreinO. 2003. Computational study of interfaces between hydroxyapatite and water. Phys Chem Chem Phys. 5:4004-4007.
    • (2003) Phys Chem Chem Phys , vol.5 , pp. 4004-4007
    • Zahn, D.1    Hochrein, O.2
  • 105
    • 0036676697 scopus 로고    scopus 로고
    • Continuum micromechanics: survey
    • ZaouiA. 2002. Continuum micromechanics: survey. J Eng Mech (ASCE). 128(8):808-816.
    • (2002) J Eng Mech (ASCE) , vol.128 , Issue.8 , pp. 808-816
    • Zaoui, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.