메뉴 건너뛰기




Volumn 12, Issue , 2012, Pages 50-62

A three-scale finite element investigation into the effects of tissue mineralisation and lamellar organisation in human cortical and trabecular bone

Author keywords

Bone; Composite materials; Composition; Finite element homogenisation; Tissue structure

Indexed keywords

BONE FRACTURE; BONE MECHANICS; BONE TISSUE; COMPUTATIONAL STUDIES; CONSTITUENT MATERIALS; CORTICAL TISSUES; EFFECTIVE PROPERTY; EXPERIMENTAL STUDIES; EXPERIMENTAL VALUES; FINITE ELEMENT; FINITE ELEMENT INVESTIGATION; FINITE ELEMENT MODELS; FINITE-ELEMENT STUDY; HOMOGENISATION; LAMELLAR LEVEL; LAMELLAR ORIENTATIONS; MATERIAL BEHAVIOUR; MICRO CT; MICRO-SCALES; MICROSTRUCTURAL LEVELS; MINERAL CRYSTALS; MINERALISATION; MULTISCALE FINITE ELEMENT; MULTISCALE MODELLING APPROACH; NANO SCALE; NANOSTRUCTURAL; NORMAL TISSUE; ORGANIC COLLAGEN; PROSTHETIC IMPLANTATION; REPRESENTATIVE VOLUME ELEMENT (RVE); SIMPLIFYING ASSUMPTIONS; STIFFNESS PROPERTIES; TISSUE LEVELS; TISSUE MODULUS; TISSUE STRUCTURE; TRABECULAR BONES;

EID: 84861698730     PISSN: 17516161     EISSN: 18780180     Source Type: Journal    
DOI: 10.1016/j.jmbbm.2012.03.003     Document Type: Article
Times cited : (74)

References (76)
  • 1
    • 0014117723 scopus 로고
    • The tensile properties of single osteons
    • Ascenzi A., Bonucci E. The tensile properties of single osteons. The Anatomical Record 1967, 158(4):375-386.
    • (1967) The Anatomical Record , vol.158 , Issue.4 , pp. 375-386
    • Ascenzi, A.1    Bonucci, E.2
  • 3
    • 33750607019 scopus 로고    scopus 로고
    • The role of cortical bone and its microstructure in bone strength
    • Augat P., Schorlemmer S. The role of cortical bone and its microstructure in bone strength. Age and Ageing 2006, 35(Suppl. 2):ii27-ii31.
    • (2006) Age and Ageing , vol.35 , Issue.SUPPL. 2
    • Augat, P.1    Schorlemmer, S.2
  • 4
    • 0017067303 scopus 로고
    • Quantitative analysis of amorphous and crystalline bone tissue mineral in women with osteoporosis
    • Baud C.A., Pouezat J.A., Tochon Danguy H.J. Quantitative analysis of amorphous and crystalline bone tissue mineral in women with osteoporosis. Calcified Tissue International 1976, 21(Suppl.):452-456.
    • (1976) Calcified Tissue International , vol.21 , Issue.SUPPL. , pp. 452-456
    • Baud, C.A.1    Pouezat, J.A.2    Tochon Danguy, H.J.3
  • 5
    • 0025019723 scopus 로고
    • Bone mineral and matrix. Are they altered in osteoporosis?
    • Boskey A.L. Bone mineral and matrix. Are they altered in osteoporosis?. Orthopedic Clinics of North America 1990, 21(1):19-29.
    • (1990) Orthopedic Clinics of North America , vol.21 , Issue.1 , pp. 19-29
    • Boskey, A.L.1
  • 6
    • 0032032059 scopus 로고    scopus 로고
    • Effect of estrogen suppression on the mineralization density of iliac crest biopsies in young women as assessed by backscattered electron imaging
    • Boyde A., Compston J.E., Reeve J., Bell K.L., Noble B.S., Jones S.J., Loveridge N. Effect of estrogen suppression on the mineralization density of iliac crest biopsies in young women as assessed by backscattered electron imaging. Bone 1998, 22(3):241-250.
    • (1998) Bone , vol.22 , Issue.3 , pp. 241-250
    • Boyde, A.1    Compston, J.E.2    Reeve, J.3    Bell, K.L.4    Noble, B.S.5    Jones, S.J.6    Loveridge, N.7
  • 8
    • 78651466765 scopus 로고    scopus 로고
    • The effects of estrogen deficiency and bisphosphonate treatment on tissue mineralisation and stiffness in an ovine model of osteoporosis
    • Brennan O., Kennedy O.D., Lee T.C., Rackard S.M., O'Brien F.J., McNamara L.M. The effects of estrogen deficiency and bisphosphonate treatment on tissue mineralisation and stiffness in an ovine model of osteoporosis. Journal of Biomechanics 2011, 44(3):386-390.
    • (2011) Journal of Biomechanics , vol.44 , Issue.3 , pp. 386-390
    • Brennan, O.1    Kennedy, O.D.2    Lee, T.C.3    Rackard, S.M.4    O'Brien, F.J.5    McNamara, L.M.6
  • 10
    • 0025200816 scopus 로고
    • The elastic moduli of human subchondral, trabecular, and cortical bone tissue and the size-dependency of cortical bone modulus
    • Choi K., Kuhn J., Ciarelli M., Goldstein S. The elastic moduli of human subchondral, trabecular, and cortical bone tissue and the size-dependency of cortical bone modulus. Journal of Biomechanics 1990, 23(11):1103-1113.
    • (1990) Journal of Biomechanics , vol.23 , Issue.11 , pp. 1103-1113
    • Choi, K.1    Kuhn, J.2    Ciarelli, M.3    Goldstein, S.4
  • 13
    • 79955472162 scopus 로고    scopus 로고
    • Microstructural mechanical study of a transverse osteon under compressive loading: the role of fiber reinforcement and explanation of some geometrical and mechanical microscopic properties
    • De Micheli P.O., Witzel U. Microstructural mechanical study of a transverse osteon under compressive loading: the role of fiber reinforcement and explanation of some geometrical and mechanical microscopic properties. Journal of Biomechanics 2011, 44(8):1588-1592.
    • (2011) Journal of Biomechanics , vol.44 , Issue.8 , pp. 1588-1592
    • De Micheli, P.O.1    Witzel, U.2
  • 15
    • 0041565072 scopus 로고    scopus 로고
    • Nanomechanical properties and mineral concentration in articular calcified cartilage and subchondral bone
    • Ferguson V., Bushby A., Boyde A. Nanomechanical properties and mineral concentration in articular calcified cartilage and subchondral bone. Journal of Anatomy 2003, 203(2):191-202.
    • (2003) Journal of Anatomy , vol.203 , Issue.2 , pp. 191-202
    • Ferguson, V.1    Bushby, A.2    Boyde, A.3
  • 16
    • 4043114822 scopus 로고    scopus 로고
    • Structure and mechanical quality of the collagen-mineral nano-composite in bone
    • Fratzl P., Gupta H.S., Paschalis E.P., Roschger P. Structure and mechanical quality of the collagen-mineral nano-composite in bone. Journal of Materials Chemistry 2004, 14(14):2115-2123.
    • (2004) Journal of Materials Chemistry , vol.14 , Issue.14 , pp. 2115-2123
    • Fratzl, P.1    Gupta, H.S.2    Paschalis, E.P.3    Roschger, P.4
  • 17
    • 0033805851 scopus 로고    scopus 로고
    • A physical, chemical, and mechanical study of lumbar vertebrae from normal, ovariectomized, and nandrolone decanoate-treated cynomolgus monkeys (macaca fascicularis)
    • Gadeleta S.J., Boskey A.L., Paschalis E., Carlson C., Menschik F., Baldini T., Peterson M., Rimnac C.M. A physical, chemical, and mechanical study of lumbar vertebrae from normal, ovariectomized, and nandrolone decanoate-treated cynomolgus monkeys (macaca fascicularis). Bone 2000, 27(4):541-550.
    • (2000) Bone , vol.27 , Issue.4 , pp. 541-550
    • Gadeleta, S.J.1    Boskey, A.L.2    Paschalis, E.3    Carlson, C.4    Menschik, F.5    Baldini, T.6    Peterson, M.7    Rimnac, C.M.8
  • 18
    • 67649464198 scopus 로고    scopus 로고
    • Nonlinear hierarchical multiscale modeling of cortical bone considering its nanoscale microstructure
    • Ghanbari J., Naghdabadi R. Nonlinear hierarchical multiscale modeling of cortical bone considering its nanoscale microstructure. Journal of Biomechanics 2009, 42(10):1560-1565.
    • (2009) Journal of Biomechanics , vol.42 , Issue.10 , pp. 1560-1565
    • Ghanbari, J.1    Naghdabadi, R.2
  • 19
    • 0023858515 scopus 로고
    • Twisted plywood architecture of collagen fibrils in human compact bone osteons
    • Giraud-Guille M. Twisted plywood architecture of collagen fibrils in human compact bone osteons. Calcified Tissue International 1988, 42(3):167-180.
    • (1988) Calcified Tissue International , vol.42 , Issue.3 , pp. 167-180
    • Giraud-Guille, M.1
  • 22
    • 77954959951 scopus 로고    scopus 로고
    • Multiscale modeling of elastic properties of cortical bone
    • Hamed E., Lee Y., Jasiuk I. Multiscale modeling of elastic properties of cortical bone. Acta Mechanica 2010, 213(1):131-154.
    • (2010) Acta Mechanica , vol.213 , Issue.1 , pp. 131-154
    • Hamed, E.1    Lee, Y.2    Jasiuk, I.3
  • 24
    • 31344480754 scopus 로고    scopus 로고
    • Assessment of composition and anisotropic elastic properties of secondary osteon lamellae
    • Hofmann T., Heyroth F., Meinhard H., Fränzel W., Raum K. Assessment of composition and anisotropic elastic properties of secondary osteon lamellae. Journal of Biomechanics 2006, 39(12):2282-2294.
    • (2006) Journal of Biomechanics , vol.39 , Issue.12 , pp. 2282-2294
    • Hofmann, T.1    Heyroth, F.2    Meinhard, H.3    Fränzel, W.4    Raum, K.5
  • 25
    • 0036251465 scopus 로고    scopus 로고
    • Cancellous bone mechanical properties from normals and patients with hip fractures differ on the structure level, not on the bone hard tissue level
    • Homminga J., McCreadie B.R., Ciarelli T.E., Weinans H., Goldstein S.A., Huiskes R. Cancellous bone mechanical properties from normals and patients with hip fractures differ on the structure level, not on the bone hard tissue level. Bone 2002, 30(5):759-764.
    • (2002) Bone , vol.30 , Issue.5 , pp. 759-764
    • Homminga, J.1    McCreadie, B.R.2    Ciarelli, T.E.3    Weinans, H.4    Goldstein, S.A.5    Huiskes, R.6
  • 27
    • 0033798413 scopus 로고    scopus 로고
    • Mineralized collagen fibrils: a mechanical model with a staggered arrangement of mineral particles
    • Jäger I., Fratzl P. Mineralized collagen fibrils: a mechanical model with a staggered arrangement of mineral particles. Biophysical Journal 2000, 79(4):1737-1746.
    • (2000) Biophysical Journal , vol.79 , Issue.4 , pp. 1737-1746
    • Jäger, I.1    Fratzl, P.2
  • 28
    • 33745248007 scopus 로고    scopus 로고
    • Elastic properties of nanocomposite structure of bone
    • Ji B., Gao H. Elastic properties of nanocomposite structure of bone. Composites Science and Technology 2006, 66(9):1212-1218.
    • (2006) Composites Science and Technology , vol.66 , Issue.9 , pp. 1212-1218
    • Ji, B.1    Gao, H.2
  • 29
    • 0015130955 scopus 로고
    • Hard tissue as a composite material-I. Bounds on the elastic behavior
    • Katz J.L. Hard tissue as a composite material-I. Bounds on the elastic behavior. Journal of Biomechanics 1971, 4(5):455-473.
    • (1971) Journal of Biomechanics , vol.4 , Issue.5 , pp. 455-473
    • Katz, J.L.1
  • 30
    • 9844257577 scopus 로고    scopus 로고
    • Material properties of bone from the femoral neck and calcar femorale of patients with osteoporosis or osteoarthritis
    • Li B., Aspden R. Material properties of bone from the femoral neck and calcar femorale of patients with osteoporosis or osteoarthritis. Osteoporosis International 1997, 7(5):450-456.
    • (1997) Osteoporosis International , vol.7 , Issue.5 , pp. 450-456
    • Li, B.1    Aspden, R.2
  • 31
    • 79957912197 scopus 로고    scopus 로고
    • Effect of porosity and mineral content on the elastic constants of cortical bone: a multiscale approach
    • Martínez-Reina J., Domínguez J., García-Aznar J. Effect of porosity and mineral content on the elastic constants of cortical bone: a multiscale approach. Biomechanics and Modeling in Mechanobiology 2011, 10(3):309-322.
    • (2011) Biomechanics and Modeling in Mechanobiology , vol.10 , Issue.3 , pp. 309-322
    • Martínez-Reina, J.1    Domínguez, J.2    García-Aznar, J.3
  • 32
    • 84864302763 scopus 로고    scopus 로고
    • Bone as a material
    • P. Ducheyne, K.E. Healy, D.E. Hutmacher, D.E. Grainger, C.J. Kirkpatrick (Eds.)
    • McNamara L. Bone as a material. Comprehensive Biomaterials 2011, P. Ducheyne, K.E. Healy, D.E. Hutmacher, D.E. Grainger, C.J. Kirkpatrick (Eds.).
    • (2011) Comprehensive Biomaterials
    • McNamara, L.1
  • 33
    • 33744945021 scopus 로고    scopus 로고
    • Strength of cancellous bone trabecular tissue from normal, ovariectomized and drug-treated rats over the course of ageing
    • McNamara L.M., Ederveen A.G., Lyons C.G., Price C., Schaffler M.B., Weinans H., Prendergast P.J. Strength of cancellous bone trabecular tissue from normal, ovariectomized and drug-treated rats over the course of ageing. Bone 2006, 39(2):392-400.
    • (2006) Bone , vol.39 , Issue.2 , pp. 392-400
    • McNamara, L.M.1    Ederveen, A.G.2    Lyons, C.G.3    Price, C.4    Schaffler, M.B.5    Weinans, H.6    Prendergast, P.J.7
  • 36
    • 0024662128 scopus 로고
    • Experimental method for the measurement of the elastic modulus of trabecular bone tissue
    • Mente P., Lewis J. Experimental method for the measurement of the elastic modulus of trabecular bone tissue. Journal of Orthopaedic Research 1989, 7(3):456-461.
    • (1989) Journal of Orthopaedic Research , vol.7 , Issue.3 , pp. 456-461
    • Mente, P.1    Lewis, J.2
  • 37
    • 0026041101 scopus 로고
    • Electron imaging and diffraction study of individual crystals of bone, mineralized tendon and synthetic carbonate apatite
    • Moradian-Oldak J., Weiner S., Addadi L., Landis W.J., Traub W. Electron imaging and diffraction study of individual crystals of bone, mineralized tendon and synthetic carbonate apatite. Connective Tissue Research 1991, 25(3-4):219-228.
    • (1991) Connective Tissue Research , vol.25 , Issue.3-4 , pp. 219-228
    • Moradian-Oldak, J.1    Weiner, S.2    Addadi, L.3    Landis, W.J.4    Traub, W.5
  • 38
    • 0038673390 scopus 로고    scopus 로고
    • Trabecular bone modulus-density relationships depend on anatomic site
    • Morgan E.F., Bayraktar H.H., Keaveny T.M. Trabecular bone modulus-density relationships depend on anatomic site. Journal of Biomechanics 2003, 36(7):897-904.
    • (2003) Journal of Biomechanics , vol.36 , Issue.7 , pp. 897-904
    • Morgan, E.F.1    Bayraktar, H.H.2    Keaveny, T.M.3
  • 42
    • 84864322726 scopus 로고    scopus 로고
    • Biomechanics of bones on various length scales
    • Nackenhorst U., Lenz C. Biomechanics of bones on various length scales. PAMM 2005, 5(1):31-34.
    • (2005) PAMM , vol.5 , Issue.1 , pp. 31-34
    • Nackenhorst, U.1    Lenz, C.2
  • 43
    • 34447504541 scopus 로고    scopus 로고
    • Densitometric, morphometric and mechanical distributions in the human proximal femur
    • Nazarian A., Muller J., Zurakowski D., Müller R., Snyder B.D. Densitometric, morphometric and mechanical distributions in the human proximal femur. Journal of Biomechanics 2007, 40(11):2573-2579.
    • (2007) Journal of Biomechanics , vol.40 , Issue.11 , pp. 2573-2579
    • Nazarian, A.1    Muller, J.2    Zurakowski, D.3    Müller, R.4    Snyder, B.D.5
  • 46
    • 84934442675 scopus 로고    scopus 로고
    • Determination of bone's mechanical matrix properties by nanoindentation
    • Ozcivici E., Ferreri S., Qin Y., Judex S. Determination of bone's mechanical matrix properties by nanoindentation. Methods in Molecular Biology 2008, 455:323-334.
    • (2008) Methods in Molecular Biology , vol.455 , pp. 323-334
    • Ozcivici, E.1    Ferreri, S.2    Qin, Y.3    Judex, S.4
  • 47
    • 0348107293 scopus 로고    scopus 로고
    • Pragmatic multiscale modelling of bone as a natural hybrid nanocomposite
    • Porter D. Pragmatic multiscale modelling of bone as a natural hybrid nanocomposite. Materials Science and Engineering A 2004, 365(1-2):38-45.
    • (2004) Materials Science and Engineering A , vol.365 , Issue.1-2 , pp. 38-45
    • Porter, D.1
  • 49
    • 36649000004 scopus 로고    scopus 로고
    • Nano and macro structure of cortical bone: numerical investigations
    • Racila M., Crolet J.M. Nano and macro structure of cortical bone: numerical investigations. Mechanics of Advanced Materials and Structures 2007, 14(8):655-663.
    • (2007) Mechanics of Advanced Materials and Structures , vol.14 , Issue.8 , pp. 655-663
    • Racila, M.1    Crolet, J.M.2
  • 50
    • 79551569249 scopus 로고    scopus 로고
    • Elastic anisotropy of bone lamellae as a function of fibril orientation pattern
    • Reisinger A., Pahr D., Zysset P. Elastic anisotropy of bone lamellae as a function of fibril orientation pattern. Biomechanics and Modeling in Mechanobiology 2011, 10(1):67-77.
    • (2011) Biomechanics and Modeling in Mechanobiology , vol.10 , Issue.1 , pp. 67-77
    • Reisinger, A.1    Pahr, D.2    Zysset, P.3
  • 51
    • 0027551874 scopus 로고
    • Young's modulus of trabecular and cortical bone material: ultrasonic and microtensile measurements
    • Rho J., Ashman R., Turner C. Young's modulus of trabecular and cortical bone material: ultrasonic and microtensile measurements. Journal of Biomechanics 1993, 26(2):111-119.
    • (1993) Journal of Biomechanics , vol.26 , Issue.2 , pp. 111-119
    • Rho, J.1    Ashman, R.2    Turner, C.3
  • 53
    • 0033119284 scopus 로고    scopus 로고
    • Elastic properties of microstructural components of human bone tissue as measured by nanoindentation
    • Rho J., Roy M.N., Tsui T., Pharr G. Elastic properties of microstructural components of human bone tissue as measured by nanoindentation. Journal of Biomedical Materials Research 1999, 45(1):48-54.
    • (1999) Journal of Biomedical Materials Research , vol.45 , Issue.1 , pp. 48-54
    • Rho, J.1    Roy, M.N.2    Tsui, T.3    Pharr, G.4
  • 54
    • 0031260276 scopus 로고    scopus 로고
    • Elastic properties of human cortical and trabecular lamellar bone measured by nanoindentation
    • Rho J., Tsui T., Pharr G. Elastic properties of human cortical and trabecular lamellar bone measured by nanoindentation. Biomaterials 1997, 18(20):1325-1330.
    • (1997) Biomaterials , vol.18 , Issue.20 , pp. 1325-1330
    • Rho, J.1    Tsui, T.2    Pharr, G.3
  • 56
    • 19944375237 scopus 로고
    • An electron-microscopic study of the crystalline inorganic component of bone and its relationship to the organic matrix
    • Passim
    • Robinson R.A. An electron-microscopic study of the crystalline inorganic component of bone and its relationship to the organic matrix. The Journal of Bone and Joint Surgery (American Volume) 1952, 34-A(2):389-435. Passim.
    • (1952) The Journal of Bone and Joint Surgery (American Volume) , Issue.2 , pp. 389-435
    • Robinson, R.A.1
  • 57
    • 0042333468 scopus 로고    scopus 로고
    • TEM analysis of the nanostructure of normal and osteoporotic human trabecular bone
    • Rubin M.A., Jasiuk I., Taylor J., Rubin J., Ganey T., Apkarian R.P. TEM analysis of the nanostructure of normal and osteoporotic human trabecular bone. Bone 2003, 33(3):270-282.
    • (2003) Bone , vol.33 , Issue.3 , pp. 270-282
    • Rubin, M.A.1    Jasiuk, I.2    Taylor, J.3    Rubin, J.4    Ganey, T.5    Apkarian, R.P.6
  • 58
    • 0016840350 scopus 로고
    • The micro-mechanics of cancellous bone. II. Determination of the elastic modulus of individual trabeculae by a buckling analysis
    • Runkle J., Pugh J. The micro-mechanics of cancellous bone. II. Determination of the elastic modulus of individual trabeculae by a buckling analysis. Bulletin of the Hospital for Joint Diseases 1975, 36(1):2-10.
    • (1975) Bulletin of the Hospital for Joint Diseases , vol.36 , Issue.1 , pp. 2-10
    • Runkle, J.1    Pugh, J.2
  • 59
    • 0024391405 scopus 로고
    • Tensile testing of rodlike trabeculae excised from bovine femoral bone
    • Ryan S., Williams J. Tensile testing of rodlike trabeculae excised from bovine femoral bone. Journal of Biomechanics 1989, 22(4):351-355.
    • (1989) Journal of Biomechanics , vol.22 , Issue.4 , pp. 351-355
    • Ryan, S.1    Williams, J.2
  • 60
    • 0030199161 scopus 로고    scopus 로고
    • A method for determining the biomechanical properties of trabecular and spongiosa bone tissue
    • Samelin N., Köller W., Ascherl R., Gradinger R. A method for determining the biomechanical properties of trabecular and spongiosa bone tissue. Biomedical Technology (Berl) 1996, 41(7-8):203-208.
    • (1996) Biomedical Technology (Berl) , vol.41 , Issue.7-8 , pp. 203-208
    • Samelin, N.1    Köller, W.2    Ascherl, R.3    Gradinger, R.4
  • 61
    • 0037425390 scopus 로고    scopus 로고
    • A numerical investigation of the effect of particle clustering on the mechanical properties of composites
    • Segurado J., Gonzalez C., Llorca J. A numerical investigation of the effect of particle clustering on the mechanical properties of composites. Acta Materialia 2003, 51(8):2355-2369.
    • (2003) Acta Materialia , vol.51 , Issue.8 , pp. 2355-2369
    • Segurado, J.1    Gonzalez, C.2    Llorca, J.3
  • 62
    • 0029789063 scopus 로고    scopus 로고
    • Evidence of structural and material adaptation to specific strain features in cortical bone
    • Skedros J.G., Mason M.W., Nelson M.C., Bloebaum R.D. Evidence of structural and material adaptation to specific strain features in cortical bone. The Anatomical Record 1996, 246(1):47-63.
    • (1996) The Anatomical Record , vol.246 , Issue.1 , pp. 47-63
    • Skedros, J.G.1    Mason, M.W.2    Nelson, M.C.3    Bloebaum, R.D.4
  • 63
    • 0016532213 scopus 로고
    • Buckling studies of single human trabeculae
    • Townsend P., Rose R., Radin E. Buckling studies of single human trabeculae. Journal of Biomechanics 1975, 8(3-4):199-201.
    • (1975) Journal of Biomechanics , vol.8 , Issue.3-4 , pp. 199-201
    • Townsend, P.1    Rose, R.2    Radin, E.3
  • 64
    • 0032412757 scopus 로고    scopus 로고
    • Finite element analysis of trabecular bone structure: a comparison of image-based meshing techniques
    • Ulrich D., van Rietbergen B., Weinans H., Rüegsegger P. Finite element analysis of trabecular bone structure: a comparison of image-based meshing techniques. Journal of Biomechanics 1998, 31(12):1187-1192.
    • (1998) Journal of Biomechanics , vol.31 , Issue.12 , pp. 1187-1192
    • Ulrich, D.1    van Rietbergen, B.2    Weinans, H.3    Rüegsegger, P.4
  • 65
    • 0033683455 scopus 로고    scopus 로고
    • Overall behaviour of heterogeneous elastoviscoplastic materials: effect of microstructural modelling
    • Van der Sluis O., Schreurs P.J.G., Brekelmans W.A.M., Meijer H.E.H. Overall behaviour of heterogeneous elastoviscoplastic materials: effect of microstructural modelling. Mechanics of Materials 2000, 32(8):449-462.
    • (2000) Mechanics of Materials , vol.32 , Issue.8 , pp. 449-462
    • Van der Sluis, O.1    Schreurs, P.J.G.2    Brekelmans, W.A.M.3    Meijer, H.E.H.4
  • 66
    • 79959935878 scopus 로고    scopus 로고
    • Micromechanical modelling of damage and failure in fibre reinforced composites under loading in the transverse plane.
    • Ph.D. Thesis. Mechanical, Aeronautical & Biomedical Engineering Dept. Limerick, University of Limerick.
    • Vaughan, T., 2011. Micromechanical modelling of damage and failure in fibre reinforced composites under loading in the transverse plane. Ph.D. Thesis. Mechanical, Aeronautical & Biomedical Engineering Dept. Limerick, University of Limerick.
    • (2011)
    • Vaughan, T.1
  • 67
    • 72949086180 scopus 로고    scopus 로고
    • A combined experimental-numerical approach for generating statistically equivalent fibre distributions for high strength laminated composite materials
    • Vaughan T.J., McCarthy C.T. A combined experimental-numerical approach for generating statistically equivalent fibre distributions for high strength laminated composite materials. Composites Science and Technology 2010, 70(2):291-297.
    • (2010) Composites Science and Technology , vol.70 , Issue.2 , pp. 291-297
    • Vaughan, T.J.1    McCarthy, C.T.2
  • 68
    • 78751626569 scopus 로고    scopus 로고
    • Micromechanical modelling of the transverse damage behaviour in fibre reinforced composites
    • Vaughan T.J., McCarthy C.T. Micromechanical modelling of the transverse damage behaviour in fibre reinforced composites. Composites Science and Technology 2011, 71(3):388-396.
    • (2011) Composites Science and Technology , vol.71 , Issue.3 , pp. 388-396
    • Vaughan, T.J.1    McCarthy, C.T.2
  • 69
    • 79960024153 scopus 로고    scopus 로고
    • A micromechanical study on the effect of intra-ply properties on transverse shear fracture in fibre reinforced composites
    • Vaughan T.J., McCarthy C.T. A micromechanical study on the effect of intra-ply properties on transverse shear fracture in fibre reinforced composites. Composites Part A: Applied Science and Manufacturing 2011, 42(9):1217-1228.
    • (2011) Composites Part A: Applied Science and Manufacturing , vol.42 , Issue.9 , pp. 1217-1228
    • Vaughan, T.J.1    McCarthy, C.T.2
  • 70
    • 77950543379 scopus 로고    scopus 로고
    • Finite element analysis performed on radius and tibia HR-pQCT images and fragility fractures at all sites in postmenopausal women
    • Vilayphiou N., Boutroy S., Sornay-rendu E., Van rietbergen B., Munoz F., Delmas P.D., Chapurlat R. Finite element analysis performed on radius and tibia HR-pQCT images and fragility fractures at all sites in postmenopausal women. Bone 2010, 46(4):1030-1037.
    • (2010) Bone , vol.46 , Issue.4 , pp. 1030-1037
    • Vilayphiou, N.1    Boutroy, S.2    Sornay-rendu, E.3    Van rietbergen, B.4    Munoz, F.5    Delmas, P.D.6    Chapurlat, R.7
  • 71
  • 72
    • 0031638368 scopus 로고    scopus 로고
    • The material bone: structure mechanical function relations
    • Weiner S., Wagner H.D. The material bone: structure mechanical function relations. Annual Review of Materials Science 1998, 28:271-298.
    • (1998) Annual Review of Materials Science , vol.28 , pp. 271-298
    • Weiner, S.1    Wagner, H.D.2
  • 74
    • 0041357699 scopus 로고    scopus 로고
    • Density, material quality and quantity issues in OP cancellous bone.
    • Dublin, Ireland, Royal Academy of Medicine in Ireland.
    • Zioupos, P., Aspden, R.M., 2000. Density, material quality and quantity issues in OP cancellous bone. In: 12th Conference of the European Society of Biomechanics, Dublin, Ireland, Royal Academy of Medicine in Ireland.
    • (2000) In: 12th Conference of the European Society of Biomechanics
    • Zioupos, P.1    Aspden, R.M.2
  • 75
    • 0029972721 scopus 로고    scopus 로고
    • Microstructure-microhardness relations in parallel-fibered and lamellar bone
    • Ziv V., Wagner H.D., Weiner S. Microstructure-microhardness relations in parallel-fibered and lamellar bone. Bone 1996, 18(5):417-428.
    • (1996) Bone , vol.18 , Issue.5 , pp. 417-428
    • Ziv, V.1    Wagner, H.D.2    Weiner, S.3
  • 76
    • 0033213750 scopus 로고    scopus 로고
    • Elastic modulus and hardness of cortical and trabecular bone lamellae measured by nanoindentation in the human femur
    • Zysset P., Guo X., Hoffler C., Moore K., Goldstein S. Elastic modulus and hardness of cortical and trabecular bone lamellae measured by nanoindentation in the human femur. Journal of Biomechanics 1999, 32(10):1005-1012.
    • (1999) Journal of Biomechanics , vol.32 , Issue.10 , pp. 1005-1012
    • Zysset, P.1    Guo, X.2    Hoffler, C.3    Moore, K.4    Goldstein, S.5


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.