메뉴 건너뛰기




Volumn 44, Issue 8, 2011, Pages 1621-1625

A two-parameter model of the effective elastic tensor for cortical bone

Author keywords

Anisotropy; Cortical bone; Elasticity; Homogenization; Model

Indexed keywords

ANISOTROPIC ELASTIC PROPERTIES; BEST FIT; CORTICAL BONE; DATA SETS; ELASTIC PROPERTIES; ELASTIC TENSORS; ELASTICITY TENSOR; HOMOGENIZATION; HUMAN FEMORA; MACRO SCALE; MATRIX; MECHANICAL RESPONSE; MULTISCALE MODELS; MULTISCALES; OPTIMUM VALUE; PARAMETRIC STUDY; PORE NETWORKS; SINGLE PARAMETER; STIFFNESS COEFFICIENTS; STIFFNESS TENSOR; TRANSVERSELY ISOTROPIC; TWO PHASE COMPOSITES; TWO-PARAMETER MODELS; VARIABLE PARAMETERS;

EID: 79955470302     PISSN: 00219290     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jbiomech.2011.03.006     Document Type: Article
Times cited : (47)

References (36)
  • 1
    • 21144453883 scopus 로고    scopus 로고
    • Elastic deformation of mineralized collagen fibrils: an equivalent inclusion based composite model
    • Akkus O. Elastic deformation of mineralized collagen fibrils: an equivalent inclusion based composite model. J. Biomech. Eng.-Trans. ASME 2005, 127(3):383-390.
    • (2005) J. Biomech. Eng.-Trans. ASME , vol.127 , Issue.3 , pp. 383-390
    • Akkus, O.1
  • 3
    • 0030560725 scopus 로고    scopus 로고
    • On the mechanical characterization of compact bone structure using the homogenization theory
    • Aoubiza B., Crolet J.M., Meunier A. On the mechanical characterization of compact bone structure using the homogenization theory. J. Biomech. 1996, 29(12):1539-1547.
    • (1996) J. Biomech. , vol.29 , Issue.12 , pp. 1539-1547
    • Aoubiza, B.1    Crolet, J.M.2    Meunier, A.3
  • 4
    • 0021213283 scopus 로고
    • A continuous wave technique for the measurement of the elastic properties of cortical bone
    • Ashman R.B., Cowin S.C., Van Buskirk W.C, Rice J.C. A continuous wave technique for the measurement of the elastic properties of cortical bone. J. Biomech. 1984, 17(5):349-361.
    • (1984) J. Biomech. , vol.17 , Issue.5 , pp. 349-361
    • Ashman, R.B.1    Cowin, S.C.2    Van Buskirk, W.C.3    Rice, J.C.4
  • 5
    • 35248837447 scopus 로고    scopus 로고
    • Effect of porosity on effective diagonal stiffness coefficients (Cii) and elastic anisotropy of cortical bone at 1MHz: a finite-difference time domain study
    • Baron C., Talmant M., Laugier P. Effect of porosity on effective diagonal stiffness coefficients (Cii) and elastic anisotropy of cortical bone at 1MHz: a finite-difference time domain study. J. Acoust. Soc. Am. 2007, 122(3):1810-1817.
    • (2007) J. Acoust. Soc. Am. , vol.122 , Issue.3 , pp. 1810-1817
    • Baron, C.1    Talmant, M.2    Laugier, P.3
  • 6
    • 68049098033 scopus 로고    scopus 로고
    • The degree and distribution of cortical bone mineralization in the human femoral shaft change with age and sex in a microradiographic study
    • Bergot C., Wu Y., Jolivet E., Zhou L.Q., Laredo J.D., Bousson V. The degree and distribution of cortical bone mineralization in the human femoral shaft change with age and sex in a microradiographic study. Bone 2009, 45(3):435-442.
    • (2009) Bone , vol.45 , Issue.3 , pp. 435-442
    • Bergot, C.1    Wu, Y.2    Jolivet, E.3    Zhou, L.Q.4    Laredo, J.D.5    Bousson, V.6
  • 7
    • 0036594860 scopus 로고    scopus 로고
    • The degree of mineralization of bone tissue measured by computerized quantitative contact microradiography
    • Boivin G., Meunier P.J. The degree of mineralization of bone tissue measured by computerized quantitative contact microradiography. Calcif. Tissue Int. 2002, 70(6):503-511.
    • (2002) Calcif. Tissue Int. , vol.70 , Issue.6 , pp. 503-511
    • Boivin, G.1    Meunier, P.J.2
  • 8
    • 3242770739 scopus 로고    scopus 로고
    • Cortical bone in the human femoral neck: three-dimensional appearance and porosity using synchrotron radiation
    • Bousson V., Peyrin F., Bergot C., Hausard M., Sautet A., Laredo J.D. Cortical bone in the human femoral neck: three-dimensional appearance and porosity using synchrotron radiation. J. Bone Miner. Res. 2004, 19(5):794-801.
    • (2004) J. Bone Miner. Res. , vol.19 , Issue.5 , pp. 794-801
    • Bousson, V.1    Peyrin, F.2    Bergot, C.3    Hausard, M.4    Sautet, A.5    Laredo, J.D.6
  • 9
    • 0029395297 scopus 로고
    • Material and compositional properties of selectively demineralized cortical bone
    • Broz J.J., Simske S.J., Greenberg A.R. Material and compositional properties of selectively demineralized cortical bone. J. Biomech. 1995, 28(11):1357-1368.
    • (1995) J. Biomech. , vol.28 , Issue.11 , pp. 1357-1368
    • Broz, J.J.1    Simske, S.J.2    Greenberg, A.R.3
  • 10
    • 0027611188 scopus 로고
    • Compact bone: numerical simulation of mechanical characteristics
    • Crolet J.M., Aoubiza B., Meunier A. Compact bone: numerical simulation of mechanical characteristics. J. Biomech. 1993, 26(6):677-687.
    • (1993) J. Biomech. , vol.26 , Issue.6 , pp. 677-687
    • Crolet, J.M.1    Aoubiza, B.2    Meunier, A.3
  • 12
    • 69449101572 scopus 로고    scopus 로고
    • Specimen-specific multi-scale model for the anisotropic elastic constants of human cortical bone
    • Deuerling J.M., Yue W., Espinoza Orias A.A., Roeder R.K. Specimen-specific multi-scale model for the anisotropic elastic constants of human cortical bone. J. Biomech. 2009, 42(13):2061-2067.
    • (2009) J. Biomech. , vol.42 , Issue.13 , pp. 2061-2067
    • Deuerling, J.M.1    Yue, W.2    Espinoza Orias, A.A.3    Roeder, R.K.4
  • 13
    • 2942724172 scopus 로고    scopus 로고
    • The dependence of transversely isotropic elasticity of human femoral cortical bone on porosity
    • Dong X.N., Guo X.E. The dependence of transversely isotropic elasticity of human femoral cortical bone on porosity. J. Biomech. 2004, 37(8):1281-1287.
    • (2004) J. Biomech. , vol.37 , Issue.8 , pp. 1281-1287
    • Dong, X.N.1    Guo, X.E.2
  • 14
    • 33745456534 scopus 로고    scopus 로고
    • Prediction of cortical bone elastic constants by a two-level micromechanical model using a generalized self-consistent method
    • Dong X.N., Guo X.E. Prediction of cortical bone elastic constants by a two-level micromechanical model using a generalized self-consistent method. J. Biomech. Eng.-Trans. ASME 2006, 128(3):309-316.
    • (2006) J. Biomech. Eng.-Trans. ASME , vol.128 , Issue.3 , pp. 309-316
    • Dong, X.N.1    Guo, X.E.2
  • 17
    • 43749091555 scopus 로고    scopus 로고
    • Derivation of the mesoscopic elasticity tensor of cortical bone from quantitative impedance images at the micron scale
    • Grimal Q., Raum K., Gerisch A., Laugier P. Derivation of the mesoscopic elasticity tensor of cortical bone from quantitative impedance images at the micron scale. Comput. Meth. Biomech. Biomed. Eng. 2008, 11(2):147-157.
    • (2008) Comput. Meth. Biomech. Biomed. Eng. , vol.11 , Issue.2 , pp. 147-157
    • Grimal, Q.1    Raum, K.2    Gerisch, A.3    Laugier, P.4
  • 18
    • 38749149232 scopus 로고    scopus 로고
    • Mathematical relationships between bone density and mechanical properties: a literature review
    • Helgason B., Perilli E., Schileo E., Taddei F., Brynjolfsson S., Viceconti M. Mathematical relationships between bone density and mechanical properties: a literature review. Clin. Biomech. 2008, 23(2):135-146.
    • (2008) Clin. Biomech. , vol.23 , Issue.2 , pp. 135-146
    • Helgason, B.1    Perilli, E.2    Schileo, E.3    Taddei, F.4    Brynjolfsson, S.5    Viceconti, M.6
  • 19
    • 12344260817 scopus 로고    scopus 로고
    • Mineral-collagen interactions in elasticity of bone ultrastructure - a continuum micromechanics approach
    • Hellmich C., Barthelemy J., Dormieux L. Mineral-collagen interactions in elasticity of bone ultrastructure - a continuum micromechanics approach. Eur. J. Mech. A-Solids 2004, 23(5):783-810.
    • (2004) Eur. J. Mech. A-Solids , vol.23 , Issue.5 , pp. 783-810
    • Hellmich, C.1    Barthelemy, J.2    Dormieux, L.3
  • 20
    • 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
    • Hellmich C., Ulm F.J., Dormieux L. 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. 2004, 2(4):219-238.
    • (2004) Biomech. Model. Mechanobiol. , vol.2 , Issue.4 , pp. 219-238
    • Hellmich, C.1    Ulm, F.J.2    Dormieux, L.3
  • 21
    • 37449014031 scopus 로고    scopus 로고
    • Micromechanics-based conversion of CT data into anisotropic elasticity tensors, applied to FE simulations of a mandible
    • Hellmich C., Kober C., Erdmann B. Micromechanics-based conversion of CT data into anisotropic elasticity tensors, applied to FE simulations of a mandible. Ann. Biomed. Eng. 2008, 36(1):219-222.
    • (2008) Ann. Biomed. Eng. , vol.36 , Issue.1 , pp. 219-222
    • Hellmich, C.1    Kober, C.2    Erdmann, B.3
  • 22
    • 34548511366 scopus 로고    scopus 로고
    • Incorporating uncertainty in mechanical properties for finite element-based evaluation of bone mechanics
    • Laz P.J., Stowe J.Q., Baldwin M.A., Petrella A.J., Rullkoetter P.J. Incorporating uncertainty in mechanical properties for finite element-based evaluation of bone mechanics. J. Biomech. 2007, 40(13):2831-2836.
    • (2007) J. Biomech. , vol.40 , Issue.13 , pp. 2831-2836
    • Laz, P.J.1    Stowe, J.Q.2    Baldwin, M.A.3    Petrella, A.J.4    Rullkoetter, P.J.5
  • 23
    • 0023495508 scopus 로고
    • Considerations regarding the structure of the mammalian mineralized osteoid from viewpoint of the generalized packing model
    • Lees S. Considerations regarding the structure of the mammalian mineralized osteoid from viewpoint of the generalized packing model. Connect. Tissue Res. 1987, 16(4):281-303.
    • (1987) Connect. Tissue Res. , vol.16 , Issue.4 , pp. 281-303
    • Lees, S.1
  • 24
    • 31744449529 scopus 로고    scopus 로고
    • Elastoacoustic model with uncertain mechanical properties for ultrasonic wave velocity prediction: application to cortical bone evaluation
    • Macocco K., Grimal Q., Naili S., Soize C. Elastoacoustic model with uncertain mechanical properties for ultrasonic wave velocity prediction: application to cortical bone evaluation. J. Acoust. Soc. Am. 2006, 119(2):729-740.
    • (2006) J. Acoust. Soc. Am. , vol.119 , Issue.2 , pp. 729-740
    • Macocco, K.1    Grimal, Q.2    Naili, S.3    Soize, C.4
  • 25
    • 57349193032 scopus 로고    scopus 로고
    • The influence of mesoscale porosity on cortical bone anisotropy. Investigations via asymptotic homogenization
    • Parnell W.J., Grimal Q. The influence of mesoscale porosity on cortical bone anisotropy. Investigations via asymptotic homogenization. J. R. Soc. Interface 2009, 6(30):97-109.
    • (2009) J. R. Soc. Interface , vol.6 , Issue.30 , pp. 97-109
    • Parnell, W.J.1    Grimal, Q.2
  • 26
    • 31344479330 scopus 로고    scopus 로고
    • Derivation of elastic stiffness from site-matched mineral density and acoustic impedance maps
    • Raum K., Cleveland R.O., Peyrin F., Laugier P. Derivation of elastic stiffness from site-matched mineral density and acoustic impedance maps. Phys. Med. Biol. 2006, 51(3):747-758.
    • (2006) Phys. Med. Biol. , vol.51 , Issue.3 , pp. 747-758
    • Raum, K.1    Cleveland, R.O.2    Peyrin, F.3    Laugier, P.4
  • 27
    • 77958101171 scopus 로고    scopus 로고
    • Sensitivity analysis and parametric study of elastic properties of an unidirectional mineralized bone fibril-array using mean field methods
    • Reisinger A.G., Pahr D.H., Zysset P.K. Sensitivity analysis and parametric study of elastic properties of an unidirectional mineralized bone fibril-array using mean field methods. Biomech. Model. Mechanobiol. 2010, 9(5):499-510.
    • (2010) Biomech. Model. Mechanobiol. , vol.9 , Issue.5 , pp. 499-510
    • Reisinger, A.G.1    Pahr, D.H.2    Zysset, P.K.3
  • 28
    • 0030300132 scopus 로고    scopus 로고
    • An ultrasonic method for measuring the elastic properties of human tibial cortical and cancellous bone
    • Rho J.Y. An ultrasonic method for measuring the elastic properties of human tibial cortical and cancellous bone. Ultrasonics 1996, 34(8):777-783.
    • (1996) Ultrasonics , vol.34 , Issue.8 , pp. 777-783
    • Rho, J.Y.1
  • 29
    • 65349166763 scopus 로고    scopus 로고
    • Improving the fitness of high-dimensional biomechanical models via data-driven stochastic exploration
    • Santos V.J., Bustamante C.D., Valero-Cuevas F.J. Improving the fitness of high-dimensional biomechanical models via data-driven stochastic exploration. IEEE Trans. Biomed. Eng. 2009, 56(3):552-564.
    • (2009) IEEE Trans. Biomed. Eng. , vol.56 , Issue.3 , pp. 552-564
    • Santos, V.J.1    Bustamante, C.D.2    Valero-Cuevas, F.J.3
  • 30
    • 0034104034 scopus 로고    scopus 로고
    • Impact of the porous microstructure on the overall elastic properties of the osteonal cortical bone
    • Sevostianov I., Kachanov M. Impact of the porous microstructure on the overall elastic properties of the osteonal cortical bone. J. Biomech. 2000, 33(7):881-888.
    • (2000) J. Biomech. , vol.33 , Issue.7 , pp. 881-888
    • Sevostianov, I.1    Kachanov, M.2
  • 31
    • 67349179472 scopus 로고    scopus 로고
    • In vivo performance evaluation of bi-directional ultrasonic axial transmission for cortical bone assessment
    • Talmant M., Kolta S., Roux C., Haguenauer D., Vedel I., Cassou B., Bossy E., Laugier P. In vivo performance evaluation of bi-directional ultrasonic axial transmission for cortical bone assessment. Ultrasound Med. Biol. 2009, 35(6):912-919.
    • (2009) Ultrasound Med. Biol. , vol.35 , Issue.6 , pp. 912-919
    • Talmant, M.1    Kolta, S.2    Roux, C.3    Haguenauer, D.4    Vedel, I.5    Cassou, B.6    Bossy, E.7    Laugier, P.8
  • 33
    • 77953536589 scopus 로고    scopus 로고
    • Valid micro finite element models of vertebral trabecular bone can be obtained using tissue properties measured with nanoindentation under wet conditions
    • Wolfram U., Wilke H.J., Zysset P.K. Valid micro finite element models of vertebral trabecular bone can be obtained using tissue properties measured with nanoindentation under wet conditions. J. Biomech. 2010, 43(9):1731-1737.
    • (2010) J. Biomech. , vol.43 , Issue.9 , pp. 1731-1737
    • Wolfram, U.1    Wilke, H.J.2    Zysset, P.K.3
  • 34
    • 0017158155 scopus 로고
    • Ultrasonic wave propagation in human cortical bone-II. Measurements of elastic properties and microhardness
    • Yoon H.S., Katz J.L. Ultrasonic wave propagation in human cortical bone-II. Measurements of elastic properties and microhardness. J. Biomech. 1976, 9(7):459-464.
    • (1976) J. Biomech. , vol.9 , Issue.7 , pp. 459-464
    • Yoon, H.S.1    Katz, J.L.2
  • 35
    • 38149017144 scopus 로고    scopus 로고
    • The estimated elastic constants for a single bone osteonal lamella
    • Yoon Y.J., Cowin S.C. The estimated elastic constants for a single bone osteonal lamella. Biomech. Model. Mechanobiol. 2008, 7(1):1-11.
    • (2008) Biomech. Model. Mechanobiol. , vol.7 , Issue.1 , pp. 1-11
    • Yoon, Y.J.1    Cowin, S.C.2
  • 36
    • 0036676697 scopus 로고    scopus 로고
    • Continuum micromechanics: survey
    • Conference on Mechanics and Materials, San Diego, CA, Jun 26-29, 2001
    • Zaoui A. Continuum micromechanics: survey. J. Eng. Mech.-ASCE 2002, 128(8):808-816. Conference on Mechanics and Materials, San Diego, CA, Jun 26-29, 2001.
    • (2002) J. Eng. Mech.-ASCE , vol.128 , Issue.8 , pp. 808-816
    • Zaoui, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.