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Volumn 7, Issue 6, 2008, Pages 463-476

Influence of boundary conditions on computed apparent elastic properties of cancellous bone

Author keywords

Digital finite element model; Elastic properties; Mixed boundary conditions; Periodic boundary conditions; Trabecular bone

Indexed keywords

BONE; ELASTIC MODULI; ELASTICITY; FINITE ELEMENT METHOD; POROUS MATERIALS;

EID: 54749118609     PISSN: 16177959     EISSN: 16822978     Source Type: Journal    
DOI: 10.1007/s10237-007-0109-7     Document Type: Article
Times cited : (120)

References (22)
  • 1
    • 0029233332 scopus 로고
    • Derivation of the in-plane elastic characteristics of masonry through homogenization theory
    • 2
    • A Anthoine 1995 Derivation of the in-plane elastic characteristics of masonry through homogenization theory Int J Solid Struct 32 2 137 163
    • (1995) Int J Solid Struct , vol.32 , pp. 137-163
    • Anthoine, A.1
  • 2
    • 0347627538 scopus 로고    scopus 로고
    • Comparison of the elastic and yield properties of human femoral trabecular and cortical bone tissue
    • 1
    • HH Bayraktar EF Morgan GL Niebur GE Morris EK Wong TM Keaveny 2004 Comparison of the elastic and yield properties of human femoral trabecular and cortical bone tissue J Biomech 37 1 27 35
    • (2004) J Biomech , vol.37 , pp. 27-35
    • Bayraktar, H.H.1    Morgan, E.F.2    Niebur, G.L.3    Morris, G.E.4    Wong, E.K.5    Keaveny, T.M.6
  • 3
    • 0033115040 scopus 로고    scopus 로고
    • New estimates of overall properties of heterogeneous solids
    • 4
    • GJ Dvorak MV Srinivas 1999 New estimates of overall properties of heterogeneous solids J Mech Phys Solids 47 4 899 920
    • (1999) J Mech Phys Solids , vol.47 , pp. 899-920
    • Dvorak, G.J.1    Srinivas, M.V.2
  • 4
    • 0032119963 scopus 로고    scopus 로고
    • Hill condition and overall properties of composites
    • 6
    • S Hazanov 1998 Hill condition and overall properties of composites Arch Appl Mech (Ingenieur Archiv) V 68 6 385 394
    • (1998) Arch Appl Mech (Ingenieur Archiv) v , vol.68 , pp. 385-394
    • Hazanov, S.1
  • 5
    • 0032679401 scopus 로고    scopus 로고
    • On apparent properties of nonlinear heterogeneous bodies smaller than the representative volume
    • 3
    • S Hazanov 1999 On apparent properties of nonlinear heterogeneous bodies smaller than the representative volume Acta Mech V 134 3 123 134
    • (1999) Acta Mech v , vol.134 , pp. 123-134
    • Hazanov, S.1
  • 6
    • 0000512741 scopus 로고
    • On overall properties of elastic heterogeneous bodies smaller than the representative volume
    • 9
    • S Hazanov M Amieur 1995 On overall properties of elastic heterogeneous bodies smaller than the representative volume Int J Eng Sci 33 9 1289 1301
    • (1995) Int J Eng Sci , vol.33 , pp. 1289-1301
    • Hazanov, S.1    Amieur, M.2
  • 7
    • 0000798009 scopus 로고
    • Order relationships for boundary conditions effect in heterogeneous bodies smaller than the representative volume
    • 12
    • S Hazanov C Huet 1994 Order relationships for boundary conditions effect in heterogeneous bodies smaller than the representative volume J Mech Phys Solids 42 12 1995 2011
    • (1994) J Mech Phys Solids , vol.42 , pp. 1995-2011
    • Hazanov, S.1    Huet, C.2
  • 8
    • 6544226089 scopus 로고
    • Elastic properties of reinforced solids: Some theoretical principles
    • R Hill 1963 Elastic properties of reinforced solids: some theoretical principles J Mech Phys Solids 11 127 140
    • (1963) J Mech Phys Solids , vol.11 , pp. 127-140
    • Hill, R.1
  • 9
    • 0027043941 scopus 로고
    • A comparison of homogenization and standard mechanics analyses for periodie porous composites
    • SJ Hollister N Kikuchi 1992 A comparison of homogenization and standard mechanics analyses for periodie porous composites Comput Mech 10 73 95
    • (1992) Comput Mech , vol.10 , pp. 73-95
    • Hollister, S.J.1    Kikuchi, N.2
  • 10
    • 0028399153 scopus 로고
    • Homogenization theory and digital imaging: A basis for studying the mechanics and design principles of bone tissue
    • 7
    • SJ Hollister N Kikuchi 1994 Homogenization theory and digital imaging: a basis for studying the mechanics and design principles of bone tissue Biotechnol Bioeng 43 7 586 596
    • (1994) Biotechnol Bioeng , vol.43 , pp. 586-596
    • Hollister, S.J.1    Kikuchi, N.2
  • 11
    • 0000926336 scopus 로고
    • Application of variational concepts to size effects in elastic heterogeneous bodies
    • 6
    • C Huet 1990 Application of variational concepts to size effects in elastic heterogeneous bodies J Mech Phys Solids 38 6 813 841
    • (1990) J Mech Phys Solids , vol.38 , pp. 813-841
    • Huet, C.1
  • 12
    • 0037659175 scopus 로고    scopus 로고
    • Elastic properties of cancellous bone derived from finite element models of parameterized microstructure cells
    • 7
    • P Kowalczyk 2003 Elastic properties of cancellous bone derived from finite element models of parameterized microstructure cells J Biomech 36 7 961 972
    • (2003) J Biomech , vol.36 , pp. 961-972
    • Kowalczyk, P.1
  • 13
    • 0033811123 scopus 로고    scopus 로고
    • High-resolution finite element models with tissue strength asymmetry accurately predict failure of trabecular bone
    • 12
    • GL Niebur MJ Feldstein JC Yuen TJ Chen TM Keaveny 2000 High-resolution finite element models with tissue strength asymmetry accurately predict failure of trabecular bone J Biomech 33 12 1575 1583
    • (2000) J Biomech , vol.33 , pp. 1575-1583
    • Niebur, G.L.1    Feldstein, M.J.2    Yuen, J.C.3    Chen, T.J.4    Keaveny, T.M.5
  • 14
    • 33644916379 scopus 로고    scopus 로고
    • Material spatial randomness: From statistical to representative volume element
    • 2
    • M Ostoja-Starzewski 2006 Material spatial randomness: from statistical to representative volume element Probab Eng Mech 21 2 112 132
    • (2006) Probab Eng Mech , vol.21 , pp. 112-132
    • Ostoja-Starzewski, M.1
  • 16
    • 33646848294 scopus 로고    scopus 로고
    • Buckling of honeycomb sandwiches: Periodic finite element considerations
    • DH Pahr FG Rammerstorfer 2006 Buckling of honeycomb sandwiches: Periodic finite element considerations CMES Comp Model Eng 12 229 242
    • (2006) CMES Comp Model Eng , vol.12 , pp. 229-242
    • Pahr, D.H.1    Rammerstorfer, F.G.2
  • 18
    • 0028936206 scopus 로고
    • A new method to determine trabecular bone elastic properties and loading using micromechanical finite-element models
    • 1
    • B Van Rietbergen H Weinans R Huiskes A Odgaard 1995 A new method to determine trabecular bone elastic properties and loading using micromechanical finite-element models J Biomech 28 1 69 81
    • (1995) J Biomech , vol.28 , pp. 69-81
    • Van Rietbergen, B.1    Weinans, H.2    Huiskes, R.3    Odgaard, A.4
  • 19
    • 0030561004 scopus 로고    scopus 로고
    • Direct mechanics assessment of elastic symmetries and properties of trabecular bone architecture
    • 12
    • B Van Rietbergen A Odgaard J Kabel R Huiskes 1996 Direct mechanics assessment of elastic symmetries and properties of trabecular bone architecture J Biomech 29 12 1653 1657
    • (1996) J Biomech , vol.29 , pp. 1653-1657
    • Van Rietbergen, B.1    Odgaard, A.2    Kabel, J.3    Huiskes, R.4
  • 20
    • 0000944343 scopus 로고
    • Fourth-rank tensors of the thirty-two crystal classes: Multiplication tables
    • LJ Walpole 1984 Fourth-rank tensors of the thirty-two crystal classes: Multiplication tables Proc R Soc Lond Series A, Math Phys Sci 391 149 179
    • (1984) Proc R Soc Lond Series A, Math Phys Sci , vol.391 , pp. 149-179
    • Walpole, L.J.1
  • 21
    • 0141565392 scopus 로고    scopus 로고
    • A review of morphology-elasticity relationships in human trabecular bone: Theories and experiments
    • 10
    • PK Zysset 2003 A review of morphology-elasticity relationships in human trabecular bone: theories and experiments J Biomech 36 10 1469 1485
    • (2003) J Biomech , vol.36 , pp. 1469-1485
    • Zysset, P.K.1
  • 22
    • 0032188843 scopus 로고    scopus 로고
    • A global relationship between trabecular bone morphology and homogenized elastic properties
    • 5
    • P-K Zysset R-W Goulet S-J Hollister 1998 A global relationship between trabecular bone morphology and homogenized elastic properties J Biomech Eng 120 5 640 6
    • (1998) J Biomech Eng , vol.120 , pp. 640-646
    • Zysset, P.-K.1    Goulet, R.-W.2    Hollister, S.-J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.