메뉴 건너뛰기




Volumn 9, Issue 5, 2010, Pages 597-611

A nonlocal constitutive model for trabecular bone softening in compression

Author keywords

Anisotropy; Constitutive law; Damage; Fabric; Nonlocal; Plasticity; Softening; Trabecular bone

Indexed keywords

ANISOTROPY; COMPUTERIZED TOMOGRAPHY; FINITE ELEMENT METHOD; PLASTICITY; POROUS MATERIALS; STIFFNESS;

EID: 77958110874     PISSN: 16177959     EISSN: 16822978     Source Type: Journal    
DOI: 10.1007/s10237-010-0200-3     Document Type: Article
Times cited : (45)

References (47)
  • 2
    • 0036841605 scopus 로고    scopus 로고
    • Nonlocal integral formulations of plasticity and damage: Survey of progress
    • 10.1061/(ASCE)0733-9399(2002)128:11(1119)
    • ZP Bažant M Jirásek 2002 Nonlocal integral formulations of plasticity and damage: survey of progress J Eng Mech ASCE 128 1119 1149 10.1061/(ASCE)0733-9399(2002)128:11(1119)
    • (2002) J Eng Mech ASCE , vol.128 , pp. 1119-1149
    • Bažant, Z.P.1    Jirásek, M.2
  • 3
    • 39749094392 scopus 로고    scopus 로고
    • Finite element analysis based on in vivo hr-pqct images of the distal radius is associated with wrist fracture in postmenopausal women
    • 10.1359/jbmr.071108
    • S Boutroy B Van Rietbergen E Sornay-Rendu F Munoz ML Bouxsein PD Delmas 2008 Finite element analysis based on in vivo hr-pqct images of the distal radius is associated with wrist fracture in postmenopausal women J Bone Miner Res 23 3 392 399 10.1359/jbmr.071108
    • (2008) J Bone Miner Res , vol.23 , Issue.3 , pp. 392-399
    • Boutroy, S.1    Van Rietbergen, B.2    Sornay-Rendu, E.3    Munoz, F.4    Bouxsein, M.L.5    Delmas, P.D.6
  • 4
    • 61549140661 scopus 로고    scopus 로고
    • A patient-specific finite element methodology to predict damage accumulation in vertebral bodies under axial compression, sagittal flexion and combined loads
    • 10.1080/10255840802078022
    • Y Chevalier M Charlebois D Pahr P Varga P Heini E Schneider P Zysset 2008 A patient-specific finite element methodology to predict damage accumulation in vertebral bodies under axial compression, sagittal flexion and combined loads Comput Methods Biomech Biomed Eng 11 5 477 487 10.1080/10255840802078022
    • (2008) Comput Methods Biomech Biomed Eng , vol.11 , Issue.5 , pp. 477-487
    • Chevalier, Y.1    Charlebois, M.2    Pahr, D.3    Varga, P.4    Heini, P.5    Schneider, E.6    Zysset, P.7
  • 5
    • 58149123525 scopus 로고    scopus 로고
    • Cement distribution, volume, and compliance in vertebroplasty: Some answers from an anatomy-based nonlinear finite element study
    • 10.1097/BRS.0b013e31817c750b
    • Y Chevalier D Pahr M Charlebois P Heini E Schneider P Zysset 2008 Cement distribution, volume, and compliance in vertebroplasty: some answers from an anatomy-based nonlinear finite element study Spine 33 16 1722 1730 10.1097/BRS.0b013e31817c750b
    • (2008) Spine , vol.33 , Issue.16 , pp. 1722-1730
    • Chevalier, Y.1    Pahr, D.2    Charlebois, M.3    Heini, P.4    Schneider, E.5    Zysset, P.6
  • 7
    • 0141638627 scopus 로고    scopus 로고
    • Finite element models predict in vitro vertebral body compressive strength better than quantitative computed tomography
    • 10.1016/S8756-3282(03)00210-2
    • RP Crawford CE Cann TM Keaveny 2003 Finite element models predict in vitro vertebral body compressive strength better than quantitative computed tomography Bone 33 4 744 750 10.1016/S8756-3282(03)00210-2
    • (2003) Bone , vol.33 , Issue.4 , pp. 744-750
    • Crawford, R.P.1    Cann, C.E.2    Keaveny, T.M.3
  • 8
    • 34548575173 scopus 로고    scopus 로고
    • In vitro replication of spontaneous fractures of the proximal human femur
    • 10.1016/j.jbiomech.2007.03.015
    • L Cristofolini M Juszczyk S Martelli F Taddei M Viceconti 2007 In vitro replication of spontaneous fractures of the proximal human femur J Biomech 40 13 2837 2845 10.1016/j.jbiomech.2007.03.015
    • (2007) J Biomech , vol.40 , Issue.13 , pp. 2837-2845
    • Cristofolini, L.1    Juszczyk, M.2    Martelli, S.3    Taddei, F.4    Viceconti, M.5
  • 9
    • 0028756152 scopus 로고
    • Conewise linear elastic materials
    • 10.1007/BF00043417 1323324 0828.73016
    • A Curnier Q-C He P Zysset 1995 Conewise linear elastic materials J Elast 37 1 1 38 10.1007/BF00043417 1323324 0828.73016
    • (1995) J Elast , vol.37 , Issue.1 , pp. 1-38
    • Curnier, A.1    He, Q.-C.2    Zysset, P.3
  • 10
    • 33144465965 scopus 로고    scopus 로고
    • Cortical and trabecular load sharing in the human vertebral body
    • 10.1359/jbmr.2006.21.2.307
    • SK Eswaran A Gupta MF Adams TM Keaveny 2006 Cortical and trabecular load sharing in the human vertebral body J Bone Miner Res 21 2 307 314 10.1359/jbmr.2006.21.2.307
    • (2006) J Bone Miner Res , vol.21 , Issue.2 , pp. 307-314
    • Eswaran, S.K.1    Gupta, A.2    Adams, M.F.3    Keaveny, T.M.4
  • 11
    • 34548538003 scopus 로고    scopus 로고
    • Locations of bone tissue at high risk of initial failure during compressive loading of the human vertebral body
    • 10.1016/j.bone.2007.05.017
    • SK Eswaran A Gupta TM Keaveny 2007 Locations of bone tissue at high risk of initial failure during compressive loading of the human vertebral body Bone 41 4 733 739 10.1016/j.bone.2007.05.017
    • (2007) Bone , vol.41 , Issue.4 , pp. 733-739
    • Eswaran, S.K.1    Gupta, A.2    Keaveny, T.M.3
  • 12
    • 0033212719 scopus 로고    scopus 로고
    • A damage model for nonlinear tensile behavior of cortical bone
    • 10.1115/1.2835084
    • MT Fondrk EH Bahniuk DT Davy 1999 A damage model for nonlinear tensile behavior of cortical bone J Biomech Eng 121 5 533 541 10.1115/1.2835084
    • (1999) J Biomech Eng , vol.121 , Issue.5 , pp. 533-541
    • Fondrk, M.T.1    Bahniuk, E.H.2    Davy, D.T.3
  • 13
    • 0033405253 scopus 로고    scopus 로고
    • Inelastic strain accumulation in cortical bone during rapid transient tensile loading
    • 10.1115/1.2800862
    • MT Fondrk EH Bahniuk DT Davy 1999 Inelastic strain accumulation in cortical bone during rapid transient tensile loading J Biomech Eng 121 6 616 621 10.1115/1.2800862
    • (1999) J Biomech Eng , vol.121 , Issue.6 , pp. 616-621
    • Fondrk, M.T.1    Bahniuk, E.H.2    Davy, D.T.3
  • 14
    • 63949083715 scopus 로고    scopus 로고
    • A three-dimensional elastic plastic damage constitutive law for bone tissue
    • 10.1007/s10237-008-0125-2
    • D Garcia P Zysset M Charlebois A Curnier 2009 A three-dimensional elastic plastic damage constitutive law for bone tissue Biomech Model Mechanobiol 8 149 165 10.1007/s10237-008-0125-2
    • (2009) Biomech Model Mechanobiol , vol.8 , pp. 149-165
    • Garcia, D.1    Zysset, P.2    Charlebois, M.3    Curnier, A.4
  • 16
    • 33748968141 scopus 로고    scopus 로고
    • Damage-plastic model for concrete failure
    • 10.1016/j.ijsolstr.2006.06.032 1120.74777
    • P Grassl M Jirásek 2006 Damage-plastic model for concrete failure Int J Solids Struct 43 22-23 7166 7196 10.1016/j.ijsolstr.2006.06.032 1120.74777
    • (2006) Int J Solids Struct , vol.43 , Issue.2223 , pp. 7166-7196
    • Grassl, P.1    Jirásek, M.2
  • 17
    • 29244477991 scopus 로고    scopus 로고
    • Plastic model with non-local damage applied to concrete
    • 10.1002/nag.479 1140.74538
    • P Grassl M Jirásek 2006 Plastic model with non-local damage applied to concrete Int J Numer Anal Methods Geomech 30 1 71 90 10.1002/nag.479 1140.74538
    • (2006) Int J Numer Anal Methods Geomech , vol.30 , Issue.1 , pp. 71-90
    • Grassl, P.1    Jirásek, M.2
  • 19
    • 0028377895 scopus 로고
    • A thermodynamically consistent framework for theories of elastoplasticity coupled with damage
    • 10.1016/0020-7683(94)90112-0
    • NR Hansen HL Schreyer 1994 A thermodynamically consistent framework for theories of elastoplasticity coupled with damage Int J Solids Struct 33 3 359 389 10.1016/0020-7683(94)90112-0
    • (1994) Int J Solids Struct , vol.33 , Issue.3 , pp. 359-389
    • Hansen, N.R.1    Schreyer, H.L.2
  • 20
    • 0016971673 scopus 로고
    • Postyield behavior of subchondral trabecular bone
    • 10.1002/jbm.820100409
    • WC Hayes DR Carter 1976 Postyield behavior of subchondral trabecular bone J Biomed Mater Res 10 4 537 544 10.1002/jbm.820100409
    • (1976) J Biomed Mater Res , vol.10 , Issue.4 , pp. 537-544
    • Hayes, W.C.1    Carter, D.R.2
  • 21
    • 63949083871 scopus 로고    scopus 로고
    • Assessment of vertebral fracture risk and therapeutic effects of alendronate in postmenopausal women using a quantitative computed tomography-based nonlinear finite element method
    • 10.1007/s00198-008-0750-8
    • K Imai I Ohnishi T Matsumoto S Yamamoto K Nakamura 2009 Assessment of vertebral fracture risk and therapeutic effects of alendronate in postmenopausal women using a quantitative computed tomography-based nonlinear finite element method Osteoporos Int 20 5 801 810 10.1007/s00198-008-0750-8
    • (2009) Osteoporos Int , vol.20 , Issue.5 , pp. 801-810
    • Imai, K.1    Ohnishi, I.2    Matsumoto, T.3    Yamamoto, S.4    Nakamura, K.5
  • 22
    • 0036612412 scopus 로고    scopus 로고
    • Consistent tangent stiffness for nonlocal damage models
    • 10.1016/S0045-7949(02)00078-0
    • M Jirásek B Patzák 2002 Consistent tangent stiffness for nonlocal damage models Comput Struct 80 14-15 1279 1293 10.1016/S0045-7949(02) 00078-0
    • (2002) Comput Struct , vol.80 , Issue.1415 , pp. 1279-1293
    • Jirásek, M.1    Patzák, B.2
  • 24
    • 33845955242 scopus 로고    scopus 로고
    • Effects of teriparatide and alendronate on vertebral strength as assessed by finite element modeling of qct scans in women with osteoporosis
    • 10.1359/jbmr.061011
    • TM Keaveny DW Donley PF Hoffmann BH Mitlak EV Glass JA San Martin 2007 Effects of teriparatide and alendronate on vertebral strength as assessed by finite element modeling of qct scans in women with osteoporosis J Bone Miner Res 22 1 149 157 10.1359/jbmr.061011
    • (2007) J Bone Miner Res , vol.22 , Issue.1 , pp. 149-157
    • Keaveny, T.M.1    Donley, D.W.2    Hoffmann, P.F.3    Mitlak, B.H.4    Glass, E.V.5    San Martin, J.A.6
  • 27
    • 0029488776 scopus 로고
    • Some fundamental issues in rate theory of damage-elastoplasticity
    • 10.1016/S0749-6419(95)00029-1 0854.73016
    • VA Lubarda D Krajcinovic 1995 Some fundamental issues in rate theory of damage-elastoplasticity Int J Plas 11 7 763 797 10.1016/S0749-6419(95)00029-1 0854.73016
    • (1995) Int J Plas , vol.11 , Issue.7 , pp. 763-797
    • Lubarda, V.A.1    Krajcinovic, D.2
  • 28
    • 43149096685 scopus 로고    scopus 로고
    • Bone strength at the distal radius can be estimated from high-resolution peripheral quantitative computed tomography and the finite element method
    • 10.1016/j.bone.2008.01.017
    • JA Macneil SK Boyd 2008 Bone strength at the distal radius can be estimated from high-resolution peripheral quantitative computed tomography and the finite element method Bone 42 6 1203 1213 10.1016/j.bone.2008.01.017
    • (2008) Bone , vol.42 , Issue.6 , pp. 1203-1213
    • MacNeil, J.A.1    Boyd, S.K.2
  • 29
    • 38149034447 scopus 로고    scopus 로고
    • The role of fabric in the quasi-static compressive mechanical properties of human trabecular bone from various anatomical locations
    • 10.1007/s10237-006-0073-7
    • M Matsuura F Eckstein E-M Lochmüller PK Zysset 2008 The role of fabric in the quasi-static compressive mechanical properties of human trabecular bone from various anatomical locations Biomech Model Mechanobiol 7 1 27 42 10.1007/s10237-006-0073-7
    • (2008) Biomech Model Mechanobiol , vol.7 , Issue.1 , pp. 27-42
    • Matsuura, M.1    Eckstein, F.2    Lochmüller, E.-M.3    Zysset, P.K.4
  • 31
    • 36049019555 scopus 로고    scopus 로고
    • Contribution of in vivo structural measurements and load/strength ratios to the determination of forearm fracture risk in postmenopausal women
    • 10.1359/jbmr.070514
    • LJ Melton BL Riggs GH van Lenthe SJ Achenbach R Müller ML Bouxsein S Amin EJ Atkinson S Khosla 2007 Contribution of in vivo structural measurements and load/strength ratios to the determination of forearm fracture risk in postmenopausal women J Bone Miner Res 22 9 1442 1448 10.1359/jbmr.070514
    • (2007) J Bone Miner Res , vol.22 , Issue.9 , pp. 1442-1448
    • Melton, L.J.1    Riggs, B.L.2    Van Lenthe, G.H.3    Achenbach, S.J.4    Müller, R.5    Bouxsein, M.L.6    Amin, S.7    Atkinson, E.J.8    Khosla, S.9
  • 32
    • 50249134426 scopus 로고    scopus 로고
    • Constitutive modelling of inelastic behaviour of cortical bone
    • 10.1016/j.medengphy.2007.12.001
    • AN Natali EL Carniel PG Pavan 2008 Constitutive modelling of inelastic behaviour of cortical bone Med Eng Phys 30 7 905 912 10.1016/j.medengphy.2007. 12.001
    • (2008) Med Eng Phys , vol.30 , Issue.7 , pp. 905-912
    • Natali, A.N.1    Carniel, E.L.2    Pavan, P.G.3
  • 33
    • 39149119937 scopus 로고    scopus 로고
    • Investigation of bone inelastic response in interaction phenomena with dental implants
    • 10.1016/j.dental.2007.11.024
    • AN Natali EL Carniel PG Pavan 2008 Investigation of bone inelastic response in interaction phenomena with dental implants Dent Mater 24 4 561 569 10.1016/j.dental.2007.11.024
    • (2008) Dent Mater , vol.24 , Issue.4 , pp. 561-569
    • Natali, A.N.1    Carniel, E.L.2    Pavan, P.G.3
  • 34
    • 63849241588 scopus 로고    scopus 로고
    • From high-resolution ct data to finite element models: Development of an integrated modular framework
    • 10.1080/10255840802144105
    • D Pahr P Zysset 2009 From high-resolution ct data to finite element models: development of an integrated modular framework Comput Methods Biomech Biomed Engin 12 1 45 57 10.1080/10255840802144105
    • (2009) Comput Methods Biomech Biomed Engin , vol.12 , Issue.1 , pp. 45-57
    • Pahr, D.1    Zysset, P.2
  • 35
    • 0035476183 scopus 로고    scopus 로고
    • Design of object oriented finite element code
    • 10.1016/S0965-9978(01)00027-8 0984.68526
    • B Patzák Z Bittnar 2001 Design of object oriented finite element code Adv Eng Softw 32 10-11 759 767 10.1016/S0965-9978(01)00027-8 0984.68526
    • (2001) Adv Eng Softw , vol.32 , Issue.1011 , pp. 759-767
    • Patzák, B.1    Bittnar, Z.2
  • 36
    • 0036269879 scopus 로고    scopus 로고
    • Estimation of distal radius failure load with micro-finite element analysis models based on three-dimensional peripheral quantitative computed tomography images
    • 10.1016/S8756-3282(02)00736-6
    • W Pistoia B van Rietbergen E-M Lochmller CA Lill F Eckstein P Regsegger 2002 Estimation of distal radius failure load with micro-finite element analysis models based on three-dimensional peripheral quantitative computed tomography images Bone 30 6 842 848 10.1016/S8756-3282(02)00736-6
    • (2002) Bone , vol.30 , Issue.6 , pp. 842-848
    • Pistoia, W.1    Van Rietbergen, B.2    Lochmller, E.-M.3    Lill, C.A.4    Eckstein, F.5    Regsegger, P.6
  • 37
    • 0031239169 scopus 로고    scopus 로고
    • Finite element models in tissue mechanics and orthopaedic implant design
    • 10.1016/S0268-0033(97)00018-1
    • P Prendergast 1997 Finite element models in tissue mechanics and orthopaedic implant design Clin Biomech 12 6 343 366 10.1016/S0268-0033(97) 00018-1
    • (1997) Clin Biomech , vol.12 , Issue.6 , pp. 343-366
    • Prendergast, P.1
  • 38
    • 0026406737 scopus 로고
    • An objective anisotropic elastic plastic model and algorithm applicable to bone mechanics
    • 0755.73016
    • L Rakotomanana A Curnier F Leyvraz 1991 An objective anisotropic elastic plastic model and algorithm applicable to bone mechanics Eur J Mech Solid 10 3 327 342 0755.73016
    • (1991) Eur J Mech Solid , vol.10 , Issue.3 , pp. 327-342
    • Rakotomanana, L.1    Curnier, A.2    Leyvraz, F.3
  • 39
    • 67349263525 scopus 로고    scopus 로고
    • Multi-axial mechanical properties of human trabecular bone
    • 10.1007/s10237-008-0128-z
    • L Rincón-Kohli P Zysset 2009 Multi-axial mechanical properties of human trabecular bone Biomech Model Mechanobiol 8 3 195 208 10.1007/s10237-008- 0128-z
    • (2009) Biomech Model Mechanobiol , vol.8 , Issue.3 , pp. 195-208
    • Rincón-Kohli, L.1    Zysset, P.2
  • 41
    • 0022010372 scopus 로고
    • Consistent tangent operators for rate-independent elastoplasticity
    • 10.1016/0045-7825(85)90070-2 822744 0535.73025
    • JC Simo RL Taylor 1985 Consistent tangent operators for rate-independent elastoplasticity Comput Methods Appl Mech Eng 48 1 101 118 10.1016/0045-7825(85) 90070-2 822744 0535.73025
    • (1985) Comput Methods Appl Mech Eng , vol.48 , Issue.1 , pp. 101-118
    • Simo, J.C.1    Taylor, R.L.2
  • 42
    • 42749084384 scopus 로고    scopus 로고
    • Indirect determination of trabecular bone effective tissue failure properties using micro-finite element simulations
    • 10.1016/j.jbiomech.2008.02.032
    • E Verhulp B van Rietbergen R Müller R Huiskes 2008 Indirect determination of trabecular bone effective tissue failure properties using micro-finite element simulations J Biomech 41 7 1479 1485 10.1016/j.jbiomech. 2008.02.032
    • (2008) J Biomech , vol.41 , Issue.7 , pp. 1479-1485
    • Verhulp, E.1    Van Rietbergen, B.2    Müller, R.3    Huiskes, R.4
  • 44
    • 0029406775 scopus 로고
    • An alternative model for anisotropic elasticity based on fabric tensors
    • 10.1016/0167-6636(95)00018-6
    • P Zysset A Curnier 1995 An alternative model for anisotropic elasticity based on fabric tensors Mech Mater 21 4 243 250 10.1016/0167-6636(95)00018-6
    • (1995) Mech Mater , vol.21 , Issue.4 , pp. 243-250
    • Zysset, P.1    Curnier, A.2
  • 45
    • 0030560935 scopus 로고    scopus 로고
    • A 3d damage model for trabecular bone based on fabric tensors
    • PK Zysset A Curnier 1996 A 3d damage model for trabecular bone based on fabric tensors J Biomech 29 12 1549 1558
    • (1996) J Biomech , vol.29 , Issue.12 , pp. 1549-1558
    • Zysset, P.K.1    Curnier, A.2
  • 47
    • 0141565392 scopus 로고    scopus 로고
    • A review of morphology-elasticity relationships in human trabecular bone: Theories and experiments
    • 10.1016/S0021-9290(03)00128-3
    • PK Zysset 2003 A review of morphology-elasticity relationships in human trabecular bone: theories and experiments J Biomech 36 10 1469 1485 10.1016/S0021-9290(03)00128-3
    • (2003) J Biomech , vol.36 , Issue.10 , pp. 1469-1485
    • Zysset, P.K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.