메뉴 건너뛰기




Volumn 2, Issue 2, 1998, Pages 167-180

Poroelastic model of trabecular bone in uniaxial strain conditions

Author keywords

Hydraulic stiffening pore pressure; Poroelasticity; Trabecular bone

Indexed keywords


EID: 0000021344     PISSN: 02189577     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218957798000172     Document Type: Article
Times cited : (10)

References (38)
  • 1
    • 0345643551 scopus 로고
    • General theory of three-dimensional consolidation
    • Biot MA. General theory of three-dimensional consolidation. J Appl Phys 12:155-164, 1941.
    • (1941) J Appl Phys , vol.12 , pp. 155-164
    • Biot, M.A.1
  • 2
    • 24944571072 scopus 로고
    • Theory of elasticity and consolidation for a porous anisotropic solid
    • Biot MA. Theory of elasticity and consolidation for a porous anisotropic solid. J Appl Phys 26:182-185, 1955.
    • (1955) J Appl Phys , vol.26 , pp. 182-185
    • Biot, M.A.1
  • 3
    • 0001098982 scopus 로고
    • Nonlinear and semilinear rheology of porous solid
    • Biot MA. Nonlinear and semilinear rheology of porous solid. J Geophys Res 78:4924-4937, 1973.
    • (1973) J Geophys Res , vol.78 , pp. 4924-4937
    • Biot, M.A.1
  • 4
    • 0020006949 scopus 로고
    • Compressible porous media models by use of the theory of mixtures
    • Bowen RM. Compressible porous media models by use of the theory of mixtures. Int J Eng Sci 20:697-735, 1982.
    • (1982) Int J Eng Sci , vol.20 , pp. 697-735
    • Bowen, R.M.1
  • 5
    • 0017698252 scopus 로고
    • The compressive behavior of bone as a two-phase porous structure
    • Carter DR and Hayes WC. The compressive behavior of bone as a two-phase porous structure. J Bone Joint Surg 59A:954-962, 1977.
    • (1977) J Bone Joint Surg , vol.59 A , pp. 954-962
    • Carter, D.R.1    Hayes, W.C.2
  • 6
    • 0027579804 scopus 로고
    • Mechanical and textural properties of pelvic trabecular bone
    • Dalstra M, Huiskes R, Odgaard A, Erning LV. Mechanical and textural properties of pelvic trabecular bone. J Biomech 26:523-535, 1993.
    • (1993) J Biomech , vol.26 , pp. 523-535
    • Dalstra, M.1    Huiskes, R.2    Odgaard, A.3    Erning, L.V.4
  • 8
    • 0023806012 scopus 로고
    • Compressive loading raises intraosseous pressure in the femoral head
    • Downey DJ, Simkin PA, Taggart R. Compressive loading raises intraosseous pressure in the femoral head. J Bone Joint Surg 70A:871-877, 1988.
    • (1988) J Bone Joint Surg , vol.70 A , pp. 871-877
    • Downey, D.J.1    Simkin, P.A.2    Taggart, R.3
  • 9
    • 0017624363 scopus 로고
    • The mechanical behavior of intracondylar cancellous bone of the femur at different loading rates
    • Ducheyne P, Heymans L, Martens M, Aernoudt E, de Meester P, Mulier JC. The mechanical behavior of intracondylar cancellous bone of the femur at different loading rates. J Biomech 10:747-762, 1977.
    • (1977) J Biomech , vol.10 , pp. 747-762
    • Ducheyne, P.1    Heymans, L.2    Martens, M.3    Aernoudt, E.4    De Meester, P.5    Mulier, J.C.6
  • 11
    • 0021880663 scopus 로고
    • The mechanical behavior of cancellous bone
    • Gibson LJ. The mechanical behavior of cancellous bone. J Biomech 18:317-328, 1985.
    • (1985) J Biomech , vol.18 , pp. 317-328
    • Gibson, L.J.1
  • 13
    • 0022928882 scopus 로고
    • Fluid pressure response to undrained compression in saturated sedimentary rock
    • Green DH and Wang HF. Fluid pressure response to undrained compression in saturated sedimentary rock. Geophys 51:948-956, 1986.
    • (1986) Geophys , vol.51 , pp. 948-956
    • Green, D.H.1    Wang, H.F.2
  • 14
    • 0027551834 scopus 로고
    • Bone strain sensation via transmembrane potential changes in surface osteoblasts: Loading rate and microstructural implications
    • Harrigan TP and Hamilton JJ. Bone strain sensation via transmembrane potential changes in surface osteoblasts: Loading rate and microstructural implications. J Biomech 26:183-200, 1993.
    • (1993) J Biomech , vol.26 , pp. 183-200
    • Harrigan, T.P.1    Hamilton, J.J.2
  • 16
    • 0021049334 scopus 로고
    • A structural mathematical model for the viscoelastic anisotropic behavior of trabecular bone
    • Kafka V and Jirová J. A structural mathematical model for the viscoelastic anisotropic behavior of trabecular bone. Biorheology 20:795-806, 1983.
    • (1983) Biorheology , vol.20 , pp. 795-806
    • Kafka, V.1    Jirová, J.2
  • 17
    • 0028504004 scopus 로고
    • Trabecular bone exhibits fully linear elastic behavior and yields at low strain
    • Keaveny TM, Guo XE, Wachtel EF, McMahon TA, Hayes WC. Trabecular bone exhibits fully linear elastic behavior and yields at low strain. J Biomech 27:1127-1136, 1994.
    • (1994) J Biomech , vol.27 , pp. 1127-1136
    • Keaveny, T.M.1    Guo, X.E.2    Wachtel, E.F.3    McMahon, T.A.4    Hayes, W.C.5
  • 18
    • 0027578893 scopus 로고
    • Theoretical analysis of the experimental artifact in trabecular bone compressive modulus
    • Heaveny TM, Borchers RE, Gibson LJ, Hayes WC. Theoretical analysis of the experimental artifact in trabecular bone compressive modulus. J Biomech 20:599-607, 1993.
    • (1993) J Biomech , vol.20 , pp. 599-607
    • Heaveny, T.M.1    Borchers, R.E.2    Gibson, L.J.3    Hayes, W.C.4
  • 19
    • 33749418545 scopus 로고
    • Global mechanical properties of trabecular bone: Experimental determination and prediction from a structural model
    • edited by SM Perren and E Schneider, Martinus Nijhoff, Dordrecht
    • Klever FJ, Klumpert R, Horenberg J, Grootenboer HJ, van Campen DH, Pauly T. Global mechanical properties of trabecular bone: experimental determination and prediction from a structural model. In: Biomechanics: Current Interdisciplinary Research, edited by SM Perren and E Schneider, pp. 167-172, Martinus Nijhoff, Dordrecht, 1985.
    • (1985) Biomechanics: Current Interdisciplinary Research , pp. 167-172
    • Klever, F.J.1    Klumpert, R.2    Horenberg, J.3    Grootenboer, H.J.4    Van Campen, D.H.5    Pauly, T.6
  • 20
    • 0023252395 scopus 로고
    • Permeability of cortical bone of canine tibiae
    • Li G, Bromk JT, Kelly PJ. Permeability of cortical bone of canine tibiae. Microvascular Res 34:302-310, 1987.
    • (1987) Microvascular Res , vol.34 , pp. 302-310
    • Li, G.1    Bromk, J.T.2    Kelly, P.J.3
  • 21
    • 0025766445 scopus 로고
    • Mechanical properties of trabecular bone. Dependence on strain rate
    • Linde F, Nørgaard P, Hvid I, Odgaard A, Søballe, K. Mechanical properties of trabecular bone. Dependence on strain rate. J Biomech 24:803-809, 1991.
    • (1991) J Biomech , vol.24 , pp. 803-809
    • Linde, F.1    Nørgaard, P.2    Hvid, I.3    Odgaard, A.4    Søballe, K.5
  • 22
    • 0007274043 scopus 로고
    • Effect of specimen size on hydraulic stiffening of cancellous bone
    • Luo ZP, Ochoa JA, Hillberry BM. Effect of specimen size on hydraulic stiffening of cancellous bone. Trans 39th ORS 18:174, 1993.
    • (1993) Trans 39th ORS , vol.18 , pp. 174
    • Luo, Z.P.1    Ochoa, J.A.2    Hillberry, B.M.3
  • 23
    • 0001694626 scopus 로고
    • A simple constitutive theory for a fluid-saturated porous solid
    • Morland LW. A simple constitutive theory for a fluid-saturated porous solid. J Geophys Res 77:890-900, 1972.
    • (1972) J Geophys Res , vol.77 , pp. 890-900
    • Morland, L.W.1
  • 24
    • 0000534221 scopus 로고
    • Stress concentration around a cylindrical cavity in a bone treated as a poroelastic body
    • Nowinski JL. Stress concentration around a cylindrical cavity in a bone treated as a poroelastic body. Acta Mechanica 13:281-192, 1972.
    • (1972) Acta Mechanica , vol.13 , pp. 281-1192
    • Nowinski, J.L.1
  • 25
    • 0026202752 scopus 로고
    • Stiffening of the femoral head due to intertrabecular fluid and intraosseous pressure
    • Ochoa JA, Sanders AP, Heck DA, Hillberry BM. Stiffening of the femoral head due to intertrabecular fluid and intraosseous pressure. J Biomech Eng 113:259-262, 1991.
    • (1991) J Biomech Eng , vol.113 , pp. 259-262
    • Ochoa, J.A.1    Sanders, A.P.2    Heck, D.A.3    Hillberry, B.M.4
  • 26
    • 0000622812 scopus 로고
    • Permeability of Bovine Cancellous Bone
    • Ochoa JA and Hillberry BM. Permeability of Bovine Cancellous Bone. Trans 38th ORS 17:162, 1992.
    • (1992) Trans 38th ORS , vol.17 , pp. 162
    • Ochoa, J.A.1    Hillberry, B.M.2
  • 27
    • 0017654342 scopus 로고
    • Transport mechanism between blood supply and osteocytes in long bones
    • Piekarski K and Munro, M. Transport mechanism between blood supply and osteocytes in long bones. Nature 269:80-82, 1977.
    • (1977) Nature , vol.269 , pp. 80-82
    • Piekarski, K.1    Munro, M.2
  • 28
    • 0015667763 scopus 로고
    • Elastic and viscoelastic properties of trabecular bone: Dependence on structure
    • Pugh JW, Rose RM, Radin EL. Elastic and viscoelastic properties of trabecular bone: Dependence on structure. J Biomech 6:475-485, 1973.
    • (1973) J Biomech , vol.6 , pp. 475-485
    • Pugh, J.W.1    Rose, R.M.2    Radin, E.L.3
  • 29
    • 0001230226 scopus 로고
    • Porenziffer und porenwasserdrunk in tonen
    • Rendulic L. Porenziffer und porenwasserdrunk in tonen. Der Bauingenieur 17:559-564, 1936.
    • (1936) Der Bauingenieur , vol.17 , pp. 559-564
    • Rendulic, L.1
  • 30
    • 0016950848 scopus 로고
    • Some basic stress-diffusion solutions for fluid saturated elastic porous media with compressible constituents
    • Rice JR and Cleary MP. Some basic stress-diffusion solutions for fluid saturated elastic porous media with compressible constituents. Res Geophys Space Phys 14:227-241, 1976.
    • (1976) Res Geophys Space Phys , vol.14 , pp. 227-241
    • Rice, J.R.1    Cleary, M.P.2
  • 32
    • 0016237894 scopus 로고
    • Mechanical properties of human cancellous bone in femoral head
    • Schoenfeld CM, Lautenschlager EP, Meyer PR. Mechanical properties of human cancellous bone in femoral head. Med Biol Eng 12:313-317, 1974.
    • (1974) Med Biol Eng , vol.12 , pp. 313-317
    • Schoenfeld, C.M.1    Lautenschlager, E.P.2    Meyer, P.R.3
  • 33
    • 0007207390 scopus 로고
    • Rheological characteristics of human joints
    • Univ. Tokyo Press, Tokyo, Japan
    • Tateishi T. Rheological characteristics of human joints. Recent Research on Mechanical Behavior Solids, pp. 179-204, Univ. Tokyo Press, Tokyo, Japan, 1979.
    • (1979) Recent Research on Mechanical Behavior Solids , pp. 179-204
    • Tateishi, T.1
  • 34
    • 0001786659 scopus 로고
    • Die berechnung der durchlassigkeitsziffer des tones aus dem verlauf der hydrodynamischen spannungserscheinungen. Sitz Akad Wissen
    • Terzaghi, K. Die berechnung der durchlassigkeitsziffer des tones aus dem verlauf der hydrodynamischen spannungserscheinungen. Sitz Akad Wissen. Wien Math Naturwiss Kl. Abt a 132:105-124, 1923.
    • (1923) Wien Math Naturwiss Kl. Abt A , vol.132 , pp. 105-124
    • Terzaghi, K.1
  • 35
    • 33749419786 scopus 로고
    • Elastic storage of aquifiers
    • edited by RJM DeWiest, New York, Academic Press
    • Verruijt A. Elastic storage of aquifiers. In: Flow through Porous Media, edited by RJM DeWiest, New York, Academic Press, 1969.
    • (1969) Flow Through Porous Media
    • Verruijt, A.1
  • 36
    • 0028386524 scopus 로고
    • Excitation of osteocytes by mechanical loading induced bone fluid shear stress
    • Weinbaum S, Cowin SC, Zeng Y. Excitation of osteocytes by mechanical loading induced bone fluid shear stress. J Biomech 27:339-360, 1994.
    • (1994) J Biomech , vol.27 , pp. 339-360
    • Weinbaum, S.1    Cowin, S.C.2    Zeng, Y.3
  • 37
    • 0028517441 scopus 로고
    • Oscillatory bending of a poroelastic beam
    • Zhang D and Cowin SC. Oscillatory bending of a poroelastic beam. J Mech Phys Solids 42:1575-1599, 1994.
    • (1994) J Mech Phys Solids , vol.42 , pp. 1575-1599
    • Zhang, D.1    Cowin, S.C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.