The mechanical properties of human tibial trabecular bone as a function of metaphyseal location
Abstract
Experimental determination of the elastic modulus and ultimate strength of human tibial trabecular bone as a function of metaphyseal location is presented. A 1 cm cubic matrix with planes parallel to the subchondral plate was defined on five fresh frozen cadaver tibias. Approximately 400, 7 mm X 10 mm cylindrical bone plugs were cut from the locations defined by the matrix and tested in uniaxial compressive stress at a strain rate of 0.1%S-1. Results of the study indicate that the trabecular bone properties vary as much as two orders of magnitude from one location to another. As might be predicted from Wolff's law, and noted by previous investigators, concentrations of strength arise from the medial and lateral metaphyseal cortices toward the major medial and lateral contact regions. These results may be valuable for improved analytical modeling and optimal prosthetic design.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
Young's modulus can vary by as much as 100-fold within a single epiphysis.
“Young’s modulus can vary by as much as 100-fold, and strength as much as fivefold, within a single epiphysis (88).”
From Bone Mechanical Properties in Healthy and Diseased States (2018) · cites this paper as [88]
Strength can vary as much as fivefold within a single epiphysis.
“Young’s modulus can vary by as much as 100-fold, and strength as much as fivefold, within a single epiphysis (88).”
From Bone Mechanical Properties in Healthy and Diseased States (2018) · cites this paper as [88]
Cites
The compressive behavior of bone as a two-phase porous structure
Carter, D., & Hayes, W. (1977) · The Journal of Bone & Joint Surgery · doi:10.2106/00004623-197759070-00021 · Cited by 2,001 · see citing works
Bone Compressive Strength: The Influence of Density and Strain Rate
Carter, D. R., & Hayes, W. C. (1976) · Science · doi:10.1126/science.996549 · Cited by 709 · see citing works
Koch, J. C. (1917) · American Journal of Anatomy · doi:10.1002/aja.1000210202 · Cited by 628 · see citing works
The mechanical properties of bone.
Evans, F. G. (1969) · PubMed · Cited by 562 · see citing works
Properties and an Anisotropic Model of Cancellous Bone From the Proximal Tibial Epiphysis
Williams, J. L., & Lewis, J. L. (1982) · Journal of Biomechanical Engineering · doi:10.1115/1.3138303 · Cited by 418 · see citing works
Physical properties of trabecular bone
Galante, J. O., Rostoker, W., & Ray, R. D. (1970) · Calcified Tissue International · doi:10.1007/bf02017552 · Cited by 302 · see citing works
Mechanical Property Distributions in the Cancellous Bone of the Human Proximal Femur
Brown, T. D., & Ferguson, A. B. (1980) · Acta Orthopaedica Scandinavica · doi:10.3109/17453678008990819 · Cited by 280 · see citing works
Performance of the tibial component in total knee replacement.
Bartel, D. L., Burstein, A. H., Santavicca, E. A., & Insall, J. N. (1982) · Journal of Bone and Joint Surgery · doi:10.2106/00004623-198264070-00009 · Cited by 266 · see citing works
Tibiofemoral Contact Area-Determination and Implications
Kettelkamp, D. B., & Jacobs, A. W. (1972) · Journal of Bone and Joint Surgery · doi:10.2106/00004623-197254020-00013 · Cited by 247 · see citing works
The load-bearing area in the knee joint
Walker, P. S., & Hajek, J. (1972) · Journal of Biomechanics · doi:10.1016/0021-9290(72)90030-9 · Cited by 231 · see citing works
Mechanical Properties of Dried Defatted Spongy Bone
Lindahl, O. (1976) · Acta Orthopaedica Scandinavica · doi:10.3109/17453677608998966 · Cited by 194 · see citing works
Elastic and viscoelastic properties of trabecular bone: Dependence on structure
Pugh, J., Rose, R. M., & Radin, E. L. (1973) · Journal of Biomechanics · doi:10.1016/0021-9290(73)90006-7 · Cited by 175 · see citing works
Variations in strength and structure of cancellous bone at the knee
Behrens, J. C., Walker, P. S., & Shoji, H. (1974) · Journal of Biomechanics · doi:10.1016/0021-9290(74)90010-4 · Cited by 171 · see citing works
Mechanical properties of human cancellous bone in the femoral head
Schoenfeld, C. M., Lautenschlager, E. P., & Meyer, P. R. (1974) · Medical & Biological Engineering & Computing · doi:10.1007/bf02477797 · Cited by 157 · see citing works
A comparative evaluation of tibial component designs of total knee prostheses.
Lewis, J. L., Askew, M. J., & Jaycox, D. P. (1982) · Journal of Bone and Joint Surgery · doi:10.2106/00004623-198264010-00018 · Cited by 147 · see citing works
Tensile Fracture of Cancellous Bone
Carter, D. R. P., Schwab, G. H., & Spengler, D. M. (1980) · Acta Orthopaedica Scandinavica · doi:10.3109/17453678008990868 · Cited by 138 · see citing works
Finite Elements In Biomechanics
Gallagher, R. H., SIMON, B. R., Johnson, P. C., & Gross, J. F. (1982) · Journal of Clinical Engineering · doi:10.1097/00004669-198207000-00019 · Cited by 132 · see citing works
Biomechanical Studies of the Musculo‐Skeletal System
(1962) · The Medical Journal of Australia · doi:10.5694/j.1326-5377.1962.tb20236.x · Cited by 123 · see citing works
The distribution and anisotropy of the stiffness of cancellous bone in the human patella
Townsend, P. R., Raux, P., Rose, R. M., Miegel, R. E., & Radin, E. L. (1975) · Journal of Biomechanics · doi:10.1016/0021-9290(75)90071-8 · Cited by 113 · see citing works
An analysis of tibial component design in total knee arthroplasty
Murase, K., Crowninshield, R. D., Pedersen, D. R., & Chang, T. W. (1983) · Journal of Biomechanics · doi:10.1016/0021-9290(83)90042-8 · Cited by 104 · see citing works
The mechanical behaviour of intracondylar cancellous bone of the femur at different loading rates
Ducheyne, P., Heymans, L., Martens, M. A., Aernoudt, E., Meester, P. J. D., & Mulier, J. C. (1977) · Journal of Biomechanics · doi:10.1016/0021-9290(77)90089-6 · Cited by 104 · see citing works
A structural model for the mechanical behavior of trabecular bone
Pugh, J., Rose, R. M., & Radin, E. L. (1973) · Journal of Biomechanics · doi:10.1016/0021-9290(73)90022-5 · Cited by 101 · see citing works
Postyield behavior of subchondral trabecular bone
Hayes, W. C., & Carter, D. R. P. (1976) · Journal of Biomedical Materials Research · doi:10.1002/jbm.820100409 · Cited by 99 · see citing works
Axisymmetric finite element analysis of the lateral tibial plateau
Hayes, W. C., Swenson, L. W., & Schurman, D. J. (1978) · Journal of Biomechanics · doi:10.1016/0021-9290(78)90040-4 · Cited by 86 · see citing works
Frankel, V. H. (1969) · Clinical Orthopaedics and Related Research · doi:10.1097/00003086-196907000-00040 · Cited by 80 · see citing works
Regional differences in some physical properties of human spongy bone
Evans, F. G., & King, A. I. (1961) · Cited by 40 · see citing works
Finite Elements in Biomechanics
Gallagher, R. H., SIMON, B. R., Johnson, P. C., Gross, J. F., & Crowninshield, R. D. (1983) · Journal of Applied Mechanics · doi:10.1115/1.3167073 · Cited by 34 · see citing works
THE ANISOTROPIC PROPERTIES OF TRABECULAR BONE
Harrigan, T. P., Oh, I., Harris, W. H., Mann, R. W., & Carter, D. R. P. (1980) · Elsevier eBooks · doi:10.1016/b978-0-08-026000-6.50006-8 · Cited by 6 · see citing works
ANISOTROPIC MODEL OF CANCELLOUS BONE.
Williams, J. L., & Lewis, J. L. (1979) · Cited by 1 · see citing works
Flagged first, then by citations
Cited by
Sorted by citations
Bone Mechanical Properties in Healthy and Diseased States
Morgan, E. F., Unnikrisnan, G. U., & Hussein, A. I. (2018) · Annual Review of Biomedical Engineering · doi:10.1146/annurev-bioeng-062117-121139 · Cited by 1,026 · see citing works
“Young’s modulus can vary by as much as 100-fold, and strength as much as fivefold, within a single epiphysis (88).”
Bone tissue engineering: A review in bone biomimetics and drug delivery strategies
Porter, J. R., Ruckh, T. T., & Popat, K. C. (2009) · Biotechnology Progress · doi:10.1002/btpr.246 · Cited by 812 · see citing works
Biomechanics of Trabecular Bone
Keaveny, T. M., Morgan, E. F., Niebur, G. L., & Yeh, O. C. (2001) · Annual Review of Biomedical Engineering · doi:10.1146/annurev.bioeng.3.1.307 · Cited by 807 · see citing works
“For example, compressive modulus can vary 100-fold from one location to another within a single proximal tibia (19) (Figure 2), and strength can vary fivefold within the proximal femur (20).”
On the dependence of the elasticity and strength of cancellous bone on apparent density
Rice, J. C., Cowin, S. C., & Bowman, J. A. (1988) · Journal of Biomechanics · doi:10.1016/0021-9290(88)90008-5 · Cited by 726 · see citing works
Evolution of bone transplantation: molecular, cellular and tissue strategies to engineer human bone
Yaszemski, M. J., Payne, R. G., Hayes, W. C., Langer, R., & Mikos, A. G. (1996) · Biomaterials · doi:10.1016/0142-9612(96)85762-0 · Cited by 729 · see citing works
The mechanical properties of trabecular bone: Dependence on anatomic location and function
Goldstein, S. A. (1987) · Journal of Biomechanics · doi:10.1016/0021-9290(87)90023-6 · Cited by 675 · see citing works
Self-citationBiomechanics and Mechanobiology of Trabecular Bone: A Review
Oftadeh, R., Perez‐Viloria, M., Villa‐Camacho, J. C., Vaziri, A., & Nazarian, A. (2014) · Journal of Biomechanical Engineering · doi:10.1115/1.4029176 · Cited by 554 · see citing works
Ciarelli, M. J., Goldstein, S. A., Kuhn, J. L., Cody, D. D., & Brown, M. B. (1991) · Journal of Orthopaedic Research · doi:10.1002/jor.1100090507 · Cited by 401 · see citing works
Self-citationBone repair in the twenty–first century: biology, chemistry or engineering?
Hing, K. A. (2004) · Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences · doi:10.1098/rsta.2004.1466 · Cited by 400 · see citing works
Keaveny, T. M., Wachtel, E. F., Ford, C. M., & Hayes, W. C. (1994) · Journal of Biomechanics · doi:10.1016/0021-9290(94)90054-x · Cited by 330 · see citing works
Biomechanical considerations of animal models used in tissue engineering of bone
Liebschner, M. A. K. (2003) · Biomaterials · doi:10.1016/s0142-9612(03)00515-5 · Cited by 329 · see citing works
“[20], Ciarelli et al.”
BackgroundA 20-Year Perspective on the Mechanical Properties of Trabecular Bone
Keaveny, T. M., & Hayes, W. C. (1993) · Journal of Biomechanical Engineering · doi:10.1115/1.2895536 · Cited by 318 · see citing works
Methods for Assessing Bone Quality: A Review
Donnelly, E. L. (2010) · Clinical Orthopaedics and Related Research · doi:10.1007/s11999-010-1702-0 · Cited by 302 · see citing works
“Investigations involving an animal model or cadaveric specimens allow for direct assessment of bone strength with destructive mechanical testing [12, 33, 60, 61].”
Fundamentals of Biomechanics in Tissue Engineering of Bone
Athanasiou, K. A., Zhu, C. F., Lanctot, D. R., Agrawal, C. M., & Wang, X. (2000) · Tissue Engineering · doi:10.1089/107632700418083 · Cited by 301 · see citing works
Keyak, J. H., Lee, I. Y., & Skinner, H. B. (1994) · Journal of Biomedical Materials Research · doi:10.1002/jbm.820281111 · Cited by 286 · see citing works
Heterogeneity of bone lamellar-level elastic moduli
Hoffler, C. E., Moore, K. E., Kozloff, K. M., Zysset, P. K., Brown, M. B., & Goldstein, S. A. (2000) · Bone · doi:10.1016/s8756-3282(00)00268-4 · Cited by 259 · see citing works
Self-citationShirazi-Adl, A., Dammak, M., & Paiement, G. D. (1993) · Journal of Biomedical Materials Research · doi:10.1002/jbm.820270205 · Cited by 257 · see citing works
The effect of specimen geometry on the mechanical behaviour of trabecular bone specimens
Linde, F., Hvid, I., & Madsen, F. (1992) · Journal of Biomechanics · doi:10.1016/0021-9290(92)90255-y · Cited by 234 · see citing works
Surgical Techniques and Instrumentation in Total Knee Arthroplasty
Vail, T. P., Lang, J. E., & Sikes, C. V. (2012) · Elsevier eBooks · doi:10.1016/b978-1-4377-1503-3.00105-0 · Cited by 228 · see citing works
Young's modulus, bending strength, and tissue physical properties of human compact bone
Keller, T. S., Mao, Z., & Spengler, D. M. (1990) · Journal of Orthopaedic Research® · doi:10.1002/jor.1100080416 · Cited by 227 · see citing works
Puleo, D. A., Huh, W. W., Duggirala, S. S., & DeLuca, P. P. (1998) · Journal of Biomedical Materials Research · doi:10.1002/(sici)1097-4636(199807)41:1 · Cited by 32 · see citing works
McCALDEN, R. W., McGEOUGH, J. A., & COURT-BROWN, C. M. (1997) · The Journal of Bone & Joint Surgery · doi:10.2106/00004623-199703000-00016 · Cited by 221 · see citing works
“5 megapascals; they then were returned to zero and were loaded to failure, with use of a technique similar to that described by Goldstein et al.(15).”
MethodPeter, S. J., Kim, P., Yasko, A. W., Yaszemski, M. J., & Mikos, A. G. (1999) · Journal of Biomedical Materials Research · doi:10.1002/(sici)1097-4636(19990305)44:3 · Cited by 205 · see citing works
Anatomical variation of orthotropic elastic moduli of the proximal human tibia
ASHMAN, R. B., Rho, J. Y., & Turner, C. H. (1989) · Journal of Biomechanics · doi:10.1016/0021-9290(89)90073-0 · Cited by 182 · see citing works
Liu, F., Zhang, D. Z., Zhang, P., Zhao, M., & Jafar, S. (2018) · Materials · doi:10.3390/ma11030374 · Cited by 174 · see citing works
“Proximal tibia 4–430 Longitudinal 1–13 [40]”
Presentation Counts: Microenvironmental Regulation of Stem Cells by Biophysical and Material Cues
Keung, A. J., Kumar, S., & Schaffer, D. V. (2010) · Annual Review of Cell and Developmental Biology · doi:10.1146/annurev-cellbio-100109-104042 · Cited by 170 · see citing works
“The elastic moduli of various tissues range over four orders of magnitude from <1 kPa for fat (Wellman 1999), brain (Gefen et al. 2003), and mammary tissue (Paszek et al. 2005) to ∼10 kPa for skeletal muscle (Engler et al. 2004) and 10 MPa for bone (Goldstein et al. 1983).”
In vitro degradation of a poly(propylene fumarate)-based composite material
Yaszemski, M. J., Payne, R. G., Hayes, W. C., Langer, R., & Mikos, A. G. (1996) · Biomaterials · doi:10.1016/0142-9612(96)00008-7 · Cited by 172 · see citing works
Whole Bone Mechanics and Bone Quality
Cole, J. H., & van der Meulen, M. C. H. (2011) · Clinical Orthopaedics and Related Research · doi:10.1007/s11999-011-1784-3 · Cited by 168 · see citing works
“Spatial variations in bone mass can produce 100-fold differences in cancellous bone stiffness within the tibial metaphysis, ranging from 4 to 453 MPa in a single individual [49].”
Yang, Y., Xu, T., Bei, H., Zhang, L., Tang, C. Y., Zhang, M., Xu, C., Bian, L., Yeung, K., Fuh, J. Y. H., et al. (2022) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.2206684119 · Cited by 158 · see citing works
Tibial component overhang following unicompartmental knee replacement—Does it matter?
Chau, R., Gulati, A., Pandit, H. G., Beard, D. J., Price, A. J., Dodd, C. A. F., Gill, H. S., & Murray, D. W. (2009) · The Knee · doi:10.1016/j.knee.2008.12.017 · Cited by 156 · see citing works
“The strongest bone in the proximal tibial plateau is the cortex [3], this should therefore be covered by the implant [2].”
BackgroundYaszemski, M. J., Payne, R. G., Hayes, W. C., Langer, R., Aufdemorte, T. B., & Mikos, A. G. (1995) · Tissue Engineering · doi:10.1089/ten.1995.1.41 · Cited by 149 · see citing works
Shkarina, S., Shkarin, R., Weinhardt, V., Melnik, E. V., Vacun, G., Kluger, P. J., Loza, K., Epple, M., Ivlev, S. I., Baumbach, T., et al. (2018) · Scientific Reports · doi:10.1038/s41598-018-27097-7 · Cited by 131 · see citing works
Age, gender, and bone lamellae elastic moduli
Hoffler, C. E., Moore, K. E., Kozloff, K. M., Zysset, P. K., & Goldstein, S. A. (2000) · Journal of Orthopaedic Research® · doi:10.1002/jor.1100180315 · Cited by 129 · see citing works
Self-citationHvid, I., Bentzen, S. M., Linde, F., Mosekilde, L., & Pongsoipetch, B. (1989) · Journal of Biomechanics · doi:10.1016/0021-9290(89)90067-5 · Cited by 128 · see citing works
Trabecular bone strength patterns at the proximal tibial epiphysis
Hvid, I., & Hansen, S. L. (1985) · Journal of Orthopaedic Research® · doi:10.1002/jor.1100030409 · Cited by 121 · see citing works
Standardizing compression testing for measuring the stiffness of human bone
Zhao, S., Arnold, M. C. A., Ma, S., Abel, R., Cobb, J. P., Hansen, U., & Boughton, O. R. (2018) · Bone and Joint Research · doi:10.1302/2046-3758.78.bjr-2018-0025.r1 · Cited by 122 · see citing works
Meyer, E., Baumer, T. G., Slade, J., Smith, W. E., & Haut, R. (2008) · American Journal of Sports Medicine · doi:10.1177/0363546508318046 · Cited by 121 · see citing works
Comparison of mechanical properties of human, bovine bone and a new processed bone xenograft
Poumarat, G., & Squire, P. (1993) · Biomaterials · doi:10.1016/0142-9612(93)90051-3 · Cited by 114 · see citing works
Kamibayashi, L., WYSS, U. P., Cooke, T. D. V., & Zee, B. C.-Y. (1995) · Bone · doi:10.1016/8756-3282(95)00137-3 · Cited by 113 · see citing works
Tensile testing of rodlike trabeculae excised from bovine femoral bone
Ryan, S. D., & Williams, J. L. (1989) · Journal of Biomechanics · doi:10.1016/0021-9290(89)90049-3 · Cited by 112 · see citing works
Open-wedge osteotomy of the proximal tibia with hemicallotasis
Nakamura, E., Mizuta, H., Kudo, S., Takagi, K., & Sakamoto, K. (2001) · Journal of Bone and Joint Surgery - British Volume · doi:10.1302/0301-620x.83b8.0831111 · Cited by 108 · see citing works
Samavedi, S., Horton, C. O., Guelcher, S. A., Goldstein, A. S., & Whittington, A. R. (2011) · Acta Biomaterialia · doi:10.1016/j.actbio.2011.07.008 · Cited by 106 · see citing works
“This range of moduli is two to three orders of magnitude lower than human ACL (111–144 MPa [35]), tibial (100–300 MPa [36]) and femoral (400–1500 MPa [37]) trabecular bone.”
BackgroundGlenoid cancellous bone strength and modulus
Anglin, C., Tolhurst, P., WYSS, U. P., & Pichora, D. R. (1999) · Journal of Biomechanics · doi:10.1016/s0021-9290(99)00087-1 · Cited by 106 · see citing works
Distribution of bone strength in the proximal tibia
Harada, Y., Wevers, H. W., & Cooke, T. D. V. (1988) · The Journal of Arthroplasty · doi:10.1016/s0883-5403(88)80082-2 · Cited by 100 · see citing works
Pull‐out strength of five suture anchors
Carpenter, J. E., Fish, D. N., Huston, L. J., & Goldstein, S. A. (1993) · Arthroscopy The Journal of Arthroscopic and Related Surgery · doi:10.1016/s0749-8063(05)80354-8 · Cited by 100 · see citing works
Self-citationPeter, S. J., Nolley, J. A., Widmer, M. S., Merwin, J. E., Yaszemski, M. J., Yasko, A. W., Engel, P. S., & Mikos, A. G. (1997) · Tissue Engineering · doi:10.1089/ten.1997.3.207 · Cited by 100 · see citing works
Finite element analysis of the implanted proximal tibia
Taylor, M., Tanner, K. E., & Freeman, M. A. R. (1998) · Journal of Biomechanics · doi:10.1016/s0021-9290(98)00022-0 · Cited by 99 · see citing works
Liu, F., Ran, Q., Zhao, M., Zhang, T., Zhang, D. Z., & Su, Z. (2020) · Materials · doi:10.3390/ma13112589 · Cited by 91 · see citing works
“However, due to the complexity of the architecture and the variability of properties within natural bone, the current challenge is to locally manipulate the internal porosity and pore shape to meet the requirements of specific repair sites [1,13], for instance, native tissues consisting of inhomogeneous structures [14…”
BackgroundThe effects of tibial component inclination on bone stress after unicompartmental knee arthroplasty
Iesaka, K., Tsumura, H., Sonoda, H., Sawatari, T., Takasita, M., & Torisu, T. (2002) · Journal of Biomechanics · doi:10.1016/s0021-9290(01)00244-5 · Cited by 90 · see citing works
Li, M. G., & Nilsson, K. G. (2000) · The Journal of Arthroplasty · doi:10.1054/arth.2000.6617 · Cited by 89 · see citing works
“cating a greater weight-bearing capacity of the medial condyle [13].”
BackgroundThe limitations of canine trabecular bone as a model for human: A biomechanical study
Kuhn, J. L., Goldstein, S. A., Ciarelli, M. J., & Matthews, L. S. (1989) · Journal of Biomechanics · doi:10.1016/0021-9290(89)90032-8 · Cited by 88 · see citing works
“…from the literature of compressive strength -modulus relationships for trabecular bone Reference Ducheynne et al. (1977) Williams and Lewis (1982) Goldstein et al. (1983) Specimens and test parameters Relationship Human femur, cylindrical S=2,16+.01E(MPa) specimens, d = 5 mm strain rate = 2.08%…”
BackgroundInfluentialSelf-citationMechanical Properties of Trabecular Bone by a Non-Destructive Compression Testing Approach
Linde, F., Gøosthgen, C. B., Hvid, I., Pongsoipetch, B., & Bentzen, S. (1988) · Engineering in Medicine · doi:10.1243/emed_jour_1988_017_008_02 · Cited by 89 · see citing works
Development of a novel biodegradable porous iron-based implant for bone replacement
Wegener, B., Sichler, A., Milz, S., Sprecher, C. M., Pieper, K., Hermanns, W., Jansson, V., Nies, B. A., Kieback, B., Müller, P. E., et al. (2020) · Scientific Reports · doi:10.1038/s41598-020-66289-y · Cited by 88 · see citing works
Technical note. Characterization of a synthetic foam as a model for human cancellous bone
Szivek, J. A., Thomas, M., & Benjamin, J. B. (1993) · Journal of Applied Biomaterials · doi:10.1002/jab.770040309 · Cited by 88 · see citing works
Zhao, D., Yu, K., Sun, T., Jing, X., Wan, Y., Chen, K., Gao, H., Wang, Y., Chen, L., Guo, X., et al. (2023) · Advanced Functional Materials · doi:10.1002/adfm.202213128 · Cited by 87 · see citing works
Ultrasonic characterization of human trabecular bone microstructure
Hakulinen, M. A., Day, J. S., Töyräs, J., Weinans, H., & Jurvelin, J. S. (2006) · Physics in Medicine and Biology · doi:10.1088/0031-9155/51/6/019 · Cited by 87 · see citing works
“This results in significant variations in the elastic modulus and strength both within and across skeletal sites (Brown and Ferguson 1980, Goldstein et al 1983, Keaveny et al 1994, Majumdar et al 1998).”
BackgroundStiffness behaviour of trabecular bone specimens
Linde, F., & Hvid, I. (1987) · Journal of Biomechanics · doi:10.1016/0021-9290(87)90270-3 · Cited by 86 · see citing works
Mechanical and morphometric analysis of the third carpal bone of Thoroughbreds
Young, D. R., Richardson, D. W., Markel, M. D., & Nunamaker, D. M. (1991) · American Journal of Veterinary Research · doi:10.2460/ajvr.1991.52.03.402 · Cited by 86 · see citing works
Compressive axial strain distributions in cancellous bone specimens
Odgaard, A., Hvid, I., & Linde, F. (1989) · Journal of Biomechanics · doi:10.1016/0021-9290(89)90066-3 · Cited by 85 · see citing works
Fukuda, Y., Takai, S., Yoshino, N., MURASE, K., Tsutsumi, S., IKEUCHI, K., & Hirasawa, Y. (2000) · Clinical Biomechanics · doi:10.1016/s0268-0033(00)00013-9 · Cited by 84 · see citing works
“[11] measured the elastic modulus and ultimate strength of cylindrical specimens of tibial trabecular bone.”
BackgroundHuman Models for Crash and Impact Simulation
Haug, E., Choi, H.-Y., Robin, S., & Beaugonin, M. (2004) · Handbook of numerical analysis · doi:10.1016/s1570-8659(03)12004-2 · Cited by 82 · see citing works
Berend, M. E., Ritter, M. A., Hyldahl, H. C., Meding, J. B., & Redelman, R. (2008) · The Journal of Arthroplasty · doi:10.1016/j.arth.2008.05.020 · Cited by 81 · see citing works
Insulin-like Growth Factor I—Releasing Alginate-Tricalciumphosphate Composites for Bone Regeneration
Luginbuehl, V., Wenk, E., Koch, A., Gander, B. A., Merkle, H. P., & Meinel, L. (2005) · Pharmaceutical Research · doi:10.1007/s11095-005-4589-9 · Cited by 80 · see citing works
“However, in comparison to the compressive modulus of human trabecular bone (50 MPa) (28), the compressive modulus of the developed composites (up to 200 kPa) clearly demonstrated that the alginate "-TCP composites should find application in load-bearing bones together with external stabilization, e.g., by the use of a…”
BackgroundDomb, A. J. (1996) · Biomaterials · doi:10.1016/0142-9612(96)89657-8 · Cited by 79 · see citing works
Morphology-mechanical property relations in trabecular bone of the osteoarthritic proximal tibia
Zysset, P. K., Sonny, M., & Hayes, W. C. (1994) · The Journal of Arthroplasty · doi:10.1016/0883-5403(94)90070-1 · Cited by 79 · see citing works
Kelly, N., & McGarry, P. (2011) · Journal of the mechanical behavior of biomedical materials/Journal of mechanical behavior of biomedical materials · doi:10.1016/j.jmbbm.2011.11.013 · Cited by 75 · see citing works
“Material properties measured from uniaxial compressive testing of proximal tibial trabecular specimens taken from various locations can vary by up to two orders of magnitude (Goldstein et al., 1983).”
BackgroundFitz, W. (2009) · Journal of Bone and Joint Surgery · doi:10.2106/jbjs.h.01448 · Cited by 71 · see citing works
Bostrom, R. D., & Mikos, A. G. (1997) · Birkhäuser Boston eBooks · doi:10.1007/978-1-4612-4154-6_12 · Cited by 71 · see citing works
Compressive properties of trabecular bone in the distal femur
Burgers, T., Mason, J., Niebur, G. L., & Ploeg, H. (2008) · Journal of Biomechanics · doi:10.1016/j.jbiomech.2007.11.018 · Cited by 70 · see citing works
“Properties have previously been shown to vary within anatomic location (Goldstein et al., 1983).”
BackgroundBiophysics and dynamics of natural and engineered stem cell microenvironments
Keung, A. J., Healy, K. E., Kumar, S., & Schaffer, D. V. (2009) · WIREs Systems Biology and Medicine · doi:10.1002/wsbm.46 · Cited by 68 · see citing works
Computational simulation of internal bone remodeling
Pettermann, H. E., Reiter, T. J., & Rammerstorfer, F. G. (1997) · Archives of Computational Methods in Engineering · doi:10.1007/bf02737117 · Cited by 67 · see citing works
Cohen, B., Chorney, G. S., Phillips, D. P., Dick, H. M., Buckwalter, J. A., Ratcliffe, A., & Mow, V. C. (1992) · Journal of Orthopaedic Research® · doi:10.1002/jor.1100100214 · Cited by 66 · see citing works
Effect of posterior cut angle on tibial component loading
Bai, B., Baez, J., Testa, N., & Kummer, F. J. (2000) · The Journal of Arthroplasty · doi:10.1054/arth.2000.9058 · Cited by 66 · see citing works
Wang, M. O., Piard, C., Melchiorri, A. J., Dreher, M. L., & Fisher, J. P. (2015) · Tissue Engineering Part A · doi:10.1089/ten.tea.2014.0495 · Cited by 64 · see citing works
Viscoelastic behaviour and failure of bovine cancellous bone under constant strain rate
Guedes, R. M., Simöes, J. A., & Morais, J. J. L. (2004) · Journal of Biomechanics · doi:10.1016/j.jbiomech.2004.11.005 · Cited by 63 · see citing works
“[4] and Brown and Ferguson [5] respectively, compressive modulus can vary 100-fold from one location to another within a single proximal tibia, and strength can vary 5-fold within the proximal femur.”
BackgroundMishra, A. K., Chavan, H., & Kumar, A. (2021) · Materials Today Proceedings · doi:10.1016/j.matpr.2021.02.276 · Cited by 62 · see citing works
Szivek, J. A., THOMPSON, J. D., & Benjamin, J. B. (1995) · Journal of Applied Biomaterials · doi:10.1002/jab.770060207 · Cited by 62 · see citing works
Carrera, I., Gelber, P. E., Chary, G., Ballester, M. Á. G., Monllau, J. C., & Noailly, J. (2016) · International Orthopaedics · doi:10.1007/s00264-015-3106-y · Cited by 61 · see citing works
“With a maximum estimation of about 1.7 MPa maximum bone shear stresses, the Polyax system might ensure more reasonable safety margins.”
BackgroundMethodInfluentialSumner, D. R., Kienapfel, H., Jacobs, J. J., Urban, R. M., Turner, T. M., & Galante, J. O. (1995) · The Journal of Arthroplasty · doi:10.1016/s0883-5403(05)80122-6 · Cited by 60 · see citing works
Design and testing of external fixator bone screws
Evans, M., Spencer, M., Wang, Q., White, S. H., & Cunningham, J. L. (1990) · Journal of Biomedical Engineering · doi:10.1016/0141-5425(90)90054-q · Cited by 58 · see citing works
Bone Mineral Assay: Its Relation to the Mechanical Strength of Cancellous Bone
Hvid, I., Jensen, N. C., Bünger, C. E., Sølund, K., & Djurhuus, J. C. (1985) · Engineering in Medicine · doi:10.1243/emed_jour_1985_014_016_02 · Cited by 58 · see citing works
A large scale finite element study of a cementless osseointegrated tibial tray
Galloway, F., Kahnt, M., Ramm, H., Worsley, P. R., Stefan Zachow, A., Nair, P. B., & Taylor, M. (2013) · Journal of Biomechanics · doi:10.1016/j.jbiomech.2013.04.021 · Cited by 57 · see citing works
A Biomechanical Evaluation of Three Forms of Internal Fixation Used in Ankle Arthrodesis
Dohm, M. P., Benjamin, J. B., Harrison, J., & Szivek, J. A. (1994) · Foot & Ankle International · doi:10.1177/107110079401500603 · Cited by 57 · see citing works
Multiaxial Structure-Property Relations in Trabecular Bone
Snyder, B. D., & Hayes, W. C. (1990) · Springer eBooks · doi:10.1007/978-1-4612-3450-0_2 · Cited by 57 · see citing works
Changes in mean trabecular orientation in the medial condyle of the proximal tibia in osteoarthritis
Kamibayashi, L., WYSS, U. P., Cooke, T. D. V., & Zee, B. C.-Y. (1995) · Calcified Tissue International · doi:10.1007/bf00299000 · Cited by 56 · see citing works
Ryan, T. M., & van Rietbergen, B. (2004) · American Journal of Physical Anthropology · doi:10.1002/ajpa.10414 · Cited by 56 · see citing works
“The actual value for the Young’s modulus of trabecular bone is quite variable depending on anatomic location (Goldstein et al., 1983; Goldstein, 1987), but it is certainly different from that of cortical bone (Choi et al., 1990).”
BackgroundPosterior Tibial Slope: Effect on, and Interaction with, Knee Kinematics
Ahmad, R., Patel, A. D., Mandalia, V., & Toms, A. H. (2016) · JBJS Reviews · doi:10.2106/jbjs.rvw.o.00057 · Cited by 56 · see citing works
Jin, J., Wang, D., Hu, Q., Ruan, C., Yang, Y., Li, D., Wang, G., Zhu, X., Hu, Y., & Lei, P. (2024) · Biomaterials · doi:10.1016/j.biomaterials.2024.122756 · Cited by 55 · see citing works
Schwiedrzik, J. J., Gross, T., Bina, M., Pretterklieber, M. L., Zysset, P. K., & Pahr, D. H. (2015) · International Journal for Numerical Methods in Biomedical Engineering · doi:10.1002/cnm.2739 · Cited by 55 · see citing works
Wernecke, G. C., Harris, I. A., Houang, M. T. W., Seeto, B. G., Chen, D. B., & MacDessi, S. J. (2012) · Journal of orthopaedic surgery · doi:10.1177/230949901202000201 · Cited by 55 · see citing works
Peters, A. E., Akhtar, R., Comerford, E. J., & Bates, K. T. (2018) · PeerJ · doi:10.7717/peerj.4298 · Cited by 53 · see citing works
“Goldstein et al. (1983) utilised uniaxial compression testing to determine the elastic modulus of trabecular bone from the tibial plateau from five cadavers (50–70 years old) across varying depths of the joint.”
BackgroundMethodInfluentialPetersen, M. M., Jensen, N. C., Gehrchen, M., Nielsen, P. K., & Nielsen, P. T. (1996) · Calcified Tissue International · doi:10.1007/s002239900131 · Cited by 53 · see citing works
Perillo‐Marcone, A., Alonso-Vázquez, A., & Taylor, M. (2003) · Computer Methods in Biomechanics & Biomedical Engineering · doi:10.1080/1025584031000064470 · Cited by 51 · see citing works
“The predicted moduli for this tibia are of a similar order of magnitude to those reported in experimental studies [15].”
ResultLemaire, P., Pioletti, D. P., Meyer, F.-M., Meuli, R. A., Dörfl, J., & Leyvraz, P. (1997) · Knee Surgery Sports Traumatology Arthroscopy · doi:10.1007/s001670050059 · Cited by 50 · see citing works
Santis, R. D., Catauro, M., Silvio, L. D., Manto, L., Raucci, M. G., Ambrosio, L., & Nicolais, L. (2007) · Biomaterials · doi:10.1016/j.biomaterials.2007.02.014 · Cited by 49 · see citing works
Tho, M. H. B., Darmana, R., Pastor, P., Barrau, J. J., Laroze, S., & Morucci, J. P. (1991) · Journal of Biomechanics · doi:10.1016/0021-9290(91)90026-j · Cited by 49 · see citing works
Molina, E. R., Chim, L. K., Salazar, M. C., Mehta, S. M., Menegaz, B. A., Lamhamedi-Cherradi, S.-E., Satish, T., Mohiuddin, S., McCall, D. C., Zaske, A. M., et al. (2019) · Acta Biomaterialia · doi:10.1016/j.actbio.2019.09.029 · Cited by 47 · see citing works
A parametric analysis of fixation post shape in tibial knee prostheses
Au, A. G., Liggins, A. B., Raso, V. J., & Amirfazli, A. (2004) · Medical Engineering & Physics · doi:10.1016/j.medengphy.2004.09.010 · Cited by 47 · see citing works
Cheal, E. J., Hayes, W. C., Lee, C. H., Snyder, B. D., & Miller, J. (1985) · Journal of Orthopaedic Research® · doi:10.1002/jor.1100030405 · Cited by 47 · see citing works
Rapid prototyping technology for bone regeneration
Kundu, J., Pati, F., Shim, J., & Cho, D.-W. (2014) · Elsevier eBooks · doi:10.1533/9780857097217.254 · Cited by 45 · see citing works
- Authors
- Goldstein, S. A., Wilson, D. L., Sonstegard, D. A., & Matthews, L. S.
- Affiliations
- University of Michigan (US)
- ORCID
- Goldstein, Steven A.
- Venue
- Journal of Biomechanics
- Publisher
- Elsevier BV
- Published
- 1983-01
- Volume
- 16
- Issue
- 12
- Pages
- 965-969
- ISSN
- 0021-9290 (ISSN-L)
- OpenAlex
- W2038929699
- Cited by
- 292
- References
- 29
- Citations by year
- 2026: 7 · 2025: 3 · 2024: 10 · 2023: 6 · 2022: 8 · 2021: 9 · 2020: 10 · 2019: 5 · 2018: 8 · 2017: 6 · 2016: 10 · 2015: 8 · 2014: 10 · 2013: 10 · 2012: 6
- FWCI
- 13.35
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Journal of Biomechanics (publishedVersion)
- PubMed (publishedVersion)
- Deep Blue (University of Michigan) (submittedVersion)
- Topics
- Health Sciences › Medicine › Orthopedics and Sports Medicine › Bone health and osteoporosis research
- Health Sciences › Medicine › Epidemiology › Bone fractures and treatments
- Health Sciences › Medicine › Surgery › Orthopaedic implants and arthroplasty
- Keywords
- trabecular bone, tibia, elastic modulus, ultimate strength, uniaxial compression, bone mechanical properties, Wolff's law, cortical bone, bone plug, prosthesis design
- MeSH terms
- Aged, Biomechanical Phenomena, Cadaver, Female, Humans, Male, Middle Aged, Stress, Mechanical, Tibia
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review