Elastic moduli, yield stress, and ultimate stress of cancellous bone in the canine proximal femur

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Vahey, James W.¹; Lewis, Jack L.¹; Vanderby, Jr, Ray²

Elastic moduli, yield stress, and ultimate stress of cancellous bone in the canine proximal femur

J Biomech. 1987;20(1):29-33

Affiliations

¹Rehabilitation Engineering Program, Northwestern University, Chicago, IL 60611, U.S.A.

²Biomechanics Laboratory, Division of Orthopedic Surgery, University of Wisconsin, Madison, WI 53792, U.S.A.
Abstract

Elastic moduli, yield stress and ultimate compressive stress were determined for cancellous bone from the femoral head and neck regions of the canine femur. Unconfined compression tests were performed on 5 mm cubic samples which were cut from two femurs. Elastic moduli were measured in three orthogonal directions, and the yield stress and ultimate stress were measured along the proximal-distal axis.

The results from this investigation support previous assumptions that the mechanical behavior of canine cancellous bone is qualitatively similar to human cancellous bone. The canine cancellous bone was observed to be anisotropic in elastic modulus. For two thirds of the cubic specimens tested, the elastic modulus was largest in the load-bearing, proximal-distal direction. A linear relationship between yield stress and elastic modulus was observed for canine bone, as is typical of human bone. A similar linear relationship between ultimate stress and elastic modulus was observed. Thus, for canine bone as well as for human bone, failure appears to be governed by a strain level which is position independent. The yield strain of 0.0259 and ultimate strain of 0.0288 for canine bone were both less than the yield strain of 0.0395 reported for human bone.
Links

DOI: 10.1016/0021-9290(87)90264-8

PubMed: 3558426

WoS: A1987G289500004

Cited Works (5)

Year	Entry
1974	Schoenfeld CM, Lautenschlager EP, Meyer PR. Mechanical properties of human cancellous bone in the femoral head. Med Biol Eng. 1974;12(3):313-317.
1977	Carter DR, Hayes WC. The compressive behavior of bone as a two-phase porous structure. J Bone Joint Surg. 1977;59A(7):954-962.
1983	Martens M, Van Audekercke R, Delport P, De Meester P, Mulier JC. The mechanical characteristics of cancellous bone at the upper femoral region. J Biomech. 1983;16(12):971-983.
1980	Brown TD, Ferguson AB Jr. Mechanical property distributions in the cancellous bone of the human proximal femur. Acta Orthop Scand. 1980;51(1):429-437.
1975	Townsend PR, Raux P, Rose RM, Miegel RE, Radin EL. The distribution and anisotropy of the stiffness of cancellous bone in the human patella. J Biomech. 1975;8(6):363-367.

Cited By (33)

Year	Entry
1994	Linde F. Elastic and viscoelastic properties of trabecular bone by a compression testing approach. Dan Med Bull. April 1994;41(2):119-138.
1998	Martin RB, Burr DB, Sharkey NA. Skeletal Tissue Mechanics. New York, NY: Springer-Verlag; 1998.
2019	Wood Z, Lynn L, Nguyen JT, Black MA, Patel M, Barak MM. Are we crying wolff? 3D printed replicas of trabecular bone structure demonstrate higher stiffness and strength during off-axis loading. Bone. October 2019;127:635-645.
1988	Linde F, Gøthgen CB, Hvid I, Pongsoipetch B, Bentzen S. Mechanical properties of trabecular bone by a non‐destructive compression testing approach. Eng Med. 1988;17(1):23-29.
1989	Kuhn JL, Goldstein SA, Ciarelli MJ, Matthews LS. The limitations of canine trabecular bone as a model for human: a biomechanical study. J Biomech. 1989;22(2):95-107.
1989	Odgaard A, Hvid I, Linde F. Compressive axial strain distributions in cancellous bone specimens. J Biomech. 1989;22(8-9):829-835.
1990	Linde F, Pongsoipetch B, Frich LH, Hvid I. Three-axial strain controlled testing applied to bone specimens from the proximal tibial epiphysis. J Biomech. 1990;23(11):1167-1172.
1992	Turner CH. On Wolff's law of trabecular architecture. J Biomech. January 1992;25(1):1-9.
1994	Keaveny TM, Wachtel EF, Ford CM, Hayes WC. Differences between the tensile and compressive strengths of bovine tibial trabecular bone depend on modulus. J Biomech. 1994;27(9):1137-1146.
1994	Keller TS. Predicting the compressive mechanical behavior of bone. J Biomech. September 1994;27(9):1159-1168.
1997	Turner CH, Annet V, Pidaparti RMV. A uniform strain criterion for trabecular bone adaptation: do continuum-level strain gradients drive adaptation? J Biomech. June 1997;30(6):555-563.
2009	Bevill G, Farhamand F, Keaveny TM. Heterogeneity of yield strain in low-density versus high-density human trabecular bone. J Biomech. September 18, 2009;42(13):2165-2170.
2020	Blondel M, Abidine Y, Assemat P, Palierne S, Swider P. Identification of effective elastic modulus using modal analysis: application to canine cancellous bone. J Biomech. September 18, 2020;110:109972.
1989	Turner CH. Yield behavior of bovine cancellous bone [published correction appears in J Biomech Eng. 1989;111(4):335]. J Biomech Eng. August 1989;111(3):256-260.
1991	Lotz JC, Cheal EJ, Hayes WC. Fracture prediction for the proximal femur using finite element models, I: linear analysis. J Biomech Eng. 1991;113(4):353-360.
1999	Keaveny TM, Wachtel EF, Zadesky SP, Arramon YP. Application of the Tsai–Wu quadratic multiaxial failure criterion to bovine trabecular bone. J Biomech Eng. February 1999;121(1):99-107.
2002	Niebur GL, Feldstein MJ, Keaveny TM. Biaxial failure behavior of bovine tibial trabecular bone. J Biomech Eng. December 2002;124(6):699-705.
1996	Ford CM, Keaveny TM, Hayes WC. The effect of impact direction on the structural capacity of the proximal femur during falls. J Bone Miner Res. March 1996;11(3):377-383.
2020	Xie S, Wallace RJ, Pankaj P. Time-dependent behaviour of demineralised trabecular bone: experimental investigation and development of a constitutive model. J Mech Behav Biomed Mater. September 2020;109:103751.
1990	Keller TS, Mao Z, Spengler DM. Young's modulus, bending strength, and tissue physical properties of human compact bone. J Orthop Res. 1990;8(4):592-603.
1999	Chang WCW, Christensen TM, Pinilla TP, Keaveny TM. Uniaxial yield strains for bovine trabecular bone are isotropic and asymmetric. J Orthop Res. July 1999;17(4):582-585.
1997	Mitton D, Rumelhart C, Hans D, Meunier PJ. The effects of density and test conditions on measured compression and shear strength of cancellous bone from the lumbar vertebrae of ewes. Med Eng Phys. 1997;19(5):464-474.
2019	Yeh P-S, Lee Y-W, Chang W-H, Wang W, Wang J-L, Liu S-H, Chen R-M. Biomechanical and tomographic differences in the microarchitecture and strength of trabecular and cortical bone in the early stage of male osteoporosis. PLoS One. 2019;14(8):e0219718.
2011	Donaldson FE. On Incorporating Bone Microstructure in Macro-Finite-Element Models [PhD thesis]. Edinburgh, UK: University of Edinburgh; March 2011.
1988	Lotz JC. Hip Fracture Risk Predictions by X-Ray Computed Tomography [PhD thesis]. Cambridge, MA: Massachusetts Institute of Technology; August 1988.
1996	Ford CM. Failure of the Human Proximal Femur: Material and Structural Perspectives [PhD thesis]. Cambridge, MA: Massachusetts Institute of Technology; September 1996.
2009	Lievers WB. Effects of Geometric and Material Property Changes on the Apparent Elastic Properties of Cancellous Bone [PhD thesis]. Queen's University; April 2009.
2013	Morton JJ. An Investigation of Rat Vertebra Failure Behaviour Under Uniaxial Compression Through Time-Lapsed Micro-CT Imaging [Master's thesis]. Queen's University; 2013.
1994	Fritton SP. Computational Simulation of Trabecular Bone Adaptation [PhD thesis]. Tulane University; January 1994.
2002	Morgan EF-i. The Dependence on Anatomic Site of Trabecular Bone Structure-Function Relationships [PhD thesis]. Berkeley, CA: Berkeley, University of California; 2002.
2008	Bevill GR. Micromechanical Modeling of Failure in Trabecular Bone [PhD thesis]. Berkeley, CA: Berkeley, University of California; 2008.
2003	Reed KL. The Emu as a Model for Necrotic Femoral Head Collapse [PhD thesis]. University of Iowa; August 2003.
1991	Choi K. The Micro Mechanical Properties of Bone Tissue [PhD thesis]. University of Michigan; 1991.