Hardness, an indicator of the mechanical competence of cancellous bone

Hodgskinson, R.<sup>1</sup>; Currey, J. D.<sup>1</sup>; Evans, G. P.<sup>2</sup>

Affiliations

¹Department of Biology, University of York, York, London, England

²Department of Materials, Queen Mary College, London, England

Abstract and keywords

Hardness and calcium content in compact bone are strongly related. Variation in Young's modulus is produced mainly by variations in mineralisation. Therefore, there should be a relationship between hardness and Young's modulus. We demonstrate this. The calcium content of cancellous bone and adjacent compact bone in several species shows little difference, the cancellous bone having ∼10% less calcium. The hardness of cancellous bone in Bos is ∼12% less than that of adjacent compact bone, and the calcium is ∼2% less. These lines of evidence make it unlikely that the Young modulus of cancellous bone material is much different from that of compact bone. Similar evidence suggests that the yield stress of cancellous bone is similar to that of adjacent compact bone.

Keywords: Cancellous bone; Hardness; Mineralisation; Yield stress; Young's modulus

Links

DOI: 10.1002/jor.1100070518

PubMed: 2760749

WoS: A1989AM40600017

History

Online: 2005-02-18

Cited Works (11)

Year	Entry
1990	Evans GP, Behiri JC, Currey JD, Bonfield W. Microhardness and Young's modulus in cortical bone exhibiting a wide range of mineral volume fractions, and in a bone analogue. J Mater Sci Mater Med. June 1990;1(1):38-43.
1988	Schaffler MB, Burr DB. Stiffness of compact bone: effects of porosity and density. J Biomech. 1988;21(1):13-16.
1951	Evans FG, Lebow M. Regional differences in some of the physical properties of the human femur. J Appl Physiol. 1951;3(9):563-572.
1958	Amprino R. Investigations on some physical properties of bone tissue. Acta Anat. 1958;34(3):161-186.
1976	Carter DR, Hayes WC. Bone compressive strength: the influence of density and strain rate. Science. September 10, 1976;194(4270):1174-1176.
1985	Gibson LJ. The mechanical behaviour of cancellous bone. J Biomech. 1985;18(5):317-328.
1973	Evans FG. Mechanical Properties of Bone. Springfield, IL: Charles C. Thomas; 1973.
1966	Weaver JK. The microscopic hardness of bone. J Bone Joint Surg. March 1966;48A(2):273-288.
1988	Currey JD. The effect of porosity and mineral content on the Young's modulus of elasticity of compact bone. J Biomech. 1988;21(2):131-139.
1988	Rice JC, Cowin SC, Bowman JA. On the dependence of the elasticity and strength of cancellous bone on apparent density. J Biomech. 1988;21(2):155-168.
1987	Goldstein SA. The mechanical properties of trabecular bone: dependence on anatomic location and function. J Biomech. 1987;20(11-12):1055-1061.

Cited By (50)

Year	Entry
2002	Currey JD. Bones: Structure and Mechanics. Princeton, NJ: Princeton University Press; 2002.
2007	McDonnell P, McHugh PE, O’Mahoney D. Vertebral osteoporosis and trabecular bone quality. Ann Biomed Eng. February 2007;35(2):170-189.
1997	Rho J-Y, Tsui TY, Pharr GM. Elastic properties of human cortical and trabecular lamellar bone measured by nanoindentation. Biomaterials. 1997;18(20):1325-1330.
1996	Ziv V, Wagner HD, Weiner S. Microstructure-microhardness relations in parallel-fibered and lamellar bone. Bone. May 1996;18(5):417-428.
2000	Hoffler CE, Moore KE, Kozloff K, Zysset PK, Brown MB, Goldstein SA. Heterogeneity of bone lamellar-level elastic moduli. Bone. June 2000;26(6):603-609.
2002	Hengsberger S, Kulik A, Zysset P. Nanoindentation discriminates the elastic properties of individual human bone lamellae under dry and physiological conditions. Bone. 2002;30(1):178-184.
2006	McNamara LM, Ederveen AGH, Lyons CG, Price C, Schaffler MB, Weinans H, Prendergast PJ. Strength of cancellous bone trabecular tissue from normal, ovariectomized and drug-treated rats over the course of ageing. Bone. August 2006;39(2):392-400.
2022	Farlay D, Falgayrac G, Ponçon C, Rizzo S, Cortet B, Chapurlat R, Penel G, Badoud I, Ammann P, Boivin G. Material and nanomechanical properties of bone structural units of cortical and trabecular iliac bone tissues from untreated postmenopausal osteoporotic women. Bone Rep. December 2022;17:101623.
2000	Zioupos P, Currey JD, Casinos A. Exploring the effects of hypermineralisation in bone tissue by using an extreme biological example. Connect Tissue Res. 2000;41(3):229-248.
1997	Guo XE, Goldstein SA. Is trabecular bone tissue different from cortical bone tissue? Forma. 1997;12(3-4):185-196.
2012	Skedros JG, Knight AN, Farnsworth RW, Bloebaum RD. Do regional modifications in tissue mineral content and microscopic mineralization heterogeneity adapt trabecular bone tracts for habitual bending? analysis in the context of trabecular architecture of deer calcanei. J Anat. March 2012;220(3):242-255.
1990	Choi K, Kuhn JL, Ciarelli MJ, Goldstein SA. The elastic moduli of human subchondral, trabecular, and cortical bone tissue and the size-dependency of cortical bone modulus. J Biomech. 1990;23(11):1103-1113.
1995	Broz JJ, Simske SJ, Greenberg AR. Material and compositional properties of selectively demineralized cortical bone. J Biomech. November 1995;28(11):1357-1368.
1999	Zysset PK, Guo XE, Hoffler CE, Moore KE, Goldstein SA. Elastic modulus and hardness of cortical and trabecular bone lamellae measured by nanoindentation in the human femur. J Biomech. October 1999;32(10):1005-1012.
2004	Silva MJ, Brodt MD, Fan Z, Rho J-Y. Nanoindentation and whole-bone bending estimates of material properties in bones from the senescence accelerated mouse SAMP6. J Biomech. November 2004;37(11):1639-1646.
2006	McNamara LM, Van der Linden JC, Weinans H, Prendergast PJ. Stress-concentrating effect of resorption lacunae in trabecular bone. J Biomech. 2006;39(4):734-741.
2007	Öhman C, Baleani M, Perilli E, Dall’Ara E, Tassani S, Baruffaldi F, Viceconti M. Mechanical testing of cancellous bone from the femoral head: experimental errors due to off-axis measurements. J Biomech. 2007;40(11):2426-2433.
2008	Zhang J, Niebur GL, Ovaert TC. Mechanical property determination of bone through nano- and micro-indentation testing and finite element simulation. J Biomech. 2008;41(2):267-275.
2008	Harrison NM, McDonnell PF, O’Mahoney DC, Kennedy OD, O’Brien FJ, McHugh PE. Heterogeneous linear elastic trabecular bone modelling using micro-CT attenuation data and experimentally measured heterogeneous tissue properties. J Biomech. August 7, 2008;41(11):2589-2596.
2009	Brennan O, Kennedy OD, Lee TC, Rackard SM, O'Brien FJ. Biomechanical properties across trabeculae from the proximal femur of normal and ovariectomised sheep. J Biomech. March 11, 2009;42(4):498-503.
2011	Renders GAP, Mulder L, van Ruijven LJ, Langenbach GEJ, van Eijden TMGJ. Mineral heterogeneity affects predictions of intratrabecular stress and strain. J Biomech. February 3, 2011;44(3):402-407.
2011	Dall'Ara E, Öhman C, Baleani M, Viceconti M. Reduced tissue hardness of trabecular bone is associated with severe osteoarthritis. J Biomech. May 17, 2011;44(8):1593-1598.
1993	Keaveny TM, Hayes WC. A 20-year perspective on the mechanical properties of trabecular bone. J Biomech Eng. November 1993;115(4B):534-542.
2005	Hoffler CE, Guo XE, Zysset PK, Goldstein SA. An application of nanoindentation technique to measure bone tissue lamellae properties. J Biomech Eng. January 2005;127(7):1046-1053.
2015	Oftadeh R, Perez-Viloria M, Villa-Camacho JC, Vaziri A, Nazarian A. Biomechanics and mechanobiology of trabecular bone: a review. J Biomech Eng. January 2015;137(1):010802.
1998	Akiva U, Wagner HD, Weiner S. Modelling the three-dimensional elastic constants of parallel-fibred and lamellar bone. J Mater Sci. March 15, 1998;33(6):1497-1509.
1990	Currey JD, Brear K. Hardness, Young's modulus and yield stress in mammalian mineralized tissues. J Mater Sci Mater Med. June 1990;1(1):14-20.
1992	Hodgskinson R, Currey JD. Young's modulus, density and material properties in cancellous bone over a large density range. J Mater Sci Mater Med. September 1992;3(5):377-381.
2011	Chen P-Y, McKittrick J. Compressive mechanical properties of demineralized and deproteinized cancellous bone. J Mech Behav Biomed Mater. October 2011;4(7):961-973.
2020	Jin Y, Zhang T, Lui YF, Sze KY, Lu WW. The measured mechanical properties of osteoporotic trabecular bone decline with the increment of deformation volume during micro-indentation. J Mech Behav Biomed Mater. March 2020;103:103546.
1992	Blackburn J, Hodgskinson R, Currey JD, Mason JE. Mechanical properties of microcallus in human cancellous bone. J Orthop Res. March 1992;10(2):237-246.
2000	Hoffler CE, Moore KE, Kozloff K, Zysset PK, Goldstein SA. Age, gender, and bone lamellae elastic moduli. J Orthop Res. May 2000;18(3):432-437.
1998	Rho J-Y, Kuhn-Spearing L, Zioupos P. Mechanical properties and the hierarchical structure of bone. Med Eng Phys. 1998;20(2):92-102.
2008	Gupta HS, Zioupos P. Fracture of bone tissue: the ‘hows’ and the ‘whys’. Med Eng Phys. December 2008;30(10):1209-1226.
2009	Zysset PK. Indentation of bone tissue: a short review. Osteoporos Int. June 2009;20(6):1049-1055.
1998	Currey JD. Mechanical properties of vertebrate hard tissues. Proc Inst Mech Eng Part H-J Eng Med. 1998;216(6):399-411.
2010	Dumont ER. Bone density and the lightweight skeletons of birds. Proc R Soc B. 2010;277(1691):2193-2198.
1999	Ayers RA. The Interaction Between Bone and Porous Biomaterials in Rabbit and Human Craniomaxillofacial Bone [PhD thesis]. University of Colorado; 1999.
2005	Cook RB. Non-Invasively Assessed Skeletal Bone Status and Its Relationship to the Biomechanical Properties and Condition of Cancellous Bone [PhD thesis]. Cranfield, UK: Cranfield University; December 18, 2005.
2002	Hengsberger S. Mechanical Characterization of Bone from the Tissue Down to the Lamellar Level by Means of Nanoindentation [PhD thesis]. Lausanne, Switzerland: École Polytechnique Fédérale de Lausanne; 2002.
2007	Akhtar R. Micromechanical Behaviour of Bone [PhD thesis]. University of Manchester; 2007.
2014	Jameson JR. Characterization of Bone Material Properties and Microstructure in Osteogenesis Imperfecta/brittle Bone Disease [PhD thesis]. Marquette University; December 2014.
2015	Oftadeh R. Hierarchical Analysis and Multiscale Modelling of Cellular Structures: From Meta Materials to Bone Structure [PhD thesis]. Northeastern University; December 2015.
2007	Zhang J. Mechanical Property Determination of Bone Through Nano- and Microindentation Testing and Finite Element Simulation [PhD thesis]. University of Notre Dame; July 2007.
2005	Buie HR. Use of Finite Element Method Modelling and Rapid Prototyping to Study the Effect of Trabecular Bone Architecture on Apparent Mechanical Properties [Master's thesis]. Queen's University; November 2005.
2011	Yao H. Microstructure-Based Characterization and Modeling of Trabecular Bone Deformation and Failure [PhD thesis]. Southern Methodist University; August 3, 2011.
2012	Acerbo AS. Local Chemical and Nanostructural Properties of Rat Cortical Bone Are Altered by Osteoporosis and Pharmaceutical Treatments [PhD thesis]. Stony Brook, NY: Stony Brook University; August 2012.
2004	McNamara LM. Biomechanical Origins of Osteoporosis [PhD thesis]. Trinity College Dublin; March 2004.
2012	Al-Daghreer SM. Analysis of the Biological Effects of Therapeutic Ultrasound on Orthodontically Induced Tooth Root Resorption Repair [PhD thesis]. Edmonton, AB: University of Alberta; 2012.
1991	Choi K. The Micro Mechanical Properties of Bone Tissue [PhD thesis]. University of Michigan; 1991.