Finite element calculated uniaxial apparent stiffness is a consistent predictor of uniaxial apparent strength in human vertebral cancellous bone tested with different boundary conditions

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Yeni, Yener N.¹; Fyhrie, David P.¹

Finite element calculated uniaxial apparent stiffness is a consistent predictor of uniaxial apparent strength in human vertebral cancellous bone tested with different boundary conditions

J Biomech. December 2001;34(12):1649-1654

©2001 Elsevier Science Ltd. All rights reserved.

Affiliations

¹Breech Research Laboratory, Bone and Joint Center, Henry Ford Hospital, 2799 West Grand Boulevard, Detroit, MI48202, USA
Abstract and keywords

Strong correspondence between the uniaxial apparent strength and stiffness of cancellous bone allows the use of stiffness as a predictor of bone strength. Measured values of mechanical properties in cancellous bone can be different between experiments due to different experimental conditions. In the current study, bone volume fraction, experimentally determined and finite element (FE) predicted stiffness were examined as predictors of cancellous bone ultimate strength in two different groups each of which was tested using a different end constraint. It is demonstrated that, although always significant, the relationships of strength with bone volume fraction and experimentally determined stiffness are different between test groups. Apparent stiffness, estimated by FE modeling, predicts the ultimate strength of human cancellous bone consistently for all examined experimental protocols.

Keywords: Cancellous bone; Strength; Stiffness; Mechanical testing; Finite element analysis
Links

DOI: 10.1016/S0021-9290(01)00155-5

PubMed: 11716868

WoS: 000172730500016
History

Accepted: 2001-07-25

Cited Works (22)

Year	Entry
1997	Silva MJ, Gibson LJ. Modeling the mechanical behavior of vertebral trabecular bone: effects of age-related changes in microstructure. Bone. 1997;21(2):191-199.
1993	Keaveny TM, Borchers RE, Gibson LJ, Hayes WC. Theoretical analysis of the experimental artifact in trabecular bone compressive modulus [published correction appears in J Biomech. 1993;26(9):1143]. J Biomech. April–May 1993;26(4-5):599-607.
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.
1997	Keaveny TM, Pinilla TP, Crawford RP, Kopperdahl DL, Lou A. Systematic and random errors in compression testing of trabecular bone [published correction appears in J Orthop Res. 1995;17(1):151]. J Orthop Res. 1997;15(1):101-110.
1994	Goulet RW, Goldstein SA, Ciarelli MJ, Kuhn JL, Brown MB, Feldkamp LA. The relationship between the structural and orthogonal compressive properties of trabecular bone. J Biomech. April 1994;27(4):375-389.
1998	Hou FJ, Lang SM, Hoshaw SJ, Reimann DA, Fyhrie DP. Human vertebral body apparent and hard tissue stiffness. J Biomech. November 1998;31(11):1009-1015.
1998	Ulrich D, van Rietbergen B, Weinans H, Rüegsegger P. Finite element analysis of trabecular bone structure: a comparison of image-based meshing techniques. J Biomech. December 1998;31(12):1187-1192.
1999	Jacobs CR, Davis BR, Rieger CJ, Francis JJ, Saad M, Fyhrie DP. The impact of boundary conditions and mesh size on the accuracy of cancellous bone tissue modulus determination using large-scale finite-element modeling. J Biomech. November 1999;32(11):1159-1164.
1976	Carter DR, Hayes WC. Bone compressive strength: the influence of density and strain rate. Science. September 10, 1976;194(4270):1174-1176.
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	Zhu M, Keller TS, Spengler DM. Effects of specimen load-bearing and free surface layers on the compressive mechanical properties of cellular materials. J Biomech. 1994;27(1):57-66.
2000	Fyhrie DP, Hoshaw SJ, Hamid MS, Hou FJ. Shear stress distribution in the trabeculae of human vertebral bone. Ann Biomed Eng. October 2000;28(10):1194-1199.
1989	Feldkamp LA, Goldstein SA, Parfitt MA, Jesion G, Kleerekoper M. The direct examination of three‐dimensional bone architecture in vitro by computed tomography. J Bone Miner Res. 1989;4(1):3-11.
1989	Linde F, Hvid I. The effect of constraint on the mechanical behaviour of trabecular bone specimens. J Biomech. 1989;22(5):485-490.
1998	Ladd AJC, Kinney JH, Haupt DL, Goldstein SA. Finite‐element modeling of trabecular bone: comparison with mechanical testing and determination of tissue modulus. J Orthop Res. September 1998;16(5):622-628.
1999	Niebur GL, Yuen JC, Hsia AC, Keaveny TM. Convergence behavior of high-resolution finite element models of trabecular bone. J Biomech Eng. December 1999;121(6):629-635.
1995	van Rietbergen B, Weinans H, Huiskes R, Odgaard A. A new method to determine trabecular bone elastic properties and loading using micromechanical finite-element models. J Biomech. January 1995;28(1):69-81.
1999	Cody DD, Gross GJ, Hou FJ, Spencer HJ, Goldstein SA, Fyhrie DP. Femoral strength is better predicted by finite element models than QCT and DXA. J Biomech. October 1999;32(10):1013-1020.
1999	Van Rietbergen B, Müller R, Ulrich D, Rüegsegger P, Huiskes R. Tissue stresses and strain in trabeculae of a canine proximal femur can be quantified from computer reconstructions. J Biomech. February 1999;32(2):165-173.
2000	Fyhrie DP, Vashishth D. Bone stiffness predicts strength similarly for human vertebral cancellous bone in compression and for cortical bone in tension. Bone. February 2000;26(2):169-173.
1992	Linde F, Hvid I, Madsen F. The effect of specimen geometry on the mechanical behaviour of trabecular bone specimens. J Biomech. 1992;25(4):359-368.
1988	Currey JD. Strain rate and mineral content in fracture models of bone. J Orthop Res. January 1988;6(1):32-38.

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Year	Entry
2019	Faieghi M, Knowles NK, Tutunea-Fatan OR, Ferreira LM. Fast generation of cartesian meshes from micro-computed tomography data. Comput-Aided Des Appl. 2019;16(1):161-171.
2003	Yeni YN, Hou FJ, Ciarelli T, Vashishth D, Fyhrie DP. Trabecular shear stresses predict in vivo linear microcrack density but not diffuse damage in human vertebral cancellous bone. Ann Biomed Eng. June 2003;31(6):726-732.
2007	McDonnell P, McHugh PE, O’Mahoney D. Vertebral osteoporosis and trabecular bone quality. Ann Biomed Eng. February 2007;35(2):170-189.
2007	Kim D-G, Hunt CA, Zauel R, Fyhrie DP, Yeni YN. The effect of regional variations of the trabecular bone properties on the compressive strength of human vertebral bodies. Ann Biomed Eng. November 2007;35(11):1907-1913.
2006	Rezwan K, Chen QZ, Blaker JJ, Boccaccini AR. Biodegradable and bioactive porous polymer/inorganic composite scaffolds for bone tissue engineering. Biomaterials. June 2006;27(18):3413-3431.
2004	Yeni YN, Dong XN, Fyhrie DP, Les CM. The dependence between the strength and stiffness of cancellous and cortical bone tissue for tension and compression: extension of a unifying principle. Bio-med Mater Eng. 2004;14(3):303-310.
2003	Stölken JS, Kinney JH. On the importance of geometric nonlinearity in finite-element simulations of trabecular bone failure. Bone. October 2003;33(4):494-504.
2004	Kim D-G, Christopherson GT, Dong XN, Fyhrie DP, Yeni YN. The effect of microcomputed tomography scanning and reconstruction voxel size on the accuracy of stereological measurements in human cancellous bone. Bone. December 2004;35(6):1375-1382.
2008	Yeni YN, Zelman EA, Divine GW, Kim D-G, Fyhrie DP. Trabecular shear stress amplification and variability in human vertebral cancellous bone: relationship with age, gender, spine level and trabecular architecture. Bone. March 2008;42(3):591-596.
2023	Yadav RN, Oravec DJ, Morrison CK, Bevins NB, Rao SD, Yeni YN. Digital wrist tomosynthesis (DWT)-based finite element analysis of ultra-distal radius differentiates patients with and without a history of osteoporotic fracture. Bone. December 2023;177:116901.
2010	Fang G, Ji B, Liu XS, Guo XE. Quantification of trabecular bone microdamage using the virtual internal bond model and the individual trabeculae segmentation technique. Comput Methods Biomech Biomed Eng. October 2010;13(5):605-15.
2003	Yeni YN, Fyhrie DP. A rate-dependent microcrack-bridging model that can explain the strain rate dependency of cortical bone apparent yield strength. J Biomech. September 2003;36(9):1343-1353.
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.
2011	Kim D-G, Shertok D, Tee BC, Yeni YN. Variability of tissue mineral density can determine physiological creep of human vertebral cancellous bone. J Biomech. June 3, 2011;44(9):1660-1665.
2003	Crawford RP, Rosenberg WS, Keaveny TM. Quantitative computed tomography-based finite element models of the human lumbar vertebral body: effect of element size on stiffness, damage, and fracture strength predictions. J Biomech Eng. August 2003;125(4):434-438.
2005	Yeni YN, Christopherson GT, Dong XN, Kim D-G, Fyhrie DP. Effect of microcomputed tomography voxel size on the finite element model accuracy for human cancellous bone. J Biomech Eng. February 2005;127(1):1-8.
2006	Zauel R, Yeni YN, Bay BK, Dong XN, Fyhrie DP. Comparison of the linear finite element prediction of deformation and strain of human cancellous bone to 3D digital volume correlation measurements. J Biomech Eng. February 2006;128(1):1-6.
2007	Yosibash Z, Padan R, Joskowicz L, Milgrom C. A CT-based high-order finite element analysis of the human proximal femur compared to in-vitro experiments. J Biomech Eng. June 2007;129(3):297-309.
2017	Chen Y, Dall’Ara E, Sales E, Manda K, Wallace R, Pankaj P, Viceconti M. Micro-CT based finite element models of cancellous bone predict accurately displacement once the boundary condition is well replicated: a validation study. J Mech Behav Biomed Mater. January 2017;65:644-651.
2013	Madi K, Tozzi G, Zhang Q, Tong J, Cossey A, Au A, Hollis D, Hild F. Computation of full-field displacements in a scaffold implant using digital volume correlation and finite element analysis. Med Eng Phys. September 2013;35(9):1298.
2004	Crawford RP, Keaveny TM. Relationship between axial and bending behaviors of the human thoracolumbar vertebra. Spine. October 15, 2004;29(20):2248-2255.
2006	Yang S. Animal Experiment (rabbit) to Demonstrate Changes in Trabecular Bone Mechanical Properties Over Time Using Finite Element Analysis [PhD thesis]. Louisville, KY: University of Louisville; December 2006.
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.
2016	Chen Y. Verification and Validation of MicroCT-Based Finite Element Models of Bone Tissue Biomechanics [PhD thesis]. Sheffield, UK: University of Sheffield; July 2016.
2019	Oliviero S. Non-Invasive Prediction of Bone Mechanical Properties of the Mouse Tibia in Longitudinal Preclinical Studies [PhD thesis]. University of Sheffield; January 2019.
2004	Prommin D. Compressive Behavior of Trabecular Bone in the Proximal Tibia Using a Cellular Solid Model [PhD thesis]. Texas A&M University; August 2004.
2003	Bayraktar HH. Multiaxial Strength and Micromechanics of Human Bone [PhD thesis]. Berkeley, CA: Berkeley, University of California; 2003.