Theoretical analysis of the experimental artifact in trabecular bone compressive modulus

Keaveny, Tony M.; Borchers, Robert E.; Gibson, Lorna J.; Hayes, Wilson C.

Year	Entry
2001	Keaveny TM, Morgan EF, Niebur GL, Yeh OC. Biomechanics of trabecular bone. Ann Rev Biomed Eng. 2001;3:307-333.
1994	Linde F. Elastic and viscoelastic properties of trabecular bone by a compression testing approach. Dan Med Bull. April 1994;41(2):119-138.
2005	Nazarian A, Stauber M, Müller R. Design and implementation of a novel mechanical testing system for cellular solids. J Biomed Mater Res. 2005;B73(2):400-411.
2009	Rhee Y, Hur J-H, Won Y-Y, Lim S-K, Beak M-H, Cui W-Q, Kim K-G, Kim YE. Assessment of bone quality using finite element analysis based upon micro-CT images. Clin Orthop Surg. March 2009;1(1):40-47.
2006	Stoppie N, Pattijn V, Cleynenbreugel T, Wevers M, Vander Sloten J, Ignace N. Structural and radiological parameters for the characterization of jawbone. Clin Oral Implants Res. 2006;17(2):124-133.
2017	Tsirigotis A, Deligianni DD. Combining digital image correlation and acoustic emission for monitoring of the strain distribution until yielding during compression of bovine cancellous bone. Front Mater. December 20, 2017;4:44.
1996	van Rietbergen B. Mechanical Behavior and Adaptation of Trabecular Bone in Relation to Bone Morphology [PhD thesis]. Nijmegen, Netherlands: Catholic University of Nijmegen; 1996.
2013	Shang-cheng W, Dong-mei W, Fang W, Qiu-gen W, Chun-hui W, Shan-guang C. Tensile and compressive mechanical property of human bone tissue [in Chinese]. Ch J Tissue Eng Res. 2013;17(7):1180-1184.
2018	Zhao S, Arnold M, Ma S, Abel RL, Cobb JP, Hansen U, Boughton O. Standardizing compression testing for measuring the stiffness of human bone. Bone Joint Res. August 2018;7(8):524-538.
1995	Borchers RE, Gibson LJ, Burchardt H, Hayes WC. Effects of selected thermal variables on the mechanical properties of trabecular bone. Biomaterials. May 1995;16(7):545-551.
2009	Rincón-Kohli L, Zysset PK. Multi-axial mechanical properties of human trabecular bone. Biomech Model Mechanobiol. June 2009;8(3):195-208.
1997	Odgaard A. Three-dimensional methods for quantification of cancellous bone architecture. Bone. 1997;20(4):315-328.
1999	Kabel J, van Rietbergen B, Odgaard A, Huiskes R. Constitutive relationships of fabric, density, and elastic properties in cancellous bone architecture. Bone. October 1999;25(4):481-486.
2006	Nazarian A, Stauber M, Zurakowski D, Snyder BD, Müller R. The interaction of microstructure and volume fraction in predicting failure in cancellous bone. Bone. December 2006;39(6):1196-1202.
2009	Bevill G, Eswaran SK, Farahmand F, Keaveny TM. The influence of boundary conditions and loading mode on high-resolution finite element-computed trabecular tissue properties. Bone. April 2009;44(4):573-578.
2008	Nazarian A, von Stechow D, Zurakowski D, Müller R, Snyder BD. Bone volume fraction explains the variation in strength and stiffness of cancellous bone affected by metastatic cancer and osteoporosis. Calcif Tiss Int. December 2008;83(6):368-379.
2008	Helgason B, Perilli E, Schileo E, Taddei F, Brynjólfsson S, Viceconti M. Mathematical relationships between bone density and mechanical properties: a literature review. Clin Biomech (Bristol, Avon). 2008;23(2):135-146.
1993	Keaveny TM, Borchers RE, Gibson L, Hayes WC. Trabecular bone modulus and strength can depend on specimen geometry. J Biomech. 1993;26(8):991-995,
1994	Keaveny TM, Guo XE, Wachtel EF, McMahon TA, Hayes WC. Trabecular bone exhibits fully linear elastic behavior and yields at low strains. J Biomech. 1994;27(9):1127-1129.
1994	Keller TS. Predicting the compressive mechanical behavior of bone. J Biomech. September 1994;27(9):1159-1168.
1994	Keaveny TM, Wachtel EF, Guo XE, Hayes WC. Mechanical behavior of damaged trabecular bone. J Biomech. November 1994;27(11):1309-1318.
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. 1995;28(1):69-81.
1998	Kopperdahl DL, Keaveny TM. Yield strain behavior of trabecular bone. J Biomech. 1998;31(7):601-608.
1999	Kabel J, van Rietbergen B, Dalstra M, Odgaard A, Huiskes R. The role of an effective isotropic tissue modulus in the elastic properties of cancellous bone. J Biomech. 1999;32(7):673-680.
2001	Morgan EF, Keaveny TM. Dependence of yield strain of human trabecular bone on anatomic site. J Biomech. 2001;34(5):569-577.
2001	Yeni YN, Fyhrie DP. 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.
2002	Bini F, Marinozzi A, Marinozzi F, Patanè F. Microtensile measurements of single trabeculae stiffness in human femur. J Biomech. 2002;35(11):1515-1519.
2004	Nazarian A, Müller R. Time-lapsed microstructural imaging of bone failure behavior. J Biomech. 2004;37(1):55-65.
2006	Ün K, Bevill G, Keaveny TM. The effects of side-artifacts on the elastic modulus of trabecular bone. J Biomech. 2006;39(11):1955-1963.
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. 2008;41(11):2589-2596.
2010	Cory E, Nazarian A, Entezari V, Vartanians V, Müller R, Snyder BD. Compressive axial mechanical properties of rat bone as functions of bone volume fraction, apparent density and micro-CT based mineral density. J Biomech. 2010;43(5):953-960.
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.
1998	Zysset PK, Goulet RW, Hollister SJ. A global relationship between trabecular bone morphology and homogenized elastic properties. J Biomech Eng. October 1998;120(5):640-646.
2001	Morgan EF, Yeh OC, Chang WC, Keaveny TM. Nonlinear behavior of trabecular bone at small strains. J Biomech Eng. 2001;123(1):1-9.
1994	Keyak JH, Lee IY, Skinner HB. Correlations between orthogonal mechanical properties and density of trabecular bone: use of different densitometric measures. J Biomed Mater Res. November 1994;A28(11):1329-1336.
2010	Lievers WB, Waldman SD, Pilkey AK. Minimizing specimen length in elastic testing of end-constrained cancellous bone. J Mech Behav Biomed Mater. January 2010;3(1):22-30.
2012	Kelly N, McGarry JP. Experimental and numerical characterisation of the elasto-plastic properties of bovine trabecular bone and a trabecular bone analogue. J Mech Behav Biomed Mater. May 2012;9:184-197.
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.
1998	Van Rietbergen B, Odgaard A, Kabel J, Huiskes R. Relationships between bone morphology and bone elastic properties can be accurately quantified using high‐resolution computer reconstructions. J Orthop Res. January 1998;16(1):23-28.
1999	Keaveny TM, Wachtel EF, Kopperdahl DL. Mechanical behavior of human trabecular bone after overloading. J Orthop Res. May 1999;17(3):346-353.
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.
2002	Kopperdahl DL, Morgan EF, Keaveny TM. Quantitative computed tomography estimates of the mechanical properties of human vertebral trabecular bone. J Orthop Res. July 2002;20(4):801-805.
1995	Müller R, Rüegsegger P. Three-dimensional finite element modelling of non-invasively assessed trabecular bone structures. Med Eng Phys. March 1995;17(2):126-133.
1997	Silva MJ, Keaveny TM, Hayes WC. Load sharing between the shell and centrum in the lumbar vertebral body. Spine. January 1997;22(2):140-150.
1997	Bowman SM. Creep of Trabecular Bone [PhD thesis]. Cambridge, MA: Harvard University; May 1997.
2001	Arthur Moore TL. Microdamage Accumulation in Bovine Trabecular Bone [PhD thesis]. Cambridge, MA: Massachusetts Institute of Technology; June 2001.
2012	Kelly N. An Experimental and Computational Investigation of the Inelastic Behaviour of Trabecular Bone [PhD thesis]. Galway, Ireland: National University of Ireland Galway; September 2012.
2009	Lievers WB. Effects of Geometric and Material Property Changes on the Apparent Elastic Properties of Cancellous Bone [PhD thesis]. Kingston, ON: 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]. Kingston, ON: Queen's University; 2013.
2001	Boyd SK. Microstructural Bone Adaptation in an Experimental Model of Osteoarthritis [PhD thesis]. Calgary, AB: University of Calgary; January 2001.
1998	Kopperdahl DL. Structural Consequences of Damage on the Mechanical Behavior of the Human Vertebral Body [PhD thesis]. Berkeley, CA: Berkeley, University of California; 1998.
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.
2010	Wald MJ. Mapping Trabecular Bone Fabric Tensor by in Vivo Magnetic Resonance Imaging [PhD thesis]. Philadelphia, PA: University of Pennsylvania; 2010.
2011	Aiyangar AK. Physical and Computational Modeling of Subsidence of Anterior Interbody Fusion Devices [PhD thesis]. Madison, WI: University of Wisconsin; 2011.

Year	Entry
1989	Ashman RB, Rho JY, Turner CH. Anatomical variation of orthotropic elastic moduli of the proximal human tibia. J Biomech. 1989;22(8-9):895-900.
1987	Ashman RB, Corin JD, Turner CH. Elastic properties of cancellous bone: measurement by an ultrasonic technique. J Biomech. 1987;20(10):979-986.
1991	Allard RN, Ashman RB. A comparison between cancellous bone compressive moduli determined from surface strain and total specimen deflection. In: Transacation of the 37th Annual Meeting of the Orthopaedic Research Society. March 4-7, 1991; Anaheim, CA.151.
1989	Turner CH. Yield behavior of bovine cancellous bone [published correction appears in J Biomech Eng. 1989;111(4):335]. J Biomech Eng. 1989;111(3):256-260.
1983	Neil JL, Demos TC, Stone JL, Hayes WC. Tensile and compressive properties of vertebral trabecular bone. In: Transacation of the 29th Annual Meeting of the Orthopaedic Research Society. March 8-10, 1983; Anaheim, CA.344.
1985	Beaupre GS, Hayes WC. Finite element analysis of a three-dimensional open-celled model for trabecular bone. J Biomech Eng. August 1985;107(3):249-256.
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.
1987	Linde F, Hvid I. Stiffness behaviour of trabecular bone specimens. J Biomech. 1987;20(1):83-89.
1989	Linde F, Hvid I. The effect of constraint on the mechanical behaviour of trabecular bone specimens. J Biomech. 1989;22(5):485-490.
1989	Odgaard A, Hvid I, Linde F. Compressive axial strain distributions in cancellous bone specimens. J Biomech. 1989;22(8-9):829-835.
1991	Røhl L, Larsen E, Linde F, Odgaard A, Jørgensen J. Tensile and compressive properties of cancellous bone. J Biomech. 1991;24(12):1143-1149.
1982	Williams JL, Lewis JL. Properties and an anisotropic model of cancellous bone from the proximal tibial epiphysis. J Biomech Eng. February 1982;104(1):50-56.
1980	Carter DR, Schwab GH, Spengler DM. Tensile fracture of cancellous bone. Acta Orthop Scand. 1980;51(5):733-741.
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.
1991	Odgaard A, Linde F. The underestimation of Young's modulus in compressive testing of cancellous bone specimens. J Biomech. 1991;24(8):691-698.
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.
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.
1993	Keaveny TM, Borchers RE, Gibson L, Hayes WC. Trabecular bone modulus and strength can depend on specimen geometry. J Biomech. 1993;26(8):991-995,
1970	McElhaney J, Alem N, Roberts V. A porous block model for cancellous bones. Winter Annual Meeting of the American Society of Mechanical Engineers; November 29–December 3, 1970; New York, NY.1-9. ASME Publication 70-WA/BHF-2.