Buckling studies of single human trabeculae

Townsend, P. R.; Rose, R. M.; Radin, E. L.

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.
2010	Parkinson IH, Forbes D, Sutton-Smith P, Fazzalari NL. Model-independent 3D descriptors of vertebral cancellous bone architecture. J Osteopor. 2010;2010:641578.
2001	Turner CH, Burr DB. Experimental techniques for bone mechanics. In: Cowin SC, ed. Bone Mechanics Handbook. 2nd ed. Boca Raton, FL: CRC Press; 2001:7-1–7-35.
2001	Guo XE. Mechanical properties of cortical and cancellous bone tissue. In: Cowin SC, ed. Bone Mechanics Handbook. 2nd ed. Boca Raton, FL: CRC Press; 2001:10-1–10-23.
2002	Currey JD. Bones: Structure and Mechanics. Princeton, NJ: Princeton University Press; 2002.
1990	Mosekilde L. Age-related loss of vertebral trabecular bone mass and structure: biomechanical consequences. In: Mow VC, Ratcliffe A, Woo SL-Y, eds. Biomechanics of Diarthrodial Joints. Vol 2. New York, NY: Springer-Verlag; 1990:84-96.
2018	Wu D, Isaksson P, Ferguson SJ, Persson C. Young’s modulus of trabecular bone at the tissue level: a review. Acta Biomater. September 15, 2018;78:1.
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.
1980	Carter DR, Schwab GH, Spengler DM. Tensile fracture of cancellous bone. Acta Orthop Scand. 1980;51(5):733-741.
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.
2020	Akbarzadeh Khorshidi M. Length scale parameter of single trabecula in cancellous bone. Biomech Model Mechanobiol. October 2020;19(5):1917-1923.
1996	Samelin N, Köller W, Ascherl R, Gradinger R. Eine Methode zur Bestimmung biomechanischer Eigenschaften von Trabekeln und Knochengewebe der Spongiosa [A method for determining the biomechanical properties of trabecular and spongiosa bone tissue]. Biomed Tech (Berlin). July–August 1996;41(7-8):203-208.
1985	Mosekilde L, Viidik A, Mosekilde L. Correlation between the compressive strength of iliac and vertebral trabecular bone in normal individuals. Bone. 1985;6(5):291-295.
1987	Mosekilde L, Mosekilde L, Danielsen CC. Biomechanical competence of vertebral trabecular bone in relation to ash density and age in normal individuals. Bone. 1987;8(2):79-85.
1989	Mosekilde L. Sex differences in age-related loss of vertebral trabecular bone mass and structure—biomechanical consequences. Bone. 1989;10(6):425-432.
1990	Jensen KS, Mosekilde L, Mosekilde L. A model of vertebral trabecular bone architecture and its mechanical properties. Bone. 1990;11(6):417-423.
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.
2002	Ito M, Nishida A, Koga A, Ikeda S, Shiraishi A, Uetani M, Hayashi K, Nakamura T. Contribution of trabecular and cortical components to the mechanical properties of bone and their regulating parameters. Bone. September 2002;31(3):351-358.
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.
2006	McCreadie BR, Morris MD, Chen T-c, Rao DS, Finney WF, Widjaja E, Goldstein SA. Bone tissue compositional differences in women with and without osteoporotic fracture. Bone. December 2006;39(6):1190-1195.
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.
1992	Einhorn TA. Bone strength: the bottom line. Calcif Tiss Int. November 1992;51(5):333-339.
2001	Hengsberger S, Kulik A, Zysset P. A combined atomic force microscopy and nanoindentation technique to investigate the elastic properties of bone structural units. Eur Cell Mater. January–June 2001;1:12-17.
1997	Guo XE, Goldstein SA. Is trabecular bone tissue different from cortical bone tissue? Forma. 1997;12(3-4):185-196.
2015	Goda I, Ganghoffer J-F. 3D plastic collapse and brittle fracture surface models of trabecular bone from asymptotic homogenization method. Int J Eng Sci. February 2015;87:58-82.
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.
1985	Gibson LJ. The mechanical behaviour of cancellous bone. J Biomech. 1985;18(5):317-328.
1987	Linde F, Hvid I. Stiffness behaviour of trabecular bone specimens. J Biomech. 1987;20(1):83-89.
1988	Schaffler MB, Burr DB. Stiffness of compact bone: effects of porosity and density. J Biomech. 1988;21(1):13-16.
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.
1988	Ashman RB, Rho JY. Elastic modulus of trabecular bone material. J Biomech. 1988;21(3):177-181.
1989	Ryan SD, Williams JL. Tensile testing of rodlike trabeculae excised from bovine femoral bone. J Biomech. 1989;22(4):351-355.
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.
1993	Rho JY, Ashman RB, Turner CH. Young's modulus of trabecular and cortical bone material: ultrasonic and microtensile measurements. J Biomech. February 1993;26(2):111-119.
1993	Linde F, Sørensen HCF. The effect of different storage methods on the mechanical properties of trabecular bone. J Biomech. 1993;26(10):1249-1252.
1994	Guo X-DE, McMahon TA, Keaveny TM, Hayes WC, Gibson LJ. Finite element modeling of damage accumulation in trabecular bone under cyclic loading. J Biomech. February 1994;27(2):145-155.
1994	Deligianni DD, Maris A, Missirlis YF. Stress relaxation behaviour of trabecular bone specimens. J Biomech. December 1994;27(12):1469-1476.
1999	Turner CH, Rho J, Takano Y, Tsui TY, Pharr GM. The elastic properties of trabecular and cortical bone tissues are similar: results from two microscopic measurement techniques. J Biomech. April 1999;32(4):437-441.
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.
2002	Kim HS, Al-Hassan STS. A morphological model of vertebral trabecular bone. J Biomech. August 2002;35(8):1101-1114.
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.
2006	Nyman JS, Roy A, Shen X, Acuna RL, Tyler JH, Wang X. The influence of water removal on the strength and toughness of cortical bone. J Biomech. 2006;39(5):931-938.
2007	Lievers WB, Lee V, Arsenault SM, Waldman SD, Pilkey AK. Specimen size effect in the volumetric shrinkage of cancellous bone measured at two levels of dehydration. J Biomech. 2007;40(9):1903-1909.
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.
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.
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.
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.
2001	Swadener JG, Rho J, Pharr GM. Effects of anisotropy on elastic moduli measured by nanoindentation in human tibial cortical bone. J Biomed Mater Res. October 2001;57(1):108-112.
1999	Roy ME, Rho J-Y, Tsui TY, Evans ND, Pharr GM. Mechanical and morphological variation of the human lumbar vertebral cortical and trabecular bone. J Biomed Mater Res. February 1999;A44(2):191-197.
1999	Rho J-Y, Roy ME II, Tsui TY, Pharr GM. Elastic properties of microstructural components of human bone tissue as measured by nanoindentation. J Biomed Mater Res. 1999;A45(1):48-54.
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.
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.
2000	Lucchinetti E, Thomann D, Danuser G. Micromechanical testing of bone trabeculae: potentials and limitations. J Mater Sci. December 2000;35(24):6057-6064.
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.
1999	Rho J-Y, Pharr GM. Effects of drying on the mechanical properties of bovine femur measured by nanoindentation. J Mater Sci Mater Med. 1999;10(8):485-488.
2012	Vaughan TJ, McCarthy CT, McNamara LM. A three-scale finite element investigation into the effects of tissue mineralisation and lamellar organisation in human cortical and trabecular bone. J Mech Behav Biomed Mater. August 2012;12:50-62.
2018	Frank M, Marx D, Nedelkovski V, Fischer J-T, Pahr DH, Thurner PJ. Dehydration of individual bovine trabeculae causes transition from ductile to quasi-brittle failure mode. J Mech Behav Biomed Mater. November 2018;87:296-305.
2019	Asgari M, Abi-Rafeh J, Hendy GN, Pasini D. Material anisotropy and elasticity of cortical and trabecular bone in the adult mouse femur via AFM indentation. J Mech Behav Biomed Mater. May 2019;93:81-92.
2020	Maghsoudi-Ganjeh M, Wang X, Zeng X. Computational investigation of the effect of water on the nanomechanical behavior of bone. J Mech Behav Biomed Mater. January 2020;101:103454.
1984	Brown TD, Vrahas MS. The apparent elastic modulus of the juxtarticular subchondral bone of the femoral head. J Orthop Res. 1984;2(1):32-38.
1989	Mente PL, Lewis JL. Experimental method for the measurement of the elastic modulus of trabecular bone tissue. J Orthop Res. 1989;7(3):456-461.
1989	Kuhn JL, Goldstein SA, Choi K, London M, Feldkamp LA, Matthews LS. Comparison of the trabecular and cortical tissue moduli from human iliac crests. J Orthop Res. November 1989;7(6):876-884.
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.
1998	Currey JD. Mechanical properties of vertebrate hard tissues. Proc Inst Mech Eng Part H-J Eng Med. 1998;216(6):399-411.
2020	Smith SM, Angielczyk KD. Deciphering an extreme morphology: bone microarchitecture of the hero shrew backbone (Soricidae: Scutisorex). Proc R Soc B. May 13, 2020;287(1926):20200457.
1976	Carter DR, Hayes WC. Bone compressive strength: the influence of density and strain rate. Science. September 10, 1976;194(4270):1174-1176.
1987	Hansson TH, Keller TS, Panjabi MM. A study of the compressive properties of lumbar vertebral trabeculae: effects of tissue characteristics. Spine. January–February 1987;12(1):56-62.
2013	Burket JC. Alterations in Tissue Composition and Nanomechanical Properties With Ageing, Osteoporosis, and Treatment [PhD thesis]. Ithaca, NY: Cornell University; January 2013.
2015	Goff M. The Role of Micro and Ultra-Structure in Microdamage Accumulation in Cancellous Bone [PhD thesis]. Ithaca, NY: Cornell University; August 2015.
2021	Sacher S. Characterization of Trabecular Morphology, Microdamage Accumulation, and Collagen Crosslinking in Bone Tissue from Individuals With Type II Diabetes Mellitus [Master's thesis]. Ithaca, NY: Cornell University; May 2021.
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.
1994	Zysset P. A Constitutive Law for Trabecular Bone [PhD thesis]. Lausanne, Switzerland: École Polytechnique Fédérale de Lausanne; 1994.
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.
1993	Guo X-DE. Fatigue of Trabecular Bone [PhD thesis]. Cambridge, MA: Harvard University; 1993.
1997	Bowman SM. Creep of Trabecular Bone [PhD thesis]. Cambridge, MA: Harvard University; May 1997.
2002	Follet H. Caractérisation Biomécanique Et Modélisation 3D Par Imagerie X Et IRM Haute Résolution De L’os Spongieux Humain: Evaluation Du Risque Fracturaire [PhD thesis]. Institut national des sciences appliquées de Lyon (INSA Lyon); 2002.
2022	Rahovich P. Effects of Bone Structural Unit (BSU) Geometry and Material Properties on Crack Growth Through Idealized Trabecular Microstructures [Master's thesis]. Sudbury, ON: Laurentian University; 2022.
2019	Du J. Mechanical Adaptation of Human Trabecular Bone: Experimental and Computational Study [PhD thesis]. Loughborough University; 2019.
2007	Akhtar R. Micromechanical Behaviour of Bone [PhD thesis]. University of Manchester; 2007.
1986	Cheal EJ. Trabecular Bone Remodeling Around Implants [PhD thesis]. Cambridge, MA: Massachusetts Institute of Technology; June 1986.
1996	Ford CM. Failure of the Human Proximal Femur: Material and Structural Perspectives [PhD thesis]. Cambridge, MA: Massachusetts Institute of Technology; September 1996.
2015	Oftadeh R. Hierarchical Analysis and Multiscale Modelling of Cellular Structures: From Meta Materials to Bone Structure [PhD thesis]. Northeastern University; December 2015.
2020	O’Sullivan LM. Time-Sequence of Biomechanical Adaption in Trabecular Tissue During Estrogen Deficiency [PhD thesis]. National University of Ireland Galway; March 2020.
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.
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.
2010	Engbretson AC. Determining the Modulus of Intact Bovine Vertebral Cancellous Bone Tissue: Development and Validation of a Protocol [Master's thesis]. Queen's University; August 25, 2010.
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.
2013	Toal VR. The Mechanics of Microdamage and Microfracture in Trabecular Bone [PhD thesis]. Brisbane, Australia: Queensland University of Technology; September 2013.
2006	Whitty M. Development of a Physiological Three Dimensional Finite Element Model of a Human Tibia [Master's thesis]. Kingston, ON: Royal Military College of Canada; May 2006.
2004	McNamara LM. Biomechanical Origins of Osteoporosis [PhD thesis]. Trinity College Dublin; March 2004.
1987	Turner CH. On the Relationship Between the Elastic Properties of Cancellous Bone and Its Structure [PhD thesis]. New Orleans, LA: Tulane University; 1987.
2021	Frank M. Mechanical Characterization of Individual Trabeculae [PhD thesis]. Vienna University of Technology; February 2021.
2002	Graham JH. Fracture Toughness Testing of the Trabecular Bone/acrylic Bone Cement Interface [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.
2013	Wang Y-K. Multi-Level Micromechanical Modeling of Bone Tissues [PhD thesis]. Los Angeles, CA: Los Angeles, University of California; 2013.
1991	Choi K. The Micro Mechanical Properties of Bone Tissue [PhD thesis]. University of Michigan; 1991.
1991	Hollister SJ. Homogenization Analysis of Trabecular Bone and Prediction Ofbone Ingrowth Using Topology Optimization [PhD thesis]. University of Michigan; 1991.
1995	Guldberg RE. Mechanical Adaptation of Trabecular Bone Formation in Vivo [PhD thesis]. University of Michigan; 1995.
1998	Ciarelli TE. Architectural and Material Contributions to Fracture of the Spine and Proximal Femur [PhD thesis]. University of Michigan; 1998.
2000	McCreadie BR. Structural and Material Changes in Osteoporosis: Their Impact on the Mechanical Environment of the Osteocyte [PhD thesis]. University of Michigan; 2000.
2006	Seong W-J. Relationships Between the Physical Properties of Human Jawbone and the Initial Stability of Dental Implant, and Their Dependency on Anatomical Regions of Jawbone [PhD thesis]. University of Minnesota; April 2006.
2021	Atthapreyangkul A. Multi-Scale Finite Element Modelling of Human Cortical Bone: An Analysis of the Mechanical Properties and Microdamage Onset of Cortical Bone [PhD thesis]. University of New South Wales; April 2021.
2020	Maghsoudi-Ganjeh M. Computational Investigation of Ultrastructural Behavior of Bone and Bone-Inspired Materials [PhD thesis]. San Antionio, TX: University of Texas at San Antonio; May 2020.
2001	Zhang N. Investigation of Bone Mechanical Properties At the Microscopic Level Using Ultrasonic Methods and Numerical Simulation [PhD thesis]. Detroit, MI: Wayne State University; 2001.
2019	Knowles NK. Improving Material Mapping in Glenohumeral Finite Element Models: A Multi-Level Evaluation [PhD thesis]. University of Western Ontario; 2019.

Year	Entry
1973	Pugh JW, Rose RM, Radin EL. Elastic and viscoelastic properties of trabecular bone: dependence on structure. J Biomech. 1973;6(5):475-485.
1965	Sedlin ED. A rheologic model for cortical bone: a study of physical properties of human femoral samples. Acta Orthop Scand. 1965;(suppl 83):1-77.
1973	Pugh JW, Rose RM, Radin EL. A structural model for the mechanical behavior of trabecular bone. J Biomech. 1973;6(6):657-670.
1952	Dempster WT, Liddicoat RT. Compact bone as a non-isotropic material. Am J Anat. 1952;91(3):331-362.