Elastic and viscoelastic properties of trabecular bone:​ dependence on structure

Pugh, James W.; Rose, Robert M.; Radin, Eric 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.
1981	Hayes WC, Snyder B. Toward a quantitative formulation of Wolff's Law in trabecular bone. In: Cowin SC, ed. Mechanical Properties of Bone. The Joint ASME-ASCE Applied Mechnics, Fluids Engineering and Bioengineering Conference; June 22-24, 1981; Boulder, CO. New York, NY: American Society of Mechical Engineers; 1981:43-68.
2001	van Rietbergen B, Huiskes R. Elastic constants of cancellous bone. In: Cowin SC, ed. Bone Mechanics Handbook. 2nd ed. Boca Raton, FL: CRC Press; 2001:15-1–15-24.
2001	Keaveny TM. Strength of trabecular bone. In: Cowin SC, ed. Bone Mechanics Handbook. 2nd ed. Boca Raton, FL: CRC Press; 2001:16-1–16-42.
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.
2000	Takahashi Y, Kikuchi Y, Konosu A, Ishikawa H. Development and validation of the finite element model for the human lower limb of pedestrians. Stapp Car Crash J. 2000;44:335-355. SAE 2000-01-SC22.
1978	Halawa M, Lee AJC, Ling RSM, Vangala SS. The shear strength of trabecular bone from the femur, and some factors affecting the shear strength of the cement-bone interface. Arch Orthop Trauma Surg. March 1978;92(1):19-30.
1980	Zilch H, Rohlmann A, Bergmann G, Kölbel R. Material properties of femoral cancellous bone in axial loading, II: time dependent properties. Arch Orthop Trauma Surg. December 1980;97(4):257-262.
1988	Layton MW, Goldstein SA, Goulet RW, Feldkamp LA, Kubinski DJ, Bole GG. Examination of subchondral bone architecture in experimental osteoarthritis by microscopic computed axial tomography. Arthritis Rheum. November 1988;31(11):1400-1405.
2020	Akbarzadeh Khorshidi M. Length scale parameter of single trabecula in cancellous bone. Biomech Model Mechanobiol. October 2020;19(5):1917-1923.
2020	Chen X, Hughes R, Mullin N, Hawkins RJ, Holen I, Brown NJ, Hobbs JK. Mechanical heterogeneity in the bone microenvironment as characterized by atomic force microscopy. Biophys J. August 4, 2020;119(3):502-513.
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.
1987	Garrahan NJ, Mellish RWE, Vedi S, Compston JE. Measurement of mean trabecular plate thickness by a new computerized method. Bone. 1987;8(4):227-230.
1987	Compston JE, Mellish RWE, Garrahan NJ. Age-related changes in iliac crest trabecular microanatomic bone structure in man. Bone. 1987;8(5):289-292.
1988	Mosekilde L, Mosekilde L. Iliac crest trabecular bone volume as predictor for vertebral compressive strength, ash density and trabecular bone volume in normal individuals. Bone. 1988;9(4):195-199.
1988	Mosekilde L. Age-related changes in vertebral trabecular bone architecture—assessed by a new method. Bone. 1988;9(4):247-250.
1989	Mosekilde L. Sex differences in age-related loss of vertebral trabecular bone mass and structure—biomechanical consequences. Bone. 1989;10(6):425-432.
1991	Vesterby A, Mosekilde L, Gundersen HJG, Melsen F, Mosekilde L, Holme K, Sørensen S. Biologically meaningful determinants of the in vitro strength of lumbar vertebrae. Bone. 1991;12(3):219-224.
1997	Bagi CM, Wilkie D, Georgelos K, Williams D, Bertolini D. Morphological and structural characteristics of the proximal femur in human and rat. Bone. September 1997;21(3):261-267.
1998	Thomsen JS, Ebbesen EN, Mosekilde L. Relationships between static histomorphometry and bone strength measurements in human iliac crest bone biopsies author links open overlay panel. Bone. February 1998;22(2):153-163.
1984	Parfitt AM. Age-related structural changes in trabecular and cortical bone: cellular mechanisms and biomechanical consequences. Calcif Tiss Int. 1984;36(suppl 1):S123-S128.
1985	Linde F, Hvid I, Jensen NC. Material properties of cancellous bone in repetitive axial loading. Eng Med. October 1985;14(4):173-177.
1975	Townsend PR, Rose RM, Radin EL. Buckling studies of single human trabeculae. J Biomech. July 1975;8(3-4):199-200.
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.
1977	Ducheyne P, Heymans L, Martens M, Aernoudt E, Meester Pd, Mulier JC. The mechanical behaviour of intracondylar cancellous bone of the femur at different loading rates. J Biomech. 1977;10(11-12):747-762.
1978	Hayes WC, Swenson LW Jr, Schurman DJ. Axisymmetric finite element analysis of the lateral tibial plateau. J Biomech. 1978;11(1-2):21-33.
1982	Radin EL, Orr RB, Kelman JL, Paul IL, Rose RM. Effect of prolonged walking on concrete on the knees of sheep. J Biomech. 1982;15(7):487-492.
1983	Oonishi H, Isha H, Hasegawa T. Mechanical analysis of the human pelvis and its application to the artificial hip joint: by means of the three dimensional finite element method. J Biomech. 1983;16(6):427-444.
1983	Goldstein SA, Wilson DL, Sonstegard DA, Matthews LS. The mechanical properties of human tibial trabecular bone as a function of metaphyseal location. J Biomech. 1983;16(12):965-969.
1987	Goldstein SA. The mechanical properties of trabecular bone: dependence on anatomic location and function. J Biomech. 1987;20(11-12):1055-1061.
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.
1991	Linde F, Nørgaard P, Hvid I, Odgaard A, Søballe K. Mechanical properties of trabecular bone: dependency on strain rate. J Biomech. 1991;24(9):803-809.
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	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.
1994	Keller TS. Predicting the compressive mechanical behavior of bone. J Biomech. September 1994;27(9):1159-1168.
1994	Deligianni DD, Maris A, Missirlis YF. Stress relaxation behaviour of trabecular bone specimens. J Biomech. December 1994;27(12):1469-1476.
2010	Poukalova M, Yakacki CM, Guldberg RE, Lin A, Saing M, Gillogly SD, Gall K. Pullout strength of suture anchors: effect of mechanical properties of trabecular bone. J Biomech. April 19, 2010;43(6):1660-1665.
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.
1986	Little RB, Wevers HW, Siu D, Cooke TDV. A three-dimensional finite element analysis of the upper tibia. J Biomech Eng. May 1986;108(2):111-119.
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.
2002	Arthur Moore TL, Gibson LJ. Microdamage accumulation in bovine trabecular bone in uniaxial compression. J Biomech Eng. February 2002;124(1):63-71.
1976	Hayes WC, Carter DR. Postyield behavior of subchondral trabecular bone. J Biomed Mater Res. July 1976;10(4):537-544.
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.
1997	McCalden RW, McGeough JA, Court-Brown CM. Age-related changes in the compressive strength of cancellous bone: the relative importance of changes in density and trabecular architecture. J Bone Joint Surg. March 1997;79A(3):421-427.
2000	Nafei A, Kabel J, Odgaard A, Linde F, Hvid I. Properties of growing trabecular ovine bone, II: architectural and mechanical properties. J Bone Joint Surg. August 2000;82B(6):921-927.
2001	Simpson EK, Parkinson IH, Manthey B, Fazzalari NL. Intervertebral disc disorganization is related to trabecular bone architecture in the lumbar spine. J Bone Miner Res. April 2001;16(4):681-687.
1983	Parfitt AM, Mathews CH, Villanueva AR, Kleerekoper M, Frame B, Rao DS. Relationships between surface, volume, and thickness of iliac trabecular bone in aging and in osteoporosis: implications for the microanatomic and cellular mechanisms of bone loss. J Clin Invest. October 1983;72(4):1396-1409.
1991	Durand EP, Rüegsegger P. Cancellous bone structure: analysis of high-resolution ct images with the run-length method. J Comput Assist Tomogr. January–February 1991;15(1):133-139.
1986	Garrahan NJ, Mellish RWE, Compston JE. A new method for the two-dimensional analysis of bone structure in human iliac crest biopsies. J Microsc (Oxford). June 1986;142(3):341-349.
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.
1991	Ciarelli MJ, Goldstein SA, Kuhn JL, Cody DD, Brown MB. Evaluation of orthogonal mechanical properties and density of human trabecular bone from the major metaphyseal regions with materials testing and computed tomography. J Orthop Res. May 1991;9(5):674-682.
2010	Madry H, van Dijk CN, Mueller-Gerbl M. The basic science of the subchondral bone. Knee Surg Sports Traumatol Arthrosc. April 2010;18(4):419-433.
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	Nicholson PHF, Cheng XG, Lowet G, Boonen S, Davie MWJ, Dequeker J, Van der Perre G. Structural and material mechanical properties of human vertebral cancellous bone. Med Eng Phys. October 1997;19(8):729-737.
2020	Aguirre TG, Ingrole A, Fuller L, Seek TW, Fiorillo AR, Sertich JJW, Donahue SW. Differing trabecular bone architecture in dinosaurs and mammals contribute to stiffness and limits on bone strain. PLoS One. August 19, 2020;15(8):e0237042.
1976	Carter DR, Hayes WC. Bone compressive strength: the influence of density and strain rate. Science. September 10, 1976;194(4270):1174-1176.
2001	Birnbaum K, Sindelar R, Gärtner JR, Wirtz DC. Material properties of trabecular bone structures. Surg Radiol Anat. 2001;23(6):399-407.
2003	Bredbenner TL. Damage Modeling of Vertebral Trabecular Bone [PhD thesis]. Cleveland, OH: Case Western Reserve University; January 2003.
1998	Kawcak CE. Effects of Loading on Subchondral Bone of the Equine Carpal and Metacarpophalangeal Joints [PhD thesis]. Colorado State University; 1998.
2020	Aguirre TG. Bio-Inspired Design for Engineering Applications: Empirical and Finite Element Studies of Biomechanically Adapted Porous Bone Architectures [PhD thesis]. Colorado State University; Summer 2020.
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.
2004	İnceoğlu S. Failure of Pedicle Screw-Bone Interface: Biomechanics of Pedicle Screw Insertion and Pullout [PhD thesis]. Cleveland State University; December 2004.
1994	Zysset P. A Constitutive Law for Trabecular Bone [PhD thesis]. Lausanne, Switzerland: École Polytechnique Fédérale de Lausanne; 1994.
1993	Guo X-DE. Fatigue of Trabecular Bone [PhD thesis]. Cambridge, MA: Harvard University; 1993.
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.
2013	Vijayakumar V. Quantifying the Regional Variations in the Mechanical Properties of Cancellous Bone of the Tibia Using Indentation Testing and CT Imaging [Master's thesis]. Hamilton, ON: McMaster University; September 2013.
1986	Cheal EJ. Trabecular Bone Remodeling Around Implants [PhD thesis]. Cambridge, MA: Massachusetts Institute of Technology; June 1986.
1988	Lotz JC. Hip Fracture Risk Predictions by X-Ray Computed Tomography [PhD thesis]. Cambridge, MA: Massachusetts Institute of Technology; August 1988.
2001	Arthur Moore TL. Microdamage Accumulation in Bovine Trabecular Bone [PhD thesis]. Cambridge, MA: Massachusetts Institute of Technology; June 2001.
1981	Williams JL. A Three-Dimensional Head-Neck Model for Impact Acceleration Studies [PhD thesis]. Evanston, IL: Northwestern University; August 1981.
1994	Yetkinler DN. Viscoelastic Behavior of Acrylic Bone Cements [PhD thesis]. The Ohio State University; 1994.
2000	Whiteside R. Press-Fit Strength of Osteochondral Mosaicplasty: An in Vitro Study [Master's thesis]. Queen's University; October 2000.
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.
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.
2009	Mahboob Z. A Validated Finite Element Study of Stress Shielding in a Novel Hybrid Knee Implant [Master's thesis]. Ryerson University; 2009.
2011	Yao H. Microstructure-Based Characterization and Modeling of Trabecular Bone Deformation and Failure [PhD thesis]. Southern Methodist University; August 3, 2011.
2021	Frank M. Mechanical Characterization of Individual Trabeculae [PhD thesis]. Vienna University of Technology; February 2021.
1993	Goulet RW. The Quantification of the Structure and Mechanical Properties of Trabecular Bone [PhD thesis]. University of Michigan; 1993.
1993	McCubbrey DA. The Macroscopic Architectural Properties of Vertebral Trabecular Bone and Their Relation to Whole Vertebral Failure Loads [PhD thesis]. University of Michigan; 1993.
2013	Amini M. Stiffness of the Proximal Tibial Bone in Normal and Osteoarthritic Conditions: A Parametric Finite Element Simulation Study [Master's thesis]. University of Saskatchewan; January 2013.
2011	Doré D. The Role of Subchondral Bone in Osteoarthritis [PhD thesis]. University of Tasmania; November 2011.
2006	Panzer MB. Numerical Modelling of the Human Cervical Spine in Frontal Impact [Master's thesis]. University of Waterloo; 2006.
2008	Burgers TA. Press-Fit Fixation and Viscoelastic Response of a Bone-Implant Interface in the Distal Femur [PhD thesis]. University of Wisconsin – Madison; 2008.

Year	Entry
1969	Lang SB. Elastic coefficients of animal bone. Science. July 18, 1969;165(3890):287-288.
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.
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.
1957	Evans FG. Stress and Strain in Bones: Their Relation to Fractures and Osteogenesis. Springfield, IL: Charles C. Thomas; 1957.
1970	Abendschein W, Hyatt GW. Ultrasonics and selected physical properties of bone. Clin Orthop Relat Res. March–April 1970;69:294-301.
1972	Pugh JW. Structure and Dynamic Properties of Trabecular Bone [PhD thesis]. Cambridge, MA: Massachusetts Institute of Technology; 1972.
1970	Radin EL, Paul IL, Tolkoff MJ. Subchondral bone changes in patients with early degenerative joint disease. Arthritis Rheum. July–August 1970;13(4):400-405.
1973	Radin EL, Parker HG, Pugh JW, Steinberg RS, Paul IL, Rose RM. Response of joints to impact loading, III: relationship between trabecular microfractures and cartilage degeneration. J Biomech. January 1973;6(1):51-57.
1970	Galante J, Rostoker W, Ray RD. Physical properties of trabecular bone. Calcif Tiss Res. 1970;5(1):236-246.
1970	Morrison JB. The mechanics of the knee joint in relation to normal walking. J Biomech. January 1970;3(1):51-61.
1970	Radin EL, Paul IL, Lowy M. A comparison of the dynamic force transmitting properties of subchondral bone and articular cartilage. J Bone Joint Surg. April 1970;52A(3):444-456.
1966	Swanson SAV, Freeman MAR. Is bone hydraulically strengthened? Med Biol Eng. September 1966;4(5):433-438.
1968	Burstein AH, Frankel VH. The viscoelastic properties of some biological materials. Annals NY Acad Sci. January 1968;146:158-165.
1970	Currey JD. The mechanical properties of bone. Clin Orthop Relat Res. November–December 1970;73:210-231.