A structural model for the mechanical behavior of trabecular bone

Pugh, J. W.; 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.
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	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.
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	Goldstein SA, Hollister SJ, Kuhn JL, Kikuchi N. The mechanical and remodeling properties of trabecular bone. In: Mow VC, Ratcliffe A, Woo SL-Y, eds. Biomechanics of Diarthrodial Joints. Vol 2. New York, NY: Springer-Verlag; 1990:61-81.
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	Odgaard A. Three-dimensional methods for quantification of cancellous bone architecture. Bone. 1997;20(4):315-328.
1975	Runkle JC, Pugh J. The micro-mechanics of cancellous bone, II: determination of the elastic modulus of individual trabeculae by a buckling analysis. Bull Hosp Joint Dis. April 1975;36(1):2-10.
1986	Radin EL, Rose RM. Role of subchondral bone in the initiation and progression of cartilage damage. Clin Orthop Relat Res. December 1986;213:34-40.
1985	Hvid I, Jensen NC, Bünger C, Sølund K, Djurhuus JC. Bone mineral assay: its relation to the mechanical strength of cancellous bone. Eng Med. 1985;14(2):79-83.
1997	Guo XE, Goldstein SA. Is trabecular bone tissue different from cortical bone tissue? Forma. 1997;12(3-4):185-196.
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	Brown TD, Mutschler TA, Ferguson AB. A non-linear finite element analysis of some early collapse processes in femoral head osteonecrosis. J Biomech. 1982;15(9):705-715.
1983	Huiskes R, Chao EYS. A survey of finite element analysis in orthopedic biomechanics: the first decade. J Biomech. 1983;16(6):385-409.
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.
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	Cheal EJ, Snyder BD, Nunamaker DM, Hayes WC. Trabecular bone remodeling around smooth and porous implants in an equine patellar model. J Biomech. 1987;20(11-12):1121-1134.
1989	Ryan SD, Williams JL. Tensile testing of rodlike trabeculae excised from bovine femoral bone. J Biomech. 1989;22(4):351-355.
1991	Hollister SJ, Fyhrie DP, Jepsen KJ, Goldstein SA. Application of homogenization theory to the study of trabecular bone mechanics. J Biomech. 1991;24(9):825-839.
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.
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	Hollister SJ, Brennan JM, Kikuchi N. A homogenization sampling procedure for calculating trabecular bone effective stiffness and tissue level stres. J Biomech. 1994;27(4):433-444.
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.
2000	Niebur GL, Feldstein MJ, Yuen JC, Chen TJ, Keaveny TM. High-resolution finite element models with tissue strength asymmetry accurately predict failure of trabecular bone. J Biomech. December 2000;33(12):1575-1583.
2001	Niebur GL, Yuen JC, Burghardt AJ, Keaveny TM. Sensitivity of damage predictions to tissue level yield properties and apparent loading conditions. J Biomech. May 2001;34(5):699-706.
2002	Kim HS, Al-Hassan STS. A morphological model of vertebral trabecular bone. J Biomech. August 2002;35(8):1101-1114.
2004	Morgan E, Bayraktar H, Yeh O, Majumdar S, Burghardt A, Keaveny T. Contribution of inter-site variations in architecture to trabecular bone apparent yield strains. J Biomech. 2004;37(9):1413-1420.
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	Huiskes R, Hollister SJ. From structure to process, from organ to cell: recent developments of FE-analysis in orthopaedic biomechanics. J Biomech Eng. November 1993;115(4B):520-527.
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.
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	Ciarelli TE, Fyhrie DP, Schaffler MB, Goldstein SA. Variations in three‐dimensional cancellous bone architecture of the proximal femur in female hip fractures and in controls. J Bone Miner Res. 2000;15(1):32-40.
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.
1997	Wachtel EF, Keaveny TM. Dependence of trabecular damage on mechanical strain. J Orthop Res. September 1997;15(5):781-787.
1976	Carter DR, Hayes WC. Bone compressive strength: the influence of density and strain rate. Science. September 10, 1976;194(4270):1174-1176.
1983	Sandover J. Dynamic loading as a possible source of low-back disorders. Spine. September 1983;8(6):652-658.
2001	Birnbaum K, Sindelar R, Gärtner JR, Wirtz DC. Material properties of trabecular bone structures. Surg Radiol Anat. 2001;23(6):399-407.
2007	Cole JH. The Role of Architecture and Tissue Properties in the Structural Integrity of Human Vertebral Cancellous Bone [PhD thesis]. Ithaca, NY: Cornell University; May 2007.
1994	Zysset P. A Constitutive Law for Trabecular Bone [PhD thesis]. Lausanne, Switzerland: École Polytechnique Fédérale de Lausanne; 1994.
2005	Stauber M. Volumetric Spatial Decomposition of Porous Microstructures: A Framework for Element Based Analysis of Trabecular Bone [PhD thesis]. Swiss Federal Institute of Technology Zürich; 2005.
1993	Guo X-DE. Fatigue of Trabecular Bone [PhD thesis]. Cambridge, MA: Harvard University; 1993.
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.
1986	Cheal EJ. Trabecular Bone Remodeling Around Implants [PhD thesis]. Cambridge, MA: Massachusetts Institute of Technology; June 1986.
2024	Davis SL. Using High Resolution X-Ray Computed Tomography and Digital Volume Correlation to Assess Full-Field 3d Strain Distribution Patterns in Osteoarthritic Cartilage [PhD thesis]. Portsmouth, England: University of Portsmouth; 2024.
2011	Ahmed F. Multiscale Quantitative Imaging of Human Femoral Heads Using X-Ray Microtomography [PhD thesis]. Queen Mary University of London; 2011.
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.
1988	Whalen RT. The Influence of the Daily Stress History on the Regulation of Bone Density [PhD thesis]. Stanford University; February 1988.
1987	Turner CH. On the Relationship Between the Elastic Properties of Cancellous Bone and Its Structure [PhD thesis]. New Orleans, LA: Tulane University; 1987.
1994	Fritton SP. Computational Simulation of Trabecular Bone Adaptation [PhD thesis]. Tulane University; January 1994.
2014	Gross T. Development and Application of 3d CT Image-Based Micro and Macro Finite Element Models for Human Bones and Orthopedic Implant Systems [PhD thesis]. Vienna University of Technology; 2014.
2000	Niebur GL. A Computational Investigation of Multiaxial Failure in Trabecular Bone [PhD thesis]. Berkeley, CA: Berkeley, University of California; 2000.
2002	Morgan EF-i. The Dependence on Anatomic Site of Trabecular Bone Structure-Function Relationships [PhD thesis]. Berkeley, CA: Berkeley, University of California; 2002.
2003	Bayraktar HH. Multiaxial Strength and Micromechanics of Human Bone [PhD thesis]. Berkeley, CA: Berkeley, University of California; 2003.
2013	Wang Y-K. Multi-Level Micromechanical Modeling of Bone Tissues [PhD thesis]. Los Angeles, CA: Los Angeles, University of California; 2013.
2016	Chang N. Structural Deterioration of Human Articular Cartilage and Subchondral Plate [PhD thesis]. San Diego (UCSD), University of California; 2016.
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.
2010	Schwen LO. Composite Finite Elements for Trabecular Bone Microstructures [PhD thesis]. Bonn, Germany: Rheinische Friedrich-Wilhelms-Universität Bonn; July 2010.
2011	Doré D. The Role of Subchondral Bone in Osteoarthritis [PhD thesis]. University of Tasmania; November 2011.
2005	Shah S. Skull Fracture Prediction Using Finite Element Model With Skull Thickness Variation [Master's thesis]. Detroit, MI: Wayne State University; 2005.

Year	Entry
1970	Yamada H. Strength of Biological Materials. Evans FG, ed. Baltimore, MD: Williams & Wilkins Company; 1970.
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.
1970	Piekarski K. Fracture of bone. J Appl Phys. January 1970;41(1):215-223.
1957	Evans FG. Stress and Strain in Bones: Their Relation to Fractures and Osteogenesis. Springfield, IL: Charles C. Thomas; 1957.
1972	Radin EL, Paul IL, Rose RM. Role of mechanical factors in pathogenesis of primary osteoarthritis. Lancet. March 4, 1972;299(7749):519-522.
1961	Evans FG, ed. Biomechanical Studies of the Musculo-Skeletal System. Springfield, IL: Charles C. Thomas; 1961.
1966	Swanson SAV, Freeman MAR. Is bone hydraulically strengthened? Med Biol Eng. September 1966;4(5):433-438.
1970	Currey JD. The mechanical properties of bone. Clin Orthop Relat Res. November–December 1970;73:210-231.