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Hollister, Scott Jeffrey
Homogenization Analysis of Trabecular Bone and Prediction Ofbone Ingrowth Using Topology Optimization
[PhD thesis].
University of Michigan
Goldstein, Steven A.
(supervisor)
1991
Links
PROQUEST:
303943947
Cited Works (47)
Year
Entry
1964
Hashin Z, Rosen BW. The elastic moduli of fiber-reinforced materials.
J Appl Mech
. June 1964;31(2):223-232.
1987
Parfitt AM. Bone remodeling and bone loss: understanding the pathophysiology of osteoporosis.
Clin Obstet Gynecol
. December 1987;30(4):789-811.
1990
Beaupré GS, Orr TE, Carter DR. An approach for time‐dependent bone modeling and remodeling: theoretical development.
J Orthop Res
. September 1990;8(5):651-661.
1985
Gibson LJ. The mechanical behaviour of cancellous bone.
J Biomech
. 1985;18(5):317-328.
1988
Ashman RB, Rho JY. Elastic modulus of trabecular bone material.
J Biomech
. 1988;21(3):177-181.
1984
Parfitt AM. The cellular basis of bone remodeling: the quantum concept reexamined in light of recent advances in the cell biology of bone.
Calcif Tiss Int
. March 1984;36(suppl 1):S37-S45.
1966
Arnold JS, Bartley MH, Tont SA, Jenkins DP. Skeletal changes in aging and disease.
Clin Orthop Relat Res
. December 1966;49:17-38.
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.
1978
Singh I. The architecture of cancellous bone.
J Anat
. October 1978;127(2):305-310.
1990
Fyhrie DP, Carter DR. Femoral head apparent density distribution predicted from bone stresses.
J Biomech
. 1990;23(1):1-10.
1963
Hashin Z, Shtrikman S. A variational approach to the theory of the elastic behaviour of multiphase materials.
J Mech Phys Solids
. March–April 1963;11(2):127-140.
1892
Wolff J. Das Gesetz der Transformation der Knochen. Berlin: Hirschwald; 1892.
1964
Frost HM.
Mathematical Elements of Lamellar Bone Remodelling
. Springfield, IL: Charles C. Thomas; 1964.
1982
Gibson LJ, Ashby MF. The mechanics of three-dimensional cellular materialsthe mechanics of three-dimensional cellular materials.
Proc R Soc Lon Ser-A
. July 8, 1982;382(1782):43-59.
1975
Townsend PR, Rose RM, Radin EL. Buckling studies of single human trabeculae.
J Biomech
. July 1975;8(3-4):199-200.
1989
Burr DB, Schaffler MB, Yang KH, Lukoschek M, Sivaneri N, Blaha JD, Radin EL. Skeletal change in response to altered strain environments: is woven bone a response to elevated strain?
Bone
. 1989;10(3):223-233.
1971
Whitehouse WJ, Dyson ED, Jackson CK. The scanning electron microscope in studies of trabecular bone from a human vertebral body.
J Anat
. April 1971;108(3):481-496.
1974
Whitehouse WJ. The quantitative morphology of anisotropic trabecular bone.
J Microsc
(Oxford). July 1974;101:153-168.
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.
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.
1987
Carter DR, Fyhrie DP, Whalen RT. Trabecular bone density and loading history: regulation of connective tissue biology by mechanical energy.
J Biomech
. 1987;20(8):785-794.
1987
Kuhn JL.
Trabecular Bone Structure and Mechanical Properties
[PhD thesis]. University of Michigan; 1987.
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.
1986
Frost HM.
Intermediary Organization of the Skeleton
. Vols. 1-2. Boca Raton, FL: CRC Press; 1986.
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.
1984
Harrigan TP, Mann RW. Characterization of microstructural anisotropy in orthotropic materials using a second rank tensor.
J Mater Sci
. March 1984;19(3):761-767.
1987
Goldstein SA. The mechanical properties of trabecular bone: dependence on anatomic location and function.
J Biomech
. 1987;20(11-12):1055-1061.
1988
Harrigan TP, Jasty M, Mann RW, Harris WH. Limitations of the continuum assumption in cancellous bone.
J Biomech
. 1988;21(4):269-275.
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.
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.
1974
Behrens JC, Walker PS, Shoji H. Variations in strength and structure of cancellous bone at the knee.
J Biomech
. 1974;7(3):201-207.
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.
1986
Fyhrie DP, Carter DR. A unifying principle relating stress to trabecular bone morphology.
J Orthop Res
. 1986;4(3):304-317.
1963
Hill R. Elastic properties of reinforced solids: some theoretical principles.
J Mech Phys Solids
. September 1963;11(5):357-372.
1988
Skerry TM, Bitensky L, Chayen J, Lanyon LE. Loading-related reorientation of bone proteoglycan in vivo: strain memory in bone tissue?
J Orthop Res
. July 1988;6(4):547-551.
1973
Pugh JW, Rose RM, Radin EL. A structural model for the mechanical behavior of trabecular bone.
J Biomech
. 1973;6(6):657-670.
1989
Martin RB, Burr DB.
Structure, Function, and Adaptation of Compact Bone
. New York, NY: Raven Press; 1989.
1990
Beaupré GS, Orr TE, Carter DR. An approach for time‐dependent bone modeling and remodeling—application: a preliminary remodeling simulation.
J Orthop Res
. September 1990;8(5):662-670.
1987
Huiskes R, Weinans H, Grootenboer HJ, Dalstra M, Fudala B, Slooff TJ. Adaptive bone-remodeling theory applied to prosthetic-design analysis.
J Biomech
. 1987;20(11-12):1135-1150.
1974
Whitehouse WJ, Dyson ED. Scanning electron microscope studies of trabecular bone in the proximal end of the human femur.
J Anat
. 1974;118(pt 3):417-444.
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.
1983
Huiskes R, Chao EYS. A survey of finite element analysis in orthopedic biomechanics: the first decade.
J Biomech
. 1983;16(6):385-409.
1990
Orr TE, Beaupré GS, Carter DR, Schurman DJ. Computer predictions of bone remodeling around porous-coated implants.
J Arthoplast
. September 1990;5(3):191-200.
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.
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.
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.
Cited By (1)
Year
Entry
1996
Livesay GA.
Development of Homogenization Theory for Soft Tissues Undergoing Finite Elastic Deformation
[PhD thesis]. University of Pittsburgh; 1996.