Mechanical properties of cortical bone and cancellous bone tissue

Bone Mechanics Handbook, Second Edition

Volumn , Issue , 2001, Pages 10-1-10-24

  Guo, X Edward ^a  

^a Och Spine at New York Presbyterian Hospitals   (United States)

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EID: 85009195610     PISSN: None     EISSN: None     Source Type: Book    
DOI: None     Document Type: Chapter

References (126)

1. Melton, L. J., Epidemiology of fractures, in Osteoporosis Etiology, Diagnosis, and Management, Riggs, B. L. and Melton, L. J., Eds., Raven Press, New York, 1988, 133.
2. Heaney, R. P., Is there a role for bone quality in fragility fractures? [Review], Calcif. Tissue Int., 53 (Suppl.1), S3, 1993.
3. Martin, R. B. and Burr, D. B., Structure, Function, and Adaptation of Compact Bone; Vol. 1, Raven Press, New York, 1989, 275.
4. Schaffler, M. B., Burr, D. B., and Frederickson, R. G., Morphology of the osteonal cement line in human bone, Anat. Rec., 217, 223, 1987.
5. Marotti, G., A new theory of bone lamellation, Calcif. Tissue Int., 53, S47, 1993.
6. Jee, W. S. S., The skeletal tissue, in Cell and Tissue Biology: A Textbook of Histology, Weiss, L., Eds., Urban & Schwarzenberg, Baltimore, 1990, 200.
7. Lozupone, E., The structure of the trabeculae of cancellous bone. 1. The calcaneus, Anat. Anz., 159, 211, 1985.
8. Sato, K., Wakamatsu, E., Sato, T., Honma, T., Kotake, H., and Byers, P. D., Histomorphometric study of trabecular channels in normal iliac bone, Calcif. Tissue Int., 39, 2, 1986.
9. Lozupone, E. and Favia, A., The structure of the trabeculae of cancellous bone. 2. Long bones and mastoid, Calcif. Tissue Int., 46, 367, 1990.
10. Ascenzi, A. and Bonucci, E., The tensile properties of single osteons, Anat. Rec., 158, 375, 1967.
11. Ascenzi, A., Bonucci, E., Ripamonti, A., and Roveri, N., X-ray diffraction and electron microscope study of osteons during calcification, Calcif. Tissue Res., 25, 133, 1978.
12. Ascenzi, A., The micromechanics versus the macromechanics of cortical bone—a comprehensive presentation, J. Biomech. Eng., 8, 143, 1988.
13. Kragstrup, J., Gundersen, H. J. G., Melsen, F., and Mosekilde, L., Estimation of the three-dimensional wall thickness of complete remodeling sites in iliac trabecular bone, Metab. Bone Dis. Relat. Res., 4, 113, 1982.
14. Kragstrup, J., Melsen, F., and Mosekilde, L., Thickness of lamellae in normal human iliac trabecular bone, Metab. Bone Dis. Relat. Res., 4, 291, 1983.
15. Katz, J. L. and Meunier, A., The elastic anisotropy of bone, J. Biomech., 20, 1063, 1987.
16. Martin, R. B., and Boardman D. L., The effects of collagen fiber orientation, porosity, density, and mineralization on bovine cortical bone bending properties, J. Biomech., 26, 1047, 1993.
17. Crolet, J. M., Aoubiza, B., and Meunier, A., Compact bone: numerical simulation of mechanical characteristics, J. Biomech., 26, 677, 1993.
18. Mammone, J. F. and Hudson, S. M., Micromechanics of bone strength and fracture, J. Biomech., 26, 439, 1993.
19. Hobdell, M. H., The concentration of osteocyte lacunae in human bone, J. Anat., 106, 165, 1970.
20. Yeager, V. L., Chiemchanya, S., and Chaiseri, P., Changes in size of lacunae during the life of osteocytes in osteons of compact bone, J. Gerontol., 30, 9, 1975.
21. Krempien, B., Manegold, C., Ritz, E., and Bommer, J., The influence of immobilization on osteocyte morphology, Virchows Arch. A Pathol. Anat. Histol., 370, 55, 1976.
22. Sissons, H. A. and O’Connor, P., Quantitative histology of osteocyte lacunae in normal human cortical bone, Calcif. Tissue Res., 22, 530, 1977.
23. Cane, V., Marotti, G., Volpi, G., Zaffe, D., and Palazzni, S., Size and density of osteocyte lacunae in different regions of long bones, Calcif. Tissue Int., 34, 558, 1982.
24. Eadie, J. S., Riemer, B. A., and Goldstein, S. A., Quantification of vertebral trabecular bone tissue microstructure, in 41st Annual Meeting ORS, Orlando, FL, Vol. 2, ORS, 1995, 528.
25. Mullender, M. G., Huiskes, R., Versleyen, H., and Buma, P., Osteocyte density and histomorpho-metric parameters in cancellous bone of the proximal femur in five mammalian species, J. Orthop. Res., 14, 972, 1996.
26. Burr, D. B., Schaffler, M. B., and Frederickson, R. G., Composition of the cement line and its possible mechanical role as a local interface in human compact bone, J. Biomech., 21, 939, 1988.
27. Burstein, A. H., Zika, J. M., Heiple, K. G., and Klein, L., Contribution of collagen and mineral to the elastic-plastic properties of bone, J. Bone Joint Surg., 57A, 956, 1975.
28. Jepsen, K. J., Mansoura, M. K., Kuhn, J. L., Wu, H., Jaenisch, R., Bonadio, J. F., and Goldstein, S. A., An in vivo assessment of the contribution of type I collagen to the mechanical properties of cortical bone, in 38th Annual Meeting. ORS, Washington, D.C., Vol. 1, ORS, 1992, 93.
29. Jepsen, K. J., Characterization of the Herrarchical Composite Properties of Cortical Bone: A Transgenic Approach, University of Michigan, Ann Arbor, 1994.
30. Jepsen, K. J., Goldstein, S. A., Kuhn, J. L., Schaffler, M. B., and Bonadio, J., Variations in the static and fatigue properties of lamellar bone associated with matrix level alterations, in 41st Annual Meeting ORS, Orlando, FL, Vol. 1, ORS, 1995, 151.
31. Carter, D. R. and Hayes, W. C., Bone compressive strength: the influence of density and strain rate, Science, 194, 1174, 1976.
32. Carter, D. R. and Hayes, W. C., The compressive behavior of bone as a two-phase porous structure, J. Bone Joint Surg., 59A, 954, 1977.
33. Carter, D. R. and Spengler, D. M., Mechanical properties and chemical composition of cortical bone, Clin. Othop., 135, 192, 1978.
34. Skedros, J., Bloebaum, R. D., Bachus, K. N., Boyce, T. M., and Constantz, B., Influence of mineral content and composition on gray levels in backscatterd elctron images of bone, J. Biomed. Mater. Res., 27, 57, 1993.
35. Crofts, R. D., Boyce, T. M., and Bloebaum, R. D., Aging changes in osteon mineralization in the human femoral neck, Bone, 15, 147, 1994.
36. Dyson, E. D. and Whitehouse, W. J., Composition of trabecular bone in children and its relation to radiation dosimetry, Nature, 217, 576, 1968.
37. Gong, J. K., Arnold, J. S., and Cohn, S. H., Composition of trabecular and cortical bone, Anat. Rec., 149, 325, 1964.
38. Norrdin, R. W., Phemister, R. D., Jaenke, R. S., and Lo Presi, C. A., Density and composition of trabecular and cortical bone in perinatally irradiated beagles with chronic renal failure, Calcif. Tissue Res., 24, 99, 1977.
39. Choi, K., Kuhn, J. L., Ciarelli, M. J., and Goldstein, S. A., The elastic moduli of human subchondral, trabecular, and cortical bone tissue and the size-dependency of cortical bone modulus, J. Biomech., 23, 1103, 1990.
40. Williams, J. L., Ultrasonic wave propagation in cancellous and cortical bone: prediction of some experimental results by Biot’s theory, J. Acoust. Soc. Am., 91, 1106, 1992.
41. Antich, P. P., Anderson, J. A., Ashman, R. B., Dowdey, J. E., Gonzales, J., Murry, R. C., Zerwekh, J. E., and Pak, C. Y., Measurement of mechanical properties of bone material in vitro by ultrasound reflection: methodology and comparison with ultrasound transmission, J. Bone Miner. Res., 6, 417, 1991.
42. McCarthy, R. N., Jeffcott, L. B., and McCartney, R. N., Ultrasound speed in equine cortical bone: effects of orientation, density, porosity and temperature, J. Biomech., 23, 1139, 1990.
43. Lees, S., Heeley, J. D., and Cleary, P. F., A study of some properties of a sample of bovine cortical bone using ultrasound, Calcif. Tissue Int., 29, 107, 1979.
44. Greenfield, M. A., Craven, J. D., Wishko, D. S., Huddleston, A. L., Friedman, R., and Stern, R., The modulus of elasticity of human cortical bone: an in vivo measurement and its clinical implications, Radiology, 115, 163, 1975.
45. Craven, J. D., Costantini, M. A., Greenfield, M. A., and Stern, R., Measurement of the velocity of ultrasound in human cortical bone and its potential clinical importance. An in vivo preliminary study, Invest. Radiol., 8, 72, 1973.
46. Ashman, R. B. and Rho, J. Y., Use of a transmission ultrasonic technique for the in vitro evaluation of bone ingrowth, J. Biomech., 23, 941, 1990.
47. Ashman, R. B., Corin, J. D., and Turner, C. H., Elastic properties of cancellous bone: measurement by an ultrasonic technique, J. Biomech., 20, 979, 1987.
48. Rho, J. Y., Ashman, R. B., and Turner, C. H., Young’s modulus of trabecular and cortical bone material: ultrasonic and microtensile measurements, J. Biomech., 26, 111, 1993.
49. Yoon, H. S. and Katz, J. L., Ultrasonic wave propagation in human cortical bone—I. Theoretical considerations for hexagonal symmetry, J. Biomech., 9, 407, 1976.
50. Yoon, H. S. and Katz, J. L., Ultrasonic wave propagation in human cortical bone—II. Measurements of elastic properties and microhardness, J. Biomech., 9, 459, 1976.
51. Yoon, H. S. and Katz, J. L., Ultrasonic wave propagation in human cortical bone—III. Piezoelectric contribution, J. Biomech., 9, 537, 1976.
52. Lakes, R., Yoon, H. S., and Katz, J. L., Ultrasonic wave propagation and attenuation in wet bone, J. Biomed. Eng., 8, 143, 1986.
53. Zimmerman, M. C., Meunier, A., Katz, J. L., and Christel, P., The evaluation of cortical bone remodeling with a new ultrasonic technique, IEEE Trans. Biomed. Eng., 37, 433, 1990.
54. Shieh, S.-J., Govind, S., Gudipaty, K., Subramanian, R., and Grimm, M. J., High resolution ultrasonic measurements of the material properties of cortical and trabecular bone in the human vertebrae, in 1995 Bioengineering Conference, BED-Vol. 29, Hochmuth, R. M., Langrana, N. A., and Hefzy, M. S., Eds., ASME, 1995, 413.
55. Rho, J. Y., An ultrasonic method for measuring the elastic properties of human tibial cortical and cancellous bone, Ultrasonics, 34, 777, 1996.
56. Nicholson, P. H., Cheng, X. G., Lowet, G., Boonen, S., Davie, M. W., Dequeker, J., and Van der Perre, G., Structural and material mechanical properties of human vertebral cancellous bone, Med. Eng. Phys., 19, 729, 1997.
57. Strelitzki, R., Evans, J. A., and Clarke, A. J., The influence of porosity and pore size on the ultrasonic properties of bone investigated using a phantom material, Osteoporosis Int., 7, 370, 1997.
58. Strelitzki, R., Nicholson, P. H., and Evans, J. A., Low-frequency ultrasonic velocity measurements in human calcaneal trabecular bone, Physiol. Meas., 18, 119, 1997.
59. Hodgskinson, R., Njeh, C. F., Currey, J. D., and Langton, C. M., The ability of ultrasound velocity to predict the stiffness of cancellous bone in vitro, Bone, 21, 183, 1997.
60. Carlstrom, D., Micro-hardness measurements on single Haversian system in bone, Experientia, 10, 171, 1954.
61. Amprino, R., Investigations on some physical properties of bone tissue, Acta Anat., 34, 161, 1958.
62. Weaver, J. K., The microscopic hardness of bone, J. Bone Joint Surg., 48A, 273, 1966.
63. Hodgskinson, J. D., Currey, J. D., and Evans, G. P., Hardness, an indicator of the mechanical competence of cancellous bone, J. Orthop. Res., 7, 754, 1989.
64. Currey, J. D. and Brear, K., Hardness, Young’s modulus and yield stress in mammalian mineralized tissues, J. Mater. Sci. Mater. Med., 1, 14, 1990.
65. Evans, G. P., Behiri, J. C., Currey, J. D., and Bonfield, W., Microhardness and Young’s modulus in cortical bone exhibiting a wide range of mineral volume fractions and in a bone analogue, J. Mater. Sci. Mater. Med., 1, 38, 1990.
66. Blackburn, J., Hodgskinson, R., Currey, J. D., and Mason, J. E., Mechanical properties of microcallus in human cancellous bone, J. Orthop. Res., 10, 237, 1992.
67. Doerner, M. F. and Nix, W. D., A method for determining the data from depth-sensing indentation instruments, J. Mater. Res., 1, 601, 1986.
68. Oliver, W. C. and Pharr, G. M., An improved technique for determining hardness and elastic modulus using load and displacement sensing indentation experiments, J. Mater. Res., 7, 1564, 1992.
69. Sneddon, I. N., The relation between load and penetration in the axisymmetric Boussineq problem for a punch of abitrary profile, Int. J. Eng. Sci., 3, 47, 1965.
70. King, R. B., Elastic analysis of some punch problems for a layered medium, Int. J. Solids Struct., 23, 1657, 1987.
71. Pharr, G. M., Oliver, W. C., and Brotzen, F. R., On the generality of the relationship among contact stiffness, contact area, and elastic modulus during indentation, J. Mater. Res., 7, 613, 1992.
72. Ascenzi, A. and Bonucci, E., The compressive properties of single osteons, Anat. Rec., 161, 377, 1968.
73. Ascenzi, A. and Bonucci, E., The compressive properties of single osteons as a problem of molecular biology, Calcif. Tissue Res., Suppl. 44, 1968.
74. Ascenzi, A. and Bonucci, E., A micromechanic investigation on single osteons using a shearing strength test, Isr. J. Med. Sci., 7, 471, 1971.
75. Ascenzi, A. and Bonucci, E., The shearing properties of single osteons, Anat. Rec., 172, 499, 1972.
76. Ascenzi, A., Bonucci, E., and Simkin, A., An approach to the mechanical properties of single osteonic lamellae, J. Biomech., 6, 227, 1973.
77. Ascenzi, A. and Bonucci, E., Mechanical similarities between alternate osteons and cross-ply laminates, J. Biomech., 9, 65, 1976.
78. Ascenzi, A. and Bonucci, E., Relationship between ultrastructure and “pin test” in osteons, Clin. Orthop., 275, 1976.
79. Ascenzi, A. and Bonucci, E., An investigation of the mechanical anisotropy of the alternately structured osteons, Calcif. Tissue Res., 22 Suppl., 553, 1977.
80. Ascenzi, A., Benvenuti, A., and Bonucci, E., The tensile properties of single osteonic lamellae: technical problems and preliminary results, J. Biomech., 15, 29, 1982.
81. Ascenzi, A., Benvenuti, A., Mango, F., and Simili, R., Mechanical hysteresis loops from single osteons: technical devices and preliminary results, J. Biomech., 18, 391, 1985.
82. Ascenzi, A. and Benvenuti, A., Orientation of collagen fibers at the boundary between two successive osteonic lamellae and its mechanical interpretation, J. Biomech., 19, 455, 1986.
83. Ascenzi, A., Boyde, A., Bianco, P., and Portigliatti Barbos, M., Relationship between mechanical properties and structure in secondary bone, Connect. Tissue Res., 15, 73, 1986.
84. Guo, X. E., Zysset, P. K., Hoffler, C. E., Moore, K. E., and Goldstein, S. A., An application of nanoindentation technique to measure microscopic bone tissue properties, J. Biomech. Eng., submitted, 1999.
85. Rho, J. Y., Tsui, T. Y., and Pharr, G. M., Elastic properties of human cortical and trabecular lamellar bone measured by nanoindentation, Biomaterials, 18, 1325, 1997.
86. Zysset, P. K., Guo, X. E., Hoffler, C. H., Moore, K. E., and Goldstein, S. A., Mechanical properties of human trabecular bone lammelae quantified by nanoindentation, Technol. Health Care, 6, 429, 1998.
87. Zysset, P. K., Guo, X. E., Hoffler, C. E., Moore, K. E., and Goldstein, S. A., Elastic modulus and hardness of cortical and trabecular bone lammelae measured by nanoindentation in the human femur, J. Biomech., 32, 1005, 1999.
88. Wolff, J., Das Gaesetz der Transformation der Knochen, Hirchwild, Berlin, 1892.
89. Guo, X. E. and Goldstein, S. A., Is trabecular bone tissue different from cortical bone tissue? Forma, 12, 185, 1997.
90. Runkle, J. C. and Pugh, J., The micro-mechanics of cancellous bone, Bull. Hosp. J. Dis., 36, 2, 1975.
91. Townsend, P. R., Rose, R. M., and Radin, E. L., Buckling studies of single human trabeculae, J. Biomech., 8, 199, 1975.
92. Mente, P. L. and Lewis, J. L., Experimental method for measurement of the elastic modulus of trabecular bone tissue, J. Orthop. Res., 7, 456, 1989.
93. Ryan, J. C. and Williams, J. L., Tensile testing of rodlike trabeculae excised from bovine femoral bone, J. Biomech., 22, 351, 1989.
94. Ashman, R. B. and Rho, J. Y., Elastic modulus of trabecular bone material, J. Biomech., 21, 177, 1988.
95. Shieh, S. J., Zimmerman, M. C., and Langrana, N. A., The application of scanning acoustic microscopy in a bone remodeling study, J. Biomech. Eng., 117, 286, 1995.
96. Turner, C. H., Takano, Y., Tsui, T. Y., and Pharr, G. M., The elastic properties of trabecular and cortical bone tissues are similar: results from two microscopic measurement techniques, J. Biomech., 32, 437, 1999.
97. Kuhn, J. L., Goldstein, S. A., Choi, K., London, M., Feldkamp, L. A., and Matthews, L. S., Comparison of the trabecular and cortical tissue moduli from human iliac crests, J. Orthop. Res., 7, 876, 1989.
98. Choi, K. and Goldstein, S. A., A comparison of the fatigue behavior of human trabecular and cortical bone tissue, J. Biomech., 25, 1371, 1992.
99. Pugh, J. W., Rose, R. M., and Radin, E. L., A structural model for the mechanical behavior of trabecular bone, J. Biomech., 6, 657, 1973.
100. Williams, J. L. and Lewis, J. L., Properties and an anisotropic model of cancellous bone from the proximal tibial epiphysis, J. Biomech. Eng., 104, 50, 1982.
101. Beaupre, G. S. and Hayes, W. C., Finite element analysis of a three-dimensional open-celled model for trabecular bone, J. Biomech. Eng., 107, 249, 1985.
102. Jensen, K. S. and Mosekilde, L., A model of vertebral trabecular bone architecture and its mechanical properties, Bone, 11, 417, 1990.
103. Hou, F. J., Lang, S. M., Hoshaw, S. J., Reimann, D. A., and Hyhrie, D. P., Human vertebral body apparent and hard tissue stiffness, J. Biomech., 31, 1009, 1998.
104. Ladd, A. J. C., Kinney, J. H., Haupt, D. L., and Goldstein, S. A., Finite-element modeling of trabecular bone: comparison with mechanical testing and determination of tissue modulus, J. Orthop. Res., 16, 622, 1998.
105. Ko, C.-C., Douglas, W. H., and Cheng, Y.-S., Intrinsic mechanical competence of cortical and trabecular bone measured by nanoindentation and microindentation probes, in 1995 ASME Bioengineering Conference, BED-Vol. 29, Hochmuth, R. M., Langrana, N. A., and Hefzy, M. S., Eds., ASME, 1995, 415.
106. Roy, M., Rho, J. Y., Tsui, T. Y., and Pharr, G. M., Variation of Young’s modulus and hardness in human lumbar vertebrae measured by nanoindentation, Adv. Bioeng., BED-33, 385, 1996.
107. Willems, G., Celis, J. P., Lembrechts, P., Braem, M., and Vanherle, G., Hardness and Young’s modulus determined by nanoindentation technique of filler particles of dental restorative materials compared with human enamel, J. Biomed. Mater. Res., 27, 747, 1993.
108. Hoffler, C. E., Guo, X. E., Zysset, P. K., Moore, K. E., and Goldstein, S. A., Evaluation of bone microstructural properties: effect of testing conditions, depth, repetition, time delay and displacement rate, in Summer Conference of Bioengineering Division of ASME, BED-Vol. 35, ASME, 1997, 567.
109. Feldkamp, L. A., Goldstein, S. A., Parfitt, A. M., Jesion, G., and Kleerekoper, M., The direct examination of three-dimensional bone architecture in vitro by computed tomography, J. Bone Miner. Res., 4, 3, 1989.
110. Kinney, J. H., Lane, N. E., and Haupt, D. L., In vivo, three-dimensional microscopy of trabecular bone, J. Bone Miner. Res., 10, 264, 1995.
111. Kuhn, J. L., Goldstein, S. A., Feldkamp, L. A., Goulet, R. W., and Jesion, G., Evaluation of a micro-computed tomography system to study trabecular bone structure, J. Orthop. Res., 8, 833, 1990.
112. Ruegsegger, P., Koller, B., and Muller, R., A microtomographic system for the nondestructive evaluation of bone architecture, Calcif. Tissue Int., 58, 24, 1996.
113. Beck, J. D., Canfield, B. L., Haddock, S. M., Chen, T. J., Kothari, M., and Keaveny, T. M., Threedimensional imaging of trabecular bone using the computer numerically controlled milling technique, Bone, 21, 281, 1997.
114. van Rietbergen, B., Weinans, H., Huiskes, R., and Odgaard, A., A new method to determine trabecular bone elastic properties and loading using micromechanical finite-element models, J. Biomech., 28, 69, 1995.
115. Van Rietbergen, B., Odgaard, A., Kabel, J., and Huiskes, R., Direct mechanics assessment of elastic symmetries and properties of trabecular bone architecture, J. Biomech., 29, 1653, 1996.
116. van Rietbergen, B., Muller, R., Ulrich, D., Ruegsegger, P., and Huiskes, R., Quantitative assessment of tissue loading in a proximal femur using a full scale microstructural FE-Model, in 43rd Annual Meeting of Orthopaedic Research Society, San Francisco, Vol. 1, ORS, 1997, 62.
117. Van Rietbergen, B., Odgaard, A., Kabel, J., and Huiskes, R., Relationships between bone morphology and bone elastic properties can be accurately quantified using high-resolution computer reconstructions, J. Orthop. Res., 16, 23, 1998.
118. Hollister, S. H., Fyhrie, D. P., Jepsen, K. J., and Goldstein, S. A., Application of homogenization theory to the study of trabecular bone mechanics, J. Biomech., 24, 825, 1991.
119. Hollister, S. J., Brennan, J. M., and Kikuchi, N., A homogenization sampling procedure for calculating trabecular bone effective stiffness and tissue level stress, J. Biomech., 27, 433, 1994.
120. Keaveny, T. M., Pinilla, T. P., Crawford, R. P., Kopperdahl, D. L., and Lou, A., Systematic and random errors in compression testing of trabecular bone, J. Orthop. Res., 15, 101, 1997.
121. Keaveny, T. M., Guo, X. E., Wachtel, E. F., McMahon, T. A., and Hayes, W. C., Trabecular bone exhibits fully linear elastic behavior and yields at low strains, J. Biomech., 27, 1127, 1994.
122. Niebur, G. L., Hsia, A. C., Chen, T. J., and Keaveny, T. M., Simulation of trabecular bone yield using nonlinear finite element analysis, in ASMEIMECE, BED-Vol. 43, ASME, 1999.
123. Riemer, B. A., Eadie, J. S., Weissman, D. E., Haut, K. M., Hollister, S. J., and Goldstein, S. A., Characterization of the architecture, tissue properties, and continuum behavior of aging trabecular bone, in 40th Annual Meeting of Orthopaedic Research Society, Vol. 1, ORS, 1994, 189.
124. Riemer, B. A., Eadie, J. S., Wenzel, T. E., Weissman, D. E., Guo, X. E., and Goldstein, S. A., Microstructure and material property variations in compact and trabecular vertebral bone tissue, in 41st Annual Meeting of Orthopaedic Research Society, Vol. 2, ORS, 1995, 529.
125. Cowin, S. C., Ed., Bone Mechanics, CRC Press, Boca Raton, FL, 1988.
126. Williams, J. L. and Johnson, W. J. H., Elastic constants of composites formed from PMMA bone cement and anisotropic bovine cancellous bone, J. Biomech., 22, 673, 1989.