On the relationship between the orthotropic Young's moduli and fabric

Cowin, Stephen C.; Turner, Charles H.

Affiliations

¹Department of Mechanical Engineering, The School of Engineering of the City College and The Graduate School of The City University of New York, New York, NY 10031, U.S.A.

²Department of Orthopaedic Surgery, Indiana University, Indianapolis, IN 46202, U.S.A.

Links

DOI: 10.1016/0021-9290(92)90062-6

PubMed: 1491025

WoS: A1992JZ89500012

Cited Works (3)

Year	Entry
1992	Turner CH. On Wolff's law of trabecular architecture. J Biomech. January 1992;25(1):1-9.
1990	Turner CH, Cowin SC, Rho JY, Ashman RB, Rice JC. The fabric dependence of the orthotropic elastic constants of cancellous bone. J Biomech. 1990;23(6):549-561.
1985	Cowin SC. The relationship between the elasticity tensor and the fabric tensor. Mech Mater. 1985;4(2):137-147.

Cited By (17)

Year	Entry
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.
2005	Jiroušek O, Jíra J, Jírová J, Micka M. Finite element model of human skull used for head injury criteria assessment. In: Gilchrist MD, ed. IUTAM Symposium on Impact Biomechanics: From Fundamental Insights to Applications. Dordrecht, The Netherlands: Springer; 2005:459-467. Solid Mechanics and Its Applications; vol 124.
1995	Majumdar S, Newitt D, Jergas M, Gies A, Chiu E, Osman D, Keltner J, Keyak J, Genant H. Evaluation of technical factors affecting the quantification of trabecular bone structure using magnetic resonance imaging. Bone. October 1995;17(4):417-430.
1998	Majumdar S, Kothari M, Augat P, Newitt DC, Link TM, Lin JC, Lang T, Lu Y, Genant HK. High-resolution magnetic resonance imaging: three-dimensional trabecular bone architecture and biomechanical properties. Bone. May 1998;22(5):445-454.
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.
2012	Hazrati Marangalou J, Ito K, van Rietbergen B. A new approach to determine the accuracy of morphology–elasticity relationships in continuum FE analyses of human proximal femur. J Biomech. November 15, 2012;45(15):2884-2892.
2012	Souzanchi MF, Palacio-Mancheno P, Borisov YA, Cardoso L, Cowin SC. Microarchitecture and bone quality in the human calcaneus: local variations of fabric anisotropy. J Bone Miner Res. December 2012;27(12):2562-2572.
1998	Majumdar S. A review of magnetic resonance (MR) imaging of trabecular bone micro-architecture: contribution to the prediction of biomechanical properties and fracture prevalence. Technol Health Care. 1998;6(5-6):321-327.
2013	Souzanchi MF. The Effect of Microarchitecture and Fabric Anisotropy of Trabecular Bone on Its Mechanical Behavior [PhD thesis]. New York, NY: The City University of New York; 2013.
1994	Zysset P. A Constitutive Law for Trabecular Bone [PhD thesis]. Lausanne, Switzerland: École Polytechnique Fédérale de Lausanne; 1994.
2007	Voide R. Functional Phenotyping of Bone: A Hierarchical Assessment of Bone Failure Characteristics [PhD thesis]. Swiss Federal Institute of Technology Zürich; 2007.
2009	Alwood JS. Radiation and Mechanical Unloading Effects on Mouse Vertebral Bone: Ground-Based Models of the Spaceflight Environment [PhD thesis]. Stanford University; September 2009.
2000	Niebur GL. A Computational Investigation of Multiaxial Failure in Trabecular Bone [PhD thesis]. Berkeley, CA: Berkeley, University of California; 2000.
2003	Bayraktar HH. Multiaxial Strength and Micromechanics of Human Bone [PhD thesis]. Berkeley, CA: Berkeley, University of California; 2003.
2003	Fox JC. Biomechanics of the Proximal Femur: Role of Bone Distribution and Architecture [PhD thesis]. Berkeley, CA: Berkeley, University of California; 2003.
2013	Sanyal A. Bone Strength Multi-Axial Behavior: Volume Fraction, Anisotropy and Microarchitecture [PhD thesis]. Berkeley, CA: Berkeley, University of California; 2013.
1993	Goulet RW. The Quantification of the Structure and Mechanical Properties of Trabecular Bone [PhD thesis]. University of Michigan; 1993.