Anisotropic Hooke's law for cancellous bone and wood

Journal of Elasticity

Volumn 53, Issue 2, 1998, Pages 125-146

  Yang, Guoyu ^a   Kabel, Jesper ^b   Van Rietbergen, Bert ^c   Odgaard, Anders ^b   Huiskes, Rik ^d   Cowin, Stephen C ^a,e,f  

^a CITY UNIVERSITY OF NEW YORK   (United States)

^b AARHUS UNIVERSITY HOSPITAL   (Denmark)

^c ETH ZURICH   (Switzerland)

^d RADBOUD UNIVERSITY NIJMEGEN   (Netherlands)

^e City College ^*  (United States)

^f CITY COLLEGE OF NEW YORK   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BONE; COMPOSITION; ELASTICITY; WOOD;

CANCELLOUS BONE; HARDWOODS; HOOKE LAW; SOFTWOODS;

ANISOTROPY;

ANISOTROPY; ARTICLE; BIOLOGICAL MODEL; BIOPHYSICS; BONE; ELASTICITY; FACTUAL DATABASE; HUMAN; INFORMATION PROCESSING; MATHEMATICS; PHYSIOLOGY; STATISTICAL ANALYSIS; TREE; WOOD;

ANISOTROPY; AUTOMATIC DATA PROCESSING; BIOPHYSICS; BONE AND BONES; DATA INTERPRETATION, STATISTICAL; DATABASES, FACTUAL; ELASTICITY; HUMANS; MATHEMATICS; MODELS, BIOLOGICAL; TREES; WOOD;

EID: 0032216516     PISSN: 03743535     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1007575322693     Document Type: Article

References (20)

1. S.C. Cowin and M.M. Mehrabadi, On the identification of material symmetry for anisotropic elastic materials. Quart. J. Mech. Appl. Math. 40 (1987) 451-476.
2. S.C. Cowin, Bone Mechanics. CRC Press, Boca Raton, FL (1989).
3. S.C. Cowin and M.M. Mehrabadi, Anisotropic symmetries of linear elasticity. Appl. Mech. Rev. 48 (1995) 247-285.
4. S.C. Cowin and G. Yang, Averaging anisotropic elastic constant data. J. Elasticity 46 (1997) 151-180.
5. R.F.S. Hearmon, The elasticity of wood and plywood, forest products research special report #9. Dept. Sci. Inds. Res., HMSO, London (1948).
6. R. Hodgskinson and J.D. Currey, Effects of structural variation on Young's modulus of non-human cancellous bone. Journal of Engineering in Medicine, Proc. Instn. Mech. Engrs. 204 (1990) 43-52.
7. R. Hodgskinson, and J.D. Currey, The Effect of variation in the structure on Young's modulus of cancellous bone: a comparison of human and non-human material. Journal of Engineering in Medicine, Proc. Instn. Mech. Engrs. 204 (1990) 115-121.
8. S.J. Hollister, D.P. Fyhrie, K.J. Jepsen and S.A. Goldstein, Application of homogenization theory to the study of trabecular bone mechanics. J. Biomechanics 24 (1991) 825-839.
9. J. Kabel, B. van Rietbergen, M. Dalstra, A. Odgaard and R. Huiskes, The role of an effective isotropic tissue modulus in the elastic properties of cancellous bone. J. Biomechanics, to appear.
10. J. Kabel, B. van Rietbergen, A. Odgaard and R. Huiskes, The constitutive relationships of fabric, density and elastic properties in cancellous bone architecture, submitted to Bone.
11. T.M. Keaveny, T.P. Pinilla, R.P. Crawford, D.L. Kopperdahl and A. Lou, Systematic and random errors in the testing of trabecular bone. J. Orth. Res. 15 (1997) 101-110.
12. M.M. Mehrabadi and S.C. Cowin, Eigentensors of linear anisotropic elastic materials, Quart J. Mech. Appl. Math. 43(1) 15-41 (1990).
13. A. Odgaard, J. Kabel, B. van Rietbergen and R. Huiskes, Fabric and elastic principal directions of cancellous bone are closely related. J. Biomechanics 30 (1997) 487-495.
14. J.C. Rice, S.C. Cowin and J.A. Bowman, On the dependence of the elasticity and the strength of cancellous bone on apparent density. J. Biomechanics 22 (1988) 155-168.
15. J. Rychlewski, On Hooke's Law. Prikl. Matem. Mekhan. 48 (1984) 303-314.
16. W.K. Thomson (Lord Kelvin), Elements of a mathematical theory of elasticity. Phil. Trans. R. Soc. 166 (1856) 481-498.
17. W.K. Thomson (Lord Kelvin), Elasticity, In: Encyclopaedia Britannica, Adam and Charles Black, Edinburgh (1878).
18. B. van Rietbergen, A. Odgaard, J. Kabel and R. Huiskes, Direct mechanical assessment of elastic symmetries and properties of trabecular bone architecture. J. Biomechanics 29 (1996) 1653-1657.
19. B. van Rietbergen, A. Odgaard, J. Kabel and R. Huiskes, Relationships between bone morphology and bone elastic properties can be accurately quantified using high-resolution computer reconstructions. J. Orthop. Res. 16 (1998) 23-28.
20. W. Voigt, Lehrbuch der Kristallphysik. Leipzig (1928).