Orthotropic bone remodeling: Case of plane stresses

Mechanics Research Communications

Volumn 31, Issue 5, 2004, Pages 617-625

  Watzky, Alexandre ^a   Naili, Salah ^a  

^a UNIVERSITÉ PARIS EST CRÉTEIL   (France)

Author keywords

Biomechanics; Bone; Orthotropy; Remodeling

Indexed keywords

ANISOTROPY; BONE; CONTINUUM MECHANICS; ELASTIC MODULI; ITERATIVE METHODS; MICROSTRUCTURE; POROUS MATERIALS; STRESSES; TENSORS;

MECHANICAL RESISTANCE; ORTHOTROPY; REMODELING; RESORPTION;

BIOMECHANICS;

EID: 3042811858     PISSN: 00936413     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mechrescom.2004.03.013     Document Type: Article

References (16)

1. Ashman R.B., Rho J.Y., Turner C.H. Anatomical variation of orthopedic elastic modula of proximal human tibia. J. Biomech. 22:1989;895-900.
2. Berthelot J.-M. Composite materials. Mechanical Behavior and Structural Analysis. 1999;Springer Verlag, Berlin.
3. Cowin S.C., Moss-Salentijn L., Moss M.L. Candidates for the mechanosensory system in bone. J. Biomech. Eng. 113:1991;191-197.
4. Cowin S.C., Sadegh A.M., Luo G.M. An evolutionary Wolff's law for trabecular architecture. J. Biomech. Eng. 114:1992;129-136.
5. Fung Y.C. Biomechanics: Motion, Flow, Stress and Growth. Chapter 13:1990;Springer, New York.
6. Harrigan T.P., Mann R.W. Characterization of microstructural anisotropy in orthotropic materials using a second rank tensor. J. Mater. Sci. 19:1984;761-767.
7. Harrigan T.P., Jasty M., Mann R.W., Harris W.H. Limitations of the continuum assumption in cancellous bone. J. Biomech. 21:1988;269-275.
8. Kabel J., van Rietbergen B., Dalstra M., Odgaard A., Huiskes R. The role of an effective isotropic tissue modulus in the elastic properties of cancellous bone. J. Biomech. 32:1999;673-680.
9. Katz J.L., Meunier A. The elastic anisotropy of bone. J. Biomech. 20(11/12):1987;1063-1070.
10. Love A.E.H. A Treatise on the Mathematical Theory of Elasticity. 1927;Dover Publications, New York.
11. Mehrabadi M.M., Cowin S.C. Eigentensors of linear anisotropic elastic materials. Q. J. Mech. Appl. Math. 43:1990;15-41.
12. Rice J.C., Cowin S.C., Bowman J.A. On the dependence of the elasticity and strength of cancellous bone on apparent density. J. Biomech. 21:1988;155-168.
13. Thomson (Lord Kelvin) W.K. Elasticity. Encyclopaedia Britannica. 1878;Adam and Charles Black, Edinburgh.
14. van Rietbergen B., Huiskes R. Elastic constants of cancellous bone. Chapter 15 Cowin S.C. Bone Mechanics Handbook. 2001;CRC Press, Boca Raton, FL.
15. Whitehouse W.J. The quantitative morphology of anisotropic trabecular bone. J. Microsc. 101:1974;153-168.
16. Yang G., Kabel J., van Rietbergen B., Odgaard A., Huiskes R., Cowin S.C. The anisotropic Hooke's law for cancellous bone and wood. J. Elast. 53:1999;125-146.