Abstract
An orthotropic index (OI) is proposed to indicate the existence of a preferred material direction in each of the symmetry planes of an orthotropic material such as bone. Currently, this function is performed by the anisotropy ratio (AR) of any two Young’s moduli or compressive (A c ) and shear (A s ) anisotropy factors comprised of complicated functions of the elastic constants. The OI incorporates the four independent engineering constants (the shear modulus and Poisson’s ratio in addition to the two Young’s moduli) in each symmetry plane into a single index. The OI thus improves upon the AR by reflecting orthotropy in a more holistic sense and upon the AR, A c and A s by taking on a unique value (zero) only when the material is in fact isotropic.
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R. B. ASHMAN, S. C. COWIN, W. C. VANBUSKIRK and J. C. RICE J. Biomech. 17 (1984) 349.
D. H. CHUNG and W. R. BUESSEM, In “Anisotropy in Single-Crystal Refractor Compounds” (Volume 2 edited byF.W. VAHLDIEK and S.A. MERSOL Plenum Press, New York, 1968) p. 217.
R. F. S. HEARMON, Adv. Phys. 5 (1956) 323.
J. L. KATZ, H. S. YOON, S. LIPSON, R. MAHARIDGE, A. MEUNIER and P. CHRISTEL Calcif. Tissue Int. 36 (1984) S31.
J. L. KATZ, H. S. YOON, S. LIPSON, R. MAHARIDGE, A. MEUNIER and P. CHRISTEL Calcif. Tissue Int. 36 (1984) S31.
S. G. LEKHNITSKII, In “Anisotropic Plates” (Translated from 2nd Russian edition by S.W. TSAI and T. CHERON Gordon and Breach Science Publishers, New York, 1968) p. 171.
B. M LEMPRIERE, AIAA J. 6 (1968) 2226.
C. H. TURNER, J. RHO, Y. TAKANO, T. Y. TSUI and G. M. PHARR J. Biomech. 32 (1999) 437.
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Rapoff, A.J. Orthotropic index for bone. J Mater Sci: Mater Med 17, 803–805 (2006). https://doi.org/10.1007/s10856-006-9838-x
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DOI: https://doi.org/10.1007/s10856-006-9838-x