Abstract
A geometric development of the matrix forms of Hooke’s law for the anisotropic symmetries employing only planes of mirror or reflective symmetry is presented. The forms of the elasticity tensor obtained are almost the same as those that appear in the form of six-by-six matrices in the classic works of Voigt [1] or Love [2]. The differences are those noted by Federov [3]. In this brief presentation only the machinery for these calculations, and not the calculations themselves, are presented.
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References
W. Voigt, Lehrbuch der Kristallphysik, Leipzig (1910).
A. E. H. Love, Elasticity, Dover, New York (1927).
F. I. Fedorov, Theory of Elastic Waves in Crystals, Plenum Press, New York (1968)
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S. C. Cowin and M. M. Mehrabadi, The Anisotropic Symmetries of Linear Elasticity, Appl. Mech. Rev.,in press.
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© 1995 Springer Science+Business Media Dordrecht
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Cowin, S.C., Mehrabadi, M.M. (1995). The Mirror Symmetries of Anisotropic Elasticity. In: Parker, D.F., England, A.H. (eds) IUTAM Symposium on Anisotropy, Inhomogeneity and Nonlinearity in Solid Mechanics. Solid Mechanics and Its Applications, vol 39. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8494-4_4
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DOI: https://doi.org/10.1007/978-94-015-8494-4_4
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