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The Quarterly Journal of Mechanics and Applied Mathematics 2004 57(4):583-598; doi:10.1093/qjmam/57.4.583
© 2004 by Oxford University Press
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Material symmetries of elasticity tensors

Andrej Bóna*, Ioan Bucataru§ and Michael A. Slawinski

( Department of Earth Sciences, Memorial University, St John's, Newfoundland, A1B 3X7 Canada )

We prove that there are eight subgroups of the orthogonal group O(3) that determine all symmetry classes of an elasticity tensor. Then, we provide the necessary and sufficient conditions that allow us to determine the symmetry class to which a given elasticity tensor belongs. We also give a method to determine the natural coordinate system for each symmetry class.

Received 29 September 2003. Revised 17 February 2004. Revised 28 April 2004.

* <andrej{at}lagrange.esd.mun.ca>

§ <nbucataru{at}hamilton.esd.mun.ca>, <bucataru{at}uaic.ro>

<mslawins{at}mun.ca>


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