On the Generation of Anisotropic Tensors
- 1 November 1964
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 5 (11) , 1612-1614
- https://doi.org/10.1063/1.1931197
Abstract
The problem of generating a complete set of linearly independent nth-order tensors which are invariant under a crystallographic group is considered. A number of methods for the solution of this problem such as the use of tensor bases, the addition of tensors of lower symmetry, and the method of polynomial invariants are discussed. The limitations of these methods are outlined.Keywords
This publication has 3 references indexed in Scilit:
- Fourth-Order Elastic CoefficientsJournal of Applied Physics, 1964
- Further results on the strain-energy function for anisotropic elastic materialsArchive for Rational Mechanics and Analysis, 1962
- Tensor Algebra and Young's Symmetry OperatorsAmerican Journal of Mathematics, 1941