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On the polynomial invariants of the elasticity tensor

โœ Scribed by J. P. Boehler; A. A. Kirillov; E. T. Onat

Publisher
Springer Netherlands
Year
1994
Tongue
English
Weight
619 KB
Volume
34
Category
Article
ISSN
0374-3535

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๐Ÿ“œ SIMILAR VOLUMES

On the gradients of the principal invari
On the gradients of the principal invariants of a second-order tensor
โœ Jovo Jaric ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Springer Netherlands ๐ŸŒ English โš– 110 KB

In this paper the gradients of the principal invariants of an arbitrary second-order tensor are derived in a very concise way.

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The particular cases of (2.2) needed here can be easily worked out directly; one needs only the derivatives of the trace, the square, and the cube of a tensor.

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We prove that, after multiplication with a suitable monomial, every homogeneous bracket polynomial of rank r > 3 can be factored into a meet and join expression in the Cayley algebra. The main tool in our construction is an explicit algorithm for rewriting polynomial functions in terms of synthetic