Conservation laws in transversely isotropic linear elastic materials

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Abstract

We find and classify all conservation laws in transversely isotropic linear elastic materials. The complete family of laws is generated by the family of laws which exist for all linear elastic materials and two laws which are generalizations of those found in isotropic materials. One of these latter conservation laws is new. In the case that a certain degeneracy condition exists, there are two more previously unknown laws. There are no further conservation laws unless the material is equivalent under a general linear change of variables to an isotropic material.

Original languageEnglish (US)
Pages (from-to)1005-1017
Number of pages13
JournalProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume453
Issue number1960
DOIs
StatePublished - Jan 1 1997
Externally publishedYes

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