On the structure and invariance of the Barnett-Lothe tensors

Authors:
P. Chadwick and T. C. T. Ting

Journal:
Quart. Appl. Math. **45** (1987), 419-427

MSC:
Primary 73C20; Secondary 73D99

DOI:
https://doi.org/10.1090/qam/910450

MathSciNet review:
910450

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Abstract: The three real tensors introduced by Barnett and Lothe into the theory of steady plane motions of an anisotropic elastic body are shown to have algebraic representations the structure of which is largely independent of material symmetry. The allied form of the complex impedance tensor central to the analyses of surface and interfacial waves in anisotropic elastodynamics is also obtained. A detailed study of the representations yields alternative routes to known results and a variety of new relations. The paper concludes with a discussion of the invariance properties of quantities appearing in the representations under rotations of the reference frame about the direction in which the deformation is uniform.

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Additional Information

DOI:
https://doi.org/10.1090/qam/910450

Article copyright:
© Copyright 1987
American Mathematical Society