Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



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.

References [Enhancements On Off] (What's this?)

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DOI: https://doi.org/10.1090/qam/910450
Article copyright: © Copyright 1987 American Mathematical Society

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