Explicit expressions of Barnett-Lothe tensors and their associated tensors for orthotropic materials

Authors:
Changsong Dongye and T. C. T. Ting

Journal:
Quart. Appl. Math. **47** (1989), 723-734

MSC:
Primary 73B40

DOI:
https://doi.org/10.1090/qam/1031687

MathSciNet review:
MR1031687

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Abstract: The three Barnett-Lothe tensors **S, H, L**, appear very often in the solutions to two-dimensional anisotropic elasticity problems. So do their associated tensors for line forces and dislocations and in the problem of surface waves. Explicit expressions of the components of these tensors are derived and presented for orthotropic materials in which the planes of material symmetry coincide with the coordinate planes. With minor modifications, the results for **S, H, L** and can be applied to orthotropic materials in which only the plane coincides with one of the planes of material symmetry.

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DOI:
https://doi.org/10.1090/qam/1031687

Article copyright:
© Copyright 1989
American Mathematical Society