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arXiv · 1305.3477

The use of the teleparallelism connection in continuum mechanics

D. H. Delphenich
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Abstract

The geometry of parallelizable manifolds (i.e., teleparallelism) is summarized in the language of local frame fields. Some problems in continuum mechanics that relate to the couple-stresses that are produced in the bending and twisting of prismatic beams and wires are then discussed. It is then shown that by going to a higher-dimensional analogue of the geometry that one used for one-dimensional deformable objects, one is basically using the methods of teleparallelism in the context of the Cosserat approach to deformable bodies.

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D. H. Delphenich. 2013-05-15. The use of the teleparallelism connection in continuum mechanics. https://arxiv.org/abs/1305.3477

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