1305.3477 (D. H. Delphenich)

The use of the teleparallelism connection in continuum mechanics    [PDF]

D. H. Delphenich

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.

View original: http://arxiv.org/abs/1305.3477