Abstract

A geometric description of generalized Cosserat media is presented in terms of non-holonomic frame bundles of second order. A non-holonomic Ḡ-structure is constructed by using the smooth uniformity of the material and its integrability is proved to be equivalent to the homogeneity of the body. If the material enjoys global uniformity, the theory of linear connections in frame bundles permits to express the inhomogeneity by means of some tensor fields.

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