Abstract

In many papers on oriented continua some orthonormal angular coordinates were proposed. With respect to the curvature of the orientation space, it is obvious that such coordinates could not be applied in practice. Therefore, instead of these coordinates a tensor field of rotations had to be used to define the wryness tensor.In this paper the curvilinear coordinates in orientation space are considered. The Euler angles are an example of such coordinates. The inertia conservation law is replaced here by a constitutive relation. From the physical point of view this relation is more general and seems to be better justified than the mentioned law. Within the framework of the polar continuum theory a micromorphic structure is discussed. Some remarks on the principle of a material frame-indifference are also presented.

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