Abstract
This chapter derives the kinematic fields (deformation and deformation rate tensors) in general curvilinear coordinates, before reducing them to the familiar forms of Cosserat continuum in Cartesian coordinates. It showcases this way that the motor calculus approach has the same information as the classical representation as a limiting case, but can be used in a generic framework. It finishes with the integrability, compatibility and discontinuity conditions for the considered representation.
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Vardoulakis, I. (2019). Cosserat Continuum Kinematics. In: Cosserat Continuum Mechanics . Lecture Notes in Applied and Computational Mechanics, vol 87. Springer, Cham. https://doi.org/10.1007/978-3-319-95156-0_3
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DOI: https://doi.org/10.1007/978-3-319-95156-0_3
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