Abstract
Intuitively, a rod is any slender body, such as an arche, a bar, a column, etc.. In this paper, we use a mathematically precise definition of rod, as given by ERICKSEN & TRUESDELL [5] and ANTMAN [l]. We consider the so called Cosserat rod, namely a one-dimensional model given by a material curve c equipped with a collection of vectors, the directors, that deform indipendently of the curve c. Thus, the Cosserat rod is not a one-dimensional curve alone, but a model regarded as representing a three-dimensional slender body, and the directors are an effective part of the model reflecting the three-dimensional effects, as shear deformations and rotary inertia effects.
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References
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© 1987 Springer-Verlag Berlin, Heidelberg
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Pastrone, F. (1987). Wave Propagation in Elastic Rods, with Shear and Rotary Inertia Effects. In: Elishakoff, I., Irretier, H. (eds) Refined Dynamical Theories of Beams, Plates and Shells and Their Applications. Lecture Notes in Engineering, vol 28. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83040-2_18
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DOI: https://doi.org/10.1007/978-3-642-83040-2_18
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