Abstract
A unified access to dynamics of structures is presented. It is based on the idea of a Cosserat continuum which can be three, two- or one-dimensional. In the three dimensional case we can capture scale effects relevant to failure and stress singularities. In the two- and one-dimensional cases we arrive at shell and rod theories derived under the same umbrella. The development of stable energy-momentum integration schemes is key to capture the dynamics for large simulation times. Examples are presented to underline the suggested methodology. The formulations can be extended to capture anisotropies of fibre reinforced materials as well as for coupled systems.
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Sansour, C., Nguyen, T.L., Hjiaj, M. (2018). From 3-D to 1-D Generalised and Cosserat Continua for Structural Dynamics - Energy-Momentum Methods. In: Tran-Nguyen, HH., Wong, H., Ragueneau, F., Ha-Minh, C. (eds) Proceedings of the 4th Congrès International de Géotechnique - Ouvrages -Structures. CIGOS 2017. Lecture Notes in Civil Engineering , vol 8. Springer, Singapore. https://doi.org/10.1007/978-981-10-6713-6_3
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DOI: https://doi.org/10.1007/978-981-10-6713-6_3
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