Abstract
The direct approach for plates is based on Cosserat continuum theory, or rather on the Cosserat surface. The same principles as used in classical continuum mechanics are applied whereby a restriction to two-dimensional body manifolds is imposed. At the same time independent rotational degrees of freedom are introduced. Pavel Andreevich Zhilin then proposed a reduced treatment that is widely used in engineering, especially in composite mechanics. However, the approach still lacks important extensions to include significant quantities influencing the mechanical behaviour. These quantities result from moisture exposure, temperature changes and initial tense in the material. We here delineate extensions based on physical justifications while discussing three-dimensional causation and two-dimensional impact. A resulting set of equations for the combined loading is derived and discussed.
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Aßmus, M., Javanbakht, Z., Altenbach, H. (2023). The Direct Approach for Plates Considering Hygrothermal Loading and Residual Kinetics. In: Altenbach, H., Berezovski, A., dell'Isola, F., Porubov, A. (eds) Sixty Shades of Generalized Continua. Advanced Structured Materials, vol 170. Springer, Cham. https://doi.org/10.1007/978-3-031-26186-2_3
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