Abstract
This paper focuses on the higher-order shell theory, which permits the use of 3D constitutive equations. It is based on the new concept of sampling surfaces (S-surfaces) inside the shell body. According to this concept, we introduce N not equally located S-surfaces parallel to the middle surface and choose displacements of these surfaces as fundamental shell unknowns. Such choice allows us to represent the higher-order shell formulation in a compact form and to derive strain-displacement equations, which are invariant under all rigid-body shell motions.
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Acknowledgements
This work was supported by Russian Ministry of Education and Science (Grant No 2.1.1/10003) and Russian Foundation for Basic Research (Grant No 08–01–0373).
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© 2011 Springer-Verlag Berlin Heidelberg
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Kulikov, G.M., Plotnikova, S.V. (2011). On the Use of a New Concept of Sampling Surfaces in Shell Theory. In: Altenbach, H., Eremeyev, V. (eds) Shell-like Structures. Advanced Structured Materials, vol 15. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21855-2_47
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DOI: https://doi.org/10.1007/978-3-642-21855-2_47
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