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Plates and layered media

  • Chapter
Very Slow Flows of Solids

Part of the book series: Mechanics of Fluids and Transport Processes ((MFTP,volume 7))

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Abstract

The deformation of a plate or a shell may produce large displacements, although the strains remain small. Intuitively, we must distinguish the case of plates, cylinders, and more generally, developable surfaces that may deform in plane strain or stress from the case of non-developable surfaces (called shells in mechanics), for which the problem is always three-dimensional. Only thin plates deforming in plane strain or stress, in an (x’-z’) plane, will be considered here. In this context, “thin” means that the radius of curvature of the plate always remains very large with respect to its thickness (denoted h). In this cáse, approximate equilibrium equations, that involve integrals through the whole thickness of the plate, can be written to replace the usual stress equations.

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Authors and Affiliations

  1. University of Grenoble I, Grenoble, France

    Louis A. Lliboutry (Professor of Geophysics)

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  1. Louis A. Lliboutry
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© 1987 Martinus Nijhoff Publishers, Dordrecht

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Lliboutry, L.A. (1987). Plates and layered media. In: Very Slow Flows of Solids. Mechanics of Fluids and Transport Processes, vol 7. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-3563-1_12

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  • DOI: https://doi.org/10.1007/978-94-009-3563-1_12

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-8094-1

  • Online ISBN: 978-94-009-3563-1

  • eBook Packages: Springer Book Archive

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