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On the asymptotic theory of plates

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Summary

Twodimensional equations for elastic plates, in static deformation and of arbitrary thickness, are derived, using formal solutions for the dependence of the threedimensional displacements and stresses on the coordinate across the plate. Without further assumptions, these solutions may be expanded with respect to the plate thickness, to yield approximate twodimensional plate problems of any desired order.

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Authors and Affiliations

  1. Max-Planck-Institut für Strömungsforschung, Böttingerstrasse 4-8, D-3400, Göttingen, Federal Republic of Germany

    G. Zimmermann

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  1. G. Zimmermann
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Zimmermann, G. On the asymptotic theory of plates. Acta Mechanica 50, 49–58 (1983). https://doi.org/10.1007/BF01170440

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  • DOI: https://doi.org/10.1007/BF01170440

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