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On Consistent Second-Order Plate Theories

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Theories of Plates and Shells

Part of the book series: Lecture Notes in Applied and Computational Mechanics ((LNACM,volume 16))

Abstract

In his pioneering work, Kirchhoff [4] established the so-called classical plate theory. With a set of (partly self-contradictory) a priori assumptions and the concepts of ersatz-shear forces as well as corner forces, Kirchhoffs theory delivers accurate results for thin plates undergoing small deformations. In a series of papers, Reissner [ 10-12] extended the theory in considering effects of shear deformations and stresses acting transversely to the plate mid-surface. The refinement of plate theories in various directions is a subject of still ongoing research. Some of the latest achievements are collected in a special issue of ZAMP [ 14] dedicated to Eric Reissner.

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References

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Kienzler, R. (2004). On Consistent Second-Order Plate Theories. In: Kienzler, R., Ott, I., Altenbach, H. (eds) Theories of Plates and Shells. Lecture Notes in Applied and Computational Mechanics, vol 16. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-39905-6_11

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  • DOI: https://doi.org/10.1007/978-3-540-39905-6_11

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-05904-9

  • Online ISBN: 978-3-540-39905-6

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