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On the Reissner theory of bending of flastic plates

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Abstract

The Reissner equations of elastic plates are rederived on the bases of the incomplete generalized variational principle of Complementary energy. The Stress function ψ is naturally obtained from the variational Calculation in the form of Lagrange multiplier. The stucture of solutions of the Reissner equations is thus defined. On the bases of these discussions, a simplified theory has been put forward, in which the equations of equilibrium involving the shearing influence can be reduced into a fourth order differential equation similar to those of the Classical theory of plates.

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Authors and Affiliations

  1. Mathematics and Mechanics Department of Langchow University, Langchow, China

    Miao Tiande & Cheng Chang Jun

Authors
  1. Miao Tiande
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  2. Cheng Chang Jun
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Tiande, M., Chang Jun, C. On the Reissner theory of bending of flastic plates. Appl Math Mech 1, 231–246 (1980). https://doi.org/10.1007/BF01876747

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  • DOI: https://doi.org/10.1007/BF01876747

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