The Plate Paradox for Hard and Soft Simple Support

Abstract

The paper studies the plate bending problem with hard and soft simple support. It shows that in case of hard support, the plate paradox that is known to occur in the Kirchhoff model is also present in the three-dimensional model and the Reissner-Mindlin model. The paradox consists of the fact that on a sequence of convex polygonal domains converging to a circle, the solutions of the corresponding plate bending problems with a fixed uniform load to not converge to the solution of the limit problem. The paper also shows that the paradox is not present when soft simple support is assumed. Some practical aspects are briefly discussed.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1988
Accession Number
ADA207800

Entities

People

  • Ivo Babuška
  • J. Pitkaranta

Organizations

  • University of Maryland

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Communities of Interest

  • Energy and Power Technologies

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  • Boundaries
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  • Contracts
  • Elastic Properties
  • Geometry
  • Identities
  • Inequalities
  • Maryland
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  • Three Dimensional
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Readers

  • Calculus or Mathematical Analysis
  • Structural Dynamics.