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On the Sapondzhyan-Babuska Paradox

Abstract

We consider the Lame form of the elasticity system and demonstrate the famous paradox, which can be obtained by the limit passage in the polygonal plates with very small sides as the length of sides goes to zero. The phenomenon is that boundary conditions in the original problem and the limit problem are different. We provide the asymptotic and numerical analysis for the approximation of displacements, energies and moments, demonstrating the paradox.

Category

Academic article

Language

English

Author(s)

  • Gregory A. Chechkin
  • Dag Lukkassen
  • Annette Meidell

Affiliation

  • SINTEF Narvik
  • UiT The Arctic University of Norway

Year

2008

Published in

Applicable Analysis

ISSN

0003-6811

Volume

87

Issue

12

Page(s)

1443 - 1460

View this publication at Norwegian Research Information Repository