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A simple energetic explanation of the polygon-circle paradox for classical (Kirchhoff) plate theory

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Publication:976822
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DOI10.1007/s10659-010-9240-2zbMath1188.74035OpenAlexW1970444042MaRDI QIDQ976822

James G. Simmonds

Publication date: 16 June 2010

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10659-010-9240-2


zbMATH Keywords

plate theorypolygon-circle paradox


Mathematics Subject Classification ID

Plates (74K20) Energy minimization in equilibrium problems in solid mechanics (74G65)


Related Items (3)

Can we really solve an arch stability problem? ⋮ The Rayleigh and Courant variational principles in the six-parameter shell theory ⋮ On Null-Lagrangian Energy and Plate Paradoxes



Cites Work

  • A primer in elasticity
  • The Plate Paradox for Hard and Soft Simple Support
  • The Bending and Stretching of Plates




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