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Analytic Solution for an Enhanced Theory of Bending of Plates

  • Radu Mitric
  • Christian Constanda

Abstract

Let S be a domain in ℝ2 bounded by a simple closed C 2-curve ∂S, and let h 0 = const be such that 0 < h 0 ≪ diam S. By a thin plate we understand an elastic body that occupies the region \( \bar S x [ - h_0 /2,h_0 /2]; \); here h 0 is called the plate thickness. We denote by x = (x 1, x 2) a generic point in ℝ2, and write z = x 1 + ix 2 ∈ ℂ, ∂α = ∂/∂x α, α = 1,2, and ∂ z = ∂/∂z. Also, we denote by S + and S - the domains interior and exterior to ∂S, respectively.

Keywords

Displacement Boundary Finite Energy Vertical Translation Domain Interior Rigid Displacement 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    R. Mitric and C. Constanda, An enhanced theory of bending of plates, in Integral Methods in Science and Engineering, Birkhäuser, Boston, 2002, 191–196.CrossRefGoogle Scholar
  2. 2.
    N.I. Muskhelishvili, Some basic problems in the mathematical theory of elasticity, 3rd ed., P. Noordhoff, Groningen, 1949.Google Scholar

Copyright information

© Springer Science+Business Media New York 2004

Authors and Affiliations

  • Radu Mitric
  • Christian Constanda

There are no affiliations available

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