Acta Applicandae Mathematica

, Volume 4, Issue 1, pp 15–63

A classification of thin shell theories

  • Philippe Destuynder

DOI: 10.1007/BF02293490

Cite this article as:
Destuynder, P. Acta Appl Math (1985) 4: 15. doi:10.1007/BF02293490


This paper gives a modern mathematical analysis of the relationships between several, different linear shell theories. It also discusses the asymptotic role played by membrane theory. It presents theorems on the existence and uniqueness of solutions of membrane equations depending on the concavity of the surface.

AMS (MOS) subject classification (1980)

34E05 35A05 73K15 73L05 

Key words

Thin shells membrane theory linear shell theory deformations 

Copyright information

© D. Reidel Publishing Company 1985

Authors and Affiliations

  • Philippe Destuynder
    • 1
  1. 1.CNRS U.A. 850Laboratoire de Mécanique des Milieux Continus, Ecole Centrale de ParisChatenay-MalabryFrance

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