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)


Key words

Thin shellsmembrane theorylinear shell theorydeformations

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