Abstract
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.
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Destuynder, P. A classification of thin shell theories. Acta Appl Math 4, 15–63 (1985). https://doi.org/10.1007/BF02293490
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DOI: https://doi.org/10.1007/BF02293490