Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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Existence and uniqueness for the linear Koiter model for shells with little regularity


Authors: Adel Blouza and Hervé Le Dret
Journal: Quart. Appl. Math. 57 (1999), 317-337
MSC: Primary 74K25; Secondary 74G25, 74G30
DOI: https://doi.org/10.1090/qam/1686192
MathSciNet review: MR1686192
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Abstract | References | Similar Articles | Additional Information

Abstract: We give a simple proof of existence and uniqueness of the solution of the Koiter model for linearly elastic thin shells whose midsurfaces can have charts with discontinuous second derivatives. The proof is based on new expressions for the linearized strain and change of curvature tensors. It also makes use of a new version of the rigid displacement lemma under hypotheses of regularity for the displacement and the midsurface of the shell that are weaker than those required by earlier proofs.


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DOI: https://doi.org/10.1090/qam/1686192
Article copyright: © Copyright 1999 American Mathematical Society


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