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Mathematics and Mechanics of Solids
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Two-Dimensional Models of Linearly Elastic Shells: Error Estimates between Their Solutions

Cristinel Mardare

Laboratoire d'Analyse Nume'rique, Tour 55, Universite Pierre-et-Marie-Curie, 4, place Jussieu, 75005 Paris, France

The author considers a family of linearly elastic shells, all having the same middle surface that is assumed to be elliptic. Under some regularity assumptions on the data, the author gives an error estimate between the solution of Koiter's model and the solution of a two-dimensional membrane shell problem. The proof uses a corrector method.

Mathematics and Mechanics of Solids, Vol. 3, No. 3, 303-318 (1998)
DOI: 10.1177/108128659800300304
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