Abstract
This work is a generalization to shallow shell models of previous results for plates by B. Miara (1989). Using the same basis functions as in the plate case, we construct a Galerkin approximation of the three-dimensional linearized elasticity problem, and establish some error estimates as a function of the thickness, the curvature, the geometry of the shell, the forces and the Lamé costants.
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Communicated by P. G. Ciarlet, January 23, 1992
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Figueiredo, I.N., Trabucho, L. A Galerkin approximation for linear elastic shallow shells. Computational Mechanics 10, 107–119 (1992). https://doi.org/10.1007/BF00369855
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DOI: https://doi.org/10.1007/BF00369855