Abstract
We define two nonlinear shell models whereby the deformation of an elastic shell with small thickness minimizes ad hoc functionals over sets of admissible deformations of Kirchhoff-Love type. We establish that both models are close in a specific sense to the well-known nonlinear shell model of W.T. Koiter and that one of them has a solution, by contrast with Koiter’s model for which such an existence theorem is yet to be proven.
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This paper is dedicated to Professor Philippe G. Ciarlet on the occasion of his 80th birthday.
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Mardare, C. Nonlinear Shell Models of Kirchhoff-Love Type: Existence Theorem and Comparison with Koiter’s Model. Acta Math. Appl. Sin. Engl. Ser. 35, 3–27 (2019). https://doi.org/10.1007/s10255-019-0800-3
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DOI: https://doi.org/10.1007/s10255-019-0800-3