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Justification of a two-dimensional linear shell model of Koiter’s type. (English) Zbl 1251.35164

Summary: Motivated by Ciarlet’s research work on the two-dimensional non-linear shell model of Koiter’s type, we propose a new two-dimensional linear shell model of Koiter’s type, in which the flexural part is different from the classical two-dimensional linear Koiter’s shell model. As the thickness of the shell goes to zero, using the corresponding Korn’s inequality, we obtain a justification of the two-dimensional linear shell model of Koiter’s type by the method of the asymptotic analysis.

MSC:

35Q74 PDEs in connection with mechanics of deformable solids
74K25 Shells
74H10 Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics
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