Two-Dimensional Nonlinear Shell Model of Koiter's Type with Variable Thickness

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Author(s)

Detail(s)

Original languageEnglish
Pages (from-to)615-638
Journal / PublicationMathematics and Mechanics of Solids
Volume8
Issue number6
Publication statusPublished - Dec 2003

Abstract

The Koiter's type model for nonelastic shells with variable thickness is discussed. Using the asymptotic analysis it was shown that as the thickness goes to zero the solution behaves like a membrane or flexural shell. The model for linear elastic shallow shells was proved by means of a generalized Korn inequality. The results show that if the applied forces are of a specific order of magnitude then the covariant components of the scaled displacement field converge.

Research Area(s)

  • Asymptotic analysis, Koiter's model, Nonlinearly elastic shells, Variable thickness

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