Nonlinear Shell Models of Kirchhoff-Love Type : Existence Theorem and Comparison with Koiter’s Model

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Original languageEnglish
Pages (from-to)3-27
Number of pages25
Journal / PublicationActa Mathematicae Applicatae Sinica
Issue number1
Publication statusPublished - Jan 2019
Externally publishedYes


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.

Research Area(s)

  • Asymptotics, Existence Theory, Kirchhoff-Love, Koiter, Nonlinearly Elastic Shells