• Philippe G Ciarlet

      Articles written in Proceedings – Mathematical Sciences

    • Existence theory for linearly elastic shells

      Philippe G Ciarlet

      More Details Abstract Fulltext PDF

      We review existence and uniqueness results, recently obtained for three of the most important linear two-dimensional shell models: Koiter’s model, the bending model and the membrane model. They rely on a crucial lemma of J L Lions, used in an essential way for establishing in each case a generalized Korn’s inequality, which is then combined with a generalized rigid displacement lemma of a geometrical nature.

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