• Existence theory for linearly elastic shells

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      https://www.ias.ac.in/article/fulltext/pmsc/104/01/0269-0278

    • Keywords

       

      Linearly elastic shells; bending shell model; membrane shell model; Koiter’s model

    • Abstract

       

      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.

    • Author Affiliations

       

      Philippe G Ciarlet1

      1. Laboratoire d Analyse Numerique, Tour 55 Université Pierre et Marie Curie, 4 Place Jussieu, Paris - 75005, France
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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