Axially Symmetric Deformations of Thin Flexible Multi-layered Shells of Revolution

Abstract

Large axisymmetric deflections of thin elastic multi-layered shells of revolution are studied. By using a variational principle for the three-dimensional non-linearly elastic body, the constitutive relations for a two-dimensional shell theory are derived. By using asymptotic expansions the problem of the shell deformations under axial force is solved. The dependence of the limiting point on the shell geometry and on the elastic parameters is obtained. As an example the two-layered shell is examined.