Solution of Physically Nonlinear Problems of the Theory of Orthotropic Shells Using Mixed Functionals

Variants of the theory of nonlinearly elastic orthotropic shells are outlined depending on the relations between the parameters of their composite materials. The corresponding mixed linearized functionals are constructed. A system of resolvent equations that is adjusted to a specific variant of the theory with the help of special matrices is derived. The results of a strain analysis of a cylindrical shell with an opening for four variants of the theory are compared with experimental data