Mathematical models for quantifying flexible multilayer orthotropic shells under transverse shear stresses

In this work, a mathematical model of multilayer orthotropic shells with the account of both the 3rd-order generalized model (the so-called Grigoluk-Kulikov model) and a temperature field is presented. An asymptotically stable modified model is proposed. The reported conservative difference schemes associated with the considered models are developed based on the variational-difference method. The stability of a symmetric/non-symmetric pack of layers is addressed. In particular, the influence of the number of layers on the shell stability properties is illustrated and discussed.