Non-linear theory of laminated shells accounting for continuity conditions of displacements and tractions at layer interfaces (Q1804414)

The paper derives the theory of laminated anisotropic shells with an arbitrary number of layers. This model satisfies the continuity condition for displacements and tractions at layer interfaces. An approximation of the displacement field is chosen in such a way that the governing equation contains only five independent functions. Geometrically nonlinear cases are incorporated by the corresponding quadratic terms in the strain tensor. In order to assess the accuracy of the theory, numerical tests are performed in two special cases with known exact solutions of the three-dimensional equations.