Accurate Multilayered Shell Buckling Analysis via the Implicit-Mesh Discontinuous Galerkin Method

A novel formulation for the linear buckling analysis of multilayered shells is presented. High-order equivalent-single-layer shell theories based on through-the-thickness expansion covariant components displacement field are employed. The novelty regards governing equations solution via implicit-mesh discontinuous Galerkin method. It a high-order accurate numerical technique representation among mesh elements and use suitably defined boundary integrals to enforce continuity at inter-element interfaces as well conditions. Owing its nature, it can be naturally employed with nonconventional meshes. In this work, combined implicitly technique, whereby modeling domain constructed by intersecting an easy-to-generate background grid level set function representing cutouts. Several examples considered loads plates modeled different characterized various materials, geometry, conditions, obtained results compared literature finite-element solutions, they demonstrate accuracy robustness proposed approach.