Efficient equilibrium-based stress recovery for isogeometric laminated curved structures

This work extends the stress recovery for laminated composite solid plates, proposed in [1] , [2] to curved structures. Based on 3D Isogeometric Analysis (IGA) computations and equilibrium, this procedure uses a single element through thickness combination with calibrated layer-by-layer integration rule or homogenized approach, allowing an inexpensive accurate approximation terms of in-plane stresses (and their derivatives), while through-the-thickness components are poorly approximated. Relying high-order continuity properties IGA shape functions, out-of-plane state can also be recovered by means direct equilibrium equations strong form. The posteriori step application, which is straightforward context not trivial case geometries . In fact, notion directions clear when modeling kind structures global reference system, adopting curvilinear coordinates express gives rise additional coupled that require iterative process resolve balance momentum equation. Therefore, we propose apply locally, which, despite leading more elaborated derivative because increasing geometry complexity, still allows reconstruction as resolvent system uncoupled. Several numerical results show good performance approach particularly stacks significant radius-to-thickness ratio number plies.