Most of mechanical systems and complex structures exhibit plate and shell components. Therefore, 2D simulation, based on plate and shell theory, appears as an appealing choice in structural analysis as it allows reducing the computational complexity. Nevertheless, this 2D framework fails for capturing rich physics compromising the usual hypotheses considered when deriving standard plate and shell theories. To circumvent, or at least alleviate this issue, authors proposed in their former works an in-plane-out-of-plane separated representation able to capture rich 3D behaviors while keeping the computational complexity of 2D simulations. However, that procedure it was revealed to be too intrusive for being introduced into existing commercial softwares. Moreover, experience indicated that such enriched descriptions are only compulsory locally, in some regions or structure components. In the present paper we propose an enrichment procedure able to address 3D local behaviors, preserving the direct minimally-invasive coupling with existing plate and shell discretizations. The proposed strategy will be extended to inelastic behaviors and structural dynamics.

中文翻译：

---

关于局部3D解决方案与整体2D壳理论在结构力学中的耦合

大多数机械系统和复杂结构都具有板和壳组件。因此，基于板壳理论的2D模拟在结构分析中似乎是一个吸引人的选择，因为它可以降低计算复杂度。但是，此2D框架无法捕获丰富的物理特性，从而损害了推导出标准板壳理论时要考虑的通常假设。为了规避或至少缓解此问题，作者在以前的工作中提出了一种平面内-平面间分离的表示形式，该表示形式可以捕获丰富的3D行为，同时保持2D模拟的计算复杂性。但是，该程序被发现过于累赘，无法引入现有的商业软件中。此外，经验表明，此类丰富的描述仅在本地是强制性的，在某些区域或结构组件中。在本文中，我们提出了一种能够解决3D局部行为的富集程序，该程序可以保留与现有板和壳离散化的直接微创耦合。拟议的策略将扩展到非弹性行为和结构动力学。