This paper studies elasto-plastic large deformation behavior of thin shell structures using the isogeometric computational approach with the main focus on the efficiency in modelling the multi-patches and arbitrary material formulations. In terms of modelling, we employ the bending strip method to connect the patches in the structure. The incorporation of bending strips allows to eliminate the strict demand of the C1 continuity condition, which is postulated in the Kirchhoff-Love theory for thin shell, and therefore it enables us to use the standard multi-patch structure even with C0 continuity along the patch boundaries. Furthermore, arbitrary nonlinear material models such as hyperelasticity and finite strain plasticity are embedded in the shell formulation, from which a unified thin shell formulation can be achieved. In terms of analysis, the Bezier decomposition concept is used to retain the local support of the traditional finite element. The performance of the presented approach is verified through several numerical benchmarks.
翻译:本文采用等几何计算方法研究薄壳结构的弹塑性大变形行为,重点关注多片域建模效率与任意材料构型的实现。在建模方面,采用弯曲条带法连接结构中的片域。弯曲条带的引入消除了Kirchhoff-Love薄壳理论中要求的严格C1连续性条件,从而允许沿片域边界仅满足C0连续性的标准多片结构。此外,将超弹性与有限应变塑性等任意非线性材料模型嵌入壳体构型中,实现了统一的薄壳构型表达。在分析方面,采用Bézier分解概念保留传统有限元的局部支撑特性。通过若干数值基准算例验证了所提出方法的有效性。