In this work, a refined model is superimposed on a simple one only in a region of interest to improve the accuracy of the modeling of composite beam structures. The purpose is to concentrate the computational effort in a localized zone without loss of local precision. Outside the region of interest is modelized using a simple cheap model. The present approach is based on the Partition Unity Method (PUM) to ensure the continuity condition on the displacement field. Two refined models based on the Sinus model are used to demonstrate the capability of the method. Each of the kinematics needs a suitable Finite Element (FE) approximation. The method is assessed on numerical examples involving both homogeneous and laminated beams. The results are compared with reference solutions and computations using a mono-model. The computational cost is also evaluated to show the interest of the method. The results are very promising.

在这项工作中，仅在感兴趣的区域将精细模型叠加在简单模型上，以提高组合梁结构建模的准确性。目的是将计算工作集中在局部区域而不损失局部精度。使用简单的廉价模型对感兴趣区域之外的区域进行建模。本方法基于分区统一方法（PUM）来确保位移场的连续性条件。使用基于正弦模型的两个改进模型来证明该方法的能力。每个运动学都需要合适的有限元 (FE)近似。该方法通过涉及均质梁和叠层梁的数值例子进行了评估。将结果与参考解决方案和使用单一模型的计算进行比较。还评估了计算成本以显示该方法的兴趣。结果非常有希望。