Computational Homogenization and Multi-Scale Modelling Employing an Image-Based Approach for the Structural Analysis of Shells (C03)

该子项目开发了一种用于碳钢筋混凝土壳体结构分析的模拟方法。重点在于其内部结构的数值均匀化。该方法允许分析大型结构，详细了解材料的内部。其特点是壳理论所需的应力合成量是通过一个代表性的体积单元来确定的，该体积单元用于基本的壳运动学，这是有待开发的。基于图像的方法用于内部结构的真实表示。由此产生的几何形状描述了一种新的比例边界有限元法。

The subproject develops a simulation method for the structural analysis of shells made of carbon reinforced concrete. The focus lies on the numerical homogenization of their interior structure. The method allows the analysis of large structures with detailed insight into the interior of the material. The special feature is that the stress-resultants required for the shell theory are determined by means of a representative volume element for the underlying shell kinematics, which is to be developed. Image-based methods are used for a realistic representation of the interior structure. The resulting geometry is described with a novel Scaled-Boundary Finite Element Method.