Structural optimization of multiscale problems based on numerical homogenization using FE2 method

该项目的以下目标是基于自己的仿真工具中现有的FE2实现。分析灵敏度分析将提高fe2策略处理多尺度问题的计算方法。此外，一个结构优化方法的问题，包括目标，约束和设计变量在不同的尺度将发展。该方法将应用于非线性弹性材料及其优化材料设计。该方法特别适用于不能通过微观和宏观尺度上的分离优化问题依次解决的问题。总的来说，两个尺度上的形状和材料参数都需要修改。该项目专注于在多核架构上使用OpenMP并行性进行静态问题的二维仿真模型。

The following goals of the project are based on existing FE2 realisations in own simulation tools.The computational methods of the FE2-strategy for the treatment of multi-scale problems will be enhanced by an analytical sensitivity analysis. Additionally, a structural optimization approach for problems consisting of objectives, constraints and design variables on different scales will be developed.The methodology will be applied to non-linear elastic materials and their optimal material design. The methodology is especially suited for problems which cannot be solved sequentially by separated optimisation problems on the micro- and macro-scale. Overall, the shape and the material parameters on both scales should be modified.The project focuses on two-dimensional simulation models for static problems using OpenMP parallelism on multi-core architectures.