Mester, Leonie2024-09-052024-09-052024-09-05https://opara.zih.tu-dresden.de/handle/123456789/908https://doi.org/10.25532/OPARA-606This contribution contains the data for the presented numerical examples in the dissertation "Computational Homogenisation and Multiscale Modelling Employing an Image-based Approach for the Structural Analysis of Shells." by L. Mester (2024). Abstract of dissertation: "Shell structures represent efficient structural systems. Integrating materials with distinct properties, such as composites, can further enhance the structural performance of shells. These composite shell structures find application in various engineering fields, ranging from aerospace to civil engineering, providing a balance between strength and material consumption. Identifying the optimum designs, particularly in terms of load-bearing capacity and suitability, drives the need for accurate and efficient analysis methods accounting for the intricate material behaviour of composites. In the scope of this work, a first-order homogenisation method for the analysis of shell structures, taking into account a detailed description of the microstructure, is proposed. The method allows the simulation of the structural behaviour at different length scales within a single framework. Thus, providing an approach able to capture the microscopic morphology while being computationally efficient. Although homogenisation methods are widely used and thoroughly investigated for three-dimensional problems, their application to structural elements, such as shells, still poses challenges. Specifically, assessing the homogenised shear stiffness often yields inaccurate results. The main focus is on the coupling of the microscopic representative volume element (RVE) to the macroscopic shell formulation. For this purpose, three different boundary conditions for the RVE are presented. These differ mainly in the treatment of the macroscopic shear strain and impose different symmetry requirements on the RVE. Introducing an additional constraint at the microscopic scale corrects the homogenised shear stiffness components. Using linear-elastic benchmark examples, the approach is validated at the microscopic scale and further evaluated using multiscale examples, including geometrical and physical nonlinearities. In the context of civil engineering, the proposed method is applied to examine carbon reinforced concrete shell structures. Image-based methods are used to capture the microscopic structure with high accuracy. The aim of this work is to combine a numerical analysis method with an accurate internal description to allow for the evaluation of novel production techniques and structural designs of, but not limited to, carbon-reinforced concrete shell structures." This data has further been published within the (open-access) contribution: Mester, L., Klarmann, S. & Klinkel, S. Homogenization assumptions for the two-scale analysis of first-order shear deformable shells. Comput Mech 73, 795–829 (2024). https://doi.org/10.1007/s00466-023-02390-zAttribution-NonCommercial-ShareAlike 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-sa/4.0/4::45"Computational Homogenisation and Multiscale Modelling Employing an Image-based Approach for the Structural Analysis of Shells." - Data corresponding to publication