Computational Homogenization and Multi-Scale Modelling Employing an Image-Based Approach for the Structural Analysis of Shells
This project focusses on the in-silico design of thin, curved carbon-fibre reinforced concrete shell structures using the finite element method (FEM). With respect to efficiency, especially shell elements are suitable. In the scope of this project a numerical multi-scale model is to be developed. By homogenization of a representative volume element, which is able to incorporate shell kinematics (SRVE), the modelling of the carbon-fibre reinforcement and the use of 3D material laws is possible. To allow for geometrical and physical nonlinearities a coupled multi-scale method is used for calculation (FE2-method).
To reduce the numerical cost a new formulation based on the scaled-boundary finite element method (SBFEM) is used. The geometry is described using NURBS-based shape functions. This results in an isogeometric analysis for scaled boundaries (SBIGA).
Imaging techniques are used to create and validate the model. Using Level-Set or Marching-Cubes algorithms the surface description of the carbon-fibre rovings and the concrete are extracted from CT data. Using the above-mentioned element formulation, a numerical model of the structure is obtained.
Associated with the project C03 is the supplementary project C03*: Computational Homogenization and Multi-Scale Modelling Employing an Image-Based Approach for the Structural Analysis of Shells.
Mester, L.; Klarmann, S.; Klinkel, S. (2021) A homogenisation approach for shell structures using scaled boundary isogeometric analysis on RVE-level in Proc. Appl. Math. Mech. 21:1 – Special Issue: 92nd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), 15.–19.03.2021 in Kassel, paper no. e202100157, 2 pages – https://doi.org/10.1002/pamm.202100157
Chasapi, M.; Mester, L.; Simeon, B.; Klinkel, S. (2021) Isogeometric analysis of 3D solids in boundary representation for problems in nonlinear solid mechanics and structural dynamics in Int J Numer Methods Eng, p.1–25 – DOI: 10.1002/nme.6893