Project description
The project will provide a data-integrated multiscale framework for the continuum-mechanical modeling of porous media. A particular focus will be on theory and numerics of variational scale-bridging techniques for diffusion-driven problems in consideration of large deformations. With such a multiscale framework, we aim at the data-based analysis and optimization of porous microstructures with regard to their overall hydro-mechanical properties. One of our major goals is to provide a data-analytics based approach to instability prediction. Instabilities play a crucial role in materials design and arise, for example, in the form of structural instabilities at micro-level. The occurrence of instabilities depends on a number of conditions including material properties, microscopic morphology and overall coupled loading. From a theoretical viewpoint, the investigation of instabilities calls for minimization-type variational principles. These will be numerically implemented in a consistent way into the multiscale framework. Critical instabilities will be revealed by Bloch-Floquet wave analysis. In order to provide efficient and reliable predictions of the associated instability phenomena, we will equip the multiscale formulation with modern tools of machine learning.
Project title | Data-driven surrogate modeling of structural instabilities in electroactive polymers |
Project leaders | Marc-André Keip (Tim Ricken) |
Project duration | January 2020 - June 2023 |
Project number | PN 3-5 |
- Follow-up project 3-5 (II)
Data-driven multi-scale stability analysis of multi-stimuli-responsive hydrogels
Publications PN 3-5 and PN 3-5 (II)
2024
- A. Krischok, B. Yaraguntappa, and M.-A. Keip, “Fast implicit update schemes for Cahn–Hilliard-type gradient flow in the context of Fourier-spectral methods,” Computer Methods in Applied Mechanics and Engineering, vol. 431, p. 117220, 2024, doi: https://doi.org/10.1016/j.cma.2024.117220.
- S. Sriram, E. Polukhov, and M.-A. Keip, “Data-driven analysis of structural instabilities in electroactive polymer bilayers based on a variational saddle-point principle,” International Journal of Solids and Structures, vol. 291, p. 112663, Apr. 2024, doi: 10.1016/j.ijsolstr.2024.112663.
- L. Werneck, M. Han, E. Yildiz, M.-A. Keip, M. Sitti, and M. Ortiz, “A simple quantitative model of neuromodulation, Part I : Ion flow neural ion channels,” Journal of the mechanics and physics of solids, vol. 182, no. January, Art. no. January, 2024, doi: 10.1016/j.jmps.2023.105457.
2023
- A. Müller, M. Bischoff, and M.-A. Keip, “Thin cylindrical magnetic nanodots revisited : Variational formulation, accurate solution and phase diagram,” Journal of magnetism and magnetic materials, vol. 586, p. 171095, 2023, doi: 10.1016/j.jmmm.2023.171095.
- E. Polukhov, L. Pytel, and M.-A. Keip, “Swelling-induced pattern transformations of periodic hydrogels : from the wrinkling of internal surfaces to the buckling of thin films,” Journal of the mechanics and physics of solids, vol. 175, no. June, Art. no. June, 2023, doi: 10.1016/j.jmps.2023.105250.
2022
- A. Kanan, E. Polukhov, M.-A. Keip, L. Dorfmann, and M. Kaliske, “Computational material stability analysis in finite thermo-electro-mechanics,” Mechanics research communications, vol. 121, no. April, Art. no. April, 2022, doi: 10.1016/j.mechrescom.2022.103867.
2021
- S. Nirupama Sriram, E. Polukhov, and M.-A. Keip, “Transient stability analysis of composite hydrogel structures based on a minimization-type variational formulation,” International Journal of Solids and Structures, vol. 230–231, p. 111080, 2021, doi: https://doi.org/10.1016/j.ijsolstr.2021.111080.
- E. Polukhov and M.-A. Keip, “Multiscale stability analysis of periodic magnetorheological elastomers,” Mechanics of Materials, vol. 159, p. 103699, 2021, doi: https://doi.org/10.1016/j.mechmat.2020.103699.
2020
- L. T. K. Nguyen, M. Rambausek, and M.-A. Keip, “Variational framework for distance-minimizing method in data-driven computational mechanics,” Computer Methods in Applied Mechanics and Engineering, vol. 365, p. 112898, 2020, doi: https://doi.org/10.1016/j.cma.2020.112898.
- E. Polukhov and M.-A. Keip, “Computational homogenization of transient chemo-mechanical processes based on a variational minimization principle,” Advanced Modeling and Simulation in Engineering Sciences, vol. 7, no. 1, Art. no. 1, Jul. 2020, doi: 10.1186/s40323-020-00161-6.
2019
- F. S. Göküzüm, L. T. K. Nguyen, and M.-A. Keip, “An Artificial Neural Network Based Solution Scheme for Periodic Computational Homogenization of Electrostatic Problems,” Mathematical and Computational Applications, vol. 24, no. 2, Art. no. 2, Apr. 2019, doi: 10.3390/mca24020040.
Data and software publications PN 3-5 and PN 3-5 (II)
- L. Werneck, E. Yildiz, M. Han, M.-A. Keip, M. Sitti, and M. Ortiz, “Ion Flow Through Neural Ion Membrane: scripts and data,” 2023. doi: 10.18419/darus-3575.