Multiscale systems of plasticity in a data-driven perspective

• Applicants: Dr.-Ing. Thorsten Bartel; Professor Dr. Ben Schweizer
• Subject Area: Mathematics ; Mechanics
• Term: since 2020
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 440942664

The project aims at the further development and further analysis of a data-driven scheme for a time dependent problem. In particular, the scheme which was suggested in the first funding period is to be applied to two-scale homogenization problems in plasticity. We want to compare the scheme in this setting with FE$^2$-methods and develop it along these lines; one far-set goal is to formulate a data driven FE$^2$-method. We newly include outlier analysis in this project: With the aim of understanding better the behavior of the scheme for a data set with an outlier, we investigate the analytical problem of relaxed data sets for a single outlier. Further research directions include rate-dependent systems and, possibly, strain gradient plasticity.

• DFG Programme: Priority Programmes
• Subproject of: SPP 2256: Variational Methods for Predicting Complex Phenomena in Engineering Structures and Materials