SPP 2256:  Variational Methods for Predicting Complex Phenomena in Engineering Structures and Materials

• Subject Area: Mathematics ; Construction Engineering and Architecture ; Mechanical and Industrial Engineering ; Materials Science and Engineering
• Term: since 2020
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 422730790

The aim of the Coordination Proposal is to provide the necessary funds to the designated speaker in order to coordinate the interaction of the individual projects. The corner stone is an annual meeting at a conference site and the workshop programme that calls for three major workshops per year. Additional funds are requested for workshops that are organized mostly by the doctoral and postdoctoral researchers and for long term visitors in the individual projects. The designated speaker is supported by a secretary and a student assistant.

• DFG Programme: Priority Programmes

Projects

• A variational scale-dependent transition scheme: From Cauchy elasticity to the relaxed micromorphic continuum (Applicants Neff, Patrizio ;  Scheunemann, Lisa ;  Schröder, Jörg )
• Analysis for thermo-mechanical models with internal variables (Applicant Liero, Matthias )
• Atomistic and continuum fracture models for nanorods: equilibria and dynamics (Applicant Schmidt, Bernd )
• Coordination Funds (Applicant Dolzmann, Georg )
• Fine Properties and Applications of Thin-Sheet Folding (Applicants Bartels, Sören ;  Hornung, Peter )
• Fractal and Stochastic Homogenization using Variational Techniques (Applicant Heida, Martin )
• Geometric nonlinearities in PDEs for Cosserat elasticity: how they affect the regularity of solutions (Applicant Gastel, Andreas )
• Modeling and Analysis of Adhesion Hysteresis Between Rough Surfaces (Applicants Dondl, Patrick ;  Pastewka, Lars )
• Multiscale systems of plasticity in a data-driven perspective (Applicants Bartel, Thorsten ;  Schweizer, Ben )
• Nonlinear Fracture Dynamics: Modeling, Analysis, Approximation, and Applications (Applicants Thomas, Marita ;  Weinberg, Kerstin ;  Wieners, Christian )
• Novel Approaches for the Multidimensional Convexification of Inelastic Variational Models for Fracture (Applicants Balzani, Daniel ;  Peter, Malte Andreas ;  Peterseim, Daniel )
• Pinning and Relaxation of Dislocations in Continuum and Atomistic Models (Applicants Dondl, Patrick ;  Pastewka, Lars )
• Rate-independent systems in solid mechanics and their coupling with other dissipative systems (Applicants Knees, Dorothee ;  Mosler, Jörn )
• Regularity and Scaling of Wild Microstructures in the Modelling of Shape-Memory Alloys (Applicant Rüland, Angkana )
• Robust structures in compliance minimization (Applicants Bella, Peter ;  Wirth, Benedikt )
• Variational Formulations in the Non-Isothermal Thermo-Chemo-Mechanics of Nonlinear Materials: Co-Design of Theoretical Model Development and Parallel Solvers - Phase 2 (Applicants Kiefer, Ph.D., Björn ;  Rheinbach, Oliver )
• Variational model order reduction for the prediction of plastic events in disordered materials (Applicants Bamer, Franz ;  Stamm, Benjamin )
• Variational modeling of parameter-dependent plasticity - relaxation approaches and numerical concepts (Applicants Dolzmann, Georg ;  Hackl, Klaus )
• Variational modelling of fracture in high-contrast microstructured materials: mathematical analysis and computational mechanics (Applicants Schneider, Matti ;  Zeppieri, Caterina Ida )
• Variational quantitative phase-field modeling and simulation of powder bed fusion additive manufacturing (Applicants Brunk, Aaron ;  Xu, Bai-Xiang )

• Spokesperson: Professor Dr. Georg Dolzmann