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cs.CE2024
A time-adaptive finite element phase-field model suitable for rate-independent fracture mechanics
Felix Rörentrop, Samira Boddin, Dorothee Knees +1
The modeling of cracks is an important topic - both in engineering as well as in mathematics. Since crack propagation is characterized by a free boundary value problem (the geometr…
cs.CE2023
Rate-Independent Gradient Crystal Plasticity Theory -- Robust Algorithmic Formulations based on Incremental Energy Minimization
Volker Fohrmeister, Jörn Mosler
Numerically robust algorithmic formulations suitable for rate-independent crystal plasticity are presented. They cover classic local models as well as gradient-enhanced theories in…
cs.CE2023
Incorporating sufficient physical information into artificial neural networks: a guaranteed improvement via physics-based Rao-Blackwellization
Gian-Luca Geuken, Jörn Mosler, Patrick Kurzeja
The concept of Rao-Blackwellization is employed to improve predictions of artificial neural networks by physical information. The error norm and the proof of improvement are transf…