5 papers
A Regularized Ensemble Kalman Filter for Stochastic Phase Field Models of Brittle Fracture
Lucas Hermann, Ralf Jänicke, Knut Andreas Meyer +1
The phase-field approach to brittle fracture provides a continuum framework for modeling crack initiation and propagation without explicit representation of discrete crack surfaces…
Uncertainty quantification in model discovery by distilling interpretable material constitutive models from Gaussian process posteriors
David Anton, Henning Wessels, Ulrich Römer +2
Constitutive model discovery refers to the task of identifying an appropriate model structure, usually from a predefined model library, while simultaneously inferring its material…
Deterministic and statistical calibration of constitutive models from full-field data with parametric physics-informed neural networks
David Anton, Jendrik-Alexander Tröger, Henning Wessels +3
The calibration of constitutive models from full-field data has recently gained increasing interest due to improvements in full-field measurement capabilities. In addition to the e…
Mechanical State Estimation with a Polynomial-Chaos-Based Statistical Finite Element Method
Vahab Narouie, Henning Wessels, Fehmi Cirak +1
The Statistical Finite Element Method (statFEM) offers a Bayesian framework for integrating computational models with observational data, thus providing improved predictions for st…
Gaussian Processes enabled model calibration in the context of deep geological disposal
Lennart Paul, Jorge-Humberto Urrea-Quintero, Umer Fiaz +5
Deep geological repositories are critical for the long-term storage of hazardous materials, where understanding the mechanical behavior of emplacement drifts is essential for safet…