A hybrid Sampling-Stochastic-Finite-Element-Method for polymorphic, microstructural uncertainties in heterogeneous materials

Third Party Funds Group - Sub project

Overall project details

Overall project: SPP 1886: Polymorphic uncertainty modelling for the numerical design of structures

Project Details

Project leader:
Prof. Dr.-Ing. Paul Steinmann
Prof. Dr.-Ing. Kai Willner

Contributing FAU Organisations:
Lehrstuhl für Technische Mechanik
Professur für Strukturmechanik

Funding source: DFG / Schwerpunktprogramm (SPP)
Start date: 01/01/2016
End date: 31/03/2020

Research Fields

Material Mechanics
Lehrstuhl für Technische Mechanik
Uncertainty Quantification
Lehrstuhl für Technische Mechanik

Abstract (technical / expert description):

The overarching goal of the proposed project at the methodological side is to establish a computationally tractable numerical method that is suited to capture polymorphic uncertainties in large-scale problems (as arising from the numerical analysis of heterogeneous materials microstructures). On the one hand the method will allow for fuzzy probability distributions of the random parameters (describing a microstructures geometry) and on the other hand the method will be based on only a few reduced basis modes. These ingredients will enable to capture epistemic uncertainties in addition to aleatoric uncertainties in a computationally accessible manner. The overarching goal of the proposed project at the application side is to establish a non-deterministic macroscopic material model. On the one hand the model accounts for the heterogeneity of the underlying material's microstructure by computational homogenization, and on the other hand it captures polymorphic uncertainties in the geometry description of the microstructure. The non-deterministic macroscopic material model then represents the necessary input for the mechanical design of macroscopic (engineering) structures under due consideration of polymorphic uncertainties in the heterogeneous materials microstructure.

Last updated on 2018-22-11 at 18:01