Uncertainties in microstructural data

The behaviour of natural, artificial and tailored materials is governed by underlying parameters, which are subject to specific uncertainties. In many applications, one is interested in the stability and the failure probability of different materials under certain stress situations which can be described by a PDE. Due to uncertainties, for example in measurement or incorrect data, these models have to involve stochastic coefficients which are in general discontinuous in space and in time. We aim to use such a modeling approach to describe failure characteristics of micro heterogeneous solids. This approach raises many challenges on the theoretical side (e.g. stochastic microstructure modeling) as well as on the practical side (e.g. efficient sampling strategies and PDE solvers) which we aim to overcome by building an appropriate theoretical fundament for the stochastic modeling and develop innovative solver techniques.

For further information please contact Robin Merkle