914 Identification, Formulation, Uncertainty Quantification, and Computation of Inelastic Processes in Heterogeneous Materials

 

Heterogeneous materials are ubiquitous, both natural (e.g. rock, soil) and artificial (such as concrete, fiber-reinforced materials). Beyond the elastic range of these materials inelas-tic/irreversible processes are at the current focus of interest, as such irreversible processes occur at extreme loadings ranging from plate tectonics to micro-indentation tests for material investigation. The heterogeneity present in many instances extends over a large range of scales, frequently to scales much smaller than those of interest for a particular investigation. The inhomogeneity at sub-resolution scales often leads to incomplete knowledge and hence uncertainty and randomness at the scale of interest.
Various approaches are proposed to deal with the aforementioned situations computation-ally, and will be the focus of this session. Of particular interest are cases where heterogeneities at small scales directly initiate some large-scale behaviuor, so that the result is an amplification of the heterogeneity in inelastic/irreversible behaviour.
Hence the main topics of the invited session will include but will not be limited to:
- Mathematical formulations for heterogeneous irreversible processes
- Homogenisation
- Multi-scale formulations
- Computational multi-scale for inelastic processes like FE² and element-in-element methods
- Uncertainty quantification for heterogeneous inelastic materials
- Identification of heterogeneous materials
- non-local constitutive material laws