Colloquium Stéphane Bordas

09 mei
10:30 - 13:00
TU/e Campus, Helix building, room STO 4.91
Eindhoven Multiscale Instituut

Multi-scale methods for fracture: model learning across scales, digital twinning and factors of safety

Fracture and material instabilities originate at spatial scales much smallerthan that of the structure of interest: delamination, debonding, bre break-age, cell-wall buckling, are examples of nano/micro or meso-scale mechanismswhich can lead to global failure of the material and structure. Such mech-anisms cannot, for computational and practical reasons, be accounted atstructural scale, so that acceleration methods are necessary.We review in this presentation recently proposed approaches to reducethe computational expense associated with multi-scale modelling of frac-ture. In light of two particular examples, we show connections betweenalgebraic reduction (model order reduction and quasi-continuum methods)and homogenisation-based reduction.We open the discussion towards suitable approaches for machine-learningand Bayesian statistical based multi-scale model selection. Such approachescould fuel a digital-twin concept enabling models to learn from real-time dataacquired during the life of the structure, accounting for \real" environmentalconditions during predictions, and, eventually, moving beyond the era offactors of safety.