Automatised selection of load paths to construct reduced-order models in computational damage micromechanics: from dissipation-driven random selection to Bayesian optimization

Olivier Goury (1) , David Amsallem (2) , Stéphane Pierre-Alain Bordas (3) , Wing Kam Liu (4) , Pierre Kerfriden (5)

1 DEFROST - Deformable Robots Simulation Team
2 Stanford University
3 University of Luxembourg [Luxembourg]
4 Northwestern University [Evanston]
5 School of Engineering [Cardiff]

In this paper, we present new reliable model order reduction strategies for computational micromechanics. The difficulties rely mainly upon the high dimensionality of the parameter space represented by any load path applied onto the representative volume element (RVE). We take special care of the challenge of selecting an exhaustive snapshot set. This is treated by first using a random sampling of energy dissipating load paths and then in a more advanced way using Bayesian optimization associated with an interlocked division of the parameter space. Results show that we can insure the selection of an exhaustive snapshot set from which a reliable reduced-order model (ROM) can be built.

Mots clés: damage mechanics; multiscale; Hyperreduction; model order reduction; computational homogenisation; reduced basis

Domaines: Mécanique des structures [physics.class-ph]

Olivier Goury, David Amsallem, Stéphane Pierre-Alain Bordas, Wing Kam Liu, Pierre Kerfriden. Automatised selection of load paths to construct reduced-order models in computational damage micromechanics: from dissipation-driven random selection to Bayesian optimization. Computational Mechanics, 2016, 58 (2), pp.213-234. ⟨10.1007/s00466-016-1290-2⟩. ⟨hal-01302831⟩