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Automatised selection of load paths to construct reduced-order models in computational damage micromechanics: from dissipation-driven random selection to Bayesian optimization
- Source :
- Computational Mechanics, Computational Mechanics, Springer Verlag, 2016, 58 (2), pp.213-234. ⟨10.1007/s00466-016-1290-2⟩, Computational Mechanics, 2016, 58 (2), pp.213-234. ⟨10.1007/s00466-016-1290-2⟩, Computational Mechanics. New York, NY: Springer Science & Business Media B.V (2016).
- Publication Year :
- 2016
- Publisher :
- HAL CCSD, 2016.
-
Abstract
- International audience; 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.
- Subjects :
- Multiscale
Mathematical optimization
Materials science & engineering [C09] [Engineering, computing & technology]
Computational Mechanics
Empirical Interpolation Method
Ocean Engineering
010103 numerical & computational mathematics
Parameter space
01 natural sciences
reduced basis
Homogeneisation
[PHYS.MECA.STRU]Physics [physics]/Mechanics [physics]/Structural mechanics [physics.class-ph]
Damage mechanics
Nonlinear fracture mechanics
computational homogenisation
Computational homogenisation
0101 mathematics
Mathematics
Model order reduction
Original Paper
MOR
Applied Mathematics
Mechanical Engineering
Bayesian optimization
Hyperreduction
Micromechanics
damage mechanics
Dissipation
010101 applied mathematics
Science des matériaux & ingénierie [C09] [Ingénierie, informatique & technologie]
Computational Mathematics
TA
Computational Theory and Mathematics
multiscale
model order reduction
[PHYS.MECA.STRU]Physics [physics]/Mechanics [physics]/Mechanics of the structures [physics.class-ph]
Representative elementary volume
Snapshot (computer storage)
Algorithm
Subjects
Details
- Language :
- English
- ISSN :
- 01787675 and 14320924
- Database :
- OpenAIRE
- Journal :
- Computational Mechanics, Computational Mechanics, Springer Verlag, 2016, 58 (2), pp.213-234. ⟨10.1007/s00466-016-1290-2⟩, Computational Mechanics, 2016, 58 (2), pp.213-234. ⟨10.1007/s00466-016-1290-2⟩, Computational Mechanics. New York, NY: Springer Science & Business Media B.V (2016).
- Accession number :
- edsair.doi.dedup.....07f5d1f64c4548ea34a18f417085cc5d
- Full Text :
- https://doi.org/10.1007/s00466-016-1290-2⟩