A LATIN-based model reduction approach for the simulation of cycling damage

Mainak Bhattacharyya (1) , Amélie Fau (1) , Udo Nackenhorst (1) , David Néron (2) , Pierre Ladevèze (2)

1 Leibniz Universität Hannover=Leibniz University Hannover
2 LMT - Laboratoire de Mécanique et Technologie

The objective of this article is to introduce a new method including model order reduction for the life prediction of structures subjected to cycling damage. Contrary to classical incremental schemes for damage computation, a non-incremental technique, the LATIN method, is used herein as a solution framework. This approach allows to introduce a PGD model reduction technique which leads to a drastic reduction of the computational cost. The proposed framework is exemplified for structures subjected to cyclic loading, where damage is considered to be isotropic and micro-defect closure effects are taken into account. A difficulty herein for the use of the LATIN method comes from the state laws which can not be transformed into linear relations through an internal variable transformation. A specific treatment of this issue is introduced in this work.

Mots clés: LATIN method; Proper Generalised Decomposition; Damage; Reduced order model; Non-linear solid mechanics

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

Mainak Bhattacharyya, Amélie Fau, Udo Nackenhorst, David Néron, Pierre Ladevèze. A LATIN-based model reduction approach for the simulation of cycling damage. Computational Mechanics, 2018, 62 (4), pp.725-743. ⟨10.1007/s00466-017-1523-z⟩. ⟨hal-01832347⟩