Weakly intrusive time homogenization technique to deal with pseudo-cyclic coupled thermomechanical problems with uncertainties

Chenchen Chu (1) , Mainak Bhattacharyya (2) , David Dureisseix (1) , Béatrice Faverjon (1)

1 LaMCoS - Laboratoire de Mécanique des Contacts et des Structures [Villeurbanne]
2 LMT - Laboratoire de mécanique et technologie

This article is dedicated to the analysis of visco-plastic and damageable structures submitted to thermomechanical loadings embedding some uncertain parameters. In particular, complex time evolutions of the loadings are considered, at two different time scales. An homogenized-in-time model is used to provide kind of a surrogate model for damage evolution analysis. Then a stochastic analysis using polynomial chaos expansion with collocation can be performed. Indeed, though this is a non-intrusive approach, it belongs to the category of many-query problems, so the surrogate model allows to reduce the computational cost in order to be affordable. Focus is herein on the complex time evolutions, the considered test case is mono-dimensional, but up to 300 000 cycles are used.

Mots clés: Fatigue; Parametric uncertainty quantification; Time multiscale; Damage

Domaines: Mécanique des structures [physics.class-ph]; Matériaux et structures en mécanique [physics.class-ph]

Chenchen Chu, Mainak Bhattacharyya, David Dureisseix, Béatrice Faverjon. Weakly intrusive time homogenization technique to deal with pseudo-cyclic coupled thermomechanical problems with uncertainties. Computational Mechanics, 2020, 66 (3), pp.669-682. ⟨10.1007/s00466-020-01871-9⟩. ⟨hal-02889966v1⟩