A Model Reduction Technique in Space and Time for Fatigue Simulation

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

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

The simulation of mechanical responses of structures subjected to cyclic loadings for a large number of cycles remains a challenge. The goal herein is to develop an innovative computational scheme for fatigue computations involving non-linear mechanical behaviour of materials, described by internal variables. The focus is on the Large Time Increment (LATIN) method coupled with a model reduction technique, the Proper Generalized Decomposition (PGD). Moreover, a multi-time scale approach is proposed for the simulation of fatigue involving large number of cycles. The quantities of interest are calculated only at particular pre-defined cycles called the “nodal cycles” and a suitable interpolation is used to estimate their evolution at the intermediate cycles. The proposed framework is exemplified for a structure subjected to cyclic loading, where damage is considered to be isotropic and micro-defect closure effects are taken into account. The combination of these techniques reduce the numerical cost drastically and allows to create virtual S-N curves for large number of cycles.

Domaines: Sciences de l'ingénieur [physics]; Mécanique des structures [physics.class-ph]

Mainak Bhattacharyya, Amélie Fau, Udo Nackenhorst, David Néron, Pierre Ladevèze. A Model Reduction Technique in Space and Time for Fatigue Simulation. Multiscale Modeling of Heterogeneous Structures, pp.183-203, 2018, ⟨10.1007/978-3-319-65463-8_10⟩. ⟨hal-02306384⟩