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Article Dans Une Revue International Journal of Damage Mechanics Année : 2020

Numerical homogenisation based on asymptotic theory and model reduction for coupled elastic-viscoplastic damage

Résumé

This article deals with damage computation of heterogeneous structures containing locally periodic micro-structures. Such heterogeneous structure is extremely expensive to simulate using classical finite element methods, as the level of discretisation required to capture the micro-structural effects is too fine. The simulation time becomes even higher when dealing with highly non-linear material behaviour, e.g. damage, plasticity and such others. Therefore, a multi-scale strategy is proposed here that facilitates the simulation of non-linear heterogeneous material behaviour in a manner that is computationally feasible. Based on the asymptotic homogenisation theory, this multi-scale technique explores the micro–macro behaviour for elasto-(visco)plasticity coupled with damage. The theory inherently segregates the heterogeneous continua into a macroscopic homogeneous structure and an underlying heterogeneous microscopic periodic unit cell. Several heterogeneous structures have been simulated using the multi-scale method along with a one-dimensional verification with respect to a reference solution. Additionally, a reduced order modelling is used to prevent large memory requirement for storing micro-structural quantities of interest.
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Dates et versions

hal-02866579 , version 1 (15-07-2020)
hal-02866579 , version 2 (14-05-2021)

Licence

Paternité - Pas d'utilisation commerciale - Pas de modification

Identifiants

Citer

Mainak Bhattacharyya, David Dureisseix, Beatrice Faverjon. Numerical homogenisation based on asymptotic theory and model reduction for coupled elastic-viscoplastic damage. International Journal of Damage Mechanics, 2020, 29 (9), pp.1416-1444. ⟨10.1177/1056789520930785⟩. ⟨hal-02866579v2⟩
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