A model reduction technique in space and time for fatigue simulation

Publikation: Beitrag in Buch/Bericht/Sammelwerk/KonferenzbandAufsatz in KonferenzbandForschungPeer-Review

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  • École normale supérieure Paris-Saclay (ENS Paris-Saclay)
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Details

OriginalspracheEnglisch
Titel des SammelwerksMultiscale Modeling of Heterogeneous Structures
Herausgeber/-innenPeter Wriggers, Olivier Allix, Jurica Soric
ErscheinungsortCham
Herausgeber (Verlag)Springer Verlag
Seiten183-203
Seitenumfang21
ISBN (elektronisch)978-3-319-65463-8
ISBN (Print)9783319654621
PublikationsstatusVeröffentlicht - 2018
VeranstaltungInternational Workshop on Multiscale Modeling of Heterogeneous Structures, MUMO 2016 - Dubrovnik, Kroatien
Dauer: 21 Sept. 201623 Sept. 2016

Publikationsreihe

NameLecture Notes in Applied and Computational Mechanics
Band86
ISSN (Print)1613-7736

Abstract

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.

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A model reduction technique in space and time for fatigue simulation. / Bhattacharyya, Mainak; Fau, Amélie; Nackenhorst, Udo et al.
Multiscale Modeling of Heterogeneous Structures. Hrsg. / Peter Wriggers; Olivier Allix; Jurica Soric. Cham: Springer Verlag, 2018. S. 183-203 (Lecture Notes in Applied and Computational Mechanics; Band 86).

Publikation: Beitrag in Buch/Bericht/Sammelwerk/KonferenzbandAufsatz in KonferenzbandForschungPeer-Review

Bhattacharyya, M, Fau, A, Nackenhorst, U, Néron, D & Ladevèze, P 2018, A model reduction technique in space and time for fatigue simulation. in P Wriggers, O Allix & J Soric (Hrsg.), Multiscale Modeling of Heterogeneous Structures. Lecture Notes in Applied and Computational Mechanics, Bd. 86, Springer Verlag, Cham, S. 183-203, International Workshop on Multiscale Modeling of Heterogeneous Structures, MUMO 2016, Dubrovnik, Kroatien, 21 Sept. 2016. https://doi.org/10.1007/978-3-319-65463-8_10
Bhattacharyya, M., Fau, A., Nackenhorst, U., Néron, D., & Ladevèze, P. (2018). A model reduction technique in space and time for fatigue simulation. In P. Wriggers, O. Allix, & J. Soric (Hrsg.), Multiscale Modeling of Heterogeneous Structures (S. 183-203). (Lecture Notes in Applied and Computational Mechanics; Band 86). Springer Verlag. https://doi.org/10.1007/978-3-319-65463-8_10
Bhattacharyya M, Fau A, Nackenhorst U, Néron D, Ladevèze P. A model reduction technique in space and time for fatigue simulation. in Wriggers P, Allix O, Soric J, Hrsg., Multiscale Modeling of Heterogeneous Structures. Cham: Springer Verlag. 2018. S. 183-203. (Lecture Notes in Applied and Computational Mechanics). doi: 10.1007/978-3-319-65463-8_10
Bhattacharyya, Mainak ; Fau, Amélie ; Nackenhorst, Udo et al. / A model reduction technique in space and time for fatigue simulation. Multiscale Modeling of Heterogeneous Structures. Hrsg. / Peter Wriggers ; Olivier Allix ; Jurica Soric. Cham : Springer Verlag, 2018. S. 183-203 (Lecture Notes in Applied and Computational Mechanics).
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abstract = "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.",
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AU - Nackenhorst, Udo

AU - Néron, David

AU - Ladevèze, Pierre

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