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A multi-temporal scale model reduction approach for the computation of fatigue damage

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Autorschaft

  • Mainak Bhattacharyya
  • Amélie Fau
  • Udo Nackenhorst
  • David Néron

Externe Organisationen

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

OriginalspracheEnglisch
Seiten (von - bis)630-656
Seitenumfang27
FachzeitschriftComputer Methods in Applied Mechanics and Engineering
Jahrgang340
Frühes Online-Datum19 Juni 2018
PublikationsstatusVeröffentlicht - 1 Okt. 2018

Abstract

One of the challenges of fatigue simulation using continuum damage mechanics framework over the years has been reduction of numerical cost while maintaining acceptable accuracy. The extremely high numerical expense is due to the temporal part of the quantities of interest which must reflect the state of a structure that is subjected to exorbitant number of load cycles. A novel attempt here is to present a non-incremental LATIN-PGD framework incorporating temporal model order reduction. LATIN-PGD method is based on separation of spatial and temporal parts of the mechanical variables, thereby allowing for separate treatment of the temporal problem. The internal variables, especially damage, although extraneous to the variable separation, must also be treated in a tactical way to reduce numerical expense. A temporal multi-scale approach is proposed that is based on the idea that the quantities of interest show a slow evolution along the cycles and a rapid evolution within the cycles. This assumption boils down to a finite element like discretisation of the temporal domain using a set of “nodal cycles” defined on the slow time scale. Within them, the quantities of interest must satisfy the global admissibility conditions and constitutive relations with respect to the fast time scale. Thereafter, information of the “nodal cycles” can be interpolated to simulate the behaviour on the whole temporal domain. This numerical strategy is tested on different academic examples and leads to an extreme reduction in numerical expense.

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A multi-temporal scale model reduction approach for the computation of fatigue damage. / Bhattacharyya, Mainak; Fau, Amélie; Nackenhorst, Udo et al.
in: Computer Methods in Applied Mechanics and Engineering, Jahrgang 340, 01.10.2018, S. 630-656.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Bhattacharyya M, Fau A, Nackenhorst U, Néron D, Ladevèze P. A multi-temporal scale model reduction approach for the computation of fatigue damage. Computer Methods in Applied Mechanics and Engineering. 2018 Okt 1;340:630-656. Epub 2018 Jun 19. doi: 10.1016/j.cma.2018.06.004
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