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Evolution of Failure Mechanisms in Composite Shell Structures Using Different Models Read chapter Read first chapter

2018 | OriginalPaper | Chapter

A Model Reduction Technique in Space and Time for Fatigue Simulation

Authors : Mainak Bhattacharyya, Amélie Fau, Udo Nackenhorst, David Néron, Pierre Ladevèze

Published in: Multiscale Modeling of Heterogeneous Structures

Publisher: Springer International Publishing

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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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Metadata
Title
A Model Reduction Technique in Space and Time for Fatigue Simulation
Authors
Mainak Bhattacharyya
Amélie Fau
Udo Nackenhorst
David Néron
Pierre Ladevèze
Copyright Year
2018
Book
Multiscale Modeling of Heterogeneous Structures

Print ISBN: 978-3-319-65462-1

Electronic ISBN: 978-3-319-65463-8

Copyright Year: 2018

DOI
https://doi.org/10.1007/978-3-319-65463-8_10

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