Details
| Original language | English |
|---|---|
| Article number | 103808 |
| Journal | European Journal of Mechanics, A/Solids |
| Volume | 77 |
| Early online date | 16 Jul 2019 |
| Publication status | Published - Sept 2019 |
Abstract
The goal of this paper is to introduce a model order reduction method for high-cycle fatigue simulations using a kinetic damage model, i.e. a constitutive model in which the damage evolution law is defined as a rate form [Formula presented] for the damage variable D. In the framework of continuum mechanics, high-cycle fatigue simulation involves a two-scale damage model, which includes macroscopic elastic and microscopic plastic behaviours, for a very large number of cycles. Unlike the classical usage of the two-scale damage model by Lemaitre and co-workers, where damage is calculated as a post-process of an elastic or elasto-plastic macroscopic analysis, in this work, a fully coupled analysis is conducted assuming a macroscopic damage feedback from its microscopic counterpart. Damage is considered to be isotropic with micro-defect closure effect on both macroscopic and microscopic scales. To overcome the numerical expense, the large time increment (LATIN) method is used as a linearisation framework, where the constitutive behaviour is separated from the global admissibility which in turn is solved through separation of variables using a proper generalised decomposition (PGD)-based model reduction method. A multi-temporal discretisation approach is henceforth used based on finite element like description in time for the quantities of interest, providing a sophisticated numerical approach suitable for high-cycle fatigue simulation under complex loading.
Keywords
- Damage mechanics, High-cycle fatigue, LATIN-PGD method, Model order reduction, Two-scale model, Two-temporal scales
ASJC Scopus subject areas
- Materials Science(all)
- General Materials Science
- Engineering(all)
- Mechanics of Materials
- Engineering(all)
- Mechanical Engineering
- Physics and Astronomy(all)
- General Physics and Astronomy
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In: European Journal of Mechanics, A/Solids, Vol. 77, 103808, 09.2019.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - A kinetic two-scale damage model for high-cycle fatigue simulation using multi-temporal Latin framework
AU - Bhattacharyya, Mainak
AU - Fau, Amélie
AU - Desmorat, Rodrigue
AU - Alameddin, Shadi
AU - Néron, David
AU - Ladevèze, Pierre
AU - Nackenhorst, Udo
N1 - Funding Information: The support by the German Research Foundation (DFG) via IRTG 1627 is highly appreciated.
PY - 2019/9
Y1 - 2019/9
N2 - The goal of this paper is to introduce a model order reduction method for high-cycle fatigue simulations using a kinetic damage model, i.e. a constitutive model in which the damage evolution law is defined as a rate form [Formula presented] for the damage variable D. In the framework of continuum mechanics, high-cycle fatigue simulation involves a two-scale damage model, which includes macroscopic elastic and microscopic plastic behaviours, for a very large number of cycles. Unlike the classical usage of the two-scale damage model by Lemaitre and co-workers, where damage is calculated as a post-process of an elastic or elasto-plastic macroscopic analysis, in this work, a fully coupled analysis is conducted assuming a macroscopic damage feedback from its microscopic counterpart. Damage is considered to be isotropic with micro-defect closure effect on both macroscopic and microscopic scales. To overcome the numerical expense, the large time increment (LATIN) method is used as a linearisation framework, where the constitutive behaviour is separated from the global admissibility which in turn is solved through separation of variables using a proper generalised decomposition (PGD)-based model reduction method. A multi-temporal discretisation approach is henceforth used based on finite element like description in time for the quantities of interest, providing a sophisticated numerical approach suitable for high-cycle fatigue simulation under complex loading.
AB - The goal of this paper is to introduce a model order reduction method for high-cycle fatigue simulations using a kinetic damage model, i.e. a constitutive model in which the damage evolution law is defined as a rate form [Formula presented] for the damage variable D. In the framework of continuum mechanics, high-cycle fatigue simulation involves a two-scale damage model, which includes macroscopic elastic and microscopic plastic behaviours, for a very large number of cycles. Unlike the classical usage of the two-scale damage model by Lemaitre and co-workers, where damage is calculated as a post-process of an elastic or elasto-plastic macroscopic analysis, in this work, a fully coupled analysis is conducted assuming a macroscopic damage feedback from its microscopic counterpart. Damage is considered to be isotropic with micro-defect closure effect on both macroscopic and microscopic scales. To overcome the numerical expense, the large time increment (LATIN) method is used as a linearisation framework, where the constitutive behaviour is separated from the global admissibility which in turn is solved through separation of variables using a proper generalised decomposition (PGD)-based model reduction method. A multi-temporal discretisation approach is henceforth used based on finite element like description in time for the quantities of interest, providing a sophisticated numerical approach suitable for high-cycle fatigue simulation under complex loading.
KW - Damage mechanics
KW - High-cycle fatigue
KW - LATIN-PGD method
KW - Model order reduction
KW - Two-scale model
KW - Two-temporal scales
UR - http://www.scopus.com/inward/record.url?scp=85069575761&partnerID=8YFLogxK
U2 - 10.1016/j.euromechsol.2019.103808
DO - 10.1016/j.euromechsol.2019.103808
M3 - Article
AN - SCOPUS:85069575761
VL - 77
JO - European Journal of Mechanics, A/Solids
JF - European Journal of Mechanics, A/Solids
SN - 0997-7538
M1 - 103808
ER -