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Numerical prediction of the stress-strain response of a lamellar gamma-TiAl polycrystal using a two-scale modelling approach

Cornec, Alfred and Kabir, Mohammad Rizviul and Huber, Nobert (2014) Numerical prediction of the stress-strain response of a lamellar gamma-TiAl polycrystal using a two-scale modelling approach. Materials Science and Engineering A: Structural Materials: Properties, Microstructure and Processing, 620, pp. 273-285. Elsevier. DOI: http://dx.doi.org/10.1016/j.msea.2014.10.018 ISSN 0921-5093

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Abstract

An advanced model incorporating a two-scale structural description with integrated constitutive formulations of crystal plasticity was adopted to describe the mechanical behaviour of a gamma-TiAl polycrystal with grains of staggered (gamma/alpha_2)-phase lamellae. The numerical model assembles a polycrystalline compound of 64 lamellar grains generated from periodic unit cells (PUC) taking relevant phase configurations. The representative parameter set for the crystal plasticity are estimated by modelling the lamellar deformation and fitting the compression and tension test results in two steps: firstly, the fundamental parameters were identified for a poly-synthetically twinned single crystal (PST) under compression, and secondly, these PST parameters were adjusted to the gamma-TiAl polycrystal consisting of fully lamellar grains. Numerical results show that the compression-tension anomaly in the stress-strain curves can be successfully described by a ‘high-grade’ PUC model including six domain variants of the gamma-phase occurring in the lamellae. Using a PUC model with simplified mapping of lamellar microstructure, the prediction quality remains unsatisfactory with respect to the observed compression and tension anomaly and the crystal parameters are found to be inconsistent. Differently aligned lamellar grains in polycrystalline cubic model are predicted, which showed that the global stress-strain curves are weakly affected by different local alignments (or textures) of the grains, whereas, the single grain analyses show strong variations in local stress-strain curves. The simulated nature of local variations in grain scale stress-strain behaviour accords with the independent results from instrumented indentation testing of the same lamellar polycrystal.

Item URL in elib:https://elib.dlr.de/91395/
Document Type:Article
Title:Numerical prediction of the stress-strain response of a lamellar gamma-TiAl polycrystal using a two-scale modelling approach
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Cornec, AlfredMaterials Mechanics, Institute of Materials Research, Helmholtz-Zentrum Geesthacht, GeesthachtUNSPECIFIED
Kabir, Mohammad RizviulInstitute of Materials Research, German Aerospace Center (DLR), Contact: mohammad-rizviul.kabir (at) dlr.deUNSPECIFIED
Huber, NobertMaterials Mechanics, Institute of Materials Research, Helmholtz-Zentrum Geesthacht, GeesthachtUNSPECIFIED
Date:23 October 2014
Journal or Publication Title:Materials Science and Engineering A: Structural Materials: Properties, Microstructure and Processing
Refereed publication:Yes
Open Access:No
In SCOPUS:Yes
In ISI Web of Science:Yes
Volume:620
DOI :http://dx.doi.org/10.1016/j.msea.2014.10.018
Page Range:pp. 273-285
Publisher:Elsevier
ISSN:0921-5093
Status:Published
Keywords:Finite element method, micromechanics, Intermetallics, titanium aluminide alloy, Crystal plasticity, mechanical properties
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Aeronautics
HGF - Program Themes:propulsion systems
DLR - Research area:Aeronautics
DLR - Program:L ER - Engine Research
DLR - Research theme (Project):L - Virtual Engine and Validation methods
Location: Köln-Porz
Institutes and Institutions:Institute of Materials Research > Experimental and Numerical Methods
Deposited By: Kabir, Dr. -Ing Mohammad Rizviul
Deposited On:25 Nov 2014 11:00
Last Modified:30 May 2019 22:07

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