Texture development and formability prediction for pre-textured cold rolled body-centred cubic steel

authored by: Eva Lehmann, Dennis Faßmann, Stefan Loehnert, Mirko Schaper, Peter Wriggers
Abstract: In this study, a polycrystalline material model is introduced. It consists of an artificial grain structure, where the individual crystal geometries are generated by Voronoi cells. In the grains slip planes and sliding directions, corresponding to the slip systems of bcc crystals, are incorporated. The crystallographic behaviour is captured in a consistent continuum mechanics based crystal plasticity framework based on the elastoplastic multiplicative split of the deformation gradient and a viscoplastic regularisation due to a constitutive relation of slip rates and the critical shear stress in the slip systems. A suitable flow rule fulfils the requirement of plastic incompressibility. The specific material considered is the ferritic steel DC04 (material number 1.0338). Based on the results of experimental studies, the initial texture is transferred via Euler angles into the modelled polycrystalline structure. For the determination of initial data as well as the validation of the material behaviour EBSD investigations are carried out. The comparison of the results is done by measuring the strain evolution of grains, the texture and the Schmid factor under uniaxial tensile load. In addition to EBSD measurements of pre-deformed material, in situ EBSD tensile tests are carried out in the SEM. The results of the in situ studies coincide with the results of the pre-deformed material. It is shown that the simulation results agree very well with the experimentally obtained data. The plastic material behaviour is reproduced very well by the simulation, whereas the texture and Schmid factor development shows a good correlation between model and experiment.
Organisation(s): Institute of Continuum Mechanics
Type: Article
Journal: International Journal of Engineering Science
Volume: 68
Pages: 24-37
No. of pages: 14
ISSN: 0020-7225
Publication date: 11.04.2013
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Materials Science(all), Engineering(all), Mechanics of Materials, Mechanical Engineering
Electronic version(s): https://doi.org/10.1016/j.ijengsci.2013.03.003 (Access: Unknown)
: Details in the research portal "Research@Leibniz University"

BibTeX

@article{1df57a69dad4402497a599a2c6969b92,
title = "Texture development and formability prediction for pre-textured cold rolled body-centred cubic steel",
abstract = "In this study, a polycrystalline material model is introduced. It consists of an artificial grain structure, where the individual crystal geometries are generated by Voronoi cells. In the grains slip planes and sliding directions, corresponding to the slip systems of bcc crystals, are incorporated. The crystallographic behaviour is captured in a consistent continuum mechanics based crystal plasticity framework based on the elastoplastic multiplicative split of the deformation gradient and a viscoplastic regularisation due to a constitutive relation of slip rates and the critical shear stress in the slip systems. A suitable flow rule fulfils the requirement of plastic incompressibility. The specific material considered is the ferritic steel DC04 (material number 1.0338). Based on the results of experimental studies, the initial texture is transferred via Euler angles into the modelled polycrystalline structure. For the determination of initial data as well as the validation of the material behaviour EBSD investigations are carried out. The comparison of the results is done by measuring the strain evolution of grains, the texture and the Schmid factor under uniaxial tensile load. In addition to EBSD measurements of pre-deformed material, in situ EBSD tensile tests are carried out in the SEM. The results of the in situ studies coincide with the results of the pre-deformed material. It is shown that the simulation results agree very well with the experimentally obtained data. The plastic material behaviour is reproduced very well by the simulation, whereas the texture and Schmid factor development shows a good correlation between model and experiment.",
keywords = "Finite crystal plasticity DC04 Pre-textured models Texture Sheet-bulk metal forming In situ EBSD",
author = "Eva Lehmann and Dennis Fa{\ss}mann and Stefan Loehnert and Mirko Schaper and Peter Wriggers",
note = "Funding information: The authors thank especially Wilhelm Rust who took on a lot of work including programming and postprocessing of data. Gratefully acknowledged is also the financial support for this research that was provided by the Deutsche Forschungsgemeinschaft (DFG) under grant SFB TR 73. This contribution evolved from the collaboration of subprojects C2 and C4.",
year = "2013",
month = apr,
day = "11",
doi = "10.1016/j.ijengsci.2013.03.003",
language = "English",
volume = "68",
pages = "24--37",
journal = "International Journal of Engineering Science",
issn = "0020-7225",
publisher = "Elsevier Ltd.",
}