Differential hardening in IF steel - Experimental results and a crystal plasticity based model

J. Mulder, P. Eyckens, Antonius H. van den Boogaard

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Abstract

Work hardening in metals is commonly described by isotropic hardening, especially for monotonically increasing proportional loading. The relation between different stress states in this case is determined by equivalent stress and strain definitions, based on equal plastic dissipation. However, experiments for IF steel under uniaxial and equibiaxial conditions show that this is not an accurate description. In this work, the determination of the equibiaxial stress–strain relation with 3 different tests will be elaborated: a stack compression test, a cruciform tensile test and a bulge test. A consistent shape of the hardening curve is obtained which deviates from that of a uniaxial tensile test. Several physical explanations based on crystal plasticity are considered, including texture evolution, strain inhomogeneity and glide system hardening models. Texture evolution changes the shape of the yield surface and hence causes differential hardening, however, the observed differences at low strains cannot be explained by texture evolution. Accounting for the strain heterogeneity in the polycrystal, with equilibrium of forces over grain boundaries, improves the prediction of differential hardening considerably, even with a simplified interaction model (Alamel) and simple hardening laws for the glide systems. The presentation is based on a recently published paper by the authors [1].
Original languageEnglish
Title of host publicationAdvanced constitutive models in sheet metal forming
EditorsP. Hora
Place of PublicationZurich
PublisherInstitute of Virtual Manufacturing, ETH Zurich
Pages113-118
ISBN (Print)978-3-906031-98-9
Publication statusPublished - 29 Jun 2015
Event8th Forming Technology Forum 2015: Advanced constitutive models in sheet metal forming - ETH Zurich, Zurich, Switzerland
Duration: 29 Jun 201530 Jun 2015

Conference

Conference8th Forming Technology Forum 2015
CountrySwitzerland
CityZurich
Period29/06/1530/06/15

Fingerprint

Plasticity
Hardening
Crystals
Steel
Textures
Polycrystals
Strain hardening
Grain boundaries
Plastics
Metals
Experiments

Keywords

  • METIS-310897
  • IR-96302

Cite this

Mulder, J., Eyckens, P., & van den Boogaard, A. H. (2015). Differential hardening in IF steel - Experimental results and a crystal plasticity based model. In P. Hora (Ed.), Advanced constitutive models in sheet metal forming (pp. 113-118). Zurich: Institute of Virtual Manufacturing, ETH Zurich.
Mulder, J. ; Eyckens, P. ; van den Boogaard, Antonius H. / Differential hardening in IF steel - Experimental results and a crystal plasticity based model. Advanced constitutive models in sheet metal forming. editor / P. Hora. Zurich : Institute of Virtual Manufacturing, ETH Zurich, 2015. pp. 113-118
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Mulder, J, Eyckens, P & van den Boogaard, AH 2015, Differential hardening in IF steel - Experimental results and a crystal plasticity based model. in P Hora (ed.), Advanced constitutive models in sheet metal forming. Institute of Virtual Manufacturing, ETH Zurich, Zurich, pp. 113-118, 8th Forming Technology Forum 2015, Zurich, Switzerland, 29/06/15.

Differential hardening in IF steel - Experimental results and a crystal plasticity based model. / Mulder, J.; Eyckens, P.; van den Boogaard, Antonius H.

Advanced constitutive models in sheet metal forming. ed. / P. Hora. Zurich : Institute of Virtual Manufacturing, ETH Zurich, 2015. p. 113-118.

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

TY - GEN

T1 - Differential hardening in IF steel - Experimental results and a crystal plasticity based model

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AU - van den Boogaard, Antonius H.

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Y1 - 2015/6/29

N2 - Work hardening in metals is commonly described by isotropic hardening, especially for monotonically increasing proportional loading. The relation between different stress states in this case is determined by equivalent stress and strain definitions, based on equal plastic dissipation. However, experiments for IF steel under uniaxial and equibiaxial conditions show that this is not an accurate description. In this work, the determination of the equibiaxial stress–strain relation with 3 different tests will be elaborated: a stack compression test, a cruciform tensile test and a bulge test. A consistent shape of the hardening curve is obtained which deviates from that of a uniaxial tensile test. Several physical explanations based on crystal plasticity are considered, including texture evolution, strain inhomogeneity and glide system hardening models. Texture evolution changes the shape of the yield surface and hence causes differential hardening, however, the observed differences at low strains cannot be explained by texture evolution. Accounting for the strain heterogeneity in the polycrystal, with equilibrium of forces over grain boundaries, improves the prediction of differential hardening considerably, even with a simplified interaction model (Alamel) and simple hardening laws for the glide systems. The presentation is based on a recently published paper by the authors [1].

AB - Work hardening in metals is commonly described by isotropic hardening, especially for monotonically increasing proportional loading. The relation between different stress states in this case is determined by equivalent stress and strain definitions, based on equal plastic dissipation. However, experiments for IF steel under uniaxial and equibiaxial conditions show that this is not an accurate description. In this work, the determination of the equibiaxial stress–strain relation with 3 different tests will be elaborated: a stack compression test, a cruciform tensile test and a bulge test. A consistent shape of the hardening curve is obtained which deviates from that of a uniaxial tensile test. Several physical explanations based on crystal plasticity are considered, including texture evolution, strain inhomogeneity and glide system hardening models. Texture evolution changes the shape of the yield surface and hence causes differential hardening, however, the observed differences at low strains cannot be explained by texture evolution. Accounting for the strain heterogeneity in the polycrystal, with equilibrium of forces over grain boundaries, improves the prediction of differential hardening considerably, even with a simplified interaction model (Alamel) and simple hardening laws for the glide systems. The presentation is based on a recently published paper by the authors [1].

KW - METIS-310897

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BT - Advanced constitutive models in sheet metal forming

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Mulder J, Eyckens P, van den Boogaard AH. Differential hardening in IF steel - Experimental results and a crystal plasticity based model. In Hora P, editor, Advanced constitutive models in sheet metal forming. Zurich: Institute of Virtual Manufacturing, ETH Zurich. 2015. p. 113-118