The effect of yield surface curvature change by cross hardening on forming limit diagrams of sheets
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In: International Journal of Mechanical Sciences, Vol. 117, 01.10.2016, p. 53-66.
Research output: Journal contributions › Journal articles › Research › peer-review
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TY - JOUR
T1 - The effect of yield surface curvature change by cross hardening on forming limit diagrams of sheets
AU - Soyarslan, C.
AU - Klusemann, Benjamin
AU - Bargmann, Swantje
N1 - Funding Information: Financial support for this work provided by the German Science Foundation (DFG) under contract PAK 250 (TP4) is gratefully acknowledged. Publisher Copyright: © 2016 The Authors
PY - 2016/10/1
Y1 - 2016/10/1
N2 - The paper aims at clarification of the role of reduction in yield locus curvature on forming limit diagrams. To this end, a cross-hardening model showing a reduction of yield surface curvature is used which accounts for dynamic and latent hardening effects associated with dislocation motion during loading. The model's three-dimensional tensorial as well as reduced plane-stress vector formulations are given. The first quadrants of forming limit diagrams are numerically produced using finite element models of the Marciniak-Kuczyński test with spatially correlated random defect distribution as localization triggering mechanism. The effect of cross hardening is investigated in detail. It is demonstrated that for plane strain loading path there occurs no difference in localization predictions of the models with and without cross hardening whereas for biaxial strain paths a delayed localization is observed in the cross hardening model as compared to the one without cross hardening effects. This is in accordance with the relative bluntness of the yield surface at the points of load path change towards localization. These results are complemented by Nakazima test simulations where similar observations are made.
AB - The paper aims at clarification of the role of reduction in yield locus curvature on forming limit diagrams. To this end, a cross-hardening model showing a reduction of yield surface curvature is used which accounts for dynamic and latent hardening effects associated with dislocation motion during loading. The model's three-dimensional tensorial as well as reduced plane-stress vector formulations are given. The first quadrants of forming limit diagrams are numerically produced using finite element models of the Marciniak-Kuczyński test with spatially correlated random defect distribution as localization triggering mechanism. The effect of cross hardening is investigated in detail. It is demonstrated that for plane strain loading path there occurs no difference in localization predictions of the models with and without cross hardening whereas for biaxial strain paths a delayed localization is observed in the cross hardening model as compared to the one without cross hardening effects. This is in accordance with the relative bluntness of the yield surface at the points of load path change towards localization. These results are complemented by Nakazima test simulations where similar observations are made.
KW - Engineering
KW - Mechanik
KW - Marciniak-Kuczyński test
KW - Nakazima test
KW - Cross hardening
KW - Sheet metal forming
KW - Anisotropy
KW - Plasticity
KW - Forming limit diagram
KW - Anisotropy
KW - Cross hardening
KW - Forming limit diagram
KW - Marciniak-Kuczyński test
KW - Nakazima test
KW - Plasticity
KW - Sheet metal forming
UR - http://www.scopus.com/inward/record.url?scp=84983407383&partnerID=8YFLogxK
U2 - 10.1016/j.ijmecsci.2016.07.028
DO - 10.1016/j.ijmecsci.2016.07.028
M3 - Journal articles
AN - SCOPUS:84983407383
VL - 117
SP - 53
EP - 66
JO - International Journal of Mechanical Sciences
JF - International Journal of Mechanical Sciences
SN - 0020-7403
ER -