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Plastic anisotropy of sheet metals under plane strain loading: A novel non-associated constitutive model based on fourth-order polynomial functions

Cited 14 time in Web of Science Cited 13 time in Scopus
Authors

Hou, Yong; Du, Kai; Abd El-Aty, Ali; Lee, Myoung-Gyu; Min, Junying

Issue Date
2022-11
Publisher
Elsevier BV
Citation
Materials and Design, Vol.223, p. 111187
Abstract
Constitutive modeling of sheet metals under plane strain state is important but challenging. Recent stud-ies report that the yield strength and plastic strain rate of sheet metals in the plane strain mode exhibit strong anisotropy. To address the plane strain anisotropy, fourth-order polynomial functions (Poly4) of the stress tensor were applied to the yield stress and plastic potential functions under the non -associated flow rule (NAFR-Poly4). The yield stresses under near-plane strain (NPS) measured along three angles from the sheet rolling direction were used for an analytical determination of the parameters of the yield stress function and the commonly applied yield stresses under uniaxial tension (UT) and equi-biaxial tension (EBT). In addition, the plastic strain rates under UT, NPS, and EBT were used to determine the parameters of the polynomial plastic potential. Compared with experimental results under a wide range of loading conditions, the proposed NAFR-Poly4 model predicts the anisotropic NPS deformation of a dual-phase steel and an aluminum alloy with remarkably improved accuracy over the other existing models. The NPS yield stresses of the dual-phase steel are accurately predicted with a reduced average plastic flow deviation of 2.8 degrees by NAFR-Poly4 compared to 7.1 degrees by the Yld2k-2d model under AFR.(c) 2022 The Author(s). Published by Elsevier Ltd. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).
ISSN
0264-1275
URI
https://hdl.handle.net/10371/188952
DOI
https://doi.org/10.1016/j.matdes.2022.111187
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