An Evolutionary Anisotropic Behavior for DC04 Sheet Using Hill48 Function under Non-Associated Flow Rule Hypothesis

Authors B. Regaiguia1, 2 , O. Chahaoui2, A. Saoudi2, S. Boulahrouz2, M.L. Fares1

1Department of Metallurgy, Faculty of Technology, Badji-Mokhtar University of Annaba, P.O Box 12, 23000, Algeria

2Laboratory of Advanced Materials Science and Engineering, Abbes Laghrour University Khenchela, 40000, Algeria

Issue Volume 14, Year 2022, Number 5
Dates Received 23 August 2022; revised manuscript received 20 October 2022; published online 28 October 2022
Citation B. Regaiguia, O. Chahaoui, A. Saoudi, et al., J. Nano- Electron. Phys. 14 No 5, 05009 (2022)
PACS Number(s) 75.30.Gw
Keywords Hill48 function, Anisotropic metal, Non-associated flow rule, Rolling metal sheet, Evolution yield harden-ing.

In this paper, the evolution of the anisotropic behavior of a DC04 sheet during work hardening is analyzed based on a quadratic Hill48 function and under the application of two plasticity approaches: associated and non-associated flow rule approaches (AFR and NAFR, respectively). The mechanical properties have been modeled, such as the uniaxial flow stresses σ(θ) and the coefficient of anisotropy r(θ) (or the Lankford parameter). In the identification of anisotropic parameters, the decoupling of the two tensors (strain and stress) under the assumption of non-associated plasticity gives better predictions compared with the experimental. With the purpose of introducing the evolutionary anisotropic path of plastically equivalent characteristics for the uniaxial flow stresses σ(θ), the isotropic hardening of mechanical strain hardening function is presented using the following empirical law based on Voce model. Therefore, the evolution of plastic potential was described by polynomial function based on NAFR approach.

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