# Earing Prediction of AA5754-H111 (Al-Alloy) with Linear Transformation-Based Anisotropic Drucker Yield Function under Non-Associated Flow Rule (Non-AFR)

**Authors:** Xiang Gao, Zhen Zhang, Zhongming Xu, Xinming Wan, Songchen Wang, Naveed Muhammad Mubashir

PMC · DOI: 10.3390/ma17153865 · Materials · 2024-08-05

## TL;DR

This study investigates the earing prediction of aluminum alloy 5754-H111 using an anisotropic Drucker model under non-associated flow rule for improved accuracy.

## Contribution

The study introduces the use of the anisotropic Drucker model under non-AFR for more accurate earing prediction in aluminum alloys.

## Key findings

- The anisotropic Drucker model provides the most accurate prediction at 30 MPa plastic work.
- The anisotropic Drucker and Yld91 models accurately predict the yield behavior of the alloy.
- The plastic potential function has a greater impact on earing prediction than the yield function.

## Abstract

The yield behavior of aluminum alloy 5754-H111 under different stress conditions for three kinds of plastic work is studied using an anisotropic Drucker model. It is found that when the plastic work is 30 MPa, the anisotropic Drucker model has the most accurate prediction. Comparing the Hill48 and Yld91 models with the Drucker model, the results show that both the anisotropic Drucker and Yld91 models can accurately predict the yield behavior of the alloy. Cylinder drawing finite element analysis is performed under the AFR, but it is not possible to accurately predict the position and height of earing appearance. The anisotropic Drucker model is used to predict the earing behavior under the non-AFR, which can accurately predict the earing phenomenon. Numerical simulation is conducted using three different combinations of yield functions: the anisotropic yield function and the anisotropic plastic potential function (AYAPP), the anisotropic yield function and the isotropic plastic potential function (AYIPP), and the isotropic yield function and the anisotropic plastic potential function (IYAPP). It is concluded that the influence of the plastic potential function on predicting earing behavior is more critical than that of the yield function.

## Full-text entities

- **Chemicals:** 5754-H111 (-)
- **Cell lines:** AA5754-H111 — Cricetulus griseus (Chinese hamster), Hybrid cell line (CVCL_1S17), Al-Alloy — Homo sapiens (Human), Finite cell line (CVCL_3642)

## Full text

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## Figures

24 figures with captions in the complete paper: https://tomesphere.com/paper/PMC11313594/full.md

## References

43 references — full list in the complete paper: https://tomesphere.com/paper/PMC11313594/full.md

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Source: https://tomesphere.com/paper/PMC11313594