 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 13088 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8125
|
| In English (Mech. Solids): | | 4963 |
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| Sh. Amirabdollahian and M. Gerdooei, "Improving the Performance of the Quadratic Hill’s Yield Criterion Considering the Evolution of Plastic Anisotropy Based on the Image Processing Correlation and Numerical Modeling," Mech. Solids. 60 (1), 223-240 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
1 |
Pages |
223-240 |
| DOI |
10.1134/S0025654424605998 |
| Title |
Improving the Performance of the Quadratic Hill’s Yield Criterion Considering the Evolution of Plastic Anisotropy Based on the Image Processing Correlation and Numerical Modeling |
| Author(s) |
Sh. Amirabdollahian (Faculty of Mechanical Engineering, Shahrood University of Technology, Shahrood, Iran, amirabdollahian_shahram@yahoo.com)
M. Gerdooei (Faculty of Mechanical Engineering, Shahrood University of Technology, Shahrood, Iran, gerdooei@shahroodut.ac.ir) |
| Abstract |
Sheet metals commonly exhibit anisotropic properties arising from crystallographic texture evolution during the rolling process, which significantly affects their formability and overall performance. While phenomenological models are often favored for their ease of implementation in finite element (FE) codes and compatibility with various materials, they typically do not account for the evolution of anisotropy beyond the initial state. This study addresses this limitation by enhancing Hill’s quadratic yield function to better model the behavior of DC04 steel, considering strain-dependent anisotropy parameters. Mechanical properties were determined through uniaxial tension tests conducted at intervals of 22.5° with respect to the rolling direction. A quadratic anisotropic yield function, Hill 1948(ε), was employed, with parameters varying as a function of equivalent plastic strain. Strain data and Lankford coefficients were obtained using a 2D digital image correlation (2D-DIC) system, enabling the tracking of anisotropy evolution across the entire surface of the sheet. A comparison was made with models using fixed parameters (Hill 1948). The Swift hardening law governed the strain-hardening behavior. Following validation, the models were implemented in a user-defined material subroutine (UMAT) for FE simulations in ABAQUS, with results compared against experimental findings. The study demonstrates a significant improvement in modeling the plastic behavior of DC04 steel sheets by considering the evolution of anisotropy induced by plastic strain in the yield criterion. |
| Keywords |
plastic anisotropy evolution, yield criterion, constitutive modeling, digital image correlation method, finite element simulation |
| Received |
28 October 2024 | Revised |
17 December 2024 | Accepted |
07 January 2025 |
| Link to Fulltext |
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