Constitutive Characterization of FeCoCrNi High-Entropy Alloy During Thermomechanical Deformation Using a New Zerilli–Armstrong Model

The thermomechanical deformation behavior of high-entropy alloys (HEAs) is governed by complex interactions among strain, strain rate, and deformation temperature, necessitating robust constitutive models for accurate flow stress prediction and process optimization. In this study, a novel Zerilli–Armstrong (NZA) constitutive model was developed to characterize the hot deformation behavior of FeCoCrNi HEA. The proposed NZA model incorporates enhanced descriptions of strain hardening and deformation-temperature coupling to improve prediction accuracy. The predictability of the proposed NZA model was systematically evaluated and compared with that of the original Zerilli–Armstrong (ZA) and modified Zerilli–Armstrong (MZA) models using key statistical indicators, including the correlation coefficient (R), average absolute relative error (AARE), and root mean square error (RMSE). The findings demonstrate that the NZA model exhibits superior predictive performance, achieving an excellent correlation coefficient (R) of 0.997, a low AARE of 4.22%, and an RMSE of 5.82 MPa. These results confirm the reliability and effectiveness of the proposed constitutive framework in accurately describing the thermomechanical flow behavior of FeCoCrNi HEA over a wide range of deformation conditions. The proposed NZA model provides a robust framework for optimizing hot-forming processes and improving the manufacturing performance of HEA-based components while promoting sustainable manufacturing through reduced material consumption, enhanced energy efficiency, and support for SDGs 9 and 12.

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Journal
Materials
Published
2026-06-24
DOI
https://doi.org/10.3390/ma19132716
Primary Topic
High Entropy Alloys Studies
Type
article
Field-Weighted Citation Impact
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article

Constitutive Characterization of FeCoCrNi High-Entropy Alloy During Thermomechanical Deformation Using a New Zerilli–Armstrong Model

Arafa Soliman Sobh, Ali Abd El-Aty, Mohamed M. Z. Ahmed, Abdallah Shokry
Materials
High Entropy Alloys Studies
article

Constitutive Characterization of FeCoCrNi High-Entropy Alloy During Thermomechanical Deformation Using a New Zerilli–Armstrong Model

Arafa Soliman Sobh, Ali Abd El-Aty, Mohamed M. Z. Ahmed, Abdallah Shokry
article en

Abstract

The thermomechanical deformation behavior of high-entropy alloys (HEAs) is governed by complex interactions among strain, strain rate, and deformation temperature, necessitating robust constitutive models for accurate flow stress prediction and process optimization. In this study, a novel Zerilli–Armstrong (NZA) constitutive model was developed to characterize the hot deformation behavior of FeCoCrNi HEA. The proposed NZA model incorporates enhanced descriptions of strain hardening and deformation-temperature coupling to improve prediction accuracy. The predictability of the proposed NZA model was systematically evaluated and compared with that of the original Zerilli–Armstrong (ZA) and modified Zerilli–Armstrong (MZA) models using key statistical indicators, including the correlation coefficient (R), average absolute relative error (AARE), and root mean square error (RMSE). The findings demonstrate that the NZA model exhibits superior predictive performance, achieving an excellent correlation coefficient (R) of 0.997, a low AARE of 4.22%, and an RMSE of 5.82 MPa. These results confirm the reliability and effectiveness of the proposed constitutive framework in accurately describing the thermomechanical flow behavior of FeCoCrNi HEA over a wide range of deformation conditions. The proposed NZA model provides a robust framework for optimizing hot-forming processes and improving the manufacturing performance of HEA-based components while promoting sustainable manufacturing through reduced material consumption, enhanced energy efficiency, and support for SDGs 9 and 12.

MaterialsVol. 19(13)
Prince Sattam Bin Abdulaziz University (SA), Cairo University (EG), Fayoum University (EG), Helwan University (EG)
Prince Sattam bin Abdulaziz University
Affordable and clean energy
Openalex Percentile: Top 13%
High Entropy Alloys Studies
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