Relationship between strength and uniform elongation of metals based on an exponential hardening law

An exponential strain-hardening (ESH) model for single phase metals was established and well verified by systematic experiments on Cu-Al alloys in an earlier study. In this report, several additional significant revelations will be documented for the tensile behaviors of several typical metals. Firstly, a unified interpretation of the well-known five strain-hardening stages is developed by correlating the characteristics of each stage with the parameter n that relates to the dislocation annihilation behavior. Secondly, quantitative relationships among the yield strength (YS), ultimate tensile strength (UTS) and uniform elongation (UE) are established and verified using the tensile experimental results for Cu-Al alloys. Thirdly, the two general principles of the synchronous improvement of strength and uniform elongation (SISUE) effect, such as the composition adjustment and microstructure optimization, are quantitatively revealed by the composition parameter n and a microstructure type parameter η. Two typical trends of the true UTS-UE curves and two kinds of characteristic strengths are quantitatively revealed and confirmed by the relevant experimental data. Finally, a prediction model of tensile properties is proposed and a corresponding procedure is displayed, which is further verified by the tensile experimental results for Cu-Al alloys. These applications further support the validity and significance of the ESH model.

Composition, Microstructure, Strain hardening, Strength, uniform elongation, Uniform elongation

10.1016/j.actamat.2022.117866

1359-6454

Zhang, Zhenjun

1d4dfd5e-314d-46c2-91d2-4a260f3b552f

Qu, Zhan

a8ce0bc7-fc4e-47ef-b09c-e567c02541af

Xu, Ling

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Liu, Rui

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Zhang, Peng

3ac04b7d-9a7a-41c6-8c9b-85e73c034969

Zhang, Zhefeng

fae2e491-f76b-4129-bf0e-643161366478

Langdon, Terence G.

86e69b4f-e16d-4830-bf8a-5a9c11f0de86

1 June 2022

Zhang, Zhenjun

1d4dfd5e-314d-46c2-91d2-4a260f3b552f

Qu, Zhan

a8ce0bc7-fc4e-47ef-b09c-e567c02541af

Xu, Ling

738ab1b3-707b-468d-85bd-b64bcddf2ee7

Liu, Rui

f6ba8ec9-4057-4dd9-a960-d63f660eee09

Zhang, Peng

3ac04b7d-9a7a-41c6-8c9b-85e73c034969

Zhang, Zhefeng

fae2e491-f76b-4129-bf0e-643161366478

Langdon, Terence G.

86e69b4f-e16d-4830-bf8a-5a9c11f0de86

Zhang, Zhenjun, Qu, Zhan, Xu, Ling, Liu, Rui, Zhang, Peng, Zhang, Zhefeng and Langdon, Terence G. (2022) Relationship between strength and uniform elongation of metals based on an exponential hardening law. Acta Materialia, 231, [117866]. (doi:10.1016/j.actamat.2022.117866).

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Accepted/In Press date: 21 March 2022

e-pub ahead of print date: 24 March 2022

Published date: 1 June 2022

Additional Information: Funding Information: This work was financially supported by the Youth Innovation Promotion Association CAS (Grant No. 2021192 ), the National Natural Science Foundation of China (NSFC) under Grant Nos. 51871223, 51790482, 52130002 and 52001153 , the KC Wong Education Foundation ( GJTD-2020-09 ) and The Chinese Academy of Sciences (Grants 174321KYSB20210002 ). The work of one of us was supported by the European Research Council under ERC Grant Agreement No. 267464-SPDMETALS (TGL). Publisher Copyright: © 2022

Keywords: Composition, Microstructure, Strain hardening, Strength, uniform elongation, Uniform elongation