PreprintArticleVersion 1Preserved in Portico This version is not peer-reviewed
Constitutive Modeling of Annealed OFHC with Wide Strain-Rate and Temperature Effects: Incorporating Dislocation Dynamics and Normalized Microstructural Size Evolution
Xu, M.; Xiao, Q.; Zu, X.; Tan, Y.; Huang, Z. Constitutive Modeling of Annealed OFHC with Wide Strain-Rate and Temperature Effects: Incorporating Dislocation Dynamics and Normalized Microstructural Size Evolution. Materials2023, 16, 6517.
Xu, M.; Xiao, Q.; Zu, X.; Tan, Y.; Huang, Z. Constitutive Modeling of Annealed OFHC with Wide Strain-Rate and Temperature Effects: Incorporating Dislocation Dynamics and Normalized Microstructural Size Evolution. Materials 2023, 16, 6517.
Xu, M.; Xiao, Q.; Zu, X.; Tan, Y.; Huang, Z. Constitutive Modeling of Annealed OFHC with Wide Strain-Rate and Temperature Effects: Incorporating Dislocation Dynamics and Normalized Microstructural Size Evolution. Materials2023, 16, 6517.
Xu, M.; Xiao, Q.; Zu, X.; Tan, Y.; Huang, Z. Constitutive Modeling of Annealed OFHC with Wide Strain-Rate and Temperature Effects: Incorporating Dislocation Dynamics and Normalized Microstructural Size Evolution. Materials 2023, 16, 6517.
Abstract
The flow stress of face-centered cubic (FCC) metals exhibits a rapid increase near a strain rate of 104 s-1 under fixed strain conditions. However, many existing constitutive models either fail to capture the mechanical characteristics of this plastic deformation or use piecewise strain rate hardening models to describe this phenomenon. Unfortunately, the piecewise models may suffer from issues such as discontinuity of physical quantities and difficulties in determining segment markers, and struggling to reflect the underlying physical mechanisms that give rise to this mutation phenomenon. In light of this, this paper proposes that the abrupt change in flow stress sensitivity to strain rate in FCC metals can be attributed to microstructural evolution characteristics. To address this, a continuous semi-empirical physical constitutive model for FCC metals is established based on the microstructural size evolution proposed by Molinari-Ravichandran and the dislocation motion slip mechanism. This model effectively describes the mutation behavior of strain rate sensitivity under fixed strain, particularly evident in the annealed OFHC. The predicted results of the model across a wide range of strain rates (10-4 − 106 s-1) and temperatures (77 − 1096 K) demonstrate relative errors generally within ±10% of the experimental values. Furthermore, the model is compared to five other models, including Mechanical Threshold Stress (MTS), Nemat-Nasser-Li (NNL), Preston-Tonks-Wallace (PTW), Johnson-Cook (JC), and Molinari-Ravichandran (MR) models. A comprehensive illustration of errors reveals that the proposed model outperforms the other five models in describing the plastic deformation behavior of OFHC. The error results offer valuable insights for selecting appropriate models for engineering applications and provide significant contributions to the field.
Keywords
Constitutive modelling; Microstructural sensitive; OFHC copper; high strain rate
Subject
Physical Sciences, Applied Physics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
The commenter has declared there is no conflict of interests.
Comment:
The authors should take the following two papers into account:
Lea, L., Brown, L. & Jardine, A. Time limited self-organised criticality in the high rate deformation of fcc metals. Communications Materials 2020, 1, doi: 10.1038/s43246-020-00090-2,
Lea, L.J. & Jardine, A.P. Characterisation of high rate plasticity in the uniaxial deformation of high purity copper at elevated temperatures. Int. J. Plast. 2018, 102, 41-52,
Commenter:
The commenter has declared there is no conflict of interests.
Lea, L., Brown, L. & Jardine, A. Time limited self-organised criticality in the high rate deformation of fcc metals. Communications Materials 2020, 1, doi: 10.1038/s43246-020-00090-2,
Lea, L.J. & Jardine, A.P. Characterisation of high rate plasticity in the uniaxial deformation of high purity copper at elevated temperatures. Int. J. Plast. 2018, 102, 41-52,