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On the Constitutive Models for Ultra-High Strain Rate Deformation of Metals

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Abstract

Ultra-high strain rate deformation (> 104 s−1) is common in high speed manufacturing and impact engineering. However, a general constitutive model suitable for describing the material deformation at ultra-high strain rates is still unavailable. The purpose of this study is of two-folds. The first is to systematically evaluate the performances of four typical constitutive models, Johnson-Cook (J-C), Khan-Huang-Liang (KHL), Zerilli-Armstrong (Z-A), and Gao-Zhang (G-Z), in predicting the dynamic behaviors of materials. The second is to obtain an improved constitutive model to better describe the deformation of materials under ultra-high strain rates. To this end, high strain rate tests were carried out on different crystalline structures, i.e., BCC, FCC, and HCP over a wide range of strain rate from 102 s−1 to 1.5 × 104 s−1. It was found that before the critical strain rate, around 104 s−1, all of the previous models can predict the flow stresses. When the strain rate passes a critical point, however, these models fail to predict the sudden upsurge of the flow stresses. The improved model developed in this paper, by considering the dislocation drag mechanism, can successfully characterize the dynamic behaviours of materials over the whole range of strain rates.

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Acknowledgement

This research was financially supported by an ARC Discovery Project (DP170100567) and was undertaken with the assistance of resources provided at the NCI National Facility systems at the Australian National University and Intersect Australia Ltd.

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Correspondence to Liangchi Zhang.

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This paper was significantly extended and modified from the original paper presented in Asia-Pacific Symposium on Engineering Plasticity and its Applications 2018, and recommended by the Scientific & Technical Committee for journal publication.

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Sedaghat, H., Xu, W., Zhang, L. et al. On the Constitutive Models for Ultra-High Strain Rate Deformation of Metals. Int.J Automot. Technol. 20 (Suppl 1), 31–37 (2019). https://doi.org/10.1007/s12239-019-0125-5

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  • DOI: https://doi.org/10.1007/s12239-019-0125-5

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