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Crystal plasticity modeling of strain rate and temperature sensitivities in magnesium

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Abstract

This paper develops a single-crystal plasticity model with Johnson–Cook-type hardening laws to examine the strain rate and temperature sensitivities of magnesium (Mg). Slip, twinning and their interactions are deemed the dominant plastic mechanisms. The twinning-induced lattice reorientation is implemented by taking the initial grain after reorientation as a “new” grain with an updated orientation. Distinct strain rate and temperature dependences are considered for different slip and twinning modes. Non-basal slip is believed strain rate and temperature dependent, while compression twinning (CT) is assumed to exhibit temperature sensitivity in a certain temperature range. To validate the proposed model, plane-strain compression tests of Mg crystals under different strain rates and temperatures are simulated. The experimental data available in the literature are compared with the predicted results, and the tendencies of stress–strain curves are analyzed based on the corresponding evolution of slip and twinning. It is found that twinning-induced lattice reorientation significantly influences the mechanical behavior of Mg, especially when tension twinning (TT) dominates the plastic deformation. High temperatures and low strain rates enhance the activity of non-basal slip, and CT becomes easily activated as the temperature is increased beyond \(150\,^{\circ }\hbox {C}\), which coincides well with experimental observations. The strain rate sensitivity rising with temperature is also predicted by the model.

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Acknowledgements

The work was supported by the National Science Foundation of China (Grant No. 11672119), Jiangsu Science Fund for Youth (BK20140520), the Jiangsu University and Jiangsu Specially-Appointed Professor grants, and partially by NSFC 11520101001. A.K. Soh is supported by the 2017 Monash University Malaysia Strategic Large Grant Scheme (Project code: LG-2017-04-ENG), the Advanced Engineering Programme Cluster funding and School of Engineering, Monash University Malaysia is acknowledged.

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Authors and Affiliations

  1. Faculty of Civil Engineering and Mechanics, Jiangsu University, Xuefu Road 301, Zhenjiang, 212013, Jiangsu Province, China

    Wen Wang & Jinxing Liu

  2. School of Engineering, Monash University Malaysia, Jalan Lagoon Selatan, 47500, Bandar Sunway, Selangor Darul Ehsan, Malaysia

    Ai Kah Soh

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  1. Wen Wang
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Correspondence to Jinxing Liu.

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Wang, W., Liu, J. & Soh, A.K. Crystal plasticity modeling of strain rate and temperature sensitivities in magnesium. Acta Mech 230, 2071–2086 (2019). https://doi.org/10.1007/s00707-019-2374-9

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