Constitutive Behavior of Bimodal Nanocrystalline Materials

doi:10.11901/1005.3093.2015.12.889

Chinese Journal of Materials Research

2015, Vol. 29

Issue (12): 889-894 DOI: 10.11901/1005.3093.2015.12.889

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Constitutive Behavior of Bimodal Nanocrystalline Materials

Yingguang LIU(

),Rongyuan JU,Huijun LI,Guangyi ZHAO

School of Energy and Power Engineering, North China Electric Power University, Baoding 071003, China

Cite this article:

Yingguang LIU,Rongyuan JU,Huijun LI,Guangyi ZHAO. Constitutive Behavior of Bimodal Nanocrystalline Materials. Chinese Journal of Materials Research, 2015, 29(12): 889-894.

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Abstract

Bimodal nanocrystalline (BNC) materials composed of coarse grains (CG) and nanocrystalline grains (NG), have both high strength and good ductility. In this paper, a new constitutive model was proposed by using Taylor strength theory and the Johnson-Cook modelto analyze the effect of grain size and nano-cracks on the constitutive/failure behavior of BNC materials. Numerical calculations have been carried out according to the model. It was found that the prediction result is in good agreement with experimental data. It can be concluded from the calculations that in BNC materials, (1) NC matrix can provide high strength, whereas CG can induce strain hardening to enhance its ductility, (2) the existence of nano-cracks does not lead to materials failure but a positive effect on strain hardening.

Key words: metal materials constitutive behavior bimodal nanocrystalline materials Taylor strength theory Johnson-Cook model

Received: 12 May 2015

Fund: *Supported by National Natural Science Foundation of China No.51301069, National Natural Science Foundation of Hebei Province No.E2014502073 and Fundamental Research Funds for the Central Universities No.2014MS114

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	Rongyuan JU
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	Guangyi ZHAO

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https://www.cjmr.org/EN/10.11901/1005.3093.2015.12.889 OR https://www.cjmr.org/EN/Y2015/V29/I12/889

Fig.1 Schematics of bimodal grain size distributions

Fig.2 Schematics of nano-cracks in bimodal structure

Fig.3 Dependence of critical crack intensity factorKICon the angle θ made by the boundary plane and crack growth direction

Fig.4 Maximum number N*of dislocations that can be emitted from the crack tip along one slip plane as a function of grain sized

Table 1 Symbol and value of parameters in the model

Fig.5 Calculated stress-strain relations for BNC Cu-Ag materials with different nanocrystalline matrix grain size

Fig.6 Calculated stress-strain relations for BNC Cu-Ag materials with different CG contents

Fig.7 Influence of the back stress on the plastic deformation of BNC Cu-Ag materials

Fig.8 X-ray diffraction (XRD) spectra of the sample synthesized using high temperature and high pressure method

Fig.9 Scanning electron microscopy (SEM) image of the BNC Cu-Ag materials

Fig.10 Comparison of the stress-strain relationship between the theoretical result and the experiment for BNC Cu-Ag materials

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