A Method to Calculate the Dislocation Density of a TWIP Steel Based on Neutron Diffraction and Synchrotron X-Ray Diffraction

doi:10.11900/0412.1961.2020.00016

Acta Metall Sin

2020, Vol. 56

Issue (4): 487-493 DOI: 10.11900/0412.1961.2020.00016

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A Method to Calculate the Dislocation Density of a TWIP Steel Based on Neutron Diffraction and Synchrotron X-Ray Diffraction

LI Yizhuang^1,²,HUANG Mingxin^1,²(

)

^1.Department of Mechanical Engineering, The University of Hong Kong, Hong Kong 999077, China
^2.Shenzhen Institute of Research and Innovation, The University of Hong Kong, Shenzhen 518057, China

Cite this article:

LI Yizhuang,HUANG Mingxin. A Method to Calculate the Dislocation Density of a TWIP Steel Based on Neutron Diffraction and Synchrotron X-Ray Diffraction. Acta Metall Sin, 2020, 56(4): 487-493.

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Abstract

The modified Williamson-Hall method, which has been widely used to calculate dislocation densities of high-strength steels and other structural alloys, is re-examined in this work, and is further applied to calculate the dislocation density of a deformed twinning-induced plasticity (TWIP) steel by using its neutron diffraction patterns and synchrotron X-ray diffraction patterns. This paper aims not only to promote the proper use of the method but also to shed light on its underlying pre-requisites and assumptions, and is thus expected to help avoid any errors during its usage.

Key words: modified Williamson-Hall method dislocation density TWIP steel neutron diffraction synchrotron X-ray diffraction

Received: 13 January 2020

ZTFLH:

TG115，TG142

Fund: National Key Research and Development Program of China(2019YFA0209900);National Natural Science Foundation of China(U1764252);Research Grants Council of Hong Kong(17255016);Research Grants Council of Hong Kong(17210418);Research Grants Council of Hong Kong(R7066-18)

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	Yizhuang LI
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https://www.ams.org.cn/EN/10.11900/0412.1961.2020.00016 OR https://www.ams.org.cn/EN/Y2020/V56/I4/487

Fig.1 Synchrotron XRD patterns (blue) and neutron diffraction patterns (red) of the undeformed and deformed twinning-induced plasticity (TWIP) steel (K is the reciprocal of the lattice spacing)Color online

Fig.2 The relationship between ΔK and K of the undeformed TWIP steel and the standard sample (ΔK is the full width at half maximum (FWHM) of the corresponding diffraction peak at K)Color online

Fig.3 The relationships between ΔK (corrected) and K of the deformed TWIP steel measured by neutron diffraction and synchrotron XRD

Fig.4 The modified Williamson-Hall plots obtained by neutron diffraction and synchrotron XRD (β=(1.5φ_s+φ_t)/a, where a is the lattice constant; φ_s and φ_t are the probability of finding a stacking fault and a twin boundary in {111} planes, respectively; W_hkl is a factor to scale the faulting-induced peak broadening at different {hkl} reflections;

C ˉ

is the average dislocation contrast factor)

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