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Correction of Elastic Anisotropy in Williamson-Hall Plots by Diffraction Young’s Modulus and Direct Fitting Method

机译:衍射杨氏模量和直接拟合法校正威廉姆森-霍尔图中的弹性各向异性

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It is known that the micro-strain in cold worked iron can be evaluated by the classical Williamson-Hall method using the three data of diffraction peaks: {110}, {211} and {220}. It is not clarified that the obtained value gives the true micro-strain or not. In addition, the accuracy of analysis is not so high because the diffraction strength from {220} plane is generally very weak. In this paper, three methods, i.e. classical Williamson-Hall method, Diffraction Young’s Modulus Correction method and Direct Fitting method, ware attempted to reconfirm the reasonability of the classical Williamson-Hall method and to estimate accurate values of the parameter α and the micro-strain ε in the Williamson-Hall equation. The results obtained are as follows: 1) Elastic anisotropy in the Williamson-Hall plots is corrected using the parameter ω which relates to the values of diffraction Young’s modulus. 2) The optimal values of parameter ω can be determined by the Direct Fitting method, which can be used to determine the timely orientation-dependent diffraction Young’s modulus (E ~(*)_(hkl)) in cold worked specimens. 3) It was confirmed that the classical Williamson-Hall method can generally give reliable values for the parameter α and the micro-strain ε . 4) No large difference is found for the values of micro-strain ε from the three methods. 5) There is a clear linearity between the micro-strain ε and yield stress in cold rolled iron specimens.
机译:众所周知,冷加工铁中的微应变可以通过经典的Williamson-Hall方法,使用三个衍射峰数据:{110},{211}和{220}进行评估。尚不清楚所获得的值是否给出了真实的微应变。另外,由于从{220}面的衍射强度通常非常弱,因此分析的准确性不是很高。本文介绍了三种方法,即经典的Williamson-Hall方法,衍射杨氏模量校正方法和直接拟合方法试图验证经典Williamson-Hall方法的合理性,并估计参数α和微应变ε的准确值在威廉姆森霍尔方程式中。获得的结果如下:1)使用与衍射杨氏模量值有关的参数ω校正Williamson-Hall图中的弹性各向异性。 2)可以通过直接拟合法确定参数ω的最佳值,该方法可用于确定冷态下及时取向相关的衍射杨氏模量( E〜(*)_(hkl))工作样本。 3)证实经典的Williamson-Hall方法通常可以给出参数α和微应变ε的可靠值。 4)从三种方法中发现的微应变ε值没有太大差异。 5)在冷轧铁试样中,微应变ε和屈服应力之间存在明显的线性关系。

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