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H-M反极图理论中测算加权因子ξ(hkl)的非近似方法——LG法
A PRECISION MEASURE OF MORRIS WEIGHTED FACTOR ξ(hkl) IN HARRIS-MUELLER INVERSE POLE FIGURE——LG METHOD
【摘要】 提出了一种测算Harris-Mueller反极图制作过程中加权因子ξ(hkl)的非近似方法(LG法)。用这种方法计算(hkl)极点轴密度P(hkl)的表达式为P(hkl)=IIs((hhkkll))/i∑=n1II(s(hhkkll))imj∑=-1241π80R°2.tg-1tgP2jtg(Pj2-αj)tg(Pj2-βj)tgPj2-γj/SB。与传统的各种测算ξ(hkl)的近似方法不同,该表达式的求解不涉及到任何近似假设,因此LG法测算的ξ(hkl)值中不再含有近似处理所导致的系统误差。Al-Mg-Sc-Zr合金板材反极图测算实验结果表明,由LG法所测算的H-M反极图精度显著地高于各种现行的近似方法。
【Abstract】 A new precision measuring and calculating method about weighted factor ξ(hkl) during preparation of Harris-Mueller inverse pole figure is presented in this paper.The calculation formula obtained by using this kind of method is as following P(hkl)=I(hkl)[]Is(hkl)/∑n[]i=1I(hkl)i[]Is(hkl)∑m-2[]j=14πR2[]180°tg-1tgPj[]2tg(Pj-αj)[]2tg(Pj-βj)[]2tgPj-γj[]2/SB.The numerical value of ξ(hkl) calculated by LG method no longer contains the systematic error resulted by the approximated processing.The experiment results of Al-Mg-Sc-Zr alloy plate show that the precision of H-M inverse pole figure calculated by LG method has the obvious superiority over other current approximated methods.
- 【文献出处】 理化检验(物理分册) ,Physical Testing and Chemical Analysis(Part A:Physical Testing) , 编辑部邮箱 ,2007年01期
- 【分类号】O213
- 【被引频次】1
- 【下载频次】51