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国家自然科学基金(10726068)

作品数:3 被引量:6H指数:2
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拟贯穿剖分上分片代数曲线的Nther型定理被引量:3
2009年
代数曲线的Nther定理是代数几何中经典并且十分重要的结论.作为二元样条的零点集,分片代数曲线是经典代数曲线的推广.分片代数曲线的Nther型定理对研究二元样条空间的Lagrange插值有至关重要的作用.利用拟贯穿剖分的特点、二元样条的性质与代数几何的相关知识,给出了拟贯穿剖分上分片代数曲线的Nther型定理.
朱春钢王仁宏
关键词:二元样条分片代数曲线
Nther-type theorem of piecewise algebraic curves on quasi-cross-cut partition被引量:3
2009年
The effect of Pr substitution for Dy on the magnetic and magnetostrictive properties, anisotropy, spin reorientation and Mssbauer effect of a series of Tb0.3Dy0.7-xPrx(Fe0.9Al0.1)1.95 (x=0,0.1,0.20,0.25,0.30,0.35) alloys at room temperature have been investigated. It was found that a small amount of Pr substitution is beneficial to a decrease in the magnetocrystalline anisotropy for the Tb0.3Dy0.7-xPrx(Fe0.9Al0.1)1.95 alloys. The magnetostriction decreases drastically with increasing x and the magnetostrictive effect disappears for x>0.2. However, the magnetostriction exhibits a slightly bigger value at x=0.1 than the free alloys and is saturated more easily with the magnetic field H. The saturation magnetization and Curie temperature decrease monotonously, but the spontaneous magnetostriction increases linearly with increasing x, whereas the spin reorientation temperature increases first, then decreases rapidly and reaches the maximum at x=0.1. The analysis of Mssbauer spectra indicated that the easy magnetization direction in the {110} plane deviates slightly from the main axis of symmetry with the Pr concentration x, namely spin reorientation. Compared with Al substitution for Fe, the effect of Pr substitution for Dy on spin reorientation is relatively small. The hyperfine field increases with Pr concentration increasing, and the isomer shifts and the quadrupole splitting (QS) show weak concentration dependence.
ZHU ChunGang & WANG RenHong School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, China
关键词:MAGNETOSTRICTIONANISOTROPYMSSBAUER
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