各向异性材料中反平面剪切型裂纹对应力波散射的非局部理论解

利用非局部理论求解了各向异性材料中反平面剪切型裂纹对应力波散射的问题.利用富立叶变换,使问题的求解转换为对一对以裂纹面上位移分布为变量的对偶积分方程的求解;为了求解对偶积分方程,裂纹面上的位移直接展开成雅可比多项式形式.与经典理论的解相比,裂纹尖端处不再有应力奇异性出现,非局部弹性解的应力在裂纹尖端处是一有限值,从而可以利用最大应力假设作为断裂准则.     

具有DM相互作用的各向异性XY模型的保真度

采用保真度和保真率的方法研究了具有Dzyaloshinskii-Moriya(DM)相互作用的各向异性XY模型的量子相变.数值研究了保真度和保真率在量子相变点附近的行为,结果表明采用保真度和保真率方法研究该模型的量子相变切实可行.     

Magnetoresistance of the thin film ferromagnetic nanoconstrictions

The magnetoresistance and I-V characteristics at different temperatures of the thin film ferromagnetic nanoconstrictions of variable width (from 20 to 250 nm) and 10 nm thicknesses, fabricated by electron beam lithography and vacuum thin film deposition are compared. The magnetoresistance and resistance of the thin film ferromagnetic nanoconstrictions are not related to the width of the nanoconstrictions. Instead the resistance of the local nano-region in the middle of the thin film ferromagnetic nanoconstriction has only a minor role compared to that of the two microscale thin film ferromagnetic electrodes, which contribute the majority of the measured resistance. The magnetoresistances of the thin film ferromagnetic nanoconstrictions and a 0.2 cm × 0.8 cm thin ferromagnetic film deposited under the same conditions were also compared; the thin film ferromagnetic nanoconstrictions have higher magnetoresistances than the thin ferromagnetic film, which implies that the measured magnetoresistance of the thin film ferromagnetic nanoconstrictions comes mainly from the local nano-region in their centers. In conclusion, the measured magnetoresistance of the whole sample is similar to the anisotropic magnetoresistance, because the resistance of the two microscale thin film ferromagnetic electrodes is much higher than that of the local nano-region in the middle of the samples. Comparing the experimental results for the thin film ferromagnetic nanoconstrictions and the thin ferromagnetic film reveals that the magnetoresistance of the local nano-region in the middle of the sample is much higher than that of the two microscale thin film ferromagnetic electrodes attached to it.     

p~4阶群与李环结构之间的关系

继单群分类定理完成之后,有限p群逐渐成为有限群研究的热点.证明了在p~4阶群G关于其子群N(G)={a-pb-papbp,c-p2b-p2ap 2-pbp2c pa,b,c∈G}的商群中定义加法和Lie乘运算为aN(G)bN(G)=(ab)pN(G),aN(G)bN(G)[a,b]N(G),则GN(G)成为Lie环.由于Lie环的可算性,这一结论有利于对p4阶群的结构进行研究.     

最高阶元素的个数不超过4或为奇数的有限群结构(英文)

获得了有限群G的最高阶元素集合M(G)的基数是2或4或为奇数时,群G的构造。     

不同群体对旅游信息传播渠道的评价研究

在调查问卷的基础上,本文研究不同群体在收集旅游信息时,对网络、报纸、电视、广播、旅行社、亲朋好友、杂志、旅游宣传册等渠道的评价.评价由六个方面指标组成,结果表明,公众的性别、年龄、受教育程度、月收入都对他们的信息渠道评价和使用有影响,根据研究结果,市场营销人员可以选择更适合的信息传播渠道,提高信息传播效率和营销效果.     

Synthesis of a novel multi-SO3H functionalized strong Brønsted acidic ionic liquid and its catalytic activities for acetalization

The novel multi-SO3H functionalized strong Bronsted acidic ionic liquid has been prepared and its catalytic activities were investigated through the acetalization. The results showed that the novel catalyst was very efficient for the reaction with the average yield over 90% under solvent-free condition at room temperature. Operational simplicity, without need of any solvent, a small amount of usage, low cost of the catalyst used, high yields, applicability to large-scale reactions and reusability are the key features of this methodology. The novel catalyst also has great potential for the green process.     

积极服务弱势群体 拓展支持起诉领域

文章结合长治市城区人民检察院民行起诉工作的尝试，论述了通过开展支持起诉工作，有力地维护了弱势群体的合法权益。     

非正规子群的共轭类类数为3的p^aq^br^c阶群

给出了非正规子群的共轭类类数为3的p^aq^br^c阶群的分类。     

GL(n,k)在GL(n,F)中的扩群

当F是无限域,K是F的子域,且[ F:K] < n(n - 1) 时,本文给出了GL(n ,k)在GL(n ,F) 中的全部扩群,从而得出GL( n,F) 的一类极大子群