Crystal plasticity analysis of texture development in magnesium alloy during extrusion

The texture development mechanism during the extrusion of magnesium alloy is investigated by experimental observation and numerical analysis. First, we perform a finite element analysis of a full extrusion process using a phenomenological constitutive equation, and it is confirmed that the loading condition of the extrusion process near the central axis of the billet is approximated by an equi-biaxial compression mode. Then, the equi-biaxial compression problem is adopted as a simplified boundary value problem to be solved using a crystal plasticity model to clarify the detailed texture development mechanism during the extrusion process. The crystal plasticity analysis of equi-biaxial compression successfully reproduces the texture development from an initial random texture to the final experimentally observed texture. The effects of the deformation modes (i.e. slip and twinning systems) implemented in the calculation and the reference stress ratio of basal to nonbasal slip systems on texture development are studied in detail. Finally, the mechanism of texture development during the extrusion process is discussed in terms of the lattice rotation caused by the activated slip systems.     

五角芯型保偏光子晶体光纤(Q-PM-PCF)的双折射

提出了一种内层空气孔环含有五个空气孔的新型高双折射光子晶体光纤结构;采用全矢量有限元法进行分析,研究了该光子晶体光纤两正交偏振模的有效折射率和双折射,分别给出了该五角芯型保偏光子晶体光纤双折射随输入光波长和大空气孔半径的变化曲线.分析结果表明:该五角芯型保偏光子晶体光纤的双折射很易达到i0-3量级甚至更高,比传统保偏光纤的双折射至少高出一个数量级,合理设计光纤结构参数,该保偏光纤的双折射在1550 nm处可以达到6.5×10-3以上,甚至更高,适合应用于偏振特性及稳定性要求都较高的实际光纤传感系统,例如光纤陀螺.     

Higher order log-concavity in Euler’s difference table

For 0≤k≤n, let be the entries in Euler’s difference table and let . Dumont and Randrianarivony showed equals the number of permutations on [n] whose fixed points are contained in {1,2,…,k}. Rakotondrajao found a combinatorial interpretation of the number in terms of k-fixed-points-permutations of [n]. We show that for any n≥1, the sequence is essentially 2-log-concave and reverse ultra log-concave.     

Extremum of second-order directional derivatives

In this paper, the extremum of second-order directional derivatives, i.e. the gradient of first-order derivatives is discussed. Given second-order directional derivatives in three nonparallel directions, or given second-order directional derivatives and mixed directional derivatives in two nonparallel directions, the formulae for the extremum of second-order directional derivatives are derived, and the directions corresponding to maximum and minimum are perpendicular to each other.     

级差最大的人的全面发展评价模型及省份实证

根据"坚持以人为本,树立全面、协调、可持续的发展观,促进经济社会和人的全面发展"的科学发展观的内涵,通过指标的海选、筛选和理性分析构建了人的全面发展综合评价指标体系.论文通过标准离差法、G1法和熵值法3种赋权方法对评价体系赋权,并通过级差最大化求得组合权重,并对我国2006年典型的14个省级行政区人的全面发展状况进行实证分析.本文的创新与特色一是通过国民幸福指数、基尼系数等31个指标建立基于科学发展观的指标体系来反映人与社会和谐、人与自然和谐、人与人和谐.二是在对不同评价得分的处理中,通过使第i个评价对象调整后的得分与所有m个评价对象的新得分的均值的偏离程度最大来确定最终的组合权重;改变了用不同的方法其评价得分截然不同的现象.研究结果表明,影响我国省级行政区的人的全面发展最主要的因素是每万人律师数、人均安全水资源拥有量、农村居民非农业就业比率,而第三产业占CDP比重、出生时的平均预期寿命、三废处理达标率则影响很小.     

五维热传导方程的一族两层显格式

构造了五维热传导方程的一族两层显格式,证明了当截断误差阶为O（τ＋h2）时,其稳定性条件为网比r=hτ2≤21,优于同类的其它显格式,当截断误差阶为O（τ2＋h2）时,可以得到一个简洁而实用的二阶精度的两层显格式.     

Some sufficient conditions on the number of non-abelian subgroups of a finite group to be solvable

Thompson’s theorem indicates that a finite group with a nilpotent maximal subgroup of odd order is solvable. As an important application of Thompson’s theorem, a finite group is solvable if it has an abelian maximal subgroup. In this paper, we give some sufficient conditions on the number of non-abelian subgroups of a finite group to be solvable.     

Line-primitive Linear Spaces with Fang-Li Parameter gcd（k,r） at Most 12

Let G be a subgroup of the automorphism group of a non-trivial finite linear space S. In this paper we prove that if G is line-primitive with Fang-Li parameter gcd(k, r) = 11 and 12, then G is also point-primitive. This extends the results of Fang and Li (1993) and Li and Liu (2001) which combined gives the result for gcd(k, r) ≤ 10.