Analysis for twinning and slip in face-centered cubic crystals under axisymmetric co-deformation

The maximum work principle of Bishop-Hill was developed to analyze the axisymmetric co-deformation in face-centered cubic crystals (f.c.c.) for twinning on {111} 112 and slip on {111} 110 systems. The influence of ξ , the ratio of critical re- solved shear stress for twinning to slip, on the yield stress states and corresponding active slip or/and twinning systems for orientations in the standard stereographic triangle of cubic crystal was investigated systematically. The Taylor factors and the anisotropy of yield strength for three important orientations [100], [110] and [111] in orientation space were analyzed. It is found that the yield strength asymmetry for the case of axisymmetric de- formation of tension and compression can be explained based on the microscopic theory of crystal plasticity. The concept of orientation factor for twinning ability was proposed and the deformation mechanism map in the orientation space was established for the case of axisymmetric deformation. The deformation texture formation and development of f.c.c. crystals with low stacking fault energy for axisymmetric tension can be explained qualita- tively on the basis of analyzed results.     

基于几何特性的三次均匀B样条曲线构造描述

基于B样条曲线是分段的Bézier曲线段的集合这一数学特性,通过剖析三次均匀B样条曲线的数学表达及其几何意义,由曲线的几何特性给出了各曲线段Bézier点的几何表示。每段B样条曲线段(三次Bézier曲线段)对应的4个Bézier特征顶点,可以导出该曲线段的B样条基函数。依此为基础,描述了三次均匀B样条曲线构造的原理和过程,并给出了不同曲线段数情况下曲线特征构造和插值构造的相关公式。     

基于测量数据优化修匀的特性曲线样条插值方法

针对传感器特性曲线拟合存在的一些问题,提出了测量数据优化修匀思想以有效消除测量数据的随机误差.应用数值处理软件Matlab结合实验数据研究了基于不同修匀方案的特性曲线的三次样条插值表示并提供了可视化的结果.经过对比不难发现,依据优化修匀数据的三次样条插值误差明显减小,可应用于任意类型传感器或其它仪器仪表的特性曲线的描述与分析.     

On the ｛P2,P3｝-Factor of Cubic Graphs

Ler G = （ V, E） be a finite simple graph and Pn denote the path of order n. A spanning subgraph F is called a { P2, P3 }-factor of G if each component of F is isomorphic to P2 or P3. With the path-covering method, it is proved that any connected cubic graph with at least 5 vertices has a { P2, P3 }-factor F such that｜P3（F）｜P2（F）｜, where P2（F） and P3（F） denote the set of components of P2 and P3 in F, respectively.     

Low pressure synthesis of boron nitride with(C2H5)2O·BF3 and Li3N precursor

Cubic boron nitride(c-BN) was synthesized through benzene thermal method at a lower temperature of 300 ℃ by selecting liquid(C2H5)2O·BF3 and Li3N as reactants. Hexagonal boron nitride(h-BN) and orthorhombic boron nitride(o-BN) were also obtained. The samples were characterized by X-ray powder diffractometry and Fourier transformation infrared spectroscopy. The results show that all the BF3, BCl3 and BBr3 in the same family compounds can react with Li3N to synthesize BN since the strongest bond of B-F can be broken. Compared with BBr3, liquid (C2H5)2O·BF3 is cheaper, less toxic and more convenient to operate. Li3N not only provides nitrogen source but also has catalytic effect on accelerating the formation of c-BN at low temperature and pressure.     

局部构造C2连续的三次B样条插值曲线和双三次插值曲面

为了避免一般的局部插值算法生成的B样条曲线和曲面在段点处达不到理想的连续性以及出现多重内节点的问题,一种局部构造C2连续的三次B样条插值曲线和双三次插值曲面的方法被介绍。该方法借助节点插入算法逐步地迭代出样条控制顶点,其思想简单、几何直观、算法速度快,在曲线中夹直线段、尖点以及在曲面中夹棱边和平面都能比较容易实现。生成的曲线光滑度高、无重节点。文章最后还利用这种构造方法给出了一种在指定范围内按规定变形曲线的方法。     

SnO2 纳米传感器的灵敏度􀀁温度特性曲线拟合研究

对三次样条函数在纳米传感器输出特性曲线拟合中的应用进行了理论分析,应用软件Matlab6.5结合实验数据对掺杂苯的SnO2纳米传感器的灵敏度-温度特性曲线进行了拟合,结果表明三次样条曲线函数的拟合曲线光滑且精度高,相对误差在-0.2%～ 0.3%以内.     

复杂变形过程刚粘塑性有限元模拟的快速算法

基于加快刚塑性有限无法迭代收敛的三次因子法原理，首次建立了在刚粘塑性有限元迭代计算中确定减速因子的公式，并结合进退搜索法的优点，提出了改进的三次因子快速算法。并将该方法应用于自主开发的叶片三维刚粘塑性有限元模拟系统。计算结果表明，这种方法可以比原三次因子法更明显地改善迭代的计算速度和提高收敛的稳定性。     

C2连续近似弧长参数化曲线

§1.引言 一条参数曲线r:r=r(t),t∈[a,b]化为它自身的弧长为参数的过程称为弧长参数化,弧长参数化在参数曲线理论、CAD等中都有重要的应用价值。 理论上,参数曲线Γ:r=r(t)的弧长参数化由其弧长公式     

三次自然样条函数的凸性条件

提出了在等距情形下三次自然样条函数一系列凸性的充分条件，在某定之下，还得到了一些三次自然样条函数凸性的必要条件。