关于有限内循环群边传递的图

所指的图是有限的、单的、无向的且无孤立点,p,q,t是素数,m,r是正整数且满足r■1≡rq(modp).获得了关于有限内循环群边传递的图的完全分类,结果为:设Γ是一个图,G是一个阶为pqm或t2或8的内循环群,且G≤Aut(Γ),则Γ是G-边传递的当且仅当Γ同构于下列图之一:(1)qm-eCpqe,0≤e1;(4)pCqm,(q,m)≠(2,1);(5)pK1,1,m=1;(6)Cay(Zp,C),C={±rμ|μ∈Zq},m=1;(7)B(Zp,C),其中C={1-rj|j∈Zq},m=1;(8)Kp,1,m=1;(9)pKqm,1;(10)Kpqm,1;(11)Kqm,p;(12)pqeK1,qm-e,1≤e≤m;(13)qeK1,pqm-e,1≤e≤m;(14)qeKqm-e,p,1≤e2;(16)2K1,1,t=2;(17)t2K1,1;(18)tKt,1;(19)Kt,t;(20)Kt2,1;(21)2C4;(22)8K1,1;(23)2K4,1;(24)4K2,1;(25)K8,1.     

固相法制备新型KNN基近红外透明陶瓷

采用传统固相烧结工艺,注重烧结时的气氛控制,制备了铌酸钾钠(KNN)基无铅透明陶瓷xBa(Sc0.5Nb0.5)O3-(1-x)(K0.5N0.5)NbO3.并对其相结钩、微观结构、压电性能和透光率进行了研究.结果表明:该体系陶瓷具有准立方钙钛矿结构,没有其他杂相,晶粒大小与可见光波长相当,高度致密,无明显的晶界存在.在x=0.05时,d33最高可达到110 pC/N.同时该材料具有良好的透明性,在可见光范围内,透过率达到47％左右,近红外2500 nm处,透过率接近70％,是一种有望取代铅基透明陶瓷的环境友好型无铅透明陶瓷.     

一类满足非Ambrosetti—Rabinowitz型超二次条件的受追二阶Hamilton系统次调和解

考虑一类受迫的二阶Hamilton系统,其中q—Kq（t,q）＋Wq（t,q）=f（t）,其中K,W和f关于变量t都是T-周期的,K满足b1│q│^2≤K（t,q）≤b2│q│^2,W满足非Ambrosetti—Rabinowitz型超二次条件（△W（t,q）,q）-2W（t,q）≥d2│q│^-β（t）．对每个k∈N,利用山路引理的一个变形,可以证明上述系统存在非平凡的2kT-周期解（即次调和解）．     

交流阻抗谱法研究高压下CdSe的电学性质

利用集成在金刚石对顶砧上的测量微电路研究了CdSe粉末在高压条件下的交流阻抗谱,在低于2.8GPa时显示出两个交叠的半圆弧,在高于2.8GPa时显示出一个不完整的半圆弧和一个压缩的半圆弧,这表明在高压条件下CdSe粉末中始终存着两个电传导过程,分别对应于晶体内传导过程和晶界传导过程.运用等效电路法我们获得了CdSe晶体体电阻随压力的变化关系,分别在2.8GPa,10.0GPa和17.0GPa附近观察到了体电阻的异常变化,这些异常变化源于CdSe在高压条件下的结构相变和电子相变.     

交流阻抗谱法研究高压下CdS的电学性质

利用金刚石对顶砧(DAC)原位交流阻抗谱测量技术,研究了硫化镉(CdS)半导体粉末在高压下的电输运性质.结果表明,在高压条件下CdS中存在两个电传导过程,晶体内传导和晶界传导,而晶体内传导是其主要过程.通过选择合适的表象,获得了 CdS的体电阻随压力的变化关系,反映了CdS在高压下的相变过程:在2.7 GPa—3.6 ...     

复合法制备的(K0.48Na0.52)1-x（LiSb）xNb1-xO3无铅压电陶瓷性能研究

采用传统的固相反应法和普通的烧结工艺,分别制备了(K0.48Na0.52)1-x(LiSb)xNb1-xO3(x=0.055,0.060,0.065)和x=0.055,x=0.065按摩尔比1:1复合的无铅压电陶瓷样品(55-65),并对样品的压电、介电等性能进行了测试研究.实验结果表明:55-65不等同于x=0.060的组分,其压电性能远低于x=0.060的样品,进一步研究表明,相同烧结温度下,55-65样品的损耗较高,晶粒难以生长,相对较小,较小的晶粒可能在样品形变时产生的应力较大,这可能是55-65样品压电性能较低的原因.     

水稻体细胞无性系及其杂种F1粒形的遗传变异

比较了水稻体细胞无性系与供体亲本、体细胞无性系杂种F1与供体亲本杂种F1在8个谷粒性状上的差异,结果表明:体细胞无性系除千粒重及谷粒厚2性状显著小于亲本外,其余性状与亲本差异不显著;体细胞无性系杂种F1的长厚比显著大于亲本杂种F1,而谷粒厚则相反.聚类分析将53个体细胞无性系及53个相应的杂种F1分别聚为4类 ,R3及R1F2各类别间8个谷粒性状均存在极显著差异.R3与R1F2谷粒性状间的相关性表现也存在一定的差异.     

关于若干整数分拆问题

Y．Alavi,A．J．Boals,G．Chartrand,P．ErdSs和O．R．Oellermann提出下面的猜想：已知整数a1,a2,…,ak,满足n≤ai≤2n-2,1≤i≤k,且a1＋a2＋…＋ak=rt（n＋1）／2,则S=（1,2,…,n）包含有k个互不相交子集S1,S2,…,Sk,满足ai=∑（Si）,1≤i≤k。推广该猜想,得到下面的定理：已知整数a1,a2,…,ak,满足ai≥n,1≤i≤k,且a1＋a2＋…＋a4≤n（n＋1）／2,则S={1,2,…,n）包含有k个互不相交子集．S1,S2,…,Sk,满足ai=∑（Si）,1≤i≤k。由此定理易推出K．Ando,S．Gervacio和M．Kano证明的一个主要定理。参考文献中的一个错误同时被更正。     

Grain boundary characteristics and tensile properties of Ti14 alloy after semi-solid deformation

The microstructure and room-temperature tensile properties of Ti14, a new α+Ti₂Cu alloy, were investigated after conventional forging at 950℃ and semi-solid forging at 1000 and 1050℃, respectively. Results show that coarse grains and grain boundaries are obtained in the semi-solid alloys. The coarse grain boundaries are attributed to Ti₂Cu phase precipitations occurred on the grain boundaries during the solidification. It is found that more Ti₂Cu phase precipitates on the grain boundaries at a higher semi-solid forging temperature, which forms precipitated zones and coarsens the grain boundaries. Tensile tests exhibit high strength and low ductility for the semi-solid forged alloys, especially after forging at 1000℃. Fracture analysis reveals the evidence of ductile failure mechanisms for the conventional forged alloy and cleavage fracture mechanisms for the alloy after semi-solid forging at 1050℃.     

伽罗华环上λ-循环码的结构

一些重要的二元非线性码是Z4上线性码在Glay映射下的像集,因而需要对有限环上的线性码特别是循环码的研究给予特别关注.设p是素数,R=GR（ps,pms）是特征为ps并且元素个数为psm的Galois环,选定λ∈R并且λ是非零因子.设C是R上的长为n的线性码,如果c=（c0,c1,…,cn-1）∈C都有（λcn-1,c0,c1,…,cn-2）∈C,则称是R上长为n的λ-循环码.R上的λ-循环码可以等同于商环Rλn=R[x]/〈xn-λ〉中的理想.设xn-λ=f1…fk,fi=（xn-λ）/fi,其中f1,…,fk是R上两两互素,首项系数为1的基本不可约多项式,证明了Rλn中的任何理想都是形如〈pj fi＋〈xn-λ〉〉的一些理想的内直和,其中0≤j≤s,1≤i≤k;Rλn共有（s＋1）k个理想;R[x]/〈xn-λ〉是主理想环.     

稀土氧化物对液相烧结碳化硅的影响

采用AIN-稀土氧化物系统烧结助剂,通过液相烧结制备了碳化硅陶瓷．研究了不同稀土氧化物对烧结行为、烧结体显微结构和力学性能的影响．结果表明：Nd2O3-A1N,La2O3-A1N系统烧结失重较大,无法达到完全致密．Y203-A1N或AIN-Nd203-Y2O3,A1N-La203-Y20。系统可以在较低的温度下实现致密化;所有样品的晶粒细小,尺寸为1-2μm,无异常长大现象;在烧结体中除有高温烧结液相之外,还形成了稀土硅铝酸盐新相;致密的碳化硅陶瓷烧结体不但具有高硬度,而且断裂韧性高达6-8MPa·m^1/2     

图中具有指定性质的独立4-圈

主要给出了图G恰好含有s个K3和k-s个K4的最小度条件即:设G是一个简单图,s,k是两个正整数且s k,其中G的顶点个数n≥3s+4(k-s)+3,如果G中任意两个不相邻顶点的最小度之和σ2(G)≥4n-3s-8/|2|或者最小度δ(G)≥3n+2k-s-2/4,则G包含k个顶点不相交的圈C1,C2…Ck,并且Ci=K3其中1≤i≤s,Cj=K4其中sj≤k.     

Reverse-transformation austenite structure control with micro/nanometer size

To control the reverse-transformation austenite structure through manipulation of the micro/nanometer grain structure, the influences of cold deformation and annealing parameters on the microstructure evolution and mechanical properties of 316L austenitic stainless steel were investigated. The samples were first cold-rolled, and then samples deformed to different extents were annealed at different temperatures. The microstructure evolutions were analyzed by optical microscopy, scanning electron microscopy (SEM), magnetic measurements, and X-ray diffraction (XRD); the mechanical properties are also determined by tensile tests. The results showed that the fraction of stain-induced martensite was approximately 72% in the 90% cold-rolled steel. The micro/nanometric microstructure was obtained after reversion annealing at 820-870℃ for 60 s. Nearly 100% reversed austenite was obtained in samples annealed at 850℃, where grains with a diameter ≤ 500 nm accounted for 30% and those with a diameter >0.5 μm accounted for 70%. The micro/nanometer-grain steel exhibited not only a high strength level (approximately 959 MPa) but also a desirable elongation of approximately 45%.     

A TiCx reinforced Fe (Al) matrix composite using in-situ reaction

A new Fe matrix composite reinforced by the in-situ generated TiCx grains was prepared using the element Fe and Ti3AlC2 powders as the starting materials.Several hot-pressing temperatures were tried for exploring the phase transformation behavior from Ti3AlC2 to TiC x.Microstructures of the hot-pressed product were observed and analyzed.A tensile test was carried out for the new composite material,and the fracture face was analyzed.The results showed that the starting Ti3AlC2 was wholly decomposed and transformed into submicron TiC x grains at the hotpressing temperature above 1100℃.Most of the Al ions escaped from Ti3AlC2 were aggregated at the grain boundary of Fe grains,but a small amount of Al ions could be absorbed by Fe and formed Fe(Al) alloy around the surface of Fe grains.The prepared material exhibited a higher tensile strength of about 660 MPa and a uniform deformation of about 7%.     

固体电解质Li1＋2x＋2yAlxMgyTi2-x-ySixP3-xO12系统的合成及导电性能的研究

以LiTi2（PO4）3为基,煤矸石为原料经高温固相反应（900℃）制得系列锂离子固体电解质Li1＋2x＋2yAlxMgyTi2-x-ySixP3-xO12（以下简称Ti-Mg-Lisicon）.应用交流阻抗技术测定的电导率数据结果表明x=0.1,y=0.1的合成物室温电导率比较理想为1.30×10-4S/cm,而673 K时x=0.1,y=0.3的合成物的电导率最大,为2.60×10-2 S/cm。X射线衍射分析结果表明在x=0.1,y≤0.7x;=0.2y,≤0.6的组成范围内均得到空间群为R3c的合成物.     

冷轧工艺对取向硅钢初次再结晶织构的影响

研究了取向硅钢制备过程中常见的两种冷轧工艺,主要研究了一阶段冷轧与两阶段冷轧+中间退火工艺对初次再结晶组织及织构的影响.结果表明:采用两阶段冷轧+中间退火工艺制备以Cu2S为主抑制剂的取向硅钢,其初次再结晶平均晶粒尺寸为181μm,高斯晶粒的体积分数为06%,迁移性强的重位点阵晶界(Σ5+Σ9)和高能晶界(20°~45°取向偏差角)所占比例分别为18%和504%.与一阶段冷轧工艺相比,其初次再结晶晶粒较细,且高斯晶核与特征晶界所占的比例较高,有利于高斯晶粒发生二次再结晶.     

Influence of MnS particles on the behaviors of grain boundary migration in Fe-3%Si alloys

The precipitation behaviors of MnS particles at 900℃ in a hot deformed Fe-3%Si alloy were observed statistically. The ratio of MnS particles on dislocations and in grain boundaries was calculated based on a model concerning the second phase precipitation in supersaturated solid solution. It was indicated that the precipitation of MnS particles on dislocations prevailed. The coarsening process of MnS particles in grain boundaries determined the boundary mobility during the secondary recrystallization. However, the density difference of precipitated MnS particles inside the grains on both sides of a boundary will determine the migration direction of the boundary as well, besides the grain size effect. It was observed that the densities of MnS particles in two neighboring grains were commonly different, and the boundary tended to move towards the area with lower particle density. The factors, e.g. dislocation densities in differently oriented grains will affect the density of precipitated particles, in which the Goss grains with higher particle density could grow more easily.     

i_(2-x)Pb_xS_2Ca_2Cu_3Oy陶瓷的超导电性及显微结构分析

报道用直接烧结和二次烧结工艺制备Bi_(2-x)Pb_xSr_2Ca_2Cu_3Oy超导陶瓷,X=0.2,0.3,0.4,0.6,0.7。各样品的Tc(zero)>105K。对样品的显微结构分析表明,只有片状和层状晶粒是超导晶粒;掺Pb对超导相的形成和超导晶粒的生长均有重要-影响;直接烧结工艺有利于Tc(zero)的提高;二次烧结工艺有利于超导晶粒生长和消除杂相。     

中厚板中间坯冷却过程中晶粒长大及控制方法

为控制中厚板中间坯长时间待温导致的晶粒长大,研究了中间强制水冷却对奥氏体组织的影响．通过对Q345B钢和含Nb-Ti钢采用1050℃变形后快冷至1050-950℃预定温度保温的热模拟方法,确定了中间坯冷却过程中的晶粒尺寸变化规律,提出了中厚板冷却过程中晶粒长大的控制方法,建立了Q345B钢和含Nb-Ti钢在中间冷却过程中的晶粒长大模型．在中间冷却过程中,Q345B钢晶粒稳定性较差,而含Nb-Ti钢晶粒稳定性良好,归因于以铌为主的析出相对奥氏体晶界的钉扎作用．中间坯的强制冷却可控制奥氏体晶粒长大,63mm厚中间坯强制冷却可有效减小平均晶粒尺寸约20μm．在实际生产中,经中间强制冷却后16mm厚度Q345B钢板的冲击韧性提高25％-70％．     

Beneficial clock-rolling cycles on the microstructure uniformity of {111} grains in tantalum sheets

Controlling the texture of tantalum sheets is of critical importance to fabricate good sputtering targets. In the present study two tantalum sheets were produced by clock rolling to 70% thickness reduction in 1 or 2 cycles. The results show that the stored energy and grain subdivision within the {111} grains {<111>//normal direction (ND)} after 1 cycle are significantly higher than those after 2 cycles, leading to fast recrystallization kinetics and strong {111} recrystallized texture upon annealing. Simulations with Taylor model indicate that shear strain occurred on more slip systems in the 2-cycle sample, which could explain the formation of cell blocks in {111} grains.