热释电材料问题的通解与界面裂纹

该文讨论了热释电材料中的热弹性问题的一般解，进而求解了共线界面裂纹问题．利用Ｓｔｒｏｈ方法，把热释电材料的热弹性界面裂纹问题化为一向量形式的Ｈｉｌｂｅｒｔ问题，求出这一Ｈｉｌｂｅｒｔ问题的通解，进而求得了热释电材料热弹性界面裂纹的闭合解，得到了温度、热流、位移、电势、应力和电位移的全场解，得到了裂纹张开位移及电势差的精确表达式．在此基础上，还求得了均匀热释电体中单个热弹性裂纹裂尖场，单个界面裂纹裂尖场以及点热源与界面裂纹的作用．此外，该文还对界面裂纹顶点附近的端部场作了渐近分析．     

含界面刚性线夹杂与广义压电位错双压电介质的电弹性分析

研究了双压电材料中广义压电位错与分布于界面的刚性共线线夹杂相互作用问题.基于线性压电理论Stroh框架,相应的混合边值问题,可化为常见的Hilbert问题.求解Hilben问题,得到存在界面刚性线夹杂与位错时,压电体内所有场变量的显式表达.给出了由于界面和刚性线夹杂的存在,作用于广义压电位错上的广义Peach-Koehler镜像力.对均匀压电材料这一特殊情况,给出了数值算例,讨论了位错对刚性线夹杂端部场强度因子的干涉和它们之间的相互作用.结果可作为求解界面刚性线夹杂与微裂纹交互作用问题的Green函数,也可作为边界元方法的核函数.     

Influence of sequential lithium insertions on the physical properties of spinel manganese oxide

We present first principles studies based on density functional theory (DFT) to investigate the lithium intercalation process in spinel manganese oxide compound. The lattice volume change, energetics, and insertion voltage were systematically examined upon sequential lithium insertions into the lattice. The charge transfer mechanism upon lithium intercalation was studied by analyzing the calculated spectra of density of states. © 2006 Wiley Periodicals, Inc. Int J Quantum Chem, 2007     

推进东莞市“第二次工业革命”建设高新技术产业区

本文以广东省委提出建立“珠江三角洲经济区”为背景,根据东莞市目前已有的条件,试图对我市经济发展作出一次新的定位,即“推进东莞市‘第二次工业革命’,建设高新技术产业区”,并描述了建成高新技术产业区的蓝图,提出了实现这一蓝图的措施。     

离子色谱法测定空气中的氨、肼和乙醇胺

建立了抑制型离子色谱同时检测空气中氨、肼和乙醇胺的分析方法,并应用于评价工作场所空气的安全性。空气中的氨、肼和乙醇胺经甲基磺酸（MSA）水溶液吸收后,用0.22 μm滤膜过滤,除去不溶颗粒。使用新型ThermoFisher IonPac CS19羧酸型阳离子交换分析柱（250 mm×4 mm）和CG19保护柱（50 mm×4 mm）,以淋洗液发生器产生的MSA作为流动相,等度洗脱,采用抑制型电导检测器,同时分离和检测铵、肼和乙醇胺。结果表明,铵、肼和乙醇胺的检出限分别为0.003、0.011和0.016 mg/L,RSD为0.98%~1.6%。本方法操作简便,样品无需衍生化等复杂的前处理过程,在15 min内可完成对铵、肼和乙醇胺3种组分的分离测定,有效缩短检测时间,提高工作效率,具有较高的实用价值。     

Protecting Qutrit Quantum Coherence

High dimensional quantum system plays a vital role in quantum information processing. However, decoherence induced by the coupling between quantum system and environment often destroys quantum resource. In this paper, we study the dynamics and protection of qutrit quantum coherence (QC) under amplitude damping (AD) decoherence. We propose two schemes to protect QC. We find that the first scheme can not always protect QC and the second scheme has prominent advantage over the first scheme. In addition, better protection requires lower success probability (SP).     

The interaction between crack and electric dipole of piezoelectricity

Discrete dipoles located near the crack tip play an important role in nonlinear electric field induced fracture of piezoelectric ceramics. A physico-mathematical model of dipole is constructed of two generalized concentrated piezoelectric forces with equal density and opposite sign. The interaction between crack and electric dipole in piezoelectricity is analyzed. The closed form solutions, including those for stress and electric displacement, crack opening displacement and electric potential, are obtained. The function of piezoelectric anisotropic direction,p _a (θ)=cosθ+p _a sinθ, can be used to express the influence of a dipole's direction. In the case that a dipole locates near crack tip, the piezoelectric stress intensity factor is a power function with −3/2 index of the distance between dipole and crack tip. Supported by National Natural Science Foundation of China(No. 10072033)     

采用瓣叶复合材料的生物心脏瓣膜的力学分析

采用微观组织结构分析及宏观复合材料分析结合的方法,分析了猪主动脉瓣的非线性复合材料性质,提出了一种适用于猪主动脉瓣的非线性复合材料本构模型,用提出的非线性复合材料本构模型,对闭合承载状态下的等厚度与变厚度几何模型的猪主动脉瓣的应力分布及变形进行了有限元数值模拟,发现：与各向同性瓣叶相比,单向增强复合材料的瓣叶不但具有较强的承载能力,而且具有较大的柔软性。     

Existence of solutions for a nonlocal epitaxial thin film growing equation

The existence of weak solutions is studied to the initial boundary problem of a nonlocal epitaxial thin film growing equation modeling epitaxial thin film growth. We adopt the method of parabolic regularization. After establishing some necessary uniform estimates on the approximate solutions, we prove the existence of weak solutions.     

多注RKA束流调制的理论与模拟比较分析

采用非线性理论探索了同轴多注相对论速调管放大器(CMRKA)的束波互作用特性,并与PIC结果进行了验证分析。首先推导了实心电子束的几何因子,然后分别给出了归一化调制电流和电子束动能的积分微分方程,并给出了多注速调管放大器的同轴输入腔间隙耦合系数的公式。对于束压为600 kV、束流为5 kA的16注电子束,当输入腔间隙电压分别为4.6,32.7,189 kV时,采用一维非线性理论和三维粒子模拟程序分别计算了基波电流调制系数和距离的关系,理论和模拟结果比较一致。当间隙电压为4.6 kV时,理论计算了多注电子数的个数分别为8, 12, 16以及实心电子束的半径与单注电子束通道半径比6/15, 8/15, 10/15(通道半径不变)时基波电流调制系数随传输距离的变化。结果表明,随着多注电子数的个数和电子束半径的增加,基波电流调制系数有逐渐变大的趋势。此外还计算了当间隙电压为20 kV时,归一化电流和归一化电子束动能随时间的变化和归一化常数N(z)与调制电流的n次谐波的电流调制系数随传输距离的变化。