扩展有限元法(XFEM)及其应用

扩展有限元法(extended finite element method,XFEM)是1999年提出的一种求解不连续力学问题的数值方法, 它继承了常规有限元法(CFEM)的所有优点, 在模拟界面、裂纹生长、复杂流体等不连续问题时特别有效, 短短几年间得到了快速发展与应用. XFEM与CFEM的最根本区别在于, 它所使用的网格与结构内部的几何或物理界面无关, 从而克服了在诸如裂纹尖端等高应力和变形集中区进行高密度网格剖分所带来的困难, 模拟裂纹生长时也无需对网格进行重新剖分.重点介绍XFEM的基本原理、实施步骤及应用实例等, 并进行必要的评述. 单位分解概念保证了XFEM的收敛, 基于此, XFEM通过改进单元的形状函数使之包含问题不连续性的基本成分, 从而放松对网格密度的过分要求. 水平集法是XFEM中常用的确定内部界面位置和跟踪其生长的数值技术, 任何内部界面可用它的零水平集函数表示. 第2和第3节分别简要介绍单位分解法和水平集法;第4节和第5节介绍XFEM的基本思想、详细实施步骤和若干应用实例, 同时修正了以往文献中的一些不妥之处; 最后, 初步展望了该领域尚需进一步研究的课题.      

混合金属氧化物阳极在海水中的电化学性能

采用热分解方法制备钛基混合金属氧化物阳极 ,用扫描电镜对阳极涂层显微形貌进行了分析 ,并通过实海模拟试验考察了混合金属氧化物阳极在海水阴极保护系统中的使用性能 .SEM分析结果表明 ,混合金属氧化物阳极涂层呈多孔多裂纹的显微结构 ,与其它阳极材料相比 ,此种阳极具有更大的活性表面积 .电化学试验结果表明 ,混合金属氧化物阳极在海水中具有良好的电化学稳定性和电化学活性 ;此外 ,混合金属氧化物阳极在海水中的消耗率很低 ,属于不溶性的阳极材料 ,作为外加电流阴极保护的辅助阳极具有广泛的应用前景     

A characterization of level planar graphs

We present a characterization of level planar graphs in terms of minimal forbidden subgraphs called minimal level non-planar (MLNP) subgraph patterns. We show that an MLNP subgraph pattern is completely characterized by either a tree, a level non-planar cycle or a level planar cycle with certain path augmentations.     

L_(18)的一个案例及其研究

本文对正交设计Ｌ１８（６×３７）的一个案例及其分析方法重新进行了研究，阐述了正交试验设计中一些值得注意的问题     

State densities and spectrum fluctuations: information propagation in complex nuclei

At excitation energies in nuclei where the state density is unambiguously defined there is a sharp separation between the smoothed spectrum (which defines the density) and fluctuations about it which have recently been studied with a view to understanding some aspects of quantum chaos. We briefly review these two complementary subjects, paying special attention to: the role of the effective interaction in determining the density; the calculation of interacting-particle state and level densities, and of expectation values of interesting operators; the information about the effective nucleon-nucleon interaction which is carried both by the density and the fluctuations. Supported in part by the U.S. Department of Energy.     

Nonlinear level crossing in the infrared transitions of optically pumped far infrared laser media

In conjunction with the Stark field induced power enhancement in optically pumped far infrared lasers, absorption transitions in a degenerate two level system under the influence of an weak static Stark field have been analyed. A third order theory to the density matrix formalism leads to zero field level crossing signals for absorption in rate equation approximation and in Doppler limit. For fast relaxation among Zeeman sublevels, the zero field level crossing signal arises from population effect. Optoacoustic measurements have been carried out on the ₅,^qQ(16,8) absorption line of CH₃OH which produces the familiar 119-m laser with the CO₂ 9P(36) pump line. The optoacoustic absorption signals observed are well reproduced by the theoretical expression.     

Electrochemical disinfection – State of the art and tendencies

Electrochemical disinfection has gained increasing interest in many sectors of social and industrial life. The reason is the growing need to disinfect the air, water, and special surfaces of different nature such as drinking water, wastewater, pool water, and other water qualities or surfaces. New research studies are reported and discussed. A stronger orientation on engineering aspects is intended. Following tendencies can be identified - research on complex liquid systems, implementation of risks consideration seen from by-product formation, and better cooperation between researchers and industry oriented to improve cell design and disinfection technology. Partially, reaction kinetics is studied and discussed at higher levels of likelihood. Furthermore, it can be found that more and more research papers deal with hybrid technologies to create novelty, to use synergistic effects and to meet the demands of real system treatment under practical conditions. A major focus can be identified for wastewater treatment/disinfection emphasizing electrocoagulation and electro-photocatalysis.     

居民消费的计量经济模型实证分析

本文在凯恩斯的绝对收入假说的基础上，分析影响居民消费的其他原因，以及这些因素与消费的相关程度，建立计量经济学模型，并采用中国城镇居民的收入消费等统计资料，对消费函数进行实证分析。文中提出用线性二次指数平滑法估算居民对通货膨胀的预期，并指出不应将居民储蓄视为消费的单一方程计量经济学模型中的解释变量，进而有针对性地提出调节总需求的应对策略。     

贵州省城乡居民10年间膳食结构调查分析

调查了贵州省城乡居民膳食结构。结果表明，１９８２～１９９２年贵州居民膳食结构发生了较大改变，但与中国２０００年推荐膳食目标相比，仍有较大差距，特别是钙与某些维生素摄入量偏低。对此提出了建议。     

Optimal portfolio, consumption and retirement decision under a preference change

We investigate an optimal portfolio, consumption and retirement decision problem in which an economic agent can determine the discretionary stopping time as a retirement time with constant labor wage and disutility. We allow the preference of the agent to be changed before and after retirement. It is assumed that the agent's coefficient of relative risk aversion becomes higher after retirement. Under a constant relative risk aversion (CRRA) utility function, we obtain the optimal policies in closed-forms using martingale methods and variational inequality methods. We give some numerical results of the optimal policies. We also consider the relation between the level of disutility and the labor wage with the optimal retirement wealth level.