一个新的等参数奇异单元

本文推导得到了一个新的等参数奇异单元,它仍然是四边形四分之一节点奇异元。数值实验表明,它要比常用的四边形四分之一节点奇异元精度更好,使用这种单元可以使断裂问题的有限元计算效果更好。在计算过程中还利用到改进等参变换。     

负载型镍催化剂的磁性

用磁化学方法研究了浸渍在硅胶上的镍的分散度。对镍含量为0.05wt%至20wt%的一系列样品的磁性进行了测量。按磁化曲线的起始部分估算了含镍等于及小于1wt%镍的粒子大小。根据经验公式,计算了样品的饱和磁化强度。用Michel—Selwood方法得到了每个样品的粒子大小分布曲线。对部     

La1．6（MoO4）3∶Eu3＋0．4纳米晶合成及发光特性

采用燃烧法合成了La1．6（MoO4）3∶Eu3＋0．4纳米晶末,研究了其声子-掺杂-晶格相互作用和发光性质。 X射线粉末衍射（XRD）分析表明,在500～900℃退火后,La1．6（MoO4）3∶Eu3＋0．4样品为单一晶相。对样品进行了光致发光（PL）测量,激发Mo6＋-O2－电荷迁移带,观察到Eu3＋的系列发光,表明Mo6＋-O2－带和Eu3＋间存在能量传递,中心波长分别在λ1＝469 nm和λ2＝426 nm处的两个one-phonon边带,相应的声子能量分别为767和1202 cm－1,分别对应于Mo O和Mo—O—Mo伸缩振动。同时,计算了两个局域模电子-声子耦合强度的黄昆因子分别为S1＝0.055和S2＝0.037,为揭示其三价离子高传导特性及其负热膨胀物理特性提供了实验基础。     

Designing of endlessly single mode polarization maintaining highly birefringent nonlinear micro-structure fiber at telecommunication window by FV-FEM

An endlessly single mode highly polarization maintaining nonlinear microstructure fiber at telecommunication window is reported via full-vector finite element method. By taking three ring hexagonal PCF with suitable fiber parameter such as air hole diameter in cladding region d = 0.8 μm, pitch 2.3 μm and introducing four symmetrical large air holes near core region d′ = 2 μm, single mode (V_eff ≤ π), small effective mode area 2.7 μm², nonlinear co-efficient 44.39 W⁻¹ km⁻¹, high phase birefringence of the order of 10⁻³ and group birefringence of the order of 10⁻⁴ with beat length 0.3 μm at wavelength 1.55 μm are achieved.     

Alternating direction implicit schemes for the two-dimensional fractional sub-diffusion equation

New numerical techniques are presented for the solution of a two-dimensional anomalous sub-diffusion equation with time fractional derivative. In these methods, standard central difference approximation is used for the spatial discretization, and, for the time stepping, two new alternating direction implicit (ADI) schemes based on the L₁ approximation and backward Euler method are considered. The two ADI schemes are constructed by adding two different small terms, which are different from standard ADI methods. The solvability, unconditional stability and H¹ norm convergence are proved. Numerical results are presented to support our theoretical analysis and indicate the efficiency of both methods.     

Computational performance of Free Mesh Method applied to continuum mechanics problems

The free mesh method (FMM) is a kind of the meshless methods intended for particle-like finite element analysis of problems that are difficult to handle using global mesh generation, or a node-based finite element method that employs a local mesh generation technique and a node-by-node algorithm. The aim of the present paper is to review some unique numerical solutions of fluid and solid mechanics by employing FMM as well as the Enriched Free Mesh Method (EFMM), which is a new version of FMM, including compressible flow and sounding mechanism in air-reed instruments as applications to fluid mechanics, and automatic remeshing for slow crack growth, dynamic behavior of solid as well as large-scale Eigen-frequency of engine block as applications to solid mechanics.     

On Higher Order Pyramidal Finite Elements

In this paper we first prove a theorem on the nonexistence of pyramidal polynomial basis functions. Then we present a new symmetric composite pyramidal finite element which yields a better convergence than the nonsymmetric one. It has fourteen degrees of freedom and its basis functions are incomplete piecewise triquadratic polynomials. The space of ansatz functions contains all quadratic functions on each of four sub-tetrahedra that form a given pyramidal element.     

流体PVT的对应关系

本文依据对应态原理,提出新定义的对比压缩因子Zr=(1-Z)/(1-ZC)的无量纲交换式和对饱和温度的对比温度Tsr=T/Ts式,并根据两种流体工质对比压力Pr1=Pr2,对比温度Tsr1=Tsr2相等时,Zr1=Zr2相等的原则,导出了从一种已知PVT关系的物质推算它种物质的PVT值的通用方法。用本方法以水为标准物质推算了R12、R131、R134a、C2H4等几种物质在过热气体区、超临界区和液体区比容,计算值与文献实验值的平均偏差小于2,最大偏差小于4%。     

Direct dark matter search with CRESST and EURECA

The current status of the direct Dark Matter experiments CRESST (Cryogenic Rare Event Search with Superconducting Thermometers) and the planned EURECA (European Underground Rare Event Calorimeter Array) is presented. Both experiments are aimed at the direct detection of WIMPs (Weakly Interacting Massive Particles), potential candidates for the Dark Matter in the universe. New design developments of the cryogenic detectors operated at mK temperatures are investigated to optimize detector performance and to simplify mass production. Thus, CRESST is also providing a basis for the EURECA project, aimed at a ton of cryogenic detectors with a multi-material target.