Creep-rupture lifetime simulation of unidirectional metal matrix composites with and without time-dependent fiber breakage

A numerical simulation for predicting the axial creep-rupture lifetime of continuous fiber-reinforced metal matrix composites is proposed, based on the finite element method. The simulation model is composed of line elements representing the fibers and four-node isoparametric plane elements representing the matrix. While the fibers behave as an elastic body at all times, the matrix behaves as an elasto-plastic body at the loading process and an elasto-plastic creep body at the creep process. It is further assumed in the simulation that the fibers are fractured not only in stress criterion but time-dependently with random nature. Simulation results were compared with the creep-rupture lifetime data of a boron-aluminum composite with 10% fiber volume fraction experimentally obtained. The simulated creep-rupture lifetimes agreed well with the averages of the experimental data. The proposed simulation is further carried out to predict a possibility of creep-rupture for the composite without time-dependent fiber breakage. It is finally concluded that the creep-rupture of a boron-aluminum composite is closely related with the shear stress relaxation occurring in the matrix as well as time-dependent fiber breakage.     

扩展重要抽样法及其在平尾转轴可靠性分析中的应用

提出了扩展重要抽样法，用以计算结构系统的多个失效模式中含有不全相同基本随机变量时的系统失效概率。通过构造扩展重要抽样法的抽样密度函数，给出该方法失效概率的估计值，以及其方差和变异系数的计算公式。并将此方法用于某型飞机平尾转轴的可靠性分析，算例结果表明其优越性。     

结构可靠度模拟的方向重要抽样法

方向抽样法是结构可靠度Monte—Carlo模拟的方法之一。同其他的抽样方法一样，为提高抽样效率，需进行重要抽样。本文提出一种新的方向重要抽样法，该方法通过构造以验算点为球心的椭球，将以验算点为抽样中心的方向矢量变换为以原坐标系原点为中心的方向矢量，进而建立重要方向抽样的失效概率估计公式。在这种方法中，所构造的椭球半轴的长度为待定参数。分析表明，对于实际结构中的非闭合型极限状态方程，理论上应使与极限状态曲面正交的半轴的长度大于由一次二阶矩方法计算的可靠指标，本文建议取可靠指标值的1．1—1．2倍，其余半轴的长度可通过优化确定，本文采用了边模拟边优化的方法。算例分析表明，本文方法可以大大提高模拟的效率和精度，在随机变量数目较多时效果更为明显。     

刻周期半圆弧槽窗片对次级电子倍增效应的抑制

为了抑制高功率盒形窗内的次级电子倍增效应,研究了一种刻周期半圆弧槽窗片结构. 通过对槽内电场进行分析,证明了半圆弧状槽可以有效避免尖锐边界的局部场增强效应. 利用蒙特卡罗随机算法对槽内的次级电子倍增效应进行数值模拟,跟踪次级电子的轨迹及发展趋势,获得了不同槽宽所对应的抑制次级电子倍增最低电场强度. 讨论了法向电场对半圆弧槽抑制次级电子倍增的影响. 该结构有望在高功率速调管中获得应用. 关键词： 盒形窗 半圆弧槽 次级电子倍增 蒙特卡罗模拟     

菲涅耳波带板X射线成像的快速计算方法

菲涅耳波带板直接成像,应用到激光等离子体或惯性约束聚变靶的X射线成像诊断,可实现μm甚至亚μm的空间分辨能力。在对成像进行数值模拟时,考虑到光源的光谱带宽和几何尺度对成像的影响,要进行菲涅耳-基尔霍夫衍射积分与卷积等数值计算,需占用大量计算机内存并且耗费运行机时。改进了数值计算方法,采用了蒙特卡罗积分法和新的卷积算法。模拟了菲涅耳波带板对大尺度多色X射线源的二维成像,新算法与以往算法相比,可显著减少运算机时,在台式机上实现模拟成像的快速计算。结果表明随着光源尺度增大、光谱带宽增加,像的背景增强,导致反衬度与成像质量下降。     

Cloud 3D effects on broadband heating rate profiles: I. Model simulation

Solar broadband heating directly drives the atmospheric and ocean circulations, and is largely determined by cloud spatial 3-diminesional (3D) structures. To study the cloud 3D effects on radiation, a 3D broadband Monte-Carlo radiative transfer model, along with an Independent Pixel/Column Approximation (IPA) method, is used to simulate radiation and heating rate of three typical cloud fields generated by cloud resolving models (CRM). A quantitative and statistical estimation of cloud 3D effects has been developed to investigate the impact of cloud 3D structures on both heating rate strength, STD_Bias, and vertical distribution, CorrCoef. The cloud 3D structures affect some clouds more in heating rate strength and others more in vertical distribution. It is crucial to use the combination of CorrCoef and STD_Bias for better quantitative evaluation of the 3D effects. Furthermore, there is no simple way to define a critical resolution (or average radius), within which the IPA heating rate profiles closely represent the true 3D heating rate profiles. The critical radius (or resolution) strongly depends on solar incident angle as well as cloud vertical distribution. Also, the critical radii for clear-sky columns are larger than for cloudy columns, although the corresponding STD_Bias for clear-sky columns are smaller than for cloudy columns. Analysis based on two different statistical average methods illustrates that the cloud 3D effects due to the dimensionality difference between the 3D clouds (circle average) and 2D clouds (line average) significantly impact on the heating rate profiles.     

Lattice model studies of CO oxidation kinetic oscillation over nano-scaled Pt particle: Effect of temperature variation and diffusion

Monte-Carlo technique was applied to simulate the nonisothermal oxide formation/removal model for kinetic oscillation of carbon monoxide oxidation over nano-scaled catalysts. The nonisothermal oxide model interprets kinetic oscillation more properly with shorter oscillatory period and lower maximum CO coverage. Two channels transferring the system back and forth between low and high rate states are necessary to achieve kinetic oscillation. Oxide formation switches the state from high to low rate and found no changes in nonisothermal condition. Oxide removal reverses the process and it is accelerated in nonisothermal simulations cutting low rate period. The role of CO diffusion was found important for the kinetic oscillation. Without CO diffusion, oxide formation rate is increased keeping oxide coverage constant. Thus, the nondiffusive system is always in low reactive state.     

飞秒电子衍射系统中调制传递函数的理论计算

主要介绍了飞秒电子衍射系统的组成及设计指标. 包括光电阴极、电子聚焦系统、电子偏转系统、双微通道板(MCP)电子探测器等，并给出了基本的设计思路、设计结果. 光电阴极是由位于蓝宝石晶体上面的银膜构成，为了获得足够小的电子束斑以及减小电子上靶时的角度，紧贴栅极后放置一个100μm的小孔，对电子束的形状和大小进行限制. 采用磁电子透镜进行聚焦，电子衍射图样由放置在样品后面的双MCP像增强器进行探测. 在设计计算时，用Monte Carlo方法对光电子的初能量、初角度以及初位置分布进行抽样，用有限元法计算磁透镜 关键词： 飞秒电子枪 有限元法 Monte Carlo模拟 调制传递函数     

Measure concentration in optimization

We discuss some consequences of the measure concentration phenomenon for optimization and computational problems. Topics include average case analysis in optimization, efficient approximate counting, computation of mixed discriminants and permanents, and semidefinite relaxation in quadratic programming.     

Uncertainty evaluation from Monte-Carlo simulations by using Crystal-Ball software

The first Supplemental Guide to the current edition of the Guide to the expression of uncertainty measurement (GUM) deals with the propagation of distributions, and emphasizes the use of Monte-Carlo Simulation (MCS) for estimating the uncertainty of measurands. In order to carry out MCS we need computer programs for generating pseudo-random numbers and for solving numerically the integral equations arising when simulating the values of the specification variables with a given probability density function (PDF). Crystal-Ball commercial software is very suitable for performing MCS and to estimate the expanded uncertainty for the measurand. The use of Crystal-Ball is illustrated with two working examples dealing with specification models of non-linear features and with correlated variables (such as the slope and intercept of calibration straight lines), respectively.An erratum to this article can be found at