Crack propagation in structures subjected to periodic excitation

In the present paper, a simple mechanical model is developed to predict the dynamic response of a cracked structure subjected to periodic excitation, which has been used to identify the physical mechanisms in leading the growth or arrest of cracking. The structure under consideration consists of a beam with a crack along the axis, and thus, the crack may open in Mode I and in the axial direction propagate when the beam vibrates. In this paper, the system is modeled as a cantilever beam lying on a partial elastic foundation, where the portion of the beam on the foundation represents the intact portion of the beam. Modal analysis is employed to obtain a closed form solution for the structural response. Crack propagation is studied by allowing the elastic foundation to shorten (mimicking crack growth) if a displacement criterion, based on the material toughness, is met. As the crack propagates, the structural model is updated using the new foundation length and the response continues. From this work, two mechanisms for crack arrest are identified. It is also shown that the crack propagation is strongly influenced by the transient response of the structure.

缓变任意截面渠道中的非线性周期波以及孤立波的分裂

本文研究了在流动方向有缓慢变化的任意截面渠道中的非线性周期波、孤立波以及孤立波在这种渠道中的分裂;导出了适用于这种渠道的变系数KdV方程,并求出了该方程的首项近似解;得出了波速、周期、波高和渠道几何尺寸之间的关系,得到了分裂后孤立波个数的判别式及分裂后孤立波波幅的表示式,并应用于矩形渠道和左右对称的三角形渠道。对于矩形渠道的情况,本文的结果和Madsen和Mei,Johnson,Svendsen和Buhr Hansen等人的结果一致。

一类平板组合结构的杂交有限元解法

<正> 1.引言由几块平板组成的空间结构在工程上得到广泛应用.其动力、静力问题是很难用经典材料力学和弹性力学方法解决的.有限元方法是解决这类问题的强有力手段.各国力学工作者已经发展了很多解决板壳问题的有限元素法,Zienkiewicz 等提出的位移法有限元公式是最常用的,这个元素的位移函数在边界上一阶法向导数不连续是它的最大缺点,另外一些人提出的位移法边界协调元素公式太复杂,而不为人们所

蒸发液层对流稳定性理论与实验研究进展

综述了蒸发液层稳定性理论分析和蒸发对流实验研究方面的最新进展．首先回顾历史上经典的单层流Marangoni不稳定性分析．利用经典的单层流模型可以很好解释无蒸发液层的稳定性特性，但是由于经典的单层流模型没有考虑蒸汽层与液层之间的动力学耦合关系，所以不能完全解释蒸发液层的Marangoni不稳定性特性．有的学者建立了考虑蒸汽层与液层的热耦合与动力学耦合关系的两层流模型，并采用了界面温度连续这样的假设．而在实验的观测中，蒸发界面处的温度是不连续的，特别是在蒸发量比较大的情况下，汽／液界面处温度跳跃很明显．由于界面温度连续假设在处于非平衡状态的系统中是不成立的，所以这些模型虽然能给出一些新的有关系统稳定性的特性，但还是不能完全解释蒸发液层的Marangoni不稳定性的特性，特别是为什么从底部冷却液层的时候，在实验中仍然能够观察到Marangoni对流涡胞的出现的原因．本文总结了前人的研究成果，同时给出了蒸发系统的动力学建模过程和实验研究方法，并对各种模型的稳定性特性进行了总结．最后，指出了现有理论中存在的问题和有待进一步研究的问题．

冲击载荷作用下容器壳体动态响应的初步数值研究

本文针对带椭球封头的爆炸容器,黑索今(RDX)在中心处的爆炸用点爆炸模型描述,利用四阶Runge-Kutta法求解一组常微分方程得到爆炸近场的自相似解。采用有限体积形式的PPM格式求解轴对称Euler方程,得到了容器内冲击波传播及其演化的图象。以计算得到的冲击载荷为基础,修改HONDO程序,壳体弹塑性模型采用J_2流动理论描述。对冲击波和壳体的耦合作用进行了初步的数值研究。计算结果表明:容器内爆炸冲击波和壳体中应力波的传播及其演化与物理上的定性分析结果是一致的。由于应力波传播速度较冲击波快,因此,在冲击波未到达的静止流场,流场出现扰动声波,并向中心传播。封头顶点附近出现最大变形。在中等载荷作用下,可忽略壳体变形对流场的影响。

板壳断裂力学

本书阐明了板壳断裂理论的基础。论证了Reissner型板壳断裂理论的科学性、经典板壳断裂理论的缺陷及在一定范围内仍具有的实用价值；介绍了作者所创意的研究Reissner型板壳断裂纹尖端场的方法等。

目录

Triangle Evolution-A Hybrid Heuristic for Global Optimization

Abstract This paper presents a hybrid heuristic{triangle evolution (TE) for global optimization. It is a real coded evolutionary algorithm. As in di®erential evolution (DE), TE targets each individual in current population and attempts to replace it by a new better individual. However, the way of generating new individuals is di®erent. TE generates new individuals in a Nelder- Mead way, while the simplices used in TE is 1 or 2 dimensional. The proposed algorithm is very easy to use and e±cient for global optimization problems with continuous variables. Moreover, it requires only one (explicit) control parameter. Numerical results show that the new algorithm is comparable with DE for low dimensional problems but it outperforms DE for high dimensional problems.

Experimental Study on the Combined Evaporation Effect and Thermocapillary Convection in a Thin Liquid Layer

The coupling mechanisms and flow characteristics of thermocapillary convection in a thin liquid layer with evaporating interface were studied. The planar liquid layer, with the upper surface open to air, was imposed externally horizontal temperature differences. The measured average evaporating rates and interfacial temperature profiles indicated the relative importance of evaporation effect and thermocapillary convection under different temperature gradients. A temperature jump was found at the interface, which was thought to be related to the influence of evaporation effect. All above mentioned results were repeated in a rarely evaporating liquid to compare the influence of evaporation effect.

Studies of ion energy and yield from argon clusters heated by intense femtosecond laser pulses

Using time-of-flight spectrometry, the interaction of intense femtosecond laser pulses with argon clusters has been studied by measuring the energy and yield of emitted ions. With two different supersonic nozzles, the dependence of average ion energy (E) over bar on cluster size (n) over bar in a large range of (n) over bar approximate to 3 x 10(3) similar to 3 x 10(6) has been measured. The experimental results indicate that when the cluster size (n) over bar <= 3 x 10(5), the average ion energy (E) over bar proportional to (n) over bar (0.5), Coulomb explosion is the dominant expansion mechanism. Beyond this size, the average ion energy gets saturated gradually, the clusters exhibit a mixed Coulomb-hydrodynamic expansion behavior. We also find that with the increasing gas backing pressure, there is a maximum ion yield, the ion yield decreases as the gas backing pressure is further increased.

消色差相位匹配在光参量啁啾脉冲放大中的应用

Optical parametric chirped-pulse amplification (OPCPA) supplies broadband gain for ultrashort pulses. A new theoretic explanation of OPCPA has been obtained by introducing the concept of tilted pulse front in this paper, and the distribution of broadband amplification has been twice expanded by introducing the technology of achromatic phase matching (APM). The prospect of APM in OPCPA has been discussed in detail. Finally, a design for the amplification of chirped pulses at 1600 nm has been firstly proposed and numerically simulated. (C) 2004 Elsevier B.V. All rights reserved.

Charge displacement in ultraintense laser-plasma interaction

The distribution of optical held and charge density in the interaction between ultraintense ultrashort pulse laser and plasma is studied by numerical computation. The plasma considered has an exponential density profile. which corresponds to isothermal expanding. Our calculation shows that electrons are pushed forward by the incident laser, but ions, due to their much greater inertia, remain stationary. The resulting charge displacement forms a strong electrostatic field in the plasma. After the interaction of laser pulse and plasma. electrostatic energy still exists even after the laser pulse and will be absorbed by the plasma finally. This serves as an explanation to the mechanism of laser energy deposited into plasma.

Comparison between complex amplitude envelope representation and complex analytic signal representation in studying pulsed Gaussian beam

Analytic propagation expressions of pulsed Gaussian beam are deduced by using complex amplitude envelope representation and complex analytic signal representation. Numerical calculations are given to illustrate the differences between them. The results show that the major difference between them is that there exists singularity in the beam obtained by using complex amplitude envelope representation. It is also found that singularity presents near propagation axis in the case of broadband and locates far from propagation axis in the case of narrowband. The critical condition to determine what representation should be adopted in studying pulsed Gaussian beam is also given. (C) 2004 Elsevier B.V. All rights reserved.

Modified porous silica antireflective coatings with laser damage resistance for Ti:sapphire

Porous SiO2 antireflective (AR) coatings are prepared from the colloidal silica solution modified with methyltriethoxysilane (MTES) based on the sol-gel route. The viscosity of modified silica suspensions changes but their stability keeps when MTES is introduced. The refractive indices of modified coatings vary little after bake treatment from 100 to 150 Celsius. The modified silica coatings on Ti:sapphire crystal, owning good homogeneity, display prominent antireflective effect within the laser output waveband (750-850 nm) of Ti:sapphire lasers, with average transmission above 98.6%, and own laser induced damage thresholds (LIDTs) of more than 2.2 J/cm2 at 800 nm with the pulse duration of 300 ps.

α-异噁唑偶氮基-β-二酮类衍生物及其互变异构体的光谱

研究了5种新型的具有不同结构的aα-异噁唑偶氮基-β-二酮类衍生物的红外光谱和紫外光谱，讨论了它们的酮式-烯醇式以及偶氮式．腙式之间的互变异构化现象。结果表明，所有化合物无论以固体形式或在溶液中均以腙式二酮体和偶氮式烯醇体的混合形式存在。各化合物的紫外吸收谱均呈双峰状，峰值分别处于246～262nm和326～339nm之间，其中，高波长吸收峰的强度明显高于低波长吸收峰强度，说明了各化合物中偶氮式烯醇体形式均多于腙式二酮体形式，其原因是由于各化合物中偶氮式烯醇体的异构体较多，且易以分子内氢键形式形成六元环，

青金石产地探源

青金石是一种最古老的玉石，也是东西方文化交流的见证之一。概述了青金石的产地来源和使用历史。利用质子激发X射线荧光（PIXE）、X射线衍射（XRD）、激光拉曼光谱（LRS）以及扫描电镜（SEM）技术对来自阿富汗、俄罗斯贝加尔湖等地的几个青金石样品进行了岩石矿物学特征分析。实验结果显示了不同质地青金石的不同成分组成和微观结构特征。伴生矿物的种类和含量差异为探寻青金石的产地来源提供了有益的信息。