带形域内裂纹对SH波散射问题的边界元解

采用边界元法研究含裂纹的带形域各向同性弹性体，裂纹对SH波的散射问题，推导出带形域情况下不同边界条件的各种Green函数，导出了以裂纹张开位移为未知数的边界积分方程，计算出表面散射场和总位移．算例表明，利用所提供的格林函数和边界元格式解答带形域的散射问题比较方便．     

Low Velocity Response Characteristics of Composite Plate with Embedded Shape Memory Alloy

I. INTRODUCTION Composite materials have been used extensively in aerospace and other industries owing to the factthat they have high speci?c modulus, high speci?c strength, and the capability to be designed andfabricated with greater ?exibility, and ha…     

ANALYSIS ON ACOUSTICAL SCATTERING BY A CRACKED ELASTIC STRUCTURE

The acoustical scattering by a cracked elastic structure is studied. The mixed method of boundary element and fractal finite element is adopted to solve the cracked structure-acoustic coupling problem. The fractal two-level finite element method is employed for the cracked structure, which can reduce the degree of freedoms (DOFs) greatly, and the boundary element method is used for the exterior acoustic field which can automatically satisfy Sommerfeld‘s radiation condition. Numerical examples show that the resonance frequency is lower with the crack‘s depth increase, and that the effect on the acoustical field by the crack is particularly pronounced in the vicinity of the crack tip. This mixed method of boundary element and finite element is effective in solving the scattering problem by a cracked structure.     

焦散线法对双折射材料断裂性能的研究

提出了双折射材料Ⅰ-Ⅱ混合型裂纹问题焦散线的形成原理,讨论了μ(=K_I/K_I)及光学各向异性系数ξ对焦散线形状及其几个特征量的影响,得到了双折射材料应力强度因子K_Ⅰ、K_Ⅱ的求法.以聚碳酸脂、环氧树脂为例,确定了它们在不同裂纹及不同载荷条件下的应力强度因子K_Ⅰ、K_Ⅱ.     

矩阵黎卡提方程的精细积分法

选择恰当的参数，将２￣Ｎ类算法用于代数与微分黎卡提方程。证明了算得的解是如此精确，几乎是计算机上的精确解。数例验证了该结论。     

冲击高度对自由冲击射流影响的实验研究

采用热线风速仪测量了雷诺数为 ２３ ０００时四种冲击高度下率流自由冲击射流流场，并给出详细的结果．表明壁面的“阻尼”影响主要集中在近壁面０．５Ｄ以内．小冲击高度时径向速度下降得比大冲击高度时明显要快，量值也较小；在ｒ／Ｄ≤１．５处，小冲击高度时紊动能的数值大小和分布趋势与大冲击高度时不同，特别是在喷管出口距冲击板高度Ｚ与喷管直径Ｄ之比Ｚ／Ｄ为８时分布特殊，在其它测点处，紊动能的分布趋势基本一致，只是大冲击高度下的值较大；流动结构在Ｚ／Ｄ为６～８时发生了较大的变化，这种变化与势流核心区有关，在势流核心区的顶端以及下游的一段距离内紊流度都很高．     

非齐次动力方程Duhamel项的精细积分

提出了不需要矩阵求逆运算的求解Duhamel积分项的精细积分方法.通过将精细积分法的关键思想--加法定理和增量存储--直接应用于Duhamel积分响应矩阵的求解,可给出当非齐次项分别为多项式、正弦/余弦以及指数函数等基本形式时Duhamel积分在计算机上的精确解.特别的,该算法不依赖于系统矩阵(或相关矩阵)的形态.当系统矩阵奇异或接近奇异时,其优越性更为显著.算例验证了该算法的有效性.     

Dynamic dip testing as a method to assess the condensate drainage behavior from the air-side surface of compact heat exchangers

A new method to assess the condensate drainage behavior of the air-side surface of compact heat exchangers—dynamic dip testing—is introduced. The new method is shown to provide highly repeatable data for real-time drainage. Results from experiments with more than 20 flat-tube and round-tube-and-fin heat exchangers are presented, and the data clearly show geometrical effects such as the impact of the tube type on condensate drainage. By comparing the results from dip testing to wind-tunnel experiments for the same heat exchangers, we find dip testing can serve as a powerful tool for assessing the condensate retention behavior. The coils retaining the most and the least condensate in a steady-state wind-tunnel test, likewise held the most and the least in a dip test. However, different amounts of water are retained on the air-side surface during dip tests and wind-tunnel tests. A model based on gravity, surface tension and drag effects is developed to help understand and predict the drainage behavior of heat exchangers. The new model and experimental approach are useful in screening heat exchangers for condensate retention and for assessing off-cycle drainage behavior.     

The general solution of spherically isotropic magnetoelectroelastic media and its applications

A general solution of the three-dimensional equilibrium problem of spherically isotropic magnetoelectroelastic media is presented. Base on the obtained general solution, exact and compact form solutions are obtained for (1) a spherically isotropic magnetoelectroelastic cone subjected to concentrated force, concentrated couple, a point charge and a point electric current at its apex; (2) a spherically isotropic magnetoelectroelastic space with a concentrated force at the origin; (3) a spherical shell under spherically symmetric deformation; and (4) stress concentration around a spherical cavity subjected to remote uniform tensile force, electric charge and electric current.     

Quasiconvex Functions and Hessian Equations

S ^n×n of symmetric matrices. They are built on the k-th elementary symmetric function of the eigenvalues, k=1,2,…,n. Our motivation came from a paper by Šverák [S]. The proof of our result relies on the theory of the so-called k-Hessian equations, which have been intensively studied recently; see [CNS,T1,TW1,TW2]. (Accepted January 3, 2003) Published online May 13, 2003 Communicated by V. Šverák