尖端具有非线性吸附接触的界面裂纹的动态特性研究

 研究一类尖端具有非线性吸附接触型裂纹模型的弹性波散射问题。利用积分变换和积分方程方法推导了确定这类问题基本变量的奇异积分方程组,采用围道积分技术和切比雪夫多项式展开技术得到了待定系数的非线性代数方程组。最后给出了裂纹尖端接触区的大小和接触应力的数值结果,揭示了这种接触型裂纹模型的动力学特征及物理上的合理性。     

Lamb波传播特性研究

应用三维弹性理论对Lamb波频散曲线进行理论建模.在Lamb波主动监测系统中,应用Gabor小波变换理论分析Lamb波信号的时延及相位角,获得了板中Lamb波的相群速度频散曲线.比较理论曲线与实验数据,证明了三维弹性理论建模方法的有效性.     

板中裂纹对Lamb波传播的影响

基于有限元分析方法，研究了Lamb波在含有裂纹复合材料板中的传播问题。深入地分析了不同长度和深度的裂纹对Lamb传播的影响。在数值计算中，考虑了网格尺寸和时间积分步长选择。数值结果的正确性可以通过波到达时间和剪切波到达时间的一致性得到验证。分析结果表明，Lamb波在复合材料损伤监测中具有潜在的应用价值。     

含裂纹半无限大板受集中力作用的应力强度因子

本文釆用交替法求解了含边缘裂纹或内部裂纹或半无限长裂纹的半无限大板在板面内受集中力作用的应力强度因子。此法以平面弹性力学的两个问题为基础,而此两问题的解是已知的。第一个是裂纹表面受任意载荷的无限大板,第二个是半平面在边界上受任意载荷作用。然后交替地满足边界条件。计算结果已绘成曲线。     

含不等长双裂纹无限大板应力强度因子

采用交替法求解了含任意相对位置不等长双裂纹的无限大极受均布拉应力作用的应力强度因子。此法以平面弹性力学的一个问题为基础,即含单裂纹无限大板,裂纹面受集中载荷,此问题的解已知,然后交替地满足边界条件。各种计算结果已绘成曲线。     

加肋板结构中弹性波一维局部问题的研究

分析研究了失谐周期多跨加肋板结构中的弹性波一维局部化问题。采用传递矩阵方法给出了系统的传递矩阵 ,并采用 Wolf提出的计算连续型动力系统中 Lyapunov指数的方法 ,给出了局部化因子的计算表达式。作为算例 ,给出了失谐加肋板结构中局部化因子的数值结果 ,并分析了跨长的失谐程度及结构参数对弹性波局部化的影响     

裂纹与一类线型扁平夹杂相互干涉的应力强度因子

本文应用奇异积分方程法研究裂纹与一类线型扁平夹杂相互干涉的弹性力学平面问题。将裂纹与夹杂非相交情况推广到在端点以任意角度相交情况。一对位错和一对集中力的格林函数分别被用以形成裂纹和夹杂。通过对所得奇异积分方程组的奇异性分析,确定了裂纹与夹杂在端点以任意角度相交时端点和交点处的应力奇异性指数。最后导出了裂纹与夹杂尖端应力强度因子的计算公式并进行了一些数值计算。结果表明本文的方法对于处理类似的奇异性问题是非常有效的。     

窗函数递推T矩阵法

 引入数字信号处理中的窗函数, 应用于加法定理中, 解决了在入射波为TE 波时, 用递推T 矩阵法计算电大尺寸物体或多个散射体散射场时, 精度不高的问题。另外本文从积分方程出发, 推导出了总体T 矩阵的另一种表示形式, 最后给出的算例证明了引入窗函数的有效性和总体T 矩阵表达式的正确性。     

固体推进剂/衬层界面脱粘裂纹的三区域界面层模型

将固体推进剂/衬层粘结界面层按照剪切模量的变化分成三部分,由此建立了其界面脱粘裂纹的三区域界面层模型。应用Fourier积分变换和传递矩阵方法,推导并数值求解Cauchy奇异积分方程,得到了反平面剪切状态下裂纹问题的半解析解,并讨论了界面层模量和厚度对断裂参量的影响。结果表明,界面层模量随贮存时间的延长而降低时,应力强度因子逐渐减小,但裂纹张开位移变化不大;界面层厚度对应力强度因子的影响则不明显。     

共振条件下的裂纹梁振动与裂纹扩展耦合分析

为了对裂纹静子叶片在共振激励下的损伤容限寿命潜力进行初步探索,采用接触有限元法研究了共振状态下裂纹梁的振动与疲劳裂纹扩展的耦合问题。裂纹梁采用二维平面应力单元离散,接触模型模拟呼吸裂纹开合过程中的弯曲刚度变化。振动分析中,分别使用解析法预估和瞬态响应扫频计算得到系统一阶共振频率。断裂力学参量在有限元法中使用线弹性断裂力学方法进行求解。耦合分析中,模拟了耦合现象中的两个典型问题——裂纹止裂和失稳扩展,通过在共振激励下扫描裂纹长度计算应力强度因子曲线,通过该曲线与断裂韧度、裂纹扩展门槛值对比判断裂纹扩展的稳定性、计算裂纹扩展寿命。最后使用耦合分析结论基于Campbell图对假设静子叶片进行了定性的共振分析。     

无限大金属平板上开有二维周期性孔阵的散射特性分析

本文利用矩量法分析了无限大金属平板上开有二维周期性孔阵的电磁散射特性。通过引入广义波导的概念,可以统一分析孔径形状为任意的这类频率选择表面。作为示例,分别计算了无限大平板上开有矩形、圆形和等边三角形孔阵的散射特性。结果与现有文献中给出的数据极为一致。     

碳纤维/双马树脂复合材料整体成型过程分层扩展行为实验研究

针对复合材料构件热压罐成型过程中常见的分层缺陷,考察了整体成型工艺温度对分层扩展、QY8911双马树脂基体韧性及T300/QY8911层合板Ⅰ型层间断裂韧性的影响,并通过分层扩展断面形貌深入分析了复合材料整体成型工艺中分层扩展的路径和断面破坏模式,给出了复合材料整体成型工艺和结构设计的优化建议措施。结果表明,随着整体成型最高温度的升高,分层扩展程度增大,QY8911双马树脂基体的拉伸强度和拉伸模量逐渐降低,T300/QY8911层合板Ⅰ型层间断裂韧性逐渐增大;对分层扩展断面进行SEM扫描电镜分析发现分层扩展沿着层间开裂,断面内存在基体断裂和基体/纤维界面脱粘两种破坏模式,Ⅰ型层间断裂是复合材料整体成型工艺中分层扩展的典型微观特征。     

二维复合广义J积分

本文推导出了含复合型裂纹的变厚度板在承受体力和面力、存在非均匀温度场的情况下的能量差率表达式。并由此定义了复合型广义J积分 J=J₁cosφ+J₂sinφ J₁=lim（1/t）{∫Wtdx₂-∫W（t/x₁）d A-∫S_i（u_i/x₁）tds -∫（W/T） （T/x₁）td A-∫Bi（u_i/x₁）tdA} J₂=lim1/t{-∫Wtdx₁-∫W（t/x₂）dA-∫si（u_i/x₂）tds -∫（W/T）（T/x₂）tdA-∫Bi（u_i/x₂）tdA} 在此定义的基础上,我们证明了广义J积分的与路径无关性,并利用其路径无关性和裂纹尖端的应力场奇异性得到了广义J积分与线弹...     

Love Waves in Layered Graded Composite Structures with Imperfectly Bonded Interface

Theoretical analysis and numerical calculations of Love wave propagation in layered graded composites with imperfectly bonded interface are described in this paper. On the basis of WKB method, the approximate analytic solutions for Love waves are obtained. By the interface shear spring model, the dispersion relations for Love waves in layered graded composite structures with rigid, slip, and imperfectly bonded interfaces are given, and the effects of the interface conditions on the phase velocities of Love waves in SiC/Al lay- ered graded composites are discussed. Numerical analysis shows that the phase velocity decreases when the defined flexibility parameter is greater. For the general imperfectly bonded interface, the phase velocity changes in the range of the velocities for the rigid and slip interface conditions.     

Research on the Plane Multiple Cracks Stress Intensity Factors Based on Stochastic Finite Element Method

Taylor stochastic finite element method (SFEM) is applied to analyze the uncertainty of plane multiple cracks stress intensity factors (SIFs) considering the uncertainties of material properties, crack length, and load. The stochastic finite element model of plane multiple cracks are presented. In this model, crack tips are meshed with six-node triangular quarter-point elements; and other area is meshed with six-node triangular elements. The partial derivatives of displacement and stiffness matrix with respect to all the random variables obtained by Taylor SFEM are derived. Meanwhile, the mean and variance expressions of SIF under uncertain factors are also derived. Parallel double-crack illustrative example of using the proposed method is given. The calculation results indicate that the uncertainty of SIF is influenced by the distance of the cracks, the smaller the distance of cracks is, the greater the SIF uncertainty is, and the uncertainties of material elastic modulus, load and crack length markedly affect the uncertainty of SIF; and the Poisson ratio of material has little influence. Among the variables, the elastic modulus has the greatest effect on SIF uncertainty. The next is external load. The crack length has lower effect on SIF uncertainty than both the elastic modulus and external load.     

夹杂尖端出现裂纹时应力奇异性分析

 本文应用奇异积分方程理论研究一扁平夹杂尖端出现一裂纹时的应力奇异性问题。得到了裂纹与夹杂端点及交点处的应力奇异性指数,导出了裂纹与夹杂端点处的应力强度因子及交点处的新近应力场。通过数值计算,分析讨论了裂纹与夹杂的各种几何参数及夹杂-母体材料刚度比对裂纹与夹杂相互作用的影响。     

热载荷下热障涂层表-界面裂纹间的相互影响

针对高温热载荷条件下APS制热障涂层裂纹失效问题，基于涂层系统热弹、热弹塑性本构关系，考虑陶瓷层/氧化层/粘结层界面凹凸形貌，依据表、界面裂纹位置、性质不同，分别运用断裂力学和损伤力学理论建立裂纹演化模型，结合围线积分和内聚力单元法，分析了热载荷下表、界面裂纹断裂参量及开裂状态，研究了陶瓷层表面裂纹与粘结层/氧化层界面裂纹间的相互影响，揭示了热、力、化多场耦合下的裂纹失效机理。结果表明，表面裂纹大幅改变界面微区域的应力分布状态，靠近界面时能使界面裂纹扩展程度整体增加20%，且相邻凸峰处开裂非均匀性可达81%，表面裂纹断裂参量主要受多层结构热失配及缺陷主导，界面裂纹对其影响相对较小，分析结果与试验结果一致。      

界面层参数对陶瓷基复合材料单轴拉伸行为的影响

采用细观力学方法研究了界面层参数对陶瓷基复合材料单轴拉伸行为的影响.在剪滞模型基础上提出了考虑界面相与界面层效应的力学简化模型,结合临界基体应变能准则、最大剪应力准则、临界纤维应变能准则确定基体裂纹间距、界面脱黏长度和纤维失效百分数,对考虑界面层影响的陶瓷基复合材料拉伸应力-应变曲线进行了模拟,讨论了界面层体积分数、弹性模量及泊松比对拉伸行为的影响,并与试验结果进行了对比,发现考虑界面层及界面相的影响时,界面脱黏和纤维失效段应力-应变曲线与试验数据更接近,预测效果更好.      

Type-III radio bursts and their interpretation

The observations of type-III solar radio bursts are briefly reviewed to set requirements on a model for their interpretation. The most important of these requirements is that the source must be an electron stream which is in a state of continuous quasilinear relaxation and which initially must have a nearly monotonically decreasing velocity distribution. The problem of constructing a model is broken into three parts: (1) The plasma wave source which depends on the interaction of the electron stream with electron plasma waves. (2) The radiation source which depends on the interaction of plasma waves and transverse electromagnetic waves or in a magnetized plasma the ordinary and extraordinary modes of magnetoionic theory. (3) The propagation of radiation between the source and the observer which depends on the transmission of radiation through a scattering refracting absorbing magnetized plasma.Progress on a model for the plasma wave source is reviewed and it is concluded that no existing models are adequate. The equations which would lead to an adequate model are written down, but not solved. These include, in addition to collisional damping, Landau damping both by the exciting stream and the background plasma, and spontaneous and induced processes for a three-dimensional distribution of plasma waves. Possible limitations to a quasilinear approach such as pile-up of plasma waves and nonlinear effects are considered. Processes which affect the gross structure of the source such as electron trajectories in coronal streamers and electron scattering by inhomogeneities are reviewed.Progress on the radiation source is considered both in the absence and presence of a magnetic field. At high frequencies (e.g., 80 MHz) observations of radiation near the fundamental and second harmonic of the plasma frequency allow a unique determination of source size and the energy density in plasma waves within the uncertainties of geometry by source ray tracing. This determination is extremely critical because the fundamental must be amplified and thus production of the fundamental is effectively a much more highly nonlinear process than production of the second harmonic. At low frequencies (e.g., 500 kHz) the second harmonic is shown to be dominant because amplification of the fundamental becomes an inefficient process.Calculations of scattering of radiation in a random medium are reviewed. It is concluded that these are adequate at high and low frequencies, but have not been carried out properly at intermediate frequencies where amplification of the fundamental may still be present. It is shown in particular that when scattering is taken into account at high frequencies all observations can be explained by isotropic emission near the second harmonic. At low frequencies the nature of the scatterers is determined by source occultations unlike the case at high frequencies where these are free parameters. This fact allows the possibility of determining true source sizes at low frequencies by subtracting out the contribution due to scattering. A mechanism for producing the possibly observed linear or highly elliptical polarization of type-III bursts, which must be imposed far from the source due to Faraday rotation, is reviewed.Finally, the questions of what remains to be done and what we can hope to obtain upon completion of this work are briefly considered.The National Center for Atmospheric Research is sponsored by the National Science Foundation.