SH波在功能梯度压电带拼接半无限大压电材料中共线双裂纹处的散射问题

分析了SH波在功能梯度压电带拼接半无限大压电材料中共线双裂纹处的散射,基于功能梯度压电材料参数指数模型,在裂纹面电渗透性边界条件下,利用Fourier积分变换将问题转化成对偶积分方程,并利用Copson方法对问题进行了求解,最后通过数值算例表明了右裂纹尖端的动应力强度因子受波数和梯度参数的影响情况.     

SH波在正交各向异性功能梯度材料直裂纹处的散射

研究了正交各向异性功能梯度材料中直裂纹对SH波的散射问题,材料两个方向的剪切模量和密度假定为指数模型,通过积分变换-积分方程方法,建立数学模型,化为对偶积分方程,用Copson方法求解对偶积分方程,最后得到动应力强度因子,并且给出了数值算例,讨论了在SH波作用下,裂纹尖端的动应力强度因子与入射波的频率,入射角的关系．     

具裂纹功能梯度压电带拼接半无限大功能梯度材料的SH波散射问题

讨论了具裂纹功能梯度压电带拼接半无限大功能梯度材料的SH波散射问题,在电渗透型边界条件情况下,将考虑的问题通过Fourier积分变换把混合边值问题的求解转化为对偶积分方程,然后利用Copson方法将得到的对偶积分方程转化为Fredholm积分方程再进行数值求解,得到了裂纹尖端的应力强度因子、电位移强度因子,最后讨论了材料梯度参数,波数和入射角等因素对标准动应力强度因子的影响.     

具裂纹的功能梯度压电压磁复合材料的SH波散射问题

讨论了具裂纹功能梯度压电压磁复合材料的SH波的散射问题,通过Fourier积分变换,把混合边值问题转化为对偶积分方程,并利用Copson方法将时偶积分方程转化为第二类Fredholm积分方程求解,得到了裂纹尖端的应力强度因子、电位移强度因子和磁通量强度因子,最后通过数值计算讨论了材料梯度参数,入射角等因素对标准动应力强度因子的影响．     

热机荷载下含梯度涂层的弹性条中裂纹问题(英文)

研究了热机荷载作用下含功能梯度材料涂层的裂纹弹性底层条问题,提出一些新的边界条件,假设裂纹面上的温度降低是由通过裂纹的控制热传导的因子造成,利用傅里叶积分变换,将热弹性混合边值问题转化为一组奇异积分方程,奇异积分方程组可以利用Chebyshev多项式逼近方法近似求解.给出了温度、位移场和热应力强度因子的数值计算方法.通过算例分析了不同几何参数下裂纹表面标准温度的分布,并讨论了裂纹位置和热弹性非均匀参数对Ⅰ、Ⅱ型裂纹尖端标准热应力强度因子的影响.结果表明:弹性底层厚度不变时,梯度涂层厚度对裂纹表面的温度分布有重要的影响;梯度涂层厚度的变化对底层的裂纹有重要的影响.研究结果有助于对梯度涂层结构热机行为的理解.     

含裂纹梯度材料与均匀材料粘接接触问题

基于功能梯度材料和均匀弹性材料本构方程,探讨了含裂纹半无限大功能梯度材料与均匀弹性材料粘接的接触问题.通过借助Fourier变换技术,将所要研究的问题转换为关于未知位错密度函数的奇异积分方程,并把位错密度函数表示为Chebyshev多项式,最终将奇异积分方程转换为线性代数方程组进行配点数值求解.数值结果以图表的形式显示非均匀参数、裂纹几何性对裂纹尖端应力强度因子的影响.     

弹性材料夹杂含裂纹梯度材料的接触问题

研究弹性材料夹杂含裂纹功能梯度材料的接触问题．利用Fourier积分变换,将问题转化为关于未知位错密度函数的奇异积分方程,再用配点法对奇异积分方程进行数值求解．获得了裂纹尖端标准应力强度因子．数值结果显示了标准应力强度因子与梯度材料非均匀参数、摩擦系数、裂纹长度以及裂纹距刚性压头中心水平距离的关系．     

SH波在功能梯度压电带中共线双裂纹处的散射

讨论了SH波在功能梯度压电带中共线双裂纹处的散射问题,假定裂纹面上边界条件是电渗透性的,通过建立数学模型并利用Copson方法对问题进行了求解,最后通过数值算例讨论了右裂纹尖端的动应力强度因子与材料梯度参数等因素的关系．     

流体媒质界面上半波损失问题的讨论

本文主要是利用流体媒质界面处速度和能流的连续性边界条件,定量地分析,研究弹性纵波在界面处的半波损失问题。通过分析、研究,得出了弹性纵波有无半波损失的正确判据,及“入射波由波阻小的媒质射入波阻大的媒质,界面处反射波存在半波损失”不是普遍成立的结论。     

Lwner理论对动态断裂问题的应用初探

对于固体中裂纹扩张的动态过程,如考虑惯性及弹性波的影响,则应力场的求解是一个相当困难的问题,有关研究进展缓慢。本文在不计惯性及弹性波影响的情形下,借助共形映射的Lwner理论,对由边界向内的裂纹扩展过程中应力场的连续变化解,提出一种近似处理的方法。当考虑裂纹扩展速度影响时,在现有的Radok—范天佑方法中也尝试着引入Lwner理论,使该方法得以改进。....     

Waves scattering induced by an interface crack in a coated material

INTRODUCTION Cracks are likely to occur on the interfaces of coated materials widely applied in engineering. It is important to detect the interface cracks by non-destructive means. Detecting the scattered waves induced by interfacial cracks by using ultrasonic technique can be considered as one of the most fea- sible methods. This paper focuses on the theoretical basis for the study of wave scattering induced by interfacial cracks. In the last two decades, there has been a large number o…     

Probabilistic analysis of linear elastic cracked structures

This paper presents a probabilistic methodology for linear fracture mechanics analysis of cracked structures. The main focus is on probabilistic aspect related to the nature of crack in material. The methodology involves finite element analysis; sta- tistical models for uncertainty in material properties, crack size, fracture toughness and loads; and standard reliability methods for evaluating probabilistic characteristics of linear elastic fracture parameter. The uncertainty in the crack size can have a significant effect on the probability of failure, particularly when the crack size has a large coefficient of variation. Numerical example is presented to show that probabilistic methodology based on Monte Carlo simulation provides accurate estimates of failure prob- ability for use in linear elastic fracture mechanics.     

Comparative study of static and dynamic parameters of rock for the Xishan Rock Cliff Statue

Ultrasonic wave testing was applied to investigate the quality and weathering status of rock specimens obtained in two borings situated in the Xishan Buddha rock slope in Taiyuan, China. This paper pays special attention to the distribution of bulk density, dynamic parameters and static parameters of rock specimens as well as the relationship between static and dynamic parameters. The results illustrate that the distribution of both parameters is identical along the depth of two drilled holes in the rock slope. When the hole depth increases, the density of rock mass, saturated compression strength and static elastic modulus, dynamic elastic modulus and wave velocity also show increase tendency. The weathering degree in the rock mass ranging from the surface of cliff to the depth of 2.5 m is the highest while the rock mass is unsalted and more rigid when the depth is larger than 3.0 m. The relationship between dynamic elastic modulus, sonic wave velocity and horizontal depth indicates that dynamic elastic modulus is more sensitive than sonic wave velocity. Conversely, by comparing quantity relationship between static elastic modulus and sonic wave velocity, it is found that the composition of rock has a great influence on the relationship between static and dynamic parameters, that is, inequality of rock composition will lead to dispersion and abnormality of the distribution of static and dynamic parameters.     

波浪滑翔机弹性水翼性能模型试验

波浪滑翔机的推力是由一组可以随着机体自动翻转的水翼来获得的。通过波浪水池模型试验对波浪滑翔机弹性水翼性能进行了研究,制作了波浪滑翔机水下牵引机的1:2.5缩尺模型,利用自制的垂荡激励拖车连接水下牵引机模拟在不同波高条件,分析不同情况下弹性水翼的性能。试验表明,波浪滑翔机水翼弹簧刚度应该根据工作海域的海况选取,海况较恶劣的海域波浪滑翔机弹性水翼可以选择较大的弹簧刚度;反之,水翼刚度不宜过大。     

Mechanic behavior of unloading fractured rock mass

Under tension and shear conditions related to unloading of rock mass, a jointed rock mass model of linear elastic fracture mechanics is established. According to the model, the equations of stresses, strains and displacements of the region influenced by the crack but relatively faraway the crack (the distance between the research point and the center of the crack is longer than the length of crack) are derived. They are important for evaluating the deformation of cracked rock. It is demonstrated by the comparison between computational results of these theoretical equations and the observed data from unloading test that they are applicable for actual engineering.     

含裂纹工作辊热轧过程有限元分析

利用大型有限元软件ANSYS/LS-DYNA的模拟功能,对轧辊的裂纹尖端开裂模式进行了模拟分析。在将裂纹尖端区域细化的基础上,得出含表面裂纹的热轧工作辊两个裂纹尖端的开裂模式是不同的,并且随着轧制深入以及裂纹扩展规律的影响,出现了裂纹尖端局部塑性区以及材料局部的卸载情况,使应力强度因子K以及J积分之间不再满足在线弹性过程中的换算关系形式。     

3D analysis for pit evolution and pit-to-crack transition during corrosion fatigue

This paper presents a deterministic model to predict the pit evolving morphology and crack initiation life of corrosion fatigue. Based on the semi-ellipsoidal pit assumption, the thermodynamic potential including elastic energy, surface energy and electrochemical energy of the cyclically stressed solid with an evolving pit is established, from which specific parameters that control the pit evolution are introduced and their influence on the pit evolution are evaluated. The critical pit size for crack nucleation is obtained from stress intensity factor criterion and the crack nucleation life is evaluated by Faraday’s law. Meanwhile, this paper presents a numerical example to verify the proposed model and investigate the influence of cyclic load on the corrosion fatigue crack nucleation life. The corrosion pit appears approximately as a hemisphere in its early formation, and it gradually transits from semicircle to ellipsoid. The strain energy accelerates the morphology evolution of the pit, while the surface energy decelerates it. The higher the stress amplitude is, the smaller the critical pit size is and the shorter the crack initiation life is.     

Lowner理论对动态断裂问题的应用初探

对于固体中裂纹扩张的动态过程,如考虑惯性及弹性波的影响,则应力场的求解是一个相当困难的问题,有关研究进展缓慢。本文在不计惯性及弹性波影响的情形下,借助共形映射的Lowner理论,对由边界向内的裂纹扩展过程中应力场的连续变化解,提出一种近似处理的方法。当考虑裂纹扩展速度影响时,在现有的Radok—范天佑方法中也尝试着引入Lowner理论,使该方法得以改进。     

分层介质中弹性波与电磁波的反射特性

通过对电磁波和弹性波在分层媒质中的传播过程的分析,研究了它们在分层媒质中的反射特性,给定了反射系数的表达式,同时对电磁波和弹性波在分层媒质中传播性质的差异进行了比较.