垂直入射弹性波在一般各向异性压电材料单侧接触界面上的传播

弹性波垂直于压电材料摩擦接触界面入射会引起界面局部滑移或分离,导致问题具有边界非线性。应用傅里叶分析技术将问题的求解转化为一组代数方程,通过迭代-修正的方法确定粘着、滑移、分离区的分布位置,给出了各种状态产生的条件及规律。由于边界非线性导致波形畸变并诱发高频谐波,对某些各向异性压电材料,在某些条件下单一入射波遇到界面产生再极化,导致耦合P波及SV波产生,文中给出了高频谐波解及波形极化的产生条件。外加荷载和外加电场通过机电耦合效应对界面产生影响,通过实例分析,给出了外加作用力和电场对一般各向异性材料的影响规律,并分析了因为材料常数不同而引起的影响规律的不同。     

垂直入射弹性波在压电体单侧接触界面上的传播特性

弹性波与压电材料接触界面的相互作用问题是工程应用中常见而复杂的问题,入射波足够强会引起界面出现滑移和分离,但滑移和分离的边界未知,边界条件具有非线性特性。通过Fourier分析,将混合边值问题的求解转化为非线性代数方程,利用软件通过迭代修正的方法进行了求解;给出3种状态边界的求解,分析入射波强度、外加应力及电场对界面状态的影响,并对高频谐波的特性进行分析,通过实例对理论推导进行验证,结果显示:入射波强度、外加荷载和电场的大小及摩擦因数均会影响到界面,通过改变这些条件可以控制界面状态,另外检测高频谐波的信号也可以反映界面状态。     

基于非结构任意多边形网格的滑移面计算技术

基于任意多边形网格管理体系,针对流体多介质问题的数值模拟,发展了拉氏方法滑移面计算技术.文章给出了滑移线设置的数据结构,滑移线上主从点速度与位置的计算格式,及节点滑移后引起界面上点、相关网格邻域关系变化的算法.该滑移计算技术避免了传统算法中由于以模拟法(重叠或分离网格)代替直接法(拼接网格)而造成几何守恒律被破坏的缺陷.数值例子验证了该算法的可行性,体现了算法无缝连接的特点.     

高压条件下界面滑移长度的定量测量

采用光干涉技术对高压条件下的界面滑移现象进行了试验研究.通过追踪冲击封油核心的运动位移,实现了对滑移长度的定量测量.结果表明:在纯滑条件下封油核心并不以卷吸速度运动,而是在盘纯滑时小于卷吸速度、球纯滑时大于卷吸速度,从而说明了滑移发生在玻璃盘表面.对封油核心的运动特征进行分析,得出了油膜界面滑移长度及剪应变率.试验分析表明滑移长度随油膜厚度、初始封油压力和润滑油黏度的增加而增加;随速度的增加而呈现减小趋势.     

双材料单伸臂叠合梁的界面滑移与自振特性分析

将叠合梁划分为接触区和分离区,接触区界面间的摩擦作用会对叠合梁的滑移、刚度和自振频率产生影响.本文给出了单伸臂叠合梁在均布荷载和集中力作用下,考虑叠合界面摩擦作用的滑移应变和滑移分布的表达式;推导了考虑叠合界面间摩擦力及摩擦力产生的抵抗弯矩共同作用下的截面刚度.假设梁按等波长和等刚度两种形式自由振动,运用传递矩阵法推导...     

一般各向异性单侧接触界面上波的反射和折射

研究简谐弹性波在一般各向异性介质单侧接触界面上的反射和折射问题．利用Fouier分析方法将非线性Coulomb摩擦接触边界波动问题化为一组代数方程．给出了确定局部分离、滑移和粘着区的思路和方法及各区域的解；讨论了出现界面局部分离和滑移的条件．对特定材料组合情况进行了详细数值计算，给出了界面力、相对滑移速度、张开位移、高频谐波的反射折射系数等特征参量；考察了平面和反平面波动的耦合及整体滑移等．其中关于高频谐波的结果可对已有实验结果给出很好的定性解释．在大多数情况下，即使对摩擦系数无穷大的粘滞接触界面，分离区端部也总是存在一个很小的滑移区。     

各向异性弹性体光滑接触界面上的滑移脉冲波

利用Stroh公式,Fourier分析和奇异积分方程技术研究了两各向异性弹性半空间光滑接触可分离界面上滑移脉冲波的存在及其传播特性。结果表明,如果至少能在一种介质中存在Rayleigh波,且其波速小于两种介质中的最小极限速度,则滑移脉冲波就可以存在。这种脉冲波传播速度不确定,可在最小极限波速与较低的Rayleigh波速之间取值,而该取值范围又取决于无界面分离情况下的第一、第二滑移波的解。分离区大小取决于扰动的强度,界面法向力和质点速度在分离区两端有 1 /2奇异性。     

纤维增强混凝土材料的界面剪应力分布研究

针对纤维与混凝土界面的破坏过程,提出了几种简化的粘结-滑移本构模型,以双线性局部粘结-滑移本构模型为基础,在受力平衡和变形协调的基本原理基础上,推导了纤维脱粘过程中界面剪应力的解析解.采用弹簧粘结单元,通过数值方法模拟了纤维与混凝土之间的粘结-滑移过程,给出了纤维与混凝土界面脱粘过程中界面剪应力的分布、变化情况.对解析解、有限元计算结果和试验结果之间的差异进行了对比分析,验证了简化模型的合理性和有效性.     

粘塑性流体的界面滑移对润滑性能的影响研究

首先指出经典润滑理论中的边界无滑移条件已不再适用于具有极限剪应力的粘塑性流体润滑．而后,通过确定最大剪应力位置和加入剪应力边界条件,建立了界面滑移后的润滑方程．在联立求解不同区域的润滑方程基础上,对界面滑移的开始位置及扩展方式进行了分析．最后,讨论了不同膜厚比下滑移对润滑性能的影响．     

金属轧制入口区润滑界面滑移分析

金属成形加工中润滑界面滑移分析是工程技术人员普遍关注的重要课题之一。因此，利用有限元及参数二次规划法分析研究了金属轧制过程入口区的界面滑移问题。结果发现，滑移速度可用参数二次规划技术直接获得，在压力分布和滑移速度之间不存在迭代过程；界面滑移可以使润滑油膜厚度明显减小，这与文献报道的试验结果一致；粘塑性润滑剂的初始极限剪应力和极限比例常是面滑移的影响很大。从而影响了油膜厚度；当润滑剂和工件材料及厚度     

Propagation of harmonic waves through micro gap with consideration of frictional contact

Transmission of elastic waves through a micro gap between two solids with consideration of frictional contact is investigated.By using the Fourier analysis technique and the corrective solution method,the nonlinear boundary problem is reduced to a set of algebraic equations.Numerical results exhibit the locations and extents of separation, slip,and stick zones,the interface tractions,and the energy partition.The effects of gap width,frictional coefficients,and the incident angle on the wave transmission ...     

DYNAMIC INTERACTION OF PLANE WAVES WITH A UNILATERALLY FRICTIONALLY CONSTRAINED INCLUSION-TIME DOMAIN BOUNDARY ELEMENT ANALYSIS

A 2D time domain boundary element method (BEM) is developed to solve the transient scattering of plane waves by a unilaterally frictionally constrained inclusion. Coulomb friction is assumed along the contact interface. The incident wave is assumed strong enough so that localized slip and separation take place along the interface. The present problem is in effect a nonlinear boundary value problem since the mixed boundary conditions involve unknown intervals (slip, separation and stick regions). In order to determine the unknown intervals, an iterative technique is developed. As an example, we consider the scattering of a circular cylinder embeddedin an infinite solid.     

Re-polarization of elastic waves at a frictional contact interface—II. Incidence of a P or SV wave

This is Part II of a two-part paper which analyses the re-polarization of elastic waves at a frictional contact interface between two solids. The re-polarization of SH waves was solved in Part I by the use of the Fourier analysis. Here, in Part II, we consider the re-polarization of P or SV waves. It is assumed that the two solids are pressed together and, at the same time, loaded by anti-plane and in-plane shearing traction. If the incident wave is sufficiently strong, localized separation and slip may take place at the interface. As a result, the incident in-plane wave is re-polarized at the interface so that the anti-plane waves (SH waves) are induced. Using the method similar to that of Part I and considering the boundary conditions involving separation and slip, we manage to reduce the problem to a set of algebraic equations coupled with simple integral equations. An iterative method is developed based on the solution to the perfectly bonded interface. The locations and sizes of the separation and slip zones, the interface traction, the slip velocities, the global sliding velocities and the energy dissipation and partition are displayed for the case of two identical materials. It is found that the separation zones and the gaps are independent of the induced waves.     

单侧摩擦接触约束夹杂物与平面波的动力相互作用--时域边界元分析

应用时域边界元法研究了瞬态平面波对单侧摩擦约束夹杂物的散射问题.假设界面摩擦遵守库仑定理.当入射波足够强时界面会出现局部分离和滑移.由于边界上的区域(分离区、滑移区和粘着区)是未知的,所以该问题实际上是个复杂的边界非线性问题.为了确定未知区域,该文发展了一种有效的迭代技术.作为算例,计算了一个无限域中圆柱埋置夹杂物对瞬态平面波的散射问题.     

Slip pulse along an interface between two anisotropic elastic half-spaces in sliding contact with separation

The Stroh sextic formalism, together with Fourier analysis and the singular integral equation technique, is used to study the propagation of a possible slip pulse in the presence of local separation at the interface between two contact anisotropic solids. The existence of such a pulse is discussed in detail. It is found that the pulse may exist if at least one medium admits Rayleigh wave below the minimum limiting speed of the two media. The pulse-propagating speed is not fixed; it can be of any value in some regions between the lower Rayleigh wave speed and minimum limiting speed. These speed regions depend on the existence of the first and second slip-wave solutions without interfacial separation studied by Barnett, Gavazza and Lothe (Proc. R. Soc. Lond. 1988, A415, 389–419). The pulse has no free amplitude directly but involves the arbitrary size of the separation zone that depends on the intensity of the motion. The interface normal traction and the particle velocities involve a square-root singularity at both ends of the separation zones that act as energy source and sink.     

Separation and slip at the edge of a complete contact: An asymptotic solution

The edge of a complete contact between elastically similar bodies may often be modelled as a semi-infinite monolithic wedge, because, under a wide range of conditions, the interface is often fully closed and stuck or has small regions of lift and slip at the contact edge. When the local edge separates from the half-plane and slip is inevitable a correction to the Williams solution is required, and this is deduced for the case where the contact-defining body possesses a 90° corner. A simple application of the solution to the example problem of a clamped strip subject to tension is calibrated and the results found used to infer the slip and separation lengths.     

An example of stick–slip and stick–slip–separation waves

The dynamical problem of a brake-like mechanical system composed of an elastic cylindrical tube with Coulomb's friction in contact with a rigid and rotating cylinder is considered. This model problem enables us to give an example of non-trivial periodic solutions in the form of stick–slip or stick–slip–separation waves propagating on the contact surface. A semi-analytical analysis of stick–slip waves is obtained when the system of governing equations is reduced by condensation to a simpler system involving only the contact displacements. This reduced system, of only one space variable in addition to time, can be solved almost analytically and gives some interesting informations on the existence and the characteristics of stick–slip waves such as the wave numbers on the circumference, stick and slip proportions, wave celerities, tangential and normal forces. It is shown in particular that the stick–slip–separation solutions would occur for small normal pressures or high rotational speeds. Since the analytical discussion becomes cumbersome in this case, a second approach based on numerical analysis by the finite element method is performed. The existence and the characteristics of stick–slip and stick–slip–separation waves are discussed numerically.