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。     

弹性波作用下压电体摩擦接触界面滑移特性分析

弹性波与压电体摩擦接触界面相互作用会引起界面滑移或分离,滑移和分离位置的分布与外加压力、剪力、电场及入射波的条件有关。应用Fourier分析及matlab软件给出了滑移范围的解,给出了粘着、滑移或分离的判定条件,通过算例分析了滑移和分离出现的影响因素和条件,为工程应用提供了理论依据。     

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。     

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     

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...     

SH波在滑动接触面上的反射与折射

1.引言应力波在固定接触面上反射和折射的解是众所周知的.近年来,一些作者对应力波在所谓单向接触面上的反射和折射等问题进行了广泛的研究.本文研究应力波在另一类接触面上的反射与折射.这类接触面的特点是:两接触物体具有相对滑动速度.若采用库仑摩擦定律,则接触面上的剪力等于最大摩擦阻力.在应力波的作用下,接触面上的应力和相对滑动速度都将发生变化,因此也有可能发生局部的分离、粘着,甚至发生与初速度反向的滑动.分析与计算结果表明,反射与折射波的性态与这些局部区域的存在及其位置和尺寸有关.对应力波与这类接触面间相互作用的研究,具有理论和实际意义.其研究成果可以用于通过对应力波的计算或测量来研究接触面的性     

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。     

单侧摩擦梯度非均匀双半平面的反平面运动

研究了二个半平面的反平面运动，二个半平面都是剪切弹性模量与材料密度为梯度的非均匀介质，它们之间的界面是具有Coulomb摩擦的单侧界面. 当介质的梯度参数按二次幂规律变化时，求得了这一问题的解析解，给出了界面上粘着区与滑移区以及相应的界面剪应力与相对滑移量的分布. 通过抛物线脉冲入射下的数值计算发现：界面上的剪应力呈反双峰形分布，正、反滑移区出现在峰值点附近，其范围随界面上施加的外压力σ=fsp∞/μ0的增加而减小，当外压力达到某一数值时，滑移区消失，整个界面将完全粘着在一起.     

自适应网格技术在流体力学界面处理中的应用

自适应网格技术是流体力学数值计算中的重要内容之一．不仅能够处理大变形问题，而且能够大大提高物质界面的计算精度。针对结构网格给出了网格细化结构、误差估计、数据管理、网格产生算法等。通过对强激波双马赫反射及Rayleigh-Taylor界面不稳定性现象进行数值模拟．获得符合精度要求的对激波阵面及物质界面自适应跟踪结果。     

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 ...     

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.     

Frictional elastic contact with periodic loading

Quasi-static frictional contact problems for bodies of fairly general profile that can be represented as half planes can be solved using an extension of the methods of Ciavarella and Jäger. Here we consider the tangential traction distributions developed when such systems are subjected to loading that varies periodically in time. It is shown that the system reaches a steady state after the first loading cycle. In this state, part of the contact area (the permanent stick zone) experiences no further slip, whereas other points may experience periods of stick, slip and/or separation. We demonstrate that the extent of the permanent stick zone depends only on the periodic loading cycle and is independent of the initial conditions or of any initial transient loading phase. The exact traction distribution in this zone does depend on these factors, but the resultant of these tractions at any instant in the cycle does not. The tractions and slip velocities at all points outside the permanent stick zone are also independent of initial conditions, confirming an earlier conjecture that the frictional energy dissipation per cycle in such systems depends only on the periodic loading cycle. We also show that these parameters remain unchanged if the loading cycle is changed by a time-independent tangential force, provided this is not so large as to precipitate a period of gross slip (sliding).     

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.     

Propagation of slip pulse along frictionless contact interface with local separation between two piezoelectric solids

The Stroh formalism of piezoelectric materials,Fourier analysis and singular integral equation technique were used to investigate the existence of a pulse at the fric- tionless interface in presence of local separation between two contact piezoelectric solids. The two solids were combined together by uniaxial tractions and laid in the electric field. The problem was cast into a set of Cauchy singular integral equations,from which the closed-form solutions were derived.The numerical discussion on the existence of such a slip pulse was presented.The results show that such a slip pulse,which has square root singularities at both ends of the local separation zone,can propagate in most material combinations.And the existence of such a slip pulse will not be affected by the applied mechanical and electric fields in some special material combinations.