Determination of the Frictional Properties of Titanium and Nickel Alloys Using the Digital Image Correlation Method

The paper describes experiments to investigate the frictional properties of a Titanium alloy (Ti-6Al-4V) and a Nickel alloy (Udimet 720) under representative engineering conditions. Flat fretting pads with rounded corners were clamped against a flat specimen and a servo-hydraulic tensile testing machine was used to apply cyclic displacement to the specimen. Slip displacement between the specimen and pad was measured remotely using an LVDT and locally using digital image correlation. The latter approach allowed accurate determination of the tangential contact stiffness from frictional hysteresis loops. The results obtained show that the contacts are significantly less stiff than would be predicted by a smooth elastic contact analysis. A finite element model of the experimental contact geometry was constructed and it was shown that good agreement with the experimental measurements of contact stiffness can be obtained with a suitable choice of elastic modulus for a compliant surface layer.     

基于超高速相机的数字图像相关性全场应变分析在SHTB实验中的应用

基于超高速相机和数字图像相关性全场应变分析方法对传统的分离式Hopkinson拉杆(SHTB)实验系统进行改进,获得尼龙和铝合金材料的动态拉伸应力应变曲线,验证了数字图像相关性全场应变分析在SHTB实验中的有效性。实验结果显示:该方法测量的平均应变与应变片测量结果一致性很好, 而传统的SHTB实验原理计算的应变结果则明显偏大,需要对试件原始标距进行修正后才能获得有效的试件应变,并且在试件的材料和几何尺寸不变的条件下标距修正不依赖于应变率。基于数字图像相关性全场应变测量,讨论了应变均匀性问题:脆性的尼龙试件在标距范围内应变均匀性良好,而韧性的铝合金试件表现出比较严重的应变不均匀性,归因于颈缩变形的影响。     

Experimental Study of the Dynamic Flexural Strength of Concrete

In this paper, we analyze the increase in the dynamic flexural strength of concrete according to strain rate. A simple beam with center-point loading and a classical electro-mechanical testing machine are used to determine the static flexural strength. The dynamic measurements are conducted using a split Hopkinson pressure bar (SHPB) device in the same three-point bending configuration. The outer faces of the beams are instrumented with strain gauges to record the extreme tensile strains. Moreover, full-field displacement measurements are obtained using digital image correlation (DIC) on images recorded by a very high-speed camera. The strain gauge and DIC measurements are compared and used to determine the onset of failure and to evaluate the rate-related tensile strength. Several tests are performed at strain rates in the range from 1/s to 15/s. As expected, a significant increase in the flexural tensile strength with strain-rate is observed, which is consistent with results from the literature.     

基于DIC方法的残余应力快速测量系统

结合数字图像相关(Digital Image Correlation,DIC)方法与钻孔法,开发了残余应力快速测量系统。该系统可分为两部分:适用于现场测量的便携式机械系统与针对残余应力测量而改进的基于DIC算法的程序。在四点弯曲加载平台上对工件进行载荷释放前后的残余应力测量试验,通过与应变片测量结果进行对比,该残余应力测量系统的精度达到了应变片测量的同等精度。同时,该测量系统解决了传统应变片测量系统对心误差大、操作繁琐、效率低和测量结果稳定性差等问题,具有较高的工程应用价值。     

基于激光干涉测试技术的分离式Hopkinson压杆实验测试系统

分离式Hopkinson压杆（SHPB）实验的传统测试技术是基于应变片的电测技术,测试结果的可靠性强烈依赖于应变片与杆之间粘贴质量,受到人为因素的影响较大。本文中采用基于多普勒频移原理的双探头全光纤激光干涉测速技术,以粒子速度为监测目标,借助应力波传播理论,换算成试件的应变和应力,从而建立了SHPB实验的非接触光学测试系统。针对韧性和脆性两类材料,分别提出了激光正入射和激光斜入射两种测试技术。再以铝合金和PZT陶瓷为例,通过与传统的应变片测试结果以及DIC测量结果的对比分析,验证了两种测试技术的有效性。与传统的应变片测试技术相比,新的激光干涉测试技术具有免标定、抗干扰、可靠性高等许多优点,有助于实现SHPB实验测试系统标准化。     

基于数字图像的分离式霍普金森压杆实验中试件应变及两端应力的同步测量法

本文提出一种基于高速摄像和数字图像相关方法(DIC)的分离式Hopkinson压杆(SHPB)测量技术,从而实现试件应变和两端应力的同步测量。即在与试件接触的输入输出杆两端制作散斑,通过高速摄像获取SHPB实验过程中的散斑变形图像,由DIC测得各时刻试件的应变、输入输出杆端的应变(可直接换算为试件两端的应力)。由于试件和杆端的应变都是从同一张高速摄影的图像上分析得到的,因此它们是同步的。应用该方法对钢纤维混凝土试件的SHPB试验进行了测量,测量结果与传统应变片测量结果吻合,验证了该方法的可行性。该技术不仅实现了SHPB实验中试件应变和应力的同步测量,还将有助于直接检验各材料在SHPB实验中试件两端的力在实验过程中是否平衡。     

经不同表面改性处理的钛合金的微动疲劳和微动磨损行为对比研究

对比研究了钛合金微动疲劳(FF)和微动磨损(FW)失效行为,考察了表面喷丸强化和氮化等表面处理对钛合金微动疲劳和微动磨损性能的影响,探讨了钛合金微动磨损和微动疲劳性能的相关性.结果表明,钛合金微动疲劳和微动磨损损伤表面形貌特征相似;当微动位移幅较大、微动区发生整体滑动时,微动接触区磨损有利于延缓微动疲劳裂纹萌生;而在小位移幅、部分滑移情况下,局部磨损促进微动疲劳裂纹萌生.利用喷丸强化在钛合金表面引入残余压应力,可以在降低摩擦系数的同时,提高钛合金抗微动疲劳和微动磨损失效的能力;氮化处理后钛合金表面硬度提高,有利于改善其微动磨损性能,但表面韧性降低导致抗微动疲劳能力降低.因此,在提高表面硬度的同时,不应忽视表层韧性的降低对钛合金微动疲劳性能的不利影响.     

Limitations of the Coulomb friction assumption in fretting fatigue analysis

A significant factor in the fretting process, both experimentally and analytically, is the Coulomb friction. Most analyses of fretting fatigue consider a constant coefficient of friction (CCOF) in modeling a contact geometry. This work reevaluates the constant assumption of the Coulomb friction coefficient, and develops a Coulomb friction model based on a non-classical model allowing the coefficient of friction (COF) to be a function of local contact pressure and local slip magnitude. Here, the Coulomb COF varies locally along the contact surface. Results of computations using this model are applied to fretting fatigue experiments utilizing several specific contact geometries, which have nominally identical fatigue lives experimentally. The analysis shows that certain combinations of parameters in the variable coefficient of friction model can produce nominally identical stress states. Such results cannot be obtained using a CCOF.     

Physics-based modeling for fretting behavior of nominally flat rough surfaces

A physics-based modeling approach for fretting behavior of nominally flat rough contact is proposed. This approach employs physics-based models for partial slip of spherical contacts to formulate the contact forces at asperity tips. The individual asperity forces are added by a statistical method to obtain the fretting response of a flat rough contact. This approach suggests the plasticity index as an important parameter for studying the surface roughness effects on fretting. Fretting responses obtained by one of the models favorably compare with experimental results obtained from bolted steel lap joints. Tangential stiffness and energy loss per cycle obtained from the experiments and the model predictions deviate at higher preloads. This discrepancy is due to limitations of the modeling approach in accounting for plastic response to tangential loading.     

位移幅值对铜镁合金微动磨损行为的影响

在研制的多功能微动磨损试验机上,开展了不同位移幅值下铜镁合金微动磨损试验,以研究位移幅值对铜镁合金微动磨损行为的影响. 微动过程中记录摩擦系数曲线与F_t-D-N曲线,利用光学显微镜(OM)、扫描电镜(SEM)、能量色散X射线光谱仪(EDS)及三维形貌仪对损伤区域进行了微观分析. 结果显示:随着位移幅值的增加,铜镁合金微动运行状态由部分滑移进入完全滑移,未发现混合滑移状态;部分滑移区中呈现由弹性变形协调逐渐向塑性变形协调转变的趋势. 磨损体积随位移幅值的增加而增加,在完全滑移区中体积损失非常严重. 在弹性变形协调的部分滑移状态下,接触表面损伤轻微,而由塑性变形协调的部分滑移状态下,接触中心出现较大切应力,疲劳裂纹扩展至接触表面导致材料剥落,接触边缘有磨粒磨损和氧化磨损的痕迹. 在完全滑移状态下,接触表面损伤主要为疲劳剥层,磨粒磨损和氧化磨损.      

Cross Polarization for Improved Digital Image Correlation

Digital image correlation (DIC) is a surface deformation measurement technique for which accuracy and precision are sensitive to image quality. This work presents cross polarization, the use of orthogonal linear polarizers on light source(s) and camera(s), as an effective method for improving optical DIC measurements. The benefits of cross polarization are characterized through quantitative and statistical comparisons from two experiments: rigid body translation of a flat sample and uniaxial tension of a superelastic shape-memory alloy (SMA). In both experiments, cross polarization eliminated saturated pixels that degrade DIC measurements, and increased image contrast, which enabled higher spatial precision by using smaller subsets. Subset sizes are usually optimized for correlation confidence interval (typically with subsets of 21×21 px or larger), but can be decreased to achieve the highest possible spatial precision at the expense of increased correlation confidence intervals. Smaller subset sizes (such as 9×9 px) require better images to maintain correlation within error thresholds. By comparing DIC results from a uniaxial SMA tension test with unpolarized and cross-polarized images, we show that for 9×9 px subsets, the loss of valid DIC data points was reduced almost ten-fold with cross polarization. The only disadvantage we see to cross polarization is the decrease in specimen illumination due to transmission losses through the polarizers, which can easily be accommodated with sufficiently intense light sources. With the installation of relatively inexpensive linear polarizing filters, an optimum optical DIC setup can provide even better DIC measurements by delivering images without saturated pixels and with higher contrast for increased DIC spatial precision.     

微动频率对钢丝拉扭复合微动腐蚀疲劳行为影响研究

拉扭复合微动腐蚀疲劳是深井提升钢丝绳主要失效形式之一,深井提升钢丝绳振动频率决定钢丝间微动频率,直接影响钢丝拉扭复合微动腐蚀疲劳机理和损伤程度,进而制约深井提升钢丝绳服役安全性. 本文作者通过自制钢丝拉扭复合微动腐蚀疲劳试验机开展了酸性电解质溶液中钢丝拉扭复合微动腐蚀疲劳试验,通过钢丝切向力-位移幅值和扭矩-扭转角滞后回线分析了拉扭复合微动腐蚀疲劳过程中钢丝间接触状态及轴向和扭转方向钢丝耗散能,运用扫描电子显微镜和三维白光干涉表面形貌仪考察了拉扭复合微动腐蚀疲劳过程中钢丝磨痕形貌和磨损深度轮廓特性,采用X射线三维成像系统揭示了钢丝拉扭复合微动腐蚀疲劳裂纹扩展演化规律,通过电化学分析仪分析试验后钢丝Tafel极化曲线和阻抗谱以探究钢丝电化学腐蚀倾向和耐腐蚀性,揭示了微动频率对拉扭复合微动腐蚀疲劳过程中钢丝间接触状态、钢丝耗散能、微动磨损机理、疲劳裂纹扩展演化和疲劳寿命、电化学腐蚀倾向和耐腐蚀性的影响规律. 结果表明:在拉扭复合微动腐蚀疲劳过程中,随着微动频率的增加,钢丝间由完全滑移和部分滑移混合状态变为完全滑移状态,钢丝扭矩-扭转角滞后现象削弱,钢丝切向力-位移幅值和扭矩-扭转角滞后回线对应的耗散能均总体降低,钢丝间摩擦系数和钢丝磨损深度均降低,钢丝磨损机理均为磨粒磨损、黏着磨损、疲劳磨损和腐蚀磨损,钢丝最大裂纹深度和裂纹扩展速率均降低,疲劳寿命增加,钢丝电化学腐蚀倾向下降和耐腐蚀性增强.      

数字图像相关法测量局域变形场中形函数和模板尺寸的影响

数字图像相关法测量均匀变形场已被普遍接受, 其测量结果可与应变片测量结果比较. 然而, 在工程测量中, 针对局域变形场(应变高度集中, 如波特文-勒夏特利埃带、试件缺口附近和裂纹尖端等), 应变片受限于其尺寸, 其测量结果是接触面内的平均应变值. 此时, 采用数字图像相关法能够测量这些局域变形场. 但形函数和模板尺寸等计算参数对计算结果影响很大, 这也导致使用者很难判断计算结果的可靠性. 论文通过对合金拉伸实验获得的不同应变梯度的波特文-勒夏特利埃带和模拟生成的带的计算分析, 发掘了形函数和模板尺寸作用于计算结果的深层机制, 证明了二阶形函数比一阶形函数更适用于高度非均匀的局域变形场. 提出了在局域应变场测量中, 当一阶和二阶形函数计算结果的相对误差小于10% 时, 二阶形函数的结果是可靠的判据.      

Physics-based modeling for partial slip behavior of spherical contacts

A physics-based modeling approach for partial slip behavior of a spherical contact is proposed. In this approach, elastic and elastic–plastic normal preload and preload-dependent friction coefficient models are integrated into the Cattaneo–Mindlin partial slip solution. Partial slip responses to cyclic tangential loading (fretting loops) obtained by this approach are favorably compared with experiments and finite element results from the literature. In addition to load-deformation curves, tangential stiffness of the contact and energy dissipation per fretting cycle predictions of the models are also provided. Finally, the critical assumptions of elastically similar bodies, smooth contact surface and negligible adhesion, and limitations of this physics-based modeling approach are discussed.     

碱性腐蚀环境下接触载荷对钢丝微动疲劳行为的影响

以矿用钢丝为研究对象,在自制的钢丝微动疲劳试验机上开展钢丝在碱性腐蚀环境下的微动疲劳试验,考察钢丝在应变比为0.8时不同接触载荷下钢丝的微动运行特性,并用光学显微镜和扫描电子显微镜观察钢丝的磨痕和断口形貌,分析其微动磨损和疲劳断裂机理.结果表明:不同接触载荷下钢丝的摩擦系数具有相同的变化趋势,均可以分为4个阶段:跑合期、上升期、下降期和稳定期;4种不同接触载荷下钢丝摩擦副均运行于滑移状态,磨损机制以腐蚀磨损、磨粒磨损、疲劳磨损和塑性变形为主;钢丝疲劳寿命与磨损量成反比,疲劳断口可分为3个区:疲劳源区、扩展区和瞬断区.     

Mechanics of advancing pin-loaded contacts with friction

This paper considers finite friction contact problems involving an elastic pin and an infinite elastic plate with a circular hole. Using a suitable class of Green's functions, the singular integral equations governing a very general class of conforming contact problems are formulated. In particular, remote plate stresses, pin loads, moments and distributed loading of the pin by conservative body forces are considered. Numerical solutions are presented for different partial slip load cases. In monotonic loading, the dependence of the tractions on the coefficient of friction is strongest when the contact is highly conforming. For less conforming contacts, the tractions are insensitive to an increase in the value of the friction coefficient above a certain threshold. The contact size and peak pressure in monotonic loading are only weakly dependent on the pin load distribution, with center loads leading to slightly higher peak pressure and lower peak shear than distributed loads. In contrast to half-plane cylinder fretting contacts, fretting behavior is quite different depending on whether or not the pin is allowed to rotate freely. If pin rotation is disallowed, the fretting tractions resemble half-plane fretting tractions in the weakly conforming regime but the contact resists sliding in the strongly conforming regime. If pin rotation is allowed, the shear traction behavior resembles planar rolling contacts in that one slip zone is dominant and the peak shear occurs at its edge. In this case, the effects of material dissimilarity in the strongly conforming regime are only secondary and the contact never goes into sliding. Fretting tractions in the forward and reversed load states show shape asymmetry, which persists with continued load cycling. Finally, the governing integro-differential equation for full sliding is derived; in the limiting case of no friction, the same equation governs contacts with center loading and uniform body force loading, resulting in identical pressures when their resultants are equal.     

An Error Criterion in Digital Image Correlation for Unknown Deformation Fields and Its Application of Parameters Selection

Digital image correlation (DIC) is a widely used optical metrology for surface deformation measurement. In DIC, the square root of the mean square error (RMS error) and standard deviation error (SD error) are used as quantitative criteria in order to evaluate the accuracy and robustness of a DIC method\algorithm. However, RMS and SD error criteria are computed from prescribed and measured displacements, which indicates that the prescribed displacement fields must be precisely generated. Therefore, it is difficult to quantitatively evaluate the accuracy and robustness of an algorithm\method in practical DIC measurements because imposed displacements are unknown (that’s why DIC measurements are needed). Moreover, the accuracy of DIC measurements highly relies on parameters selection, especially the selections of subset size and shape function. In practice, the subset size and shape function are usually selected according to experience because there are numerous factors (e.g. the quality of speckle image, local displacement field) and uncertainties (e.g. noise level, out-of-plane motion, illumination lighting fluctuation during image capturing) that affect the parameters selection, which makes it difficult to select optimal parameters based on previous works which mainly focused on theoretical deduction in ideal condition. In this paper, an error criterion for evaluating the accuracy of practical DIC measurements with unknown displacements is proposed. Numerical experiments are used to validate the effectiveness and feasibility of the proposed criterion for accuracy evaluation. It is concluded that the square root of the sum of squared forward and backward displacements difference (SFBD) error has a significant positive linear correlation with the widely used SD error in most practical DIC measurements where the mismatch between the frequently-used first- and second-order shape functions and the actual field is usually small. Also, an application of the proposed criterion is presented by real experiments for subset size and shape function selections, which verifies that the proposed error criterion can be effectively used for DIC parameters selection.     

润滑油脂对钢丝微动磨损特性的影响

在自制的微动摩擦磨损试验机上,以矿用钢丝为研究对象,探讨润滑油脂对钢丝微动磨损特性的影响规律.结果表明:润滑油脂使钢丝微动运行区域中部分滑移区和混合区显著缩小,滑移区增大;摩擦系数和磨损量显著降低,跑合期延长;润滑油脂条件下,部分滑移区损伤轻微,环状区域较光滑,混合区和滑移区摩擦氧化减少,损伤以表面疲劳及磨粒磨损为主,磨痕表面较平滑,损伤程度明显小于干摩擦条件.     

CrMoV合金钢的微动疲劳实验研究

本文利用一种自行设计的微动疲劳实验装置研究CrMoV合金钢的微动疲劳特性。作者研究了接触压力对材料微动疲劳寿命的影响规律,得到了研究条件下CrMoV合金钢的接触压力阈值。当接触压力较小时,微动桥压块与试件表面间有相对滑动,微动疲劳寿命随接触压力的增加快速下降;当接触压力达到或超过阈值62.5MPa时,微动疲劳寿命达到最低值并不再随接触压力的增加而下降。本文给出了CrMoV合金钢在接触压力为225MPa的微动疲劳曲线和零接触压力(纯)疲劳曲线,并给出微动疲劳强度与常规疲劳强度的关系,分析了微动疲劳破坏的微观机理。     

General results for complete contacts subject to oscillatory shear

In this paper, we consider the general interfacial characteristics of a square elastic block, pressed onto an elastically similar half-plane by a constant normal force, and subjected to oscillatory shear. It is found that there is a critical coefficient of friction, 0.543, above which the contact is permanently stuck along its entire length for a shearing force below about 55% of that needed to cause sliding. For shearing forces above this, the contact interface will either shakedown to a fully adhered state (depending on the degree of reversal of the shear loading) or will exhibit cyclic slip at an interior point. If the coefficient of friction is below 0.543, the application of normal load alone will produce equal and opposite slip zones attached to the contact edges. The subsequent imposition of a shear force causes the leading edge slip zone to increase in length while the presence of residual slipping tractions at the trailing edge causes the trailing edge to lift off. Under oscillatory loading, the contact edges cycle between slip and separation over a minute region while an interior point may exhibit cyclic slip if the loading history is sufficiently demanding. The results found are of practical relevance to the study of fretting fatigue of complete contacts, such as some types of spline joint.