A slip-line plasticity analysis of abrasive wear of a smooth and soft surface sliding against a rough (fractal) and hard surface

Abrasive wear of a soft and smooth surface sliding against a rough (fractal) and hard surface was analyzed by the slip-line theory of plasticity. The analysis is based on a slip-line model of a rigid spherical asperity (wear particle) plowing through a soft surface and removing material by microcutting. Integration of this single-contact model into a three-dimensional contact mechanics analysis of an abrasive surface exhibiting multi-scale roughness described by fractal geometry yielded relationships of the abrasive wear rate and wear coefficient in terms of the interfacial shear strength (adhesion), topography (fractal) parameters of the hard/rough surface, elastic–plastic material properties of the soft/smooth surface, and total normal load. Analytical results from the single-contact analysis provide insight into the deformation of a perfectly plastic material caused by the abrasive action of a rigid asperity/wear particle under different normal load and interfacial friction (adhesion) conditions. The dependence of the abrasive wear rate and wear coefficient on normal load (global interference), roughness of the abrasive surface, elastic–plastic material properties of the abraded surface, and interfacial shear strength (lubrication effect) is interpreted in the context of numerical results obtained for representative ceramic/ceramic, ceramic/metallic, and metal/metal sliding systems.     

An adhesive wear model of fractal surfaces in normal contact

A generalized adhesive wear analysis that takes into account the effect of interfacial adhesion on the total load was developed for three-dimensional fractal surfaces in normal contact. A wear criterion based on the critical contact area for fully-plastic deformation of the asperity contacts was used to model the removal of material from the contact interface. The fraction of fully-plastic asperity contacts, wear rate, and wear coefficient are expressed in terms of the total normal load (global interference), fractal (topography) parameters, elastic–plastic material properties, surface energy, material compatibility, and interfacial adhesion characteristics controlled by the environment of the interacting surfaces. Numerical results are presented for representative ceramic–ceramic, ceramic–metallic, and metal–metal contact systems to illustrate the dependence of asperity plastic deformation, wear rate, and wear coefficient on global interference, surface roughness, material properties, and work of adhesion (affected by the material compatibility and the environment of the contacting surfaces). The analysis yields insight into the effects of surface material properties and interfacial adhesion on the adhesive wear of rough surfaces in normal contact.     

考虑摩擦系数和微凸体相互作用的粗糙表面接触热导分形模型

基于三维分形理论,建立了考虑摩擦系数和微凸体相互作用的粗糙表面接触热导分形模型,并且考虑了微凸体的弹性变形、弹塑性变形和完全塑性变形. 通过该模型,分析了摩擦系数、分形维数、分形粗糙度和接触载荷对热接触热导的影响. 研究结果表明:接触热导随着摩擦系数和分形粗糙度的增大而减小,随着分形维数和接触载荷的增大而增大. 该研究为开展接合面的热传递提供了一定的理论基础.      

金属滑动接触的滑移线场理论之发展现状

本文综述介绍了金属滑动接触的滑移线场理论的基本原理及其发展现状。该理论以一个硬质楞在较软金属表面的滑动作为金属滑动摩擦的基本模式,用滑移线场分析方法考察了滑动过程中的应力和应变,导出了摩擦系数的计算公式,揭示了在粘着理论中被隔离开来的粘着与犁削之间的内在联系。试验结果与理论计算结果有较好的一致性。该理论还提出了非疲劳磨损与疲劳磨损的不同变形和断裂机制,揭示了Archard磨损系数与微凸体发生疲劳断裂的临界受荷周期数之间的定量关系。文章还对该理论的进步意义及其发展趋势作了简要的评述。     

单峰接触研究及其在分形表面接触中的应用

基于有限元方法,建立了弹塑性单峰的接触模型.粗糙峰为理想的弹塑性材料,为了考虑不同的材料特性对微凸体变形的影响,分别对9种不同的材料进行了分析.根据有限元计算结果,分析了接触面积,平均接触压力和接触力与变形干涉量之间的关系,并进行了经验公式的拟合.单峰接触所经历的4个不同的阶段,以及不同阶段之间的转化点均作了明确的表达.然后,根据分形理论,将单峰接触模型扩展到了三维的粗糙表面的接触,并提出了一个计算接触表面法向刚度的模型.通过与实验数据和以往模型的结果对比,证明本文中所提出的模型具有较高的精度.     

炭纤维增强铜基复合材料摩擦磨损性能同其磨损表面形貌相关性研究

考察了炭纤维增强铜基复合材料的摩擦磨损性能,利用扫描电子显微镜、电子探针X射线显微分析仪和表面轮廓测试仪等观察分析了复合材料磨损表面形貌和元素组成.结果表明,复合材料摩擦磨损性能及其磨损表面形貌与粗糙度同载荷及滑动速度密切相关,当载荷和速度小于某一临界值时,复合材料同钢对摩时的摩擦系数和磨损率均较小,而当载荷和速度超过临界值时,复合材料的摩擦系数和磨损率均大幅增大,复合材料磨损表面形成了由C、Cu和Fe等元素组成的固体润滑和防护薄膜,使得其在干摩擦条件下同钢对摩时的摩擦系数和磨损率均较低.     

芳纶纤维增强酚醛树脂摩擦材料的磨损机理研究

对芳纶增强酚醛树脂摩擦材料在模拟制动工况下的磨损机理进行了系统的实验研究,结果表明：在试验工况下,两种摩擦材料在与铸铁偶件对摩时均呈现粘着磨损和塑性变形特征;在高速和高压条件下塑性变形加剧,摩擦材料磨损表面可见熔融迹象;摩擦副接触表面发生材料的相互转移,两种摩擦材料均可在偶件表面形成转移膜,且在高速和高压条件下转移膜更易形成;Kevlar纤维作为增强相可以有效地提高摩擦材料的摩擦稳定性,并降低摩擦系数;摩擦材料的磨损机理主要为擦伤作用、粘着磨损和塑性变形。     

考虑接触界面材料微观结构与势能参数的滑动摩擦计算研究

根据独立振子模型的能量耗散机理,提出了在无磨损界面摩擦中,利用通用界面粘附能量函数计算滑动时接触界面势能的变化从而计算摩擦力和摩擦系数的方法,建立摩擦力和摩擦系数与金属材料表面能与微观结构参数的关系,并利用已有的实验数据进行计算.结果表明,摩擦力与金属材料的表面能基本呈线性关系,与比例参数呈线性负相关关系,与晶格常数基本无关.计算结果与粘附理论公式以及超高真空原子力显微镜试验结果吻合较好.     

碳黑填充超高分子量聚乙烯复合材料摩擦磨损性能研究

采用MM-200型摩擦磨损试验机考察了载荷及偶件表面粗糙度对碳黑填充超高分子量聚乙烯(UHMWPE)复合材料摩擦磨损性能的影响；利用扫描电子显微镜观察复合材料磨损表面形貌并分析了其磨损机理．结果表明：同UHMWPE相比，碳黑填充UHMWPE的磨损质量损失随载荷增加而增大的幅度较小；偶件表面粗糙度对碳黑填充UHMWPE复合材料的摩擦磨损性能影响较大，随着偶件表面粗糙度的增大，摩擦系数和复合材料的磨损质量损失均显著增大．UHMWPE及其碳黑填充复合材料在干摩擦条件下同45“钢及SiC喷涂层涂覆45“钢对摩时主要呈现犁削和塑性变形特征，犁削和塑性变形程度随载荷和偶件表面粗糙度增加而加剧。     

A finite element study of the deformations, forces, stress formations, and energy losses in sliding cylindrical contacts

This work presents the results of a finite element analysis (FEA) used to simulate two-dimensional (2D) sliding between two interfering elasto-plastic cylinders. The material for the cylinders is modeled as elastic-perfectly plastic and follows the von Mises yield criterion. The FEA provides trends in the deformations, reaction forces, stresses, and net energy losses as a function of the interference and sliding distance between the cylinders. Results are presented for both frictionless and frictional sliding and comparisons are drawn. The effects of plasticity and friction on energy loss during sliding are isolated. This work also presents empirical equations thatt relate the net energy loss due to sliding under an elasto-plastic deformation as a function of the sliding distance. Contour plots of the von Mises stresses are presented to show the formation and distribution of stresses with increasing plastic deformation as sliding progresses. This work shows that for the plastic loading cases the ratio of the horizontal force to the vertical reaction force is non-zero at the point where the cylinders are perfectly aligned about the vertical axis. In addition, a “load ratio” of the horizontal tugging force to the vertical reaction force is defined. Although this is analogous to the common definition of the coefficient of friction between sliding surfaces, it just contains the effect of energy loss in plasticity. The values of the contact half-width are obtained for different vertical interferences as sliding progresses.     

Stress analysis of a layered elastic solid in contact with a rough surface exhibiting fractal behavior

A contact stress analysis is presented for a layered elastic half-space in contact with a rough surface exhibiting self-affine (fractal) behavior. Relationships for the mean contact pressure versus representative strain and the real half-contact width versus elastic properties of the layer and the substrate, asperity radius, layer thickness, and truncated half-contact width were derived from finite element simulations of a layered medium compressed elastically by a rigid cylindrical asperity. These relationships were incorporated in a numerical algorithm that was used to obtain the contact pressure distributions and stresses generated by the asperity contacts formed at the interface of the layered medium and the fractal surface. Analytical solutions illustrate the significance of the elastic material properties, layer thickness, and surface topography (roughness) on global parameters such as normal load and real contact area. Results for the contact pressure distribution and the surface and subsurface stresses provide insight into the initiation of yielding and the tendency for cracking in the layered medium. It is shown that cracking at the surface and the layer/substrate interface is more likely to occur in the case of a stiff layer, whereas surface cracking is more prominent for a relatively compliant layer.     

纳米MoS2薄膜的浸涂—热解法制备和摩擦学性能研究

用浸涂 -热解法在玻璃基底表面制备了纳米 Mo S2 薄膜 ,利用 X射线光电子能谱仪、X射线粉末衍射仪、原子力显微镜、静 -动摩擦系数测量仪和扫描电子显微镜等仪器研究了薄膜的微观结构、表面形貌和摩擦学性能 ,初步探讨了薄膜的摩擦磨损机制 .结果表明 :浸涂 -热解法制备的 Mo S2 薄膜由近似非晶的纳米微晶组成 ,薄膜均匀、致密 ,表面粗糙度小 ;在室温干摩擦条件下 ,Mo S2 薄膜与 GCr15钢球对摩时显示出良好的抗磨减摩性能 ;当负荷为 1.0 N而滑动速度为 90 mm/ min时 ,其耐磨寿命大于 5 0 0 0次 ,摩擦系数最低可达 0 .12 .磨损表面形貌显微分析表明 :在低速和低负荷下薄膜的磨损机制主要是塑性变形和轻微粘着转移 ,而在较负荷和速度下的主要磨损机制为塑性变形和严重剥落     

基于分形理论的双渐开线齿轮接触应力研究

综合考虑接触面粗糙度、材料特性等因素对齿轮接触应力的影响,基于分形理论和经典Hertz接触理论建立双渐开线齿轮分形接触模型. 该模型中,影响载荷和实际接触面积的主要因素包括分形维数、粗糙度幅值和材料特性参数. 理论分析表明:分形维数一定时,真实接触面积随着载荷的增大而增大;载荷一定时,接触面积随着粗糙度幅值的增大而减小;随着材料特性参数值的增加,在一定程度上加强了软材料轮齿承载能力,同时会使得微凸体由弹性变形到塑性变形的临界面积减小. 对比分形接触模型和有限元模型两种计算双渐开线齿轮轮齿接触应力方法,结果证明了分形接触模型计算双渐开线齿轮接触应力的有效性.      

Unloading an elastic-plastic contact of rough surfaces

A statistical model for the unloading of elastic-plastic contact of rough surfaces is presented for a single load-unload cycle. The hystereses of load-separation and load real contact area behavior are analyzed for a wide range of surface roughness and loading conditions. The residual topography of the unloaded rough surfaces is also analyzed and the new distribution functions of asperity heights and summit radii of curvature along with a corresponding GW residual plasticity index are presented. A new modified plasticity index (MPI) is suggested which considers the energy dissipation due to unrecovered plastic deformations. This MPI varies from zero for purely elastic contacts to unity for purely plastic contacts and hence, can better define the level of plasticity of contacting rough surfaces compared to the original GW plasticity index.     

粗糙峰微接触及其对润滑的影响

根据椭圆弹塑性接触模型,提出了流量因子影响模型,给出了几个该模型的应用计算实例．计算结果表明,该模型与粗糙表面的实际润滑状况有较好的一致性．通过算例分析,发现粗糙峰弹塑性变形对流量因子的影响主要决定于表面综合属性、弹性和塑性变形量．     

表面粗糙度对UHMWPE微动摩擦磨损性能的影响

采用SRV-4微动摩擦磨损试验机,研究了在干摩擦和水润滑条件下,表面粗糙度对UHMWPE微动摩擦磨损性能的影响.结果表明:干摩擦时,随着UHMWPE表面粗糙度的增加,摩擦系数先降低后升高,比磨损率则单调递增.利用光学显微镜和扫描电子显微镜对磨损表面形貌进行分析观测,发现干摩擦时表面粗糙度较小的UHMWPE磨损表面有少量犁沟,并伴随轻微的塑性变形,随着表面粗糙度的增加,摩擦副接触表面间的黏合点增多,黏着磨损加剧,且在对偶钢球的表面形成转移膜.而在水润滑条件下,摩擦系数和比磨损率显著降低,随着表面粗糙度的增加,摩擦系数和比磨损率同干摩擦时的变化趋势一致,磨损以磨粒磨损为主.     

摩擦信号分形维数与载荷和速度的关系研究

在立式万能摩擦磨损试验机上对GCr15/45#钢摩擦副进行不同接触载荷和滑动速度下的摩擦磨损试验,对初始滑动距离1 000 m内的摩擦系数信号进行数据采集,运用结构函数测度方法对摩擦系数信号进行分形表征,计算不同载荷和速度下的分形维数,研究摩擦信号的分形维数随载荷和速度的变化规律.结果表明,摩擦系数信号具有显著的分形特征,其分形维数随载荷和速度而变化.在相同载荷下,分形维数随滑动速度增加而增大;在相同速度下,分形维数随着接触载荷增加而增大.磨损率与摩擦系数信号的分形维数正相关.     

超高分子量聚乙烯及其纳米Al2O3填充复合材料摩擦磨损性能研究

采用MM - 2 0 0型摩擦磨损试验机考察了载荷及对摩偶件表面SiC粒度对超高分子量聚乙烯及其纳米Al2 O3填充复合材料摩擦磨损性能的影响 ,利用扫描电子显微镜观察磨损表面形貌并分析了其磨损机理 .结果表明 :纳米Al2 O3 可以提高超高分子量聚乙烯的硬度及抗磨粒磨损性能 ;随着载荷的增大 ,超高分子量聚乙烯及纳米填充复合材料的磨损加剧 ;纳米Al2 O3 填充超高分子量聚乙烯复合材料的摩擦系数较超高分子量聚乙烯的略有增大 ;纳米Al2 O3 含量的增加有利于超高分子量聚乙烯复合材料抗磨粒磨损性能的提高 ;偶件表面喷涂SiC粒度的大小对超高分子量聚乙烯及其纳米Al2 O3 填充复合材料的磨损影响较大     

基于共轭梯度法和快速傅立叶变换的粗糙表面微动接触数值研究

实际工程表面多为粗糙表面,研究粗糙表面的表面形貌对微动接触中压力和应力的影响具有重要意义。本文研究接触过程中法向载荷保持不变,切向载荷为周期性的交变载荷。首先,建立接触算法和模型,算法核心是利用共轭梯度法CGM(Conjugate gradient method)计算微动接触中的表面压力及切向应力并利用快速傅里叶变换FFT(Fast Fourier transform)加快计算速度。然后,对单峰表面、正弦表面和随机粗糙表面的接触进行数值研究。结果表明,表面幅值对切向载荷-位移曲线以及接触过程中的能量耗散有影响,表面幅值越大,相同切向载荷作用下产生的切向位移越大,能量耗散也越大。     

不同管径氧化钛纳米管层的微动磨损性能

利用阳极氧化法在纯钛表面制备了3组平均内径不同的TiO2纳米管层试样,用扫描电子显微镜、硬度仪和轮廓仪对试样表面形貌、显微硬度、纳米硬度和粗糙度进行测试.在大气环境里,以球/平面接触方式,对摩偶件为超高分子聚乙烯球,采用PLINT高精度液压伺服式微动磨损试验机,分别在4种法向载荷下,对试样进行微动磨损试验.结果表明:随法向载荷的增加,同一摩擦副的摩擦系数降低;TiO2纳米管层的存在降低了钛与UHMWPE之间的摩擦系数,在不同载荷下纳米管层表面的摩擦系数均随管径的增大而增大,但低于无纳米管层的对照组;与UHMWPE对摩,TiO2纳米管层有很好的承载、抗剥离和耐磨性能;摩擦副的主要磨损机理为磨粒磨损、UHMWPE塑变导致的表层材料损失.