Evaluation of surface cracking in micron and sub-micron scale scratch tests for optical glass BK7

In order to obtain the fundamental information on the deformation and fracture behavior of brittle materials during precision and ultra-precision grinding, micron and sub-micron scale scratch tests were conducted on optical glass BK7 using Vickers indenters. Three types of surface cracking were observed around the scratch grooves. They are lateral cracking, radial cracking and cracking in front of the moving indenter. It is found that lateral cracking is the main damage type due to its large damage size and low crack initiation load. The effect of surface cracking on the relationship between the normal load and the square of scratch depth was studied. The plastic zone size as well as the sliding blister field strength was expressed as a function of the contact zone size of the indenter. A prediction model for the size of damage zone induced by lateral cracking was established and was compared with experimental results.     

Critical Load Analysis for a Layered Half-Space under Sliding Indentation

Analyses are presented for cracking or delaminating problems of thin coatings on dissimilar thick substrate materials under a normal and a tangential force. Based on the energy principle associated with the consideration of substrate deformation, an analytical expression has been proposed to predict the critical load of an adherent stiff thin coating on a compliant substrate. The critical load has been shown to depend on the hardness, the coating thickness, the surface energy of adhesion, the coefficient of friction, contact areas of a scratch track, and elastic moduli of coatings and substrates. Experimental observations of microscratch testing on a CrN coating deposited on a soft coating, labeled as SC-I, over a Cu/Zn alloy substrate have shown that buckling and cracking in a semicircular arc ahead of an indenter are the predominant failure modes, thereby confirming the assumption of the theoretical calculation. Using Beuth's solution, a simple fracture model describing the cracking of thin coatings has been developed over a range of practical elastic mismatches and applied to solve cracking problems of compliant coatings in this work. Microscratch results from another soft coating, labeled as SC-II, on a Cu/Zn alloy substrate have revealed that cracks first occur along the edge of the circular contact area in the rear of the indenter due to the tensile stress. The stress formulae of Hamilton and Bower and Fleck are therefore introduced into this model to compute the critical load required to initiate a crack in the coating and the stress intensity factor of the coating.

     

Acoustic emission monitoring and failure mechanism analysis of rolling contact fatigue for Fe-based alloy coating

The aim of present study is to monitor rolling contact fatigue (RCF) behavior and analyze failure mechanism of the coating by acoustic emission (AE) technology. The results show that AE amplitude and counts are sensitive to RCF damage process, and variation regularities are different during different damage stages. Spalling is the key failure mode. RCF damage process is composed of five stages, such as elastic deformation, plastic deformation, crack initiation and propagation, crack stable growth, and unstable growth. Fatigue cracks are liable to initiate and grow along the direction of defects within the coating, such as pores and cracks.     

The basic study about the effect of single point grinding on the bending strength of brittle material

Single point grinding was investigated by using a sliding indentation apparatus. Sharp indenter sliding against brittle solid produces a scratch with a median crack. The size of the crack depends on the applied indenter load and the sliding speed. The effect of the crack size and its orientation on bending strength of glass is investigated experimentally. It is shown that the tested glass has high bending strength when the indenter load is low, bending direction is parallel to the scratch, and sliding speed is low. The results of bending test are predictable by fracture mechanics analysis including residual stress effect. This study makes it possible to understand the influence of grinding conditions on the bending strength of ground ceramics.     

Comparison between Lemaitre and Gurson damage models in crack growth simulation during blanking process

In this paper, the numerical results obtained by a finite element analysis in the case of sheet metal blanking process are compared with the experimental ones to verify the validity of Gurson and Lemaitre damage models in describing the initiation and propagation of cracks during the process evolution. The concept of continuum damage mechanics has been retained to describe the progressive damage accumulation into the sheet metal leading to the final rupture. During the analysis, the crack propagation is simulated by the propagation of a completely damaged area. The comparative study of the results obtained by simulations using different damage models and experimental ones, showed that Gurson damage model is not able to predict the fracture propagation path in a realistic way. Only Lemaître damage model gives good results.     

车轮多边形激励下的滚动接触疲劳裂纹瞬态扩展行为研究

利用ANSYS/LS-DYNA建立带车轮多边形的三维轮轨滚动接触疲劳裂纹扩展模型,将真实轮轨间瞬态滚滑和高频动力作用考虑在内,分析车轮多边形和连续钢轨裂纹造成的瞬态接触载荷对钢轨裂纹动态扩展行为的影响。速度250 km/h牵引工况的结果表明:零间隙多裂纹对法向轮轨力的影响甚微,但会造成切向轮轨力不可忽略的波动;车轮多边形会造成法向和切向轮轨力显著的周期性波动,如0. 1 mm波深23阶多边形会使得各裂纹面最大法向和切向接触力较圆顺工况分别增长19. 6%、34. 1%;任一裂纹面内法向和切向接触应力在接触斑滚过的0. 22 ms内发生了复杂的瞬态变化,进一步导致各裂纹的最大裂尖应力场强度因子的周期性波动,影响裂纹动态扩展行为;随着车轮多边形波深和阶数的增加,上述各种波动的幅度均会变大,加速裂纹扩展。     

Investigation of mechanical and tribological properties of amorphous diamond-like carbon coatings

We investigated the mechanical and tribological properties of amorphous diamond-like carbon (DLC) coatings deposited on Si(100) by a pulsed bias deposition technique. Tribological studies were performed using a pin-on-disc (POD) apparatus under a normal load of 6.25 N and at 10% relative humidity, with a ruby pin as a slider. Hardness measurements were performed using a nanoindenter and apparent fracture toughness using indentation techniques. We studied the influence of residual stresses on apparent fracture toughness. The data revealed that the thickness, hardness and compressive stress of the coating play different roles in the apparent fracture toughness. Crack initiation is influenced by the thickness and hardness of the coating, whereas crack propagation is influenced by the compressive stress in the film. The apparent fracture toughness of DLC coatings increased with coating hardness.     

Fretting fatigue crack initiation lifetime predictor tool: Using damage mechanics approach

Fretting fatigue is a combination of two complex mechanical phenomena. Fretting appears between components that are subjected to small relative oscillatory motions. Once these connected components undergo cyclic fatigue load, fretting fatigue occurs. In general, fretting fatigue failure process can be divided into two main portions, namely crack initiation and crack propagation. Fretting fatigue crack initiation characteristics are very difficult to detect because damages such as micro-cracks are always hidden between two contact surfaces.In this paper Continuum Damage Mechanics (CDM) approach in conjunction with Finite Element Analyses (FEA) is used to find a predictor tool for fretting fatigue crack initiation lifetime. For this purpose an uncoupled damage evolution law is developed to model fretting fatigue crack initiation lifetime at various fretting condition such as contact geometry, axial stress, normal load and tangential load. The predicted results are validated with published experimental data from literature.     

Experimental study of mechanical properties and scratch resistance of ultra-thin diamond-like-carbon (DLC) coatings deposited on glass

To improve the mechanical and tribological properties of glass, an ultra-thin diamond-like-carbon (DLC) coating of 2.2 nm thick was deposited on the surface of glass, using the linear ion beam deposition technique. The coated glass showed significant improvement in scratch resistance against severe damage, such as cracking, delamination, and chipping. To understand the mechanism, an experimental study was carried out. It was found that the major contribution to the significantly improved scratch resistance attributable to the compressive stress, which was yielded during the deposition process and resides in the coating, as well as the top layer of glass substrate.     

Effect of elastic modulus mismatch on the contact crack initiation in hard ceramic coating layer

Effect of elastic modulus mismatch on the contact crack initiation is investigated to find major parameters in designing desirable surface-coated system. Silicon nitride coated soft materials with various elastic modulus mismatch,E _c /E _s = 1.06 — 356 are prepared for the analysis. Hertzian contact test is conducted for producing contact cracks and the acoustic emission detecting technique for measuring the critical load of crack initiation. The implication is that coating thickness and material strength are controllable parameters to prevent the initiation of contact cracks resulted from the elastic modulus mismatch in the hard ceramic coating layer on the soft materials.     

基于GTN模型的冷轧硅钢边部裂纹扩展研究

针对硅钢板容易在冷轧过程中形成边部裂纹,使用Gurson-Tvergaard-Needleman(GTN)微观损伤模型对带有边部微小缺口的硅钢板在冷轧过程中损伤分布以及裂纹的萌生和扩展进行研究。通过拉伸试验和扫描电镜观察分析得到材料的损伤参数f0、fc和fF,进而通过有限元软件ABAQUS模拟得到各轧制工艺参数对缺口尖端区域损伤分布及微裂纹萌生与扩展的影响,仿真与试验结果表明,在缺口尖端形成两条损伤带,最大损伤值随着压下率的增大而增大,同时裂纹长度随着压下率的增大而迅速增加;当工作辊半径较小时更加容易出现裂纹;沿着轧制方向缺口前侧的比后侧更容易产生裂纹,两侧的裂纹长度都随着摩擦因数的增大而增大;裂纹长度会随着张力的增大而明显增大。研究结果为轧制工艺参数的选择提供理论依据和参考。     

Mechanics of Fretting Fatigue Tests of Contacting Dissimilar Elastic Bodies

A popular fretting fatigue test applies a bulk compression that oscillates in phase with the fretting force. To understand the effect of the bulk compression on fretting, the effect of the bulk compression alone on the fretting stress state and microslip for contacting dissimilar elastic bodies is analyzed. This is accomplished by modeling the fretting configuration with a rigid indenter contacting a plane-strain elastic half-space with the effective elastic properties of the contacting pair. The indenter is loaded by a constant normal load while the half-space is subjected to remote compression parallel to its surface. The bulk compression has a pronounced effect on the stick-slip geometry underneath the contact of dissimilar materials. It is shown that the contacting pads serve as stress concentrators and a mechanism for the initiation of fretting fatigue cracks is discussed. This stress concentration effect is not present when the indenter and the half-space have the same elastic constants.     

基于变切深纳米刻划的K9玻璃表面成形特征及去除机制研究

采用Berkovich压头,在纳米压痕仪上对K9光学玻璃进行了变切深纳米刻划试验。为探究摩擦因数与脆塑转变的深度,基于非线性最小二乘法对法向力、切向力关于刻划深度进行了拟合,并利用相关系数r检验其可靠性。利用AFM和SEM对刻划沟槽表面形貌进行分析,刻划过程存在弹塑转变、塑性去除和脆性断裂三个阶段。基于Hertz接触理论求得K9玻璃弹塑转变深度,根据AFM和SEM的结果,以裂纹刚开始萌生作为脆塑转变点,获得脆塑转变的临界深度。基于脆塑转变深度,通过添加修正系数,改进WEI提出的脆塑转变表征方法,建立了用摩擦因数来表征K9玻璃脆塑转变的表达式。通过分析压头在刻划过程中与工件产生的摩擦区,对脆性断裂阶段裂纹的产生和裂纹方向与刻划方向近似呈60°进行了解释。     

Investigation of high cycle and low cycle fatigue interaction on fretting behavior

Fretting-fatigue behavior and damage accumulation under a variable-amplitude cycling load is investigated in a configuration involving a cylindrical indenter in contact with finite width plate. Relative magnitudes of cyclic tangential and bulk loads not only affect the contact conditions, but also their relative positions with respect to each other. Several stick–slip conditions on the contact surface may develop during the application of variable-amplitude fatigue load, and these are secondary and tertiary slips as well as shake-down. Further, residual shear traction develops during the application of cyclic load. The appropriate characterization of fretting-fatigue behavior or life should, therefore, include the complete history of applied cyclic tangential and bulk loads. Furthermore, experiments from a previous study conducted under a variable-amplitude fatigue loading condition are analyzed to characterize the damage accrual from its individual components involving constant-amplitude fatigue load by incorporating the contact mechanics and a multi-axial fatigue critical plane parameter. This analysis shows that there is nonlinear damage accumulation during variable-amplitude fretting-fatigue load.     

钢丝微动疲劳裂纹萌生寿命预测研究*

钢丝微动疲劳过程中,钢丝裂纹萌生特性直接影响其裂纹扩展特性,进而制约钢丝微动疲劳寿命,因此开展钢丝微动疲劳裂纹萌生寿命预测研究具有重要意义。基于有限元法、摩擦学理论和断裂力学理论,运用Smith-Watson-Topper（SWT）多轴疲劳寿命准则建立考虑磨损的钢丝微动疲劳裂纹萌生寿命预测模型,基于多种不同的钢丝疲劳参数估算方法对钢丝的微动疲劳裂纹萌生寿命进行了预测,并探究接触载荷、疲劳载荷、交叉角度及钢丝直径等微动疲劳参数对钢丝微动疲劳裂纹萌生寿命的影响规律。结果表明：基于中值法的预测结果最接近实际值;在微动疲劳过程中,钢丝微动疲劳裂纹萌生寿命主要与接触载荷和疲劳载荷相关。通过引入微动损伤参数建立简化的适用于钢丝绳的钢丝微动疲劳裂纹萌生寿命预测模型,通过与考虑磨损的预测模型计算结果进行对比验证了该模型的准确性。     

含夹杂物轴承钢中裂纹的萌生与扩展

针对轴承钢中夹杂物周围应力集中导致的疲劳剥落,建立了一种结合连续损伤力学的内聚力模型,用于模拟滚动接触循环加载下的裂纹萌生与扩展。基于内聚力模型的损伤起始准则和损伤演化规律,利用VUMAT子程序结合连续损伤力学构造了新的损伤演化方式,实现循环加载下的损伤累积,建立了基于内聚力模型的疲劳损伤累积失效模型,对含夹杂物模型的疲劳裂纹萌生与扩展进行了模拟,并研究了载荷条件和接触区摩擦因数对裂纹萌生与扩展以及疲劳寿命的影响。研究结果揭示了微观裂纹的萌生与扩展过程,为认识滚动接触疲劳提供了基础。     

Surface and Subsurface Cracks in Rolling Contact Fatigue of Hardened Components

The competitive aspect of surface and subsurface fatigue crack propagation in hardened components subjected to rolling contact fatigue is highlighted, the former being greatly affected by the working conditions (in particular the presence of tangential stresses and lubricant), the latter depending mainly on the inclusions content and on the hardness profile. In order to determine which one of these kinds of damage is favoured, initial data consisting of contact load, rolling and sliding speed, theological properties of the lubricant, material hardness and inclusions content are necessary.

The concurrent role of asperities and Hertzian stress field in determining surface crack propagation is explained with the approach of the “quiescent zone.” calculating the stress intensity factors range in a contact cycle and considering the pumping effect of the fluid possibly present on the contact surface.

Inherent defects (especially oxides) are thought to be responsible for subsurface cracks origin and the Murakami formula for short cracks is extrapolated to describe their growth threshold, which also depends on the hardness and therefore on the depth in surface hardened components.

A crack propagation index is then defined as a ratio of applied to threshold stress intensity factor, both for surface and subsurface cracks. Evaluating this index for a general operating condition, it is possible to determine which damage mechanism is favoured, taking into account the decisive effect of the hardness profile.     

Fretting damage modeling of liner-bearing interaction by combined finite element – discrete element method

This paper presents a methodology to study the fretting damage behavior by combined finite element-discrete element method based on FFD method and cut boundary displacement method. A discrete element modeling technique is developed. An inter-element contact constitutive model and its microscopic parameters are determined and calibrated to reproduce continuous and discontinuous behaviors of material in DEM. A crack visualization technique is developed to display cracks according to their failure mode and time dependency. The effect of fretting condition on crack initiation and propagation as well as fretting damage is studied. The mechanism of fretting wear is investigated.     

Tribological analysis of fracture conditions in thin surface coatings by 3D FEM modelling and stress simulations

A tribological analysis of deformations and stresses generated and their influence on crack generation and surface fracture in a coated surface loaded by a sliding sphere in dry conditions is presented. A three-dimensional finite element method (3D FEM) model has been developed for calculating the first principal stress distribution in the scratch tester contact of a diamond spherical tip with 200 μm radius sliding with increasing load on a 2 μm thick titanium nitride coated steel surface. The model is comprehensive in that sense that it considers elastic, plastic and fracture behaviour of the surfaces. The hard coating will be stretched and accumulates high tensile stresses. At the same time, it is carrying part of the load and thus reducing the compressional stresses in the substrate under the sliding tip. The first crack is initiated at the top of the coating from bending and pulling actions and it grows down through the coating. The fracture toughness of the coating is calculated by identifying from a scratch test experiment the location of the first cracks and the crack density and using this as input data.