Analytical and experimental investigation of rake contact and friction behavior in metal cutting

In this study, the friction behavior in metal cutting operations is analyzed using a thermomechanical cutting process model that represents the contact on the rake face by sticking and sliding regions. The relationship between the sliding and the overall, i.e. apparent, friction coefficients are analyzed quantitatively, and verified experimentally. The sliding friction coefficient is identified for different workpiece–tool couples using cutting and non-cutting tests. In addition, the effect of the total, sticking and sliding contact lengths on the cutting mechanics is investigated. The effects of cutting conditions on the friction coefficients and contact lengths are analyzed. It is shown that the total contact length on the rake face is 3–5 times the feed rate. It is observed that the length of the sliding contact strongly depends on the cutting speed. For high cutting speeds the contact is mainly sliding whereas the sticking zone can be up to 30% of the total contact at low speeds. From the model predictions and measurements it can be concluded that the sticking contact length is less than 15% for most practical operations. Furthermore, it is also demonstrated that the true representation of the friction behavior in metal cutting operations should involve both sticking and sliding regions on the rake face for accurate predictions. Although the main findings of this study have been observed before, the main contribution of the current work is the quantitative analysis using an analytical model. Therefore, the results presented in this study can help to understand and model the friction in metal cutting.     

Influence of tool roughness and lubrication on contact conditions in skin-pass rolling

The special contact conditions in skin-pass rolling of steel strip are examined by experimental as well as numerical analysis studying plane strain upsetting of thin sheet with low reduction applying long narrow tools with smooth and roughened surfaces under dry friction and lubricated conditions. The influence of friction on the extent of a central sticking region is determined by an elasto-plastic FEM analysis of the plane strain upsetting. The experimental results obtained by measuring the local surface extension using markers made by Micro Vickers indentation verify the FE analysis and show significant influence of tool roughness and lubrication on the contact conditions for varying pressure. The central sticking region was larger for larger friction or tool roughness. At increasing pressure a sudden change in deformation pattern appeared with drastic elongation and sliding in case of lubrication. This deformation pattern is also affected by the tool roughness.     

Contact Conditions in Skin-pass Rolling

The special contact conditions in skin-pass rolling of steel strip is analysed by studying plane strain upsetting of thin sheet with low reduction applying long narrow tools and dry friction conditions. An extended sticking region is estimated by an elasto-plastic FEM analysis of the plane strain upsetting. This sticking region causes a highly inhomogeneous elasto-plastic deformation with large influence of work-hardening and friction. A numerical analysis of skin-pass rolling shows the same contact conditions, i.e. an extended sticking region around the center of the contact zone. The calculated size of the sticking region with varying contact length and pressure/reduction is experimentally verified by plane strain upsetting tests measuring the local surface deformation of the work pieces after unloading.     

Modelling heat flow around tool probe in friction stir welding

Abstract

The objective of the present paper is to investigate the effect of including the tool probe in the numerical modelling of three-dimensional heat flow in friction stir welding (FSW). The heat flow close to the probe/matrix interface is investigated. In the models presented, the heat is forced to flow around the 'probe hole'. In this manner, the material flow through the probe region, which often characterises other thermal models of FSW, is avoided. This necessitates controlling the convective heat flow by prescribing the velocity field in the narrow shear layer at the tool/matrix interface. As a consequence the sliding, sticking, or partial sliding/sticking condition can be modelled. Six cases are established, which are represented by three stages of refinement of the heat source model, combined with two different contact conditions, i.e. full sliding and full sticking.     

基于Archard修正模型的角接触球轴承磨损有限元分析

在分析轴承受力和运动的基础上,研究了轴承运行时球与滚道接触区的滑动,计算了一定条件下接触区滑动速度的分布,指出了球在滚道上运动时纯滚动点的存在。开展了球盘摩擦磨损试验,得到了轴承钢在边界润滑条件下的摩擦因数和磨损系数。利用有限元方法和Archard磨损计算模型,建立了球与内圈磨损的仿真计算模型,并分析了运行时间、径向载荷、接触角等因素对轴承磨损的影响。     

Tribological Performance of Coated Surfaces

The fundamentals of coating tribology is presented in a generalised holistic approach to friction and wear mechanisms of coated surfaces in dry sliding contacts. It is based on a classification of the tribological contact process into macromechanical, micromechanical, tribochemical contact mechanisms and material transfer. The tribological contact process is dominated by the macromechanical mechanisms, which have been systematically analysed by using four main parameters: the coating-to-substrate hardness relationship, the film thickness, the surface roughness and the debris in the contact. In this paper special attention is given to the microlevel mechanisms, and in particular new techniques for modelling the elastic, plastic and brittle behaviour of the surface by finite element (FEM) computer simulations. The contact condition with a sphere sliding over a plate coated with a very thin hard coating is analysed. A three dimensional FEM model has been developed for calculating the first principal stress distribution in the scratch tester contact of a diamond spherical tip moving with increased load on a 2μm thick titanium nitride (TIN) coated steel surface. The model is comprehensive in that sense that it considers elastic, plastic and fracture behaviour of the contact surfaces. By identifying from a scratch experiment the location of the first crack and using this as input data can the fracture toughness of the coating be determined.     

Development of a thermomechanical cutting process model for machining process simulations

A thermomechanical model for cutting processes is presented. The deformation in the shear zone is represented using Johnson-Cook material model. The rake contact is modeled using sticking and sliding zones, and their lengths are also predicted. The parameters of the material model and the friction coefficient on the rake are directly identified from a few number of orthogonal cutting tests. The model can predict cutting forces, shear angle and stress, pressure distribution and contact lengths on the rake face and temperature distribution. The application of the model to common operations such as turning and multi-axis milling is also presented with experimental verification, and satisfactory results are obtained.     

不同接触分析方法对计算精度影响的MARC有限元分析

基于商用分析软件MARC,建立了内部受静压力的两层圆形钢筒有限元模型,研究了不同接触分析方法对计算精度的影响规律.结果表明:两接触体的单元密度一致时,解析分析法和离散分析法均可以有效地进行接触分析,达到求解所需的计算精度;在接触体表面密度不一致情况下,解析分析法可以消除离散分析法边界描述不精确导致的误差,提高计算精度.在此基础上,开展了某模锻压机液压缸在液压力作用下球面垫的应力分析,证明了解析分析方法的使用可以有效地提高计算精度,研究工作为解决两接触体因尺寸差异大,难以保证网格划分一致时的接触分析提供了一种有效的求解方法.     

Determination of workpiece flow stress and friction at the chip–tool contact for high-speed cutting

This paper presents a methodology to determine simultaneously (a) the flow stress at high deformation rates and temperatures that are encountered in the cutting zone, and (b) the friction at the chip–tool interface. This information is necessary to simulate high-speed machining using FEM based programs. A flow stress model based on process dependent parameters such as strain, strain-rate and temperature was used together with a friction model based on shear flow stress of the workpiece at the chip–tool interface. High-speed cutting experiments and process simulations were utilized to determine the unknown parameters in flow stress and friction models. This technique was applied to obtain flow stress for P20 mold steel at hardness of 30 HRC and friction data when using uncoated carbide tooling at high-speed cutting conditions. The average strain, strain-rates and temperatures were computed both in primary (shear plane) and secondary (chip–tool contact) deformation zones. The friction conditions in sticking and sliding regions at the chip–tool interface are estimated using Zorev's stress distribution model. The shear flow stress (k_chip) was also determined using computed average strain, strain-rate, and temperatures in secondary deformation zone, while the friction coefficient (μ) was estimated by minimizing the difference between predicted and measured thrust forces. By matching the measured values of the cutting forces with the predicted results from FEM simulations, an expression for workpiece flow stress and the unknown friction parameters at the chip–tool contact were determined.     

Influencing factors on elastic-plastic deformation of multi-layered surfaces under sliding contact

Stress distribution in the gradient multi-layered surface under a sliding contact was investigated using finite element method(FEM). The main structure parameters of layered surface discussed are total layer thickness,layer number and elastic modulus ratio of layer to the substrate. A model of multi-layered surface contact with rough slider was studied. The effect of the surface structure parameters on the elastic-plastic deformation was analyzed.     

Slip-line field model of micro-cutting process with round tool edge effect

This paper presents a slip-line field model which considers the stress variation in the material deformation region due to the tool edge radius effect. The Johnson-Cook constitutive model is applied to obtain the shear flow stress and hydrostatic pressure as functions of strain, strain-rate, and temperature in the primary shear zone. The friction parameters between the rake face and chip are identified from cutting tests. The sticking and sliding contact zones between the tool and chip are considered in the secondary shear zone. The total cutting forces are evaluated by integrating the forces along the entire chip-rake face contact zone and the ploughing force caused by the round edge. The proposed model is experimentally verified by a series of cutting force measurements conducted during micro-turning tests. Micro-cutting process is analyzed from a series of slip-line field simulations.     

Micromechanisms of damage nucleation during contact deformation of columnar multilayer nitride coatings

In order to resolve some missing micromechanistic details regarding contact deformation in nitride multilayer coatings we report here observations from cross-sectional transmission electron microscopy and focused ion beam studies of the Vickers indentations on TiN/TiAlN multilayer films of various total thicknesses as well as bilayer periods. The study of damage induced by contact deformation in a nitride multilayer coating is complemented by stress calculated using an analytical model. Kinked boundaries of sliding columns give rise to cracks which propagate at an angle to the indentation axis under a combination of compressive and shear stresses. It is seen that multilayers provide more distributed columnar sliding, thereby reducing the stress intensity factor for shear cracking, while interfacial dislocations provide a stress relief mechanism by enabling lateral movement of material.     

基于全量理论的金属体积成形多步数值模拟

运用一种基于全量理论的多步有限元方法计算分析了金属体积成形过程.该方法针对刚塑性不可压缩材料,在静力平衡条件下以约束变分原理通过最小化近似塑性势能进行有限元求解.多步模拟在各中间构形的虚拟滑动约束下沿变形路径进行分步迭代计算,考虑了接触和变形历史,能够快速模拟较复杂的体积成形问题.运用该方法对几个典型金属体积成形过程进行了正向一步和多步数值模拟,将计算结果与增量有限元法计算结果进行了比较.结果表明:在计算金属体积成形过程中,基于全量理论的多步有限元模拟能够在大大缩短计算时间的同时获得与增量法计算结果相比偏差小于10%的计算结果.     

FEM analysis of contact mechanism in press-forming of lubricant pre-coated steel sheet

This paper describes the contact situation between the die and the lubricant pre-coated steel sheet in the press-forming by using FEM simulation. The FEM simulation is carried out by supposing that the lubricant pre-coated steel sheet consists of the lubrication layer and thick galvanized layer. Both the lubrication layer and galvanized layer are assumed as rigid–plastic material. The variations in the contact situation between the die and the lubricant pre-coated steel sheet are investigated by changing the friction coefficient between the die and lubrication layer, the thickness and hardness of lubrication layer, the velocity ratio of the relative sliding velocity to pressing velocity, etc. The simulated results show that the contact area ratio is influenced largely by the average contact pressure, the velocity ratio, the thickness of lubrication layer, and friction coefficient.     

Predictive modeling of machining residual stresses considering tool edge effects

The surface integrity of machined components is defined by several characteristics, of which residual stress is extremely important. Residual stress is known to have an effect on critical mechanical properties such as fatigue life, corrosion cracking resistance, and dimensional tolerance of machined components. Among the factors that affect residual stress in machined parts are cutting parameters and tool geometry. This paper presents a method of modeling residual stress for hone-edge cutting tools in turning. The model utilizes analytical cutting force models in conjunction with an approximate algorithm for elastic–plastic rolling/sliding contact. Oxley’s cutting force model is coupled with a slip line model proposed by Waldorf to estimate the cutting forces, which are in turn used to estimate the stress distribution between the tool and the workpiece. A rolling/sliding contact model, which captures kinematic hardening, is used to predict the machining residual stresses. Additionally, a moving heat source model is applied to determine the temperature rise in the workpiece due to the cutting forces. The model predictions are compared with experimental data for the turning of AISI 52100. Force predictions compare well with experimental results. Similarly, the predicted residual stress distributions correlate well with the measured residual stresses in terms of magnitude of stresses and depth of penetration.     

Steady-state frictional sliding contact on surfaces of plastically graded materials

Tailored gradation in elastic–plastic properties is known to offer avenues for suppressing surface damage during normal indentation and sliding contact. In tribological applications, sliding contact analysis provides a more representative mechanism for fundamental understanding and design as it offers a tool to test materials under conditions of controlled abrasive wear. However, no such study exists for plastically graded materials, although the sliding behavior for elastically graded materials has been reasonably well understood. This study has established a systematic methodology to quantify the mechanics of steady-state frictional sliding response for a plastically graded material. Specifically, the effect of linear gradient in yield stress on the frictional sliding response is examined through parametric finite-element (FEM) computation of the instrumented scratch test. Gradients in yield strength affect both the load carrying capacity of the surface and its pile-up around the sliding indenter. An increase in yield strength with distance beneath the surface shifts the peak values of von Mises stress below the surface, thus improving the resistance of the surface to onset of plasticity and damage. For a given elastic–plastic property, an increasing yield strength gradient causes a reduction in total apparent friction through a reduction in the ploughing coefficient. The contact-load-bearing capacity of plastically graded surfaces follows a similar trend during indentation and scratch. However, significant differences between the pile-up and the friction response are observed between normal indentation and steady-state frictional sliding. In particular, an increase in interfacial friction is found to cause an increase in pile-up during scratch, while it causes a decrease in pile-up during indentation. The implications of the present results to the design of graded surfaces are discussed.     

棒材轧制时平均轧辊半径的新计算模型

在圆-椭圆-圆孔型中轧制合佥钢棒材时,提出了接触边界临界点的概念,并且推导出了临界点的解和新的等效接触断面面积公式,给出了计算平均轧辊半径的新模型。为了验证新模型,进行了棒材轧制试验并且利用三维刚塑性有限元法对轧制过程进行了模拟。把不同模型得到的理论结果与实验值和模拟值作了比较后证明新模型具有很高的精度,因此可以作为轧制理论和实践的重要参考。     

不同环境温度下轮轨滑动摩擦热分析

轮轨之间的相对滑动所产生的摩擦热是引起轮轨摩擦损伤的主要因素.环境温度作为轮轨滑动接触中客观存在的自然现象,其大小决定了轮轨与空气间的热量传递以及轮轨表面温度,大部分科研在轮轨滑动接触分析中将环境温度取为20C°.借助ABAQUS有限元软件,对轮轨滑动状态进行三维热弹塑性分析,针对不同的环境温度,在指定滑动速度下,分析轮轨接触区的温度场变化.结果表明:环境温度的增加并未引起轮轨接触区温度场的巨大变化,环境温度数值的大小变化对轮轨滑动摩擦的接触影响较小,在轮轨的数值模拟计算中可以将环境温度取一个定值.     

STUDY ON THE PROBLEMS OF CONTACT IN THE NUMERICAL SIMULATION OF SHEET FORMING

1.IntroductionThesimulationofshellformingprocessisoneofthemostactiveaspectsintheresearchofFEManalysisforplasticformingatpresent,itsanalyzingobjectismainlymetalandplasticformingprocess.Therigidviscthplasticfiniteelementmethodisoneofanalysismethodsofsheetformingprocesses.Thismethodisusedinanalyzingpolymerblowmolding[1],vacuumforming,superplasticforming[Z13]andsheetmetalformingI4'sl.Inthismethodtheproblemofcontactisoneofthekeytechnicalproblems,whichisalwaysthekeydifficultytosolveinFEManalysis…     

An efficient method for solving the Signorini problem in the simulation of free-form surfaces produced by belt grinding

Industrial robots are recently introduced to the belt grinding of free-form surfaces to obtain high productive efficiency and constant surface quality. The simulation of belt grinding process can facilitate planning grinding paths and writing robotic programs before manufacturing. In simulation, it is crucial to get the force distribution in the contact area between the workpiece and the elastic contact wheel because the uneven distributed local forces are the main reason to the unequal local removals on the grated surface. The traditional way is to simplify this contact problem as a Signorini contact problem and use the finite element method (FEM) to calculate the force distribution. However, the FEM model is too computationally expensive to meet the real-time requirement. A new model based on support vector regression (SVR) technique is developed in this paper to calculate the force distribution instead of the FEM model. The new model approximates the FEM model with an error smaller than 5%, but executes much faster (1 s vs 15 min by FEM). With this new model, the real-time simulation and even the on-line robot control of grinding processes can be further conducted.