CURRENT STATUS AND FUTURE DIRECTION IN THE NUMERICAL MODELING AND SIMULATION OF MACHINING PROCESSES: A CRITICAL LITERATURE REVIEW

This paper presents a literature review on modeling and simulation of the metal cutting process, with special consideration to difficult-to-cut materials. The critical issues in the modeling of the cutting process are presented and investigated, which include the identification and formulation of the material constitutive equation, as well as the models that describe the tribological and thermal interactions at the tool-chip interface. The available approaches for generating constitutive data are critically examined, and their advantages, capabilities and limitations are discussed. The formulation of the constitutive equation significantly affects the accuracy of the finite element (FE) simulation. The evaluation criteria proposed recently by the authors to assess the goodness of different constitutive relationships for the machining process are presented. It is shown that more accurate simulation can be obtained when using a pressure-dependent friction model, compared to that with uniform coefficients. Similar conclusion can be drawn in relation to expressing the thermal contact resistance (or conductance) as position dependent, being directly correlated to the local contact pressure at the interface. In addition, the current applications and future directions of the finite element modeling (FEM) of the metal cutting process are summarized.     

EXPERIMENTAL STUDIES AND MODELING OF HEAT GENERATION IN METAL MACHINING

Heat generation in the cutting zones due to plastic deformation and friction in the cutting region governs insert wear, tensile residual stresses on the machined component surface and may give rise to undesired tolerances and short component life. Therefore, it is crucial that the heat generation is kept under control during metal cutting. In this study an analytical model for prediction of heat generation in the primary and secondary deformation zones is compared with results from finite element simulations and temperature measurements using IR-CCD camera. The used cutting data are altered to study the temperature influence from tool geometry and feed when machining stainless steel SANMAC316L and low carbon steel AISI 1045.     

AN 'EFFECTIVE CUTTING TOOL THERMAL CONDUCTIVITY' BASED MODEL FOR TOOL-CHIP CONTACT IN MACHINING WITH MULTI-LAYER COATED CUTTING TOOLS

This paper presents a new modeling approach, based on Oxley's predictive model, for predicting the tool-chip contact in 2-D machining of plain carbon steels with advanced, multi-layer coated cutting tools. Oxley's original predictive model is capable of predicting machining parameters for a wide variety of plain carbon steels, however, the tool material properties and their effects are neglected in the analysis. In the present work, the effect of the tool material, more particularly, the effect of multiple coating layers and the individual coating thicknesses on the tool-chip contact length in orthogonal machining is incorporated. The results from the model predict the tool-chip contact length with respect to major cutting parameters such as feed and rake angle, work material parameters such as the carbon content in the steel, and varying thicknesses and combinations of coating layers. This model enables more precise cutting tool selection by predicting the relative tribological impact (in terms of tool-chip contact length) for a variety of multi-layer coated tools.     

NUMERICAL AND EXPERIMENTAL INVESTIGATION OF LASER-ASSISTED MACHINING OF INCONEL 718

A numerical investigation of laser-assisted machining for Inconel 718 is presented. This study is based on a three-dimensional finite element model, which takes into account a new constitutive law of Inconel 718 as well as friction and heat transfer models at the tool-chip interface that are developed at the Aerospace Manufacturing Technology Centre (AMTC), of the National Research Council of Canada (NRC), Canada. The material flow stress is described as a function of the strain, the strain rate, and the temperature. The friction model accounts for the sticking and the sliding regions observed experimentally. The formulation of the heat transfer model is based on combining contact mechanics analysis with the solution of the thermal contact problem. The laser beam is modeled as a moving heat source, which is experimentally calibrated. To validate the three-dimensional finite element model, laser-assisted machining experiments were designed and carried out under different cutting conditions. The predicted cutting force and chip thickness are compared with the experimental results. The temperature, stress, strain, and strain rate fields in the primary deformation zone are investigated in order to reveal the plastic deformation process under laser-assisted machining operations.     

UNIFIED APPROACH AND INTERACTIVE PROGRAM FOR THERMAL ANALYSIS OF VARIOUS MANUFACTURING PROCESSES WITH APPLICATION TO MACHINING

Analytical approach to thermal aspects of various manufacturing processes, such as machining, grinding, polishing, welding, heat treatment, laser processing, and tribology was used by many researchers between the late 1930s and early 1940s. That was the golden period when Blok introduced the heat partition concept in 1937; Jaeger developed the heat source method in 1942; and Rosenthal introduced the moving heat source theory in 1946. Starting from the Fourier's partial differential equation (PDE) of heat conduction, researchers have addressed various manufacturing processes using different approaches, namely, separation of variables, Fourier transform, Laplace transform, Bessel function, and Green's function methods. Consequently, it has become difficult to conceive a unified analytical approach of the various manufacturing processes based on the review of the literature as one approach differs from the other quite significantly and integration of them would be a formidable task, if not an impossible task. In contrast, using the Jaeger's classical heat source method and appropriate heat source (shape, size, and distribution) we developed a unified analytical approach to address the thermal aspects of various manufacturing processes. Such an approach, to the best of our knowledge, has never been attempted before and lends itself to the development of a user friendly interactive programming software that can be extremely valuable in practice. In this paper, we used Jaeger's classical heat source method, modified Hahn's oblique moving heat source for the shear plane heat source, Blok's ingenious heat partition method, and Chao and Trigger's functional analysis approach to illustrate the analysis of the temperature distribution in the work material, chip, and cutting tool in machining.     

MODELING OF WHITE AND DARK LAYER FORMATION IN HARD MACHINING OF AISI 52100 BEARING STEEL

In machining of hardened materials, maintaining surface integrity is one of the most critical requirements. Often, the major indicators of surface integrity of machined parts are surface roughness and residual stresses. However, the material microstructure also changes on the surface of machined hardened steels and this must be taken into account for process modeling. Therefore, in order for manufacturers to maximize their gains from utilizing hard finish turning, accurate predictive models for surface integrity are needed, which are capable of predicting both white and dark layer formation as a function of the machining conditions. In this paper, a detailed approach to develop such a finite element (FE) model is presented. In particular, a hardness-based flow stress model was implemented in the FE code and an empirical model was developed for describing the phase transformations that create white and dark layers in AISI 52100 steel. An iterative procedure was utilized for calibrating the proposed empirical model for the microstructural changes associated with white and dark layers in AISI 52100 steel. Finally, the proposed FE model was validated by comparing the predicted results with the experimental evidence found in the published literature.     

DEPENDENCE OF MACHINING SIMULATION EFFECTIVENESS ON MATERIAL AND FRICTION MODELLING

Numerical simulation of cutting processes is still a very difficult matter, although some relevant geometrical simplifications and high-performance codes are used. A large number of technical papers have been focused on the predictive capability of the codes: nevertheless the prediction quality is not very satisfactory if the problem is analyzed in a wide sense. In this paper the simple orthogonal cutting process of a plain-carbon steel is investigated taking into account different process conditions (cutting speed and feed rate). Furthermore, four material constitutive equations and three friction models were implemented and a sensitivity analysis was carried out comparing the numerical predictions and the experimental evidences. The results of this wide analysis are described in the paper.     

CHIP MORPHOLOGY CHARACTERIZATION AND MODELING IN MACHINING HARDENED 52100 STEELS

Hard machining is attracting more and more attention as an alternative to grinding in finish machining some hardened steels. The saw-toothed chips formed in hard machining have their own unique characteristics. The saw-toothed chip morphology is of great interest since the understanding of the saw-toothed chip morphology and its evolution in machining helps unveil hard machining chip formation mechanisms as well as facilitate hard machining implementation into industry. In this study, the effect of tool wear and cutting conditions on the saw-toothed chip morphology was examined in machining 52100 hardened 52100 bearing steel. It was found that the chip dimensional values and segmentation frequency were affected by tool wear and cutting conditions while the chip segmentation angles were approximately constant under different tool wear and cutting conditions. The shear band spacing has also been predicted at the same order of magnitude as the measurement, and improved spacing modeling accuracy is expected if the cutting process information can be better predicted first.     

A NUMERICAL INVESTIGATION OF THE CHIP TOOL INTERFACE IN ORTHOGONAL MACHINING

A plane-strain thermo-elasto-viscoplastic finite element model has been developed and used to simulate orthogonal machining of 304L stainless steel using a ceramic tool. Simulations were carried out employing temperature-dependent physical properties. The model is used to investigate the effect of process parameters, tool geometry and edge preparation on the contact mechanics at the chip/tool interface. Stress and strain within the chip and the elastic tool are presented. Variables at the chip/tool interface such as contact length, sticking and sliding regions, normal and shear stresses, and frictional heat are investigated. Plastic deformation beneath the machined surface is compared for sharp and chamfered tools.     

MACHINING RESIDUAL STRESSES IN AISI 316L STEEL AND THEIR CORRELATION WITH THE CUTTING PARAMETERS

It is well known that machining results in residual stresses in the workpiece. These stresses correlate very closely with the cutting tool geometrical parameters as well as with the machining regime. This paper studies the residual stress induced in turning of AISI 316L steel. Particular attention is paid to the influence of the cutting parameters, such as the cutting speed, feed and depth of cut. In the experiments, the residual stresses have been measured using the X-ray diffraction technique (at the surface of the workpiece and in depth). The effects of cutting conditions on residual stresses are analyzed in association with the experimentally determined cutting forces. The orthogonal components of the cutting force were measured using a piezoelectric dynamometer.     

INDUCTION-HEATED TOOL MACHINING OF ELASTOMERS—PART 1: FINITE DIFFERENCE THERMAL MODELING AND EXPERIMENTAL VALIDATION

Experiments and finite difference thermal modeling of the induction-heated tool for end milling of elastomers are investigated. Three sets of experiments are designed to calibrate the contact thermocouple for the tool tip temperature measurement, study the effect of tool rotational speed on induction heat generation and convective heat transfer, and measure the tool temperature distribution for finite difference inverse heat transfer solution and validation of modeling results. Experimental results indicate that effects of tool rotation on induction heat generation and convective heat transfer are negligible when the spindle speed is below 2000 rpm. A finite difference thermal model of the tool and insulator is developed to predict the distribution of tool temperature. The thermal model of a stationary tool can be expanded to predict the temperature distribution of an induction-heated rotary tool within a specific spindle speed range. Experimental measurements validate that the thermal model can accurately predict tool tip peak temperature.     

INFLUENCE OF FRICTION AND PROCESS PARAMETERS ON THE SPECIFIC CUTTING FORCE AND SURFACE CHARACTERISTICS IN MICRO CUTTING

For the production of small quantities of micro devices, machining is a low cost alternative to lithographic processing techniques. However, machining shows process specific size-effects upon miniaturization to the micrometer regime. Hence, the orthogonal turning process is chosen to study the influence of process parameters like uncut chip thickness h, cutting velocity v_c and cutting edge radius r_β on the cutting force and the surface plastification by two-dimensional, thermo-mechanically coupled finite element simulations. A rate-dependent plasticity law is used for investigation of a normalized medium carbon steel (AISI 1045). Furthermore, the characteristics of the influences of the different parameters are analyzed mathematically by similarity mechanics. In particular, the frictional effects on the cutting process are studied in detail using a friction coefficient μ based on experimental results, and the influences of the process parameters on the cutting force and the plastic deformation of the surface layer are determined numerically. These results are compared with experimental measurements. The specific cutting forces are analyzed and discussed in detail. Size-effects observed experimentally are also found by numerical simulations.     

MODELING, VALIDATION AND OPTIMAL DESIGN OF THE CLAMPING FORCE CONTROL VALVE USED IN CONTINUOUSLY VARIABLE TRANSMISSION

Associated dynamic performance of the clamping force control valve used in continuously variable transmission （CVT） is optimized. Firstly, the structure and working principle of the valve are analyzed, and then a dynamic model is set up by means of mechanism analysis. For the purpose of checking the validity of the modeling method, a prototype workpiece of the valve is manufactured for comparison test, and its simulation result follows the experimental result quite well. An associated performance index is founded considering the response time, overshoot and saving energy, and five structural parameters are selected to adjust for deriving the optimal associated performance index. The optimization problem is solved by the genetic algorithm （GA） with necessary constraints. Finally, the properties of the optimized valve are compared with those of the prototype workpiece, and the results prove that the dynamic performance indexes of the optimized valve are much better than those of the prototype workpiece.     

THE SURFACE INTEGRITY IN MACHINING HARDENED STEEL SKD11 FOR DIE AND MOLD

Milling cutters were evaluated by tool wear, cutting force and vibration. Surface integrity of grinding and milling were investigated by comparing residual stress distributions, metallurgical structure, hardened layer depth and surface roughness. And influence of cutting tool wear on surface integrity was investigated. Experimentations revealed that the preferable surface integrity would be obtained if the proper milling cutter as well as a small wear criterion were adopted to avoid the advent of tempered martensite. The research results pointed out the feasibility of taking milling as the finish machining process instead of grinding in machining hardened steel with high efficiency.     

THE SURFACE INTEGRITY IN MACHINING HARDENED STEEL SKD11 FOR DIE AND MOLD

Milling cutters were evaluated by tool wear, cutting force and vibration. Surface integrity of grinding and milling were investigated by comparing residual stress distributions, metallurgical structure, hardened layer depth and surface roughness. And influence of cutting tool wear on surface integrity was investigated. Experimentations revealed that the preferable surface integrity would be obtained if the proper milling cutter as well as a small wear criterion were adopted to avoid the advent of tempered martensite. The research results pointed out the feasibility of taking milling as the finish machining process instead of grinding in machining hardened steel with high efficiency.     

EFFECT OF SOME MODIFICATIONS TO OXLEY'S MACHINING THEORY AND THE APPLICABILITY OF DIFFERENT MATERIAL MODELS

Oxley's machining theory has recently been extended[1] Adibi-Sedeh, A. H., Madhavan, V. and Bahr, B. 2002. Extension of Oxley's analysis of machining to use different material models. Submitted to ASME Journal of Manufacturing Science and Engineering [Google Scholar] to accept material property inputs in the form of widely used constitutive models such as the Johnson–Cook and MTS material models. In the process, additional modifications have been made to the model to improve its self-consistency. For instance, the shear force is obtained from the total work of deformation, thereby eliminating the unknown parameter η, and the hydrostatic pressure at the tool-chip interface is calculated considering the gradient in temperature in addition to the gradient in strain. This study is aimed at understanding the effect of these modifications separate from the changes due to the introduction of the new material models by comparing results obtained using Oxley's original model to that obtained with the above modifications. We also compare results obtained using different constitutive models for AISI 1045 to the experimental results of the “Assessment of Machining Models” effort.     

NON-EQUILIBRIUM STATIONARY STATE IN CHEMICAL REACTION OF SiO_2/Fe AT INTERFACE OF SLAG/METAL AND ITS STABILITY DURING ARC WELDING

For characteristics of open and far from thermodynamic equilibrium in welding chemical reaction, a new kind of quantitative method, which is used to analyze direction and extent for chemi- cal reaction of SiO_2/Fe during quasi-steady state period, is introduced with the concept of non-equilibrium stationary state. The main idea is based on thermodynamic driving forces, which result in non-zero thermodynamic fluxes and lead to chemical reaction far away from thermodynamic equilibrium. There exists certain dynamic equilibrium relationship between rates of diffusion fluxes in liquid phase of reactants or products and the rate equation of chemical reaction when welding is in quasi-steady state. As result of this, a group of non-linear equations containing concentrations of all substances at interface of slag/liquid-metal may be established. Moreover the stability of this non-equilibrium stationary state is discussed using dissipative structure theory and it is concluded theoretically that this non-equilibrium stationary state for welding chemical reaction is of stability.     

EXPERIMENTAL ANALYSIS OF TEMPERATURE IN GRINDING AT THE GLOBAL AND LOCAL SCALES

The purpose of the article is the experimental estimation of the global and local heat fluxes and the corresponding energy partition to the workpiece for regular grinding of 100Cr6 steel with aluminium oxide wheel. By using a grindable thermocouple, the temperature and the real contact length allow determination of the global heat flux and the partition ratio at the wheel scale. The high frequency analysis of the signal has shown maximum flash temperatures of about 1000°C corresponding to the local temperature under the chip-grain unit with very high heating speed of about 100°C/µs. The comparison between theoretical temperature decay and experimental cooling has demonstrated that the time response of the sensor is fast enough for the estimation of the local temperature and power due to the sliding of grain and to the plastic strain of ground materials.     

ON THE NATURE OF MACHINING CRACKS IN GROUND CERAMICS: PART I: SRBSN STRENGTHS AND FRACTOGRAPHIC ANALYSIS

ABSTRACT

Machining cracks in ground sintered reaction-bonded silicon nitride (SRBSN) rods and bars were analyzed by fractographic techniques. Grinding flaw sizes were as small as 12 µm and as large as 80 µm and correlated strongly with grinding direction and wheel grit size. Some grinding treatments had no deleterious effect on strength since the machining cracks were very small and fracture occurred from the material's inherent flaws. The telltale signs of machining damage may be detected with conventional low power optical microscopy using simple fractographic techniques. The telltale signs are summarized in a new series of schematic drawings which will aid pattern recognition for engineers and fractographers.