Transcript
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    CHAPTER 2.

    LITERATURE REVIEW

    This chapter contains a brief review of literature which exists in

    the field of casting and its simulation. Within this broad area, the

    present work involves simulations of mould filling and its effect on

    solidification behavior of metals/alloys. Accordingly, in line with the

    scope of the present study. It also covers the advantages of

    simulations in improving the quality of castings, and lists the major

    commercial applications currently available.

    2.1 THE CASTING PROCESS

    The casting process starts from receiving an order from a

    customer which may include the design, physical properties, etc.,

    then the foundry must plan how to make the castings, what methods

    must be used, then produce a prototype of the casting[4], modify the

    casting methods to get rid of the defects, produce the product, and

    last of all, send the final product to the customer. Fig. 2.1 shows the

    main procedure of a casting process, but the procedure in each

    casting facility may differ in detail.

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    Fig:2.1. Main procedure of casting [5]

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    2.1.1 New Casting Development

    From Fig:2.1, the area in the shaded box could be called the

    development of a new casting, which in detail, might be separated into

    three stages, product design, tooling development and foundry trials

    [8].

    2.1.2 Product design

    The three important considerations, which effects the techno-

    economic value of a cast product, can be stated as:

    (i) Functional requirements

    (ii) Property requirements and

    (iii) Production and quality requirements.

    The above requirements are developed through three steps of

    the product design, which are conceptual design which focuses on the

    geometries of the product to accomplish the required functions,

    detailed design, which includes selecting the materials, defining the

    geometry and its tolerances and prototyping which basically is

    producing a prototype to test the form, fit and function of the product.

    Iterations may be done to these design steps to achieve optimality of

    techno-economic value of the component.

    2.1.3 Tooling Development

    This stage involves setting the best orientation of the casting

    and the determination of the parting line or parting lines if there has

    to be more than two segments of moulds to produce the casting.

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    Also, some castings might have multiple cavities instead of just one. It

    also involves the internal cavities such as holes and undercuts which

    needs the design and incorporation of cores [6]

    The cores or dies must be easy to remove from the part.

    additional cavities comprise feeders or risers (number, location, shape,

    and dimensions), sprues, runners, the gating system which leads the

    molten metal into the mould. Other accessories include cooling,

    guiding and ejection systems (for die casting). The method for

    manufacturing the tooling depends on its material, complexity, quality

    and time/cost considerations.

    2.1.4Foundry Trials

    Trial castings are made to observe the flaws and defects that

    might happen in a casting which may occur from the previous stages.

    components must be tested by destructive and non-destructive

    techniques for finding surface and sub-surface flaws. Macro porosities

    and shrinkages may be seen by the naked eye while micro porosities

    and micro structural defects would require seeing through a

    microscope. Non-destructive methods include radiography,

    ultrasound, magnetic particle, dye penetrant, and eddy current

    testing[7]. Using the outcome these tests, the tooling, may be

    modified, and the process parameters, may also be modified to

    improve the casting quality. If the defects cannot be eliminated by

    modifying the process parameters or tooling design, then the product

    design may be modified. However, it is very expensive and time

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    consuming. Fig:2.2 shows the relationships of management time

    spent, the ability to influence the production process, the cost of

    rectifying mistakes in the process and the accumulated costs to each

    product development phase

    Fig:2.2. Cost and impact of product development phases [8]

    2.2 CASTING SIMULATION SOFTWARE

    In this day and age, customers, especially in the automotive industry,

    would be more likely to request castings with high quality (Q), quick

    delivery (D) and at a low cost (C). A tool that foundries may use to

    achieve the three goals previously mentioned is to apply Computer

    Aided Engineering into their process, in this case is by using

    computer simulation software for casting. A generalized procedure for

    using casting simulation software may be explained as follows.

    1) Build a model of the casting design including the gating system and

    all other material used with the casting, such as chills, cores, sleeves,

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    etc. This step may be done by using a CAD (Computer Aided Design)

    system.

    2) Input required data needed for computation, such as the physical,

    mechanical and heat properties of the metal, properties of the mould

    or die, pouring temperature, pouring time, pressure, etc.[9]

    3) Computation of the simulation, which different casting simulation

    programs may have different approaches in simulating the results.

    Some well known approaches, for example are, the numerical

    simulation approaches (Finite Element and Finite Difference Methods),

    the geometrical approach Sarfaraz, et al. [11], the mesh less method

    Lewis et al. [10]

    4) Simulated results and interpretation of results. The results from the

    simulation program may be shown in the form of graphs or colored

    figures with numerical results depending on what criterion is used,

    such as the temperatures in each section of the casting at a given

    time, solidification times, hot spots, material density, etc. These

    results must be translated into useful information to evaluate if a

    casting is sound or not, or what must be done to improve the casting

    design and start from step 1 once again.

    2.2.1 The Usefulness of Casting Simulation Software

    In the past, the foundry man has strived for ways to improve the

    casting process and eliminate the defects that occurred in the castings

    by trial and error and past experiences. The time needed to produce a

    particular product is a time-consuming process. Problems occurred in

    the casting may only be solved through trial and error. Scientists

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    throughout the years have studied the science of casting and

    metallurgy and developed theories and mathematical models to

    explain the properties of metals while going through the solidification

    process. Simulation programs were developed from these methods

    which are useful in predicting how the casting will come out. Defects

    and problems can be discovered before the actual casting is cast

    avoiding costly tests to prevent the problems. The process of

    manufacturing a new casting design in a foundry starts from receiving

    a design from a customer, which would include all dimensions and

    tolerances, what kind of material and additives, and may also include

    the strength, hardness or surface finish, etc. Then the foundry man or

    the foundry engineer would design the gating and risering system for

    the casting. The time used in designing and re-designing the gating

    and risering system might take a few days or up to several weeks

    before good castings can be made. Depending on the casting

    complexity and the skill of the foundry man or the engineer. Casting

    simulation software can predict where and what defects might occur

    in a casting and the time and material used in the trial stage may be

    reduced significantly.

    2.2.2 Casting Simulation Methods

    The casting simulation programs have different approaches in

    calculating and predicting the outcome of a casting. Each method

    hold advantages and disadvantages compared to another. Some

    casting simulation methods may be shown below:

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    i) Numerical Approach such as : Finite Element Method (FEM), and

    Finite Difference Method (FDM)

    ii) Geometrical Approach - K-Contour Method.

    iii) Computer Wave Front Analysis, generally implemented as: Pour-

    out Method - Cubic Spline Functions

    iv) Mesh less Method.

    v) Grid-based simulation system Pan et al. [12]

    2.2.3 Study of Casting Technology and Simulation Softwares for

    Castings

    Metal casting has evolved throughout the ages. The techniques have

    been passed on and improved through generations. Metal casting,

    although having a history of thousands of years, still hasnt stopped

    evolving. The developments and findings of new casting techniques

    and technologies are made every day.

    Alloy steel sand casting technology is very unique and has a

    very long history. The research on how to simulate the sand casting

    process hasnt been found in the literature search during the study.

    Because alloy steel casting process experiences the similar mould

    filling and solidification as in other casting process, it implies that

    many approaches and methods conducted in the designs and

    analyses of the conventional casting process might be extended to the

    designs and analyses of alloy steel casting process. The methodologies

    of other casting process are evaluated to help in the development of an

    approach to simulate sand casting process, applied to alloy steels.

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    The casting simulation research has been actively carried out

    for around 20 years. During the early stage, the research work was

    focused on the thermal analysis of the casting process [13,14]. In the

    early 1990s, more and more work dealt with coupled thermal,

    radiative view factor and fluid-flow calculation [15,16]. But until very

    recent, the research work hasnt been focused on the integrated model

    of the whole casting process. The research topics may be categorized

    into following interrelated areas:

    o Heat Transfer Model

    o Mould filling analysis

    o Solidification analysis

    o Stress modelling

    o Casting process control and optimization

    2.2.4 Thermal Analysis of Casting Process

    Thermal analysis is the first research area of the computer

    simulation of the casting process. The early research work included

    the heat conduction and molten metal solidification in the casting

    process [17]. The radioactive heat transfer is added to the models of

    investment casting process [18, 19] since the heat transfer through

    radiation is significant in this process.

    2.2.5 Mould Filling Analysis of Casting Process

    Mould filling has been one of the earliest areas of the casting

    simulation. Since the nature of the mould filling is influenced by the

    shape of mould cavity, the algorithm is developed based on the

    computing techniques for solving transitions in fluid flow. The earliest

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    algorithms used for the mould cavity flow filling are Marker-and-Cell

    (MAC) developed by J.E. Welch et al. [20] and the Simplified Marker-

    and-Cell (SMAC) algorithm developed by A. A. Amsdem and F. H.

    Harlow et al. [21and 22]. Then another algorithm, Volume of Fluid

    (VOF) was developed by B. D. Nichols and C.W. Hirt et al. [23] this

    approach tracks the free surface by solving a transport equation of the

    pseudo-concentration function. Several modifications have been made

    to the original VOF algorithm, which were subsequently named as

    Donor-Acceptor approximation [24] and Van Leer approximation [25].

    The SOLA-VOF [25, 26] which employs the Donor-Acceptor algorithm

    became a popular approach in the mould filling simulation research.

    In recent years, progress has been made in embedding VOF-

    filling type algorithms into FE (Finite Element) codes [27, 28, and 29].

    The unstructured mesh facility of FE permits a casting mould to be

    represented more accurately using far less elements/cells than in the

    control volume case.

    2.2.6 Solidification Analysis of Casting Process

    The central element in the solidification process model is in

    dealing with the nonlinearity associated with the latent heat

    release/absorption along with the solid liquid interface. A fully

    developed solidification model also needs to integrate the latent heat

    algorithms with algorithms dealing with fluid flow. For a pure metal

    and eutectic alloy, the solidification temperature is at one point. But

    for other alloys, there exists a solid-liquid region, the solidification

    starts at the liquidus temperature and ends at the solidus

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    temperature. To handle the latent heat release between the solid and

    liquid interface, two major classes of methods have been

    developed,viz.,1. Front tracking methods [30, 11] and 2. Fixed grid

    methods [31]. The inter-dendrite flow in the mushy region should be

    included in the fluid flow model, this is achieve on the addition of

    appropriate source terms, e.g., a Darcy like source term [33] to signify

    the porous nature of the mushy region. A range of examples of this

    approach can be found in the references.

    2.2.7 Stress Analysis of Casting Process

    In the process of solidification, there is an interaction between

    the cooling behavior and the deformation of the solidified component

    of the metal in the mould. As the metal cools, it often shrinks and

    causes a gap to form at the metal surface-mould interface and this

    impact the subsequent heat transfer behavior. The solution of models

    of the solidification process based on assuming heat conduction only

    and using a FE method has been possible for some years. It is clearly

    demonstrated whenever the thermal behavior is independent of the

    deformation behavior, then the FE method is a straightforward

    approach [34,35and36], given the thermal history to predict the

    elastic deformation behavior as the phase change proceeds. Much

    work [37] on the stress development in continuously cast metals

    during solidification has also been pursued over the past decade. In a

    comprehensive review of the thermal stress development in metal

    casting processes, Dantzig [38] describes the formulation of elastic,

    plastic and creep behavior.

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    The researchers [34, 35] have been using the thermo-elastic FE

    code and heat transfer codes to model the impact of the interaction

    between heat transfer and deformation. The explicit thermo-elastic FE

    code enables the prediction of the separation between the metal and

    the mould. The heat transfer FE code is used to simulate the

    temperature during solidification. The heat transfer code pumps

    through the temperature distribution at every certain thermal time

    steps for the metal-mould geometry to thermo-elastic FE code to

    evaluate the distortion of the metal and the mould. The impact of this

    distortion on the formation of gaps is then fed back to the heat

    transfer code. The numerical methods used in computer simulation of

    casting process, are presented in detail in [39,33 and 40]

    2.2.8 Studies Useful for Casting Simulation Software

    In order for a casting simulation software program to predict the

    results of a casting, there must be studies and researches about the

    characteristics of each component in each process. Liu et al[41].

    studied the effect of die pressure, time of loading and piston position

    of pressure amplification on the variation of pressure and the quality

    of casting because casting pressure conditions in die casting have

    immense effect on die casting defects, which may be gas porosity,

    shrinkage porosity and gas holes. Normally metals shrink when they

    lose heat, which is the same as a casting would shrink when it

    solidifies in a mould, but sometimes the casting may start to expand

    after it cools down to a certain temperature according to what material

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    it is made of. The heat transfer rate would depend on the heat transfer

    coefficient (h) between two types of surface, in the case of casting are

    the casting and the mould, but since a casting may shrink in the

    solidification process, the h value may change because of the gap of

    air formed by the shrinkage of the casting. Wang et al[42]. has

    conducted a study to measure the interfacial heat transfer coefficient

    (h) between high temperature casting alloys and moulds during the

    casting due to gap formation. It was found that a high value of

    interfacial heat transfer coefficient is generally obtained at the start of

    the casting, then the value drops abruptly and then rises to a certain

    value, and then the value gradually decreases. It was also observed

    that the heat transfer coefficient (h) value is not considerably affected

    by the casting alloys but rather by the mould material; castings with

    ceramic moulds would have an h value between 22W/m2K and

    350W/m2K while sand moulds are between 40W/m2K and

    90W/m2K.DeLooze et al. [43] has studied how the operating

    parameters of a low pressure die cast (LPDC) machine and the quality

    level of the aluminum melt precious the casting cooling rate and/or

    the microstructure of the aluminum. The arrangement and

    distribution of micro porosity in the castings was used as an indicator

    of casting quality and solidification conditions, and experimental data

    for the operation of burst feeding in low pressure die casting was

    detected. There were important improvements to the directional

    solidification and micro structural refinement were achieve with die

    cooling has done research on applying Campbells ten casting rules

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    [44]to develop high quality aluminum castings quick cast process,

    Yang et al [45] studied the effect of casting temperature on the

    properties of gravity cast and squeeze cast aluminum alloy with 13.5

    percent silicon and zinc alloy with 4.6 percent aluminum and found

    out that casting temperature had an effect on the mechanical

    properties of both the types of casting. Herman et al.[46] has done a

    study about implementing an optimization tool consisting in an

    optimization algorithm and casting process simulator. It was applied

    to an industrial casting machine where spray coolant flows were

    optimized.

    Casting process simulation has become an industry standard,

    casting simulation has helped foundries to point out the factors that

    have a significant effect on the quality and price of the casting, as

    observed by Jakumeit et al.[47].

    Many a casting and casting related simulation software

    programs are created in order to achieve the most accurate

    predictions. Some may have more strength in some areas than the

    other. Sarfaraz, Ahmad Reza [48] have done a study of coupling two

    simulation programs, the CFD (Computational Fluid Dynamics)

    program FLUENT and casting simulation tool CASTS, for simulating a

    mould filling and solidification for an aerospace investment casting.

    Also, a paper by Moreira and Ribeiro et al.[49] discusse the

    advantages and limitations of the use of two software packages,

    FLOW-3D based upon the Finite Element Method and SOLIDCast

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    based upon the Finite Difference Method. The Finite Element and

    Finite Difference Methods are the two most well known approaches in

    casting simulation software. Both methods are mesh based simulation

    programs which may have some disadvantages in predicting hot spots

    and simulating the jetting and splashing effects during mould filling.

    Alter natively, the experienced foundry men, devised the techniques

    for predicting hot spots by using a geometric transformation method

    known as the medial axis transformation and a technique based on

    mesh-less method for simulating the mould filling process.

    2.3 Implemented Casting Simulation Software Case-studies.

    Many casting manufacturers have implemented casting simulation

    software to their production and have been successful. Wright et al.

    [50] conducted two successful case studies of implementing casting

    simulation technology within the company, Walker Die Casting, which

    is a producer of complex aluminum castings. In 1995, a foundry

    named Raahen Tersvalimo Oy in Finland was casting various valve

    components for Neles Controls. The foundry was experiencing some

    defects in a particular stainless steel that resulted in repair welding.

    The foundry considered investing in casting simulation software and

    this component was selected as a test case. The foundry used

    CastCAE to simulate the test model and the defects were predicted

    exactly as what the foundry experienced. Circular chill and insulating

    sleeves were added in the system and resulted in a sound casting.

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    Later, the real casting was made according to the new design and

    resulted in sound castings.

    A research by Alonso and Franco et al. [51] used SOLIDCast

    along with OPTICast to raise the yield of vertical gating systems in the

    investment casting process of a jewelry workshop. It was found that

    these two modules showed a great potential from improving the design

    of the filling systems.

    2.4 CURRENT STATUS OF REASERCH

    So many recent investigators have discussed on a variety of issues in

    the terms of yield, shrinkage, and soundness of castings through

    simulation. Some of them were discussed here.

    2.4.1 Solidification Modelling Review

    Kannan et al. [52] acknowledged that the present thrust of

    solidification modelling research lies in the enhancement of heat

    transfer and fluid flow techniques towards the goal of solving micro

    structural modelling problems. The current state of the art, which

    takes the form of 3D finite element and finite difference codes, fully

    coupled with a computational fluid dynamics simulation. Ghosh et al.

    [53] but since to a large extent leftovers unidentified about the process

    of nucleation in these materials, some level of ambiguity exists in their

    model. Brown and Spittle et al. [54] spot out that while finite element

    and finite difference analysis methods can offer commanding solutions

    to solidification problems, they should have a physical model of the

    solidification process upon which to support their analysis. Tu et al.

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    [56] make use of a typical, state of the art finite element application to

    examine the investment casting processes. Beffel et al. [57] their work

    reveal the extent of information available from a typical FEM-based

    solidification simulator. It also reveal a need for significant computing

    time.

    The investigations by Pehlke et al. [58] resulted in two

    commercially available solidification simulators, the 2D AFS Solid

    package and the 3D AFS Solidification System. Further the literature

    reveals that Estrin et al.[55] utilized built in mould and material

    databases in order to produce quality results. Brown et al. [54]

    observed that each FDM model requires complete reworking in order

    to accommodate the analysis of a new alloy. Further they realized an

    speed improvement over conventional FDM analysis with cellular

    automaton software. Hill et al. [60] as well use a cellular method to

    arrive at a quick, fairly accurate solidification time plot. The

    information gained from this analysis provided a basis for design of

    risers and gating using expert system routine, to quickly visualize the

    thick regions of a casting in the same way as a casting engineer does.

    Among the earliest solidification modelling techniques, Chvorinovs

    rule is quite popular [61] however Upadhya and Paul et al. [62] stated

    that most applications utilizing Chvorinovs rule used some form of

    feature-based modelling or sectioning of a solid model in order to

    break a full casting geometry into simple components. While some of

    these applications are capable of performing 3D calculations, most of

    them only apply to 2D simplifications of 3D models. Pei et al. [63]

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    presented an application to perform most of the work in dealing out a

    solid model for modulus calculations. Sirilertworakul et al. [64]

    presented solidification modelling details by sectioning a casting

    geometry automatically using an AutoCAD function to accurately

    predict localized differences in cooling rates for internal and external

    corners which influence micro structures and internal stresses in the

    castings. while Nieses et al. [65] also computed the section moduli of

    2D sections based upon an area/perimeter value for section modulus,

    Sirilertworakul et al. [64] proposed a point modulus calculation which

    depends upon both the distance of a point to each edge of a section

    and a view factor for each edge with respect to that point.

    In an attempt to extend Chvorinovs rule to high alloy steels,

    cast irons and certain non ferrous alloys DeKalb et al. [66] combined

    this global section modulus formula with a considerable amount of

    experimental data. This code popularly known as SWIFT, can also

    calculate the start and end of the mushy zone of a long solidification

    range alloy at a given time. [62 and 67] used a distributed point

    modulus calculation to calculate the local section modulus of points

    in a finite difference mesh of a casting. A majority of the commercial

    packages available today, for solidification modelling, incorporate

    concepts discussed above. Such as SWIFT, MAVIS (cellular

    automaton), and ProCAST. In addition these commercial packages

    have extended capabilities to be run on PCs, and many of them can

    be operated on multiple platforms. Further, to facilitate solidification

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    modelling in investment casting ,Sandia National Laboratories has

    brought a commercial package, called FASTCAST [68]

    P.L Jain et al.[69] suggested the best suitable testing method for

    the identification of defects in the casting, as result of improper design

    of parting line or due to misplacement of cope and drag.

    Viswanathan et al.[70]described the extended utility of ProCAST

    software for avoiding shrinkage, improving cast metal yield, optimizing

    the gating system, optimizing mould filling, and finding the thermal

    stresses, as means to maintain the casting quality.

    Maria Jose et al. [71] reported that successfull solidification

    modelling of steel sand castings using ProCAST which resulted

    reducing the production costs and increasing of profits by improving

    yield.

    B.Ravi et al. [72] while reviewing CAD/CAM revolution for small

    and medium foundries, reported that mould filling has the greatest

    influence on casting quality. He substantiated by stating that the flow

    of molten metal being poured experiences turbulence for a variety of

    reasons. In his paper, he described the systematic procedure for

    design, analysis, optimization and validation in steel casting practice

    and compared the performance of various commercial packages.

    A.K .Tahari et al.[73] simulated the combined effects of the heat

    transfer; sand permeability, free surface pattern, and fluid flow during

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    the modelling stage of metal casting. Practically, such routine can be

    used to analyze a casting design through simulation.

    In an attempt to develop high quality aluminum castings, Wong

    et al.[74] had applied Campbells 10 casting rules and the designs

    were validated by using CAE software .

    B.Ravi et al. [75] elucidated the role of simulation in design and

    analysis of casting, the benefits, bottle necks and best practices

    involved. It is further concluded that casting simulation tools has

    become essential for a better and efficient casting practice.

    Guharaja et al. [76] have done a study about obtaining the

    optimal settings of green sand casting to yield the optimum quality

    characteristics by using Taguchis parameter design approach and

    verified by confirming with practical experiments.

    A paper by Moreira and Ribeiro et al.[77]discussed the

    performance of two software packages, namely FLOW-3D and SOLID

    Cast they concluded that SOLIDCast cannot be applied to complex

    geometries but gave the results in short span of time for simple

    geometries.

    Hu Hong-jun et al. [78] researched the influence of casting

    process on quality of casting using ProCAST. They reported significant

    improvement in casting yield by optimizing the pouring and riser

    system.

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    B.Ravi et al.[79] analyzed feedability using solidification

    simulation, and found that high temperature signifies fewer

    possibilities for solidification shrinkage.

    Prabhakar Rao et al. [80] analysed the stresses developed in

    straight and flanged bars in sand and die-casting of an aluminium

    alloy using X-Ray diffractrometry. It was concluded that due to

    hindrance in contraction, the flanged bars developed higher stress

    than straight bar.

    C.Monroe et al. [81] discussed the effect of mould and cast

    metal properties on distortion during casting of steel, and concluded

    that they have substantial influence on hot tear formation, during

    solidification of steel castings .

    2.5 CONCLUDING REMARKS

    The research findings presented by each of the authors cited in

    the literature review were critically examined to establish a sound

    foundation for this research project and to provide a basis for

    measuring its contribution to knowledge. Starting from the middle of

    1980s, due to the decreasing cost of computers and advances in

    computing methods, computer simulation of foundry process has

    been developed and improved by both academic and industry. Studies

    on casting defects and improvement on yield of castings have then

    stepped forward from experiment based investigations to computer

    simulation aided research. The advantages of the simulation of the

    castings and the factors that can be controlled in the simulations to

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    get the improved quality of the casting. So many researchers

    described success in modelling and simulation of solidification. By

    implementing the simulation skills to the casting process we can

    visualize the process and by giving the proper data to the simulation

    we can get the optimum parameters of the casting process. The

    results of this review revealed that there have been rapid advances in

    many areas of casting solidification simulation technology with regard

    to casting quality. This was mainly brought on by the requirements to

    deliver defect free castings to customers and increase the quality

    standards of casting products. An extensive search of the literature

    has also indicated that simulation of non ferrous die castings with

    FEM simulation has not been explored to the alloy steel sand castings

    to date. This is the topic of research addressed in this thesis. The

    above literature review reveals that the primary focus of earlier

    researchers was on the mechanism of casting defect formation and

    measures to control the same. Further, it can be noticed that the

    results of these studies were not confirmed with manufacturing

    industry. Added to this, there has not been any significant work

    reported in the literature on solidification modelling of alloy steel

    castings made by sand casting route. This literature search was

    focused on obtaining information on simulation of sand castings with

    complex shapes, by varying gating positions, reducing defects and

    improving yield of the castings. However, it was found that there was

    no published research addressing these issues within an integrated (a

    combination of earlier mentioned factors) framework. Hence, there is a

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    need to examine the performance of simulation applied to alloy steel

    castings, made by sand casting. The literature review indicated that

    simulation techniques had the potential to be used to detect sub

    surface defects in castings. It was clear that factors such as mould

    material and cast materials are critical variables in the simulation of

    castings. However, FEA approach has not been suitably explore for

    simulation of alloy steel sand castings. Therefore, the development of

    an effective methodology for numerical simulation of alloy steel

    castings made by CO2 strengthened sand moulds through a FEA

    simulation approach is investigated as part of this research program.


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