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INSTITUTE OF PHYSICS PUBLISHING MODELLING AND SIMULATION IN MATERIALS SCIENCE AND ENGINEERING Modelling Simul. Mater. Sci. Eng. 13 (2005) 935–979 doi:10.1088/0965-0393/13/6/011 Coatings and surface modification technologies: a finite element bibliography (1995–2005) Jaroslav Mackerle Department of Mechanical Engineering, Link ¨ oping Institute of Technology, SE-581 83 Link ¨ oping, Sweden Received 15 June 2005 Published 4 August 2005 Online at stacks.iop.org/MSMSE/13/935 Abstract This paper gives a bibliographical review of the finite element methods applied to the analysis and simulation of coatings, their mechanical and material properties from the theoretical and application points of view. The surface modification technologies in the context of coatings are also included. The added bibliography at the end of this paper contains 1032 references to papers and conference proceedings on the subject that were published in 1995– 2005. The following topics are included: coating property simulations; surface modification process simulations and practical coating applications. 1. Introduction The output of scientific papers in general is fast growing, and professionals are no longer able to be fully up-to-date with all the relevant information. The increasing specialization in various engineering fields has resulted in the proliferation of subject-oriented journals and conference proceedings directed to specialist audiences. The researchers have more channels at their disposal for communicating the results of their research, but, on the other hand, to find necessary information may be a time-consuming and difficult process. Another question is whether researchers/scientists are willing to spend time looking for information instead of doing their own research. It has been pointed out that in engineering, informal knowledge channels are the most frequently used means of obtaining information. In the last almost four decades the finite element method (FEM) has become the prevalent technique used for analysing physical phenomena in the field of structural, solid and fluid mechanics as well as for the solution of field problems. The FEM is a useful tool because one can use it to find out facts or study the process in a way that no other tool can accomplish. Available surface engineering systems (single, duplex or multi-layered) combat component degradations of various types and meet requirements of new developed systems working under severe conditions, stressing and environmental. The finite element method assists in a better understanding of their mechanical and chemical properties, manufacturing processes and service behaviour. 0965-0393/05/060935+45$30.00 © 2005 IOP Publishing Ltd Printed in the UK 935

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INSTITUTE OF PHYSICS PUBLISHING MODELLING AND SIMULATION IN MATERIALS SCIENCE AND ENGINEERING

Modelling Simul. Mater. Sci. Eng. 13 (2005) 935–979 doi:10.1088/0965-0393/13/6/011

Coatings and surface modification technologies:a finite element bibliography (1995–2005)

Jaroslav Mackerle

Department of Mechanical Engineering, Linkoping Institute of Technology,SE-581 83 Linkoping, Sweden

Received 15 June 2005Published 4 August 2005Online at stacks.iop.org/MSMSE/13/935

AbstractThis paper gives a bibliographical review of the finite element methods appliedto the analysis and simulation of coatings, their mechanical and materialproperties from the theoretical and application points of view. The surfacemodification technologies in the context of coatings are also included. Theadded bibliography at the end of this paper contains 1032 references to papersand conference proceedings on the subject that were published in 1995–2005. The following topics are included: coating property simulations; surfacemodification process simulations and practical coating applications.

1. Introduction

The output of scientific papers in general is fast growing, and professionals are no longerable to be fully up-to-date with all the relevant information. The increasing specializationin various engineering fields has resulted in the proliferation of subject-oriented journals andconference proceedings directed to specialist audiences. The researchers have more channelsat their disposal for communicating the results of their research, but, on the other hand, tofind necessary information may be a time-consuming and difficult process. Another questionis whether researchers/scientists are willing to spend time looking for information instead ofdoing their own research. It has been pointed out that in engineering, informal knowledgechannels are the most frequently used means of obtaining information.

In the last almost four decades the finite element method (FEM) has become the prevalenttechnique used for analysing physical phenomena in the field of structural, solid and fluidmechanics as well as for the solution of field problems. The FEM is a useful tool because onecan use it to find out facts or study the process in a way that no other tool can accomplish.

Available surface engineering systems (single, duplex or multi-layered) combatcomponent degradations of various types and meet requirements of new developed systemsworking under severe conditions, stressing and environmental. The finite element methodassists in a better understanding of their mechanical and chemical properties, manufacturingprocesses and service behaviour.

0965-0393/05/060935+45$30.00 © 2005 IOP Publishing Ltd Printed in the UK 935

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This bibliography provides a list of references on finite element modelling and simulationsof coatings and surface modification technologies. General solution techniques as well asproblem-specific applications are included. The emphasis is to present papers first publishedin journals. These type of papers are relatively easy to obtain.

The entries in this bibliography have been retrieved from the author’s database and aregrouped into the following sections.

• Coating property simulations

◦ Material and mechanical properties◦ Hardness and indentation◦ Residual stresses◦ Fracture mechanics and fatigue

• Surface modification process simulations

◦ Surface modification process simulation in general◦ Welded coatings and cladding◦ Sprayed coatings◦ Physical and chemical vapour deposition◦ Electrochemical and chemical deposition◦ Other techniques

• Practical coating applications

◦ Electronics and electrical engineering◦ Biomechanics◦ Material processing and machining◦ Turbines◦ Other applications

The bibliography is organized in two main parts. In the first one each topic is handledand current trends in modelling techniques are mentioned, usually as the keywords. Thesecond part, the appendix, contains a list of papers published in open literature in theperiod 1995–2005 (first three months of 2005) on subjects listed above. References havebeen retrieved from the author’s database, MAKEBASE [1]. Also the COMPENDEXand INSPEC databases have been checked. Readers interested in the finite elementliterature in general are referred to the author’s Internet Finite Element Books Bibliography(http://www.solid.ikp.liu.se/fe/index.html) where approximately 500 book titles are listed andcompleted with bibliographical data, abstracts and their contents.

This bibliography contains the following parts: coating property simulations, where theemphasis is on material and mechanical properties of coatings including analyses of contactand fracture mechanics problems, surface modification process simulations, where FEMs areapplied to simulate thick and thin coating processes, and finally practical coating applicationsin various fields of engineering.

2. Coating property simulations

The surface engineering system includes the surface, subsurface, interface and substrate.Together these items affect, under operating conditions, the performance of the whole system.To simulate the specific system numerically is quite a difficult problem because the mechanicaland chemical properties are complex functions of environment, surface roughness, structureand structural gradient, preferred orientation, etc. There are many experimental techniquesused to determine the coating properties. Results of these are applied in finite element

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simulations to help in the further development of new systems or to determine the behaviourof the system under changed operating conditions.

To name some experimental techniques: the nanoindentation is used to measuremechanical properties of thin coatings; the scratch techniques determine the adhesion strengthand load bearing capacity; the interfacial fatigue testing measures the cyclic bonding strengthof the coating under dynamic loads, etc.

The reason for coating the original material is to improve wear and/or corrosion, electricalproperties or for the reclamation of lost material. Wear of materials occurs during the interactionof two surfaces or during the interaction of an exposed surface to chemicals, heat, fluids orabrasive particles. The surface system covers a wide range of coating thicknesses from severalcentimetres to a few microns depending on the surface modification techniques used. Weare talking about thick or thin coatings with the following differences: in thick coatings theproperties of original material/substrate are irrelevant, the coating is self-supporting. In thecase of thin coating the properties of the substrate are important, dictating conditions such asload or environment.

High-temperature alloys/superalloys have originally been developed for gas turbines. Athigh temperatures the surface oxidation can lead to oxide layer formation where hardness andstability play an important role in thermal wear. Wear is strongly dependent on the shear stressor the shear yield stress of specific material. The performance of high-temperature structuralmaterials can be enhanced by coating, for example, by applying a thermal spray coating ofalumina, MCrAlY or with thermal barrier coatings. A commonly used thermal barrier coatingmaterial is stabilized zirconia (with Y, Mg, Ca, Ce as the stabilizers). Finite element analysesof these coatings are also included in this section.

Using the impact tests and finite element simulation algorithms, the time-dependent stress–strain laws for thermal barrier coatings can be determined. The creep phenomenon occurs if thecoating is periodically loaded over a critical stress value through impact. The operational max-imum equivalent stress has to be lower than the corresponding critical stress value determined.

Functionally graded materials are also used in high-temperature applications. Mostof them are particle-reinforced composites that distribute particles in the matrix, and theircompositions depend on position. The functionally graded materials are sandwiched betweensubstrate- and/or coating-layers. The layers can be divided into the following regions: metal-rich region, ceramic-rich region and the metal/ceramic perfect mixture region. The effects ofvarious parameters of these layers on the behaviour of the whole structure can be studied byfinite element methods.

This section contains subsections as follows: material and mechanical properties; hardnessand indentation; residual stresses and fracture mechanics and fatigue.

Material and mechanical properties

Topics included: finite element macromechanic, mesomechanic and micromechanic analysisof material and mechanical properties of thick and thin coatings; nanomechanical response;linear and nonlinear deformation and stress analysis; analysis of thermal stresses; yieldbehaviour; cohesion, adhesion and creep properties; tribological characterization; oxidationbehaviour; corrosion behaviour; damping performance; contact stresses; coating undersliding and oscillating sliding contact; rolling contact problems; wear mechanism; microwearmechanism of coating; thermal shock properties; thermal expansion; phase transformation;displacement and cyclic instabilities in thermal barrier systems; buckling instability; vibro-acoustic behaviour; effect of coating geometry on contact stresses; effects of porosity; strainanalysis and measurement and coating testing.

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Type of coating: layered and multilayered coatings; thermal barrier coatings; functionallygraded materials; discrete and blended coated solids; porous squeeze films; compositecoatings; polymer coatings; rubber coatings; coated fibre polymer composites; metal coatedfibres; coated optical fibres; ceramic coatings; organic coatings; galvanized coatings; hardcarbon coatings; carbon–carbon composites; aluminium and copper films; silver coatings;diamond coatings; zirconia, silicon oxide, aluminium oxide, nickel oxide, zinc coatings;elastomer coated fabrics and titanium based composites.

Owing to limited space in this paper, finite element analyses of piezoelectric/piezoceramiccoatings are not included. Readers interested in this subject are referred to [2, 3].

Hardness and indentation

The mechanical properties of thin films deposited on structural alloys play a critical role indetermining their durability. These films enhance the abrasion or/and corrosion resistanceof the component. By means of ultra-microhardness or nanoindentation measurementssome relevant properties of films can be determined. The nanoindentation measurementscontinuously register the course of the applied force versus the occurring penetration depth.The finite element modelling applied gives quantitative strain information used to estimatethe fracture toughness of the film, the friction coefficient on the surface and the constitutivebehaviour of the substrate. Wear on films can be studied by simulating tangential and/ornormal forces on an indenter that penetrates into the coating. Ultra thin films are used formicromechanical applications, and their mechanical properties are of interest.

Readers interested in indentation measurements and finite element analysis of indentationproblems in general are referred to [4, 5].

Topics of this subsection are: finite element simulations of microindentation andnanoindentation process; depth-sensing indentation; indentation creep testing; indentationunloading; stress–strain curve determination; determination of mechanical properties; internalstress; determination of elastoplastic or viscoplastic properties; hardness determination;measurement of residual stresses; micromechanical properties; anisotropic mechanicalproperties; indentation-induced cracking; indentation delamination; interface toughnessmeasurement; adhesion toughness; indentation and phase transformation; effect of substrateproperties; intrinsic film properties; yield strength measurement; size effect on indentation;interface influence on hardness measurement; indentation impression—conical, spherical,cylindrical and wedge and Berkovich nanoindentation.

Type of coating: thick and thin; brittle and ductile; soft films on hard substrate; hardcoating on soft substrate; thin hard coatings; thin metallic films; ceramic coatings; polymercoatings; thermal barrier coatings; sol–gel derived films; PVD films; CVD diamond coatings;metal–ceramic thin films; nanocomposite coatings; amorphous–tetrahedral carbon films; TiNsubmicron films; submicron silica films; silicon nitride films; gold films; nickel–aluminiumcoatings; nanocrystalline silver and nickel composites; aluminium coatings on borosilicateglass; porcelain–metal bilayers and multilayered hard carbon films.

Residual stresses

The mechanical properties in coatings such as hardness, adhesion, fracture strain, etc areinfluenced by the presence of residual stresses. Residual stress can be the cause of poor substrateadhesion and can also contribute to the failure of the coating. The growth of these stressesis influenced by the expansion mismatch between the coating and the substrate exposed to atemperature gradient and growth stresses from phase transformations. Finite element studies

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can help to understand the effect of coupling between the temperature and stress/strain fieldsand the phase transformation, and the evolution of residual stress within coatings can be studied.

The finite element techniques can also be used to study the effect of the coating on thermalresidual stresses generated in composites at the fibre/matrix interface due to differences in thethermal expansion coefficient between the various materials of the system. These residualstresses influence fracture mechanics properties of the specific composite.

Subjects under consideration: finite element modelling of residual stresses in varioussurface modification techniques; micromechanical and macromechanical approaches; transientresidual stresses; residual stress evolution; modelling oxidation induced stresses; effect ofresidual stresses on strength; effect of deposition temperature and thermal cycling; effect ofporosity; effect of surface roughness; effect of substrate thermal expansion coefficient; effectof residual stress on thickness and interlayer of coating and determination/measurements ofresidual stresses.

Residual stresses in: hard coatings; metallic and dielectric coatings; ceramic coatings;composite films; titanium nitride coatings; diamond coatings; zirconia coatings; PVD films;borided layers on steel; functionally graded coatings and thermal barrier coatings.

Fracture mechanics and fatigue

Most published papers listed in the appendix deal with finite element analysis of fracturemechanics and fatigue problems.

Coating systems are usually stressed under cyclic loadings with the result that the coatingmaterial sometime debonds from the substrate due to tangential and normal forces acting onthe surface. Between the coating and substrate, cracks start to form and propagate. Alsonew cracks are formed faster than in a monolithic material. The behaviour of interface cracksbetween coating/substrate has been studied by finite element techniques.

The adhesion strength between coating and substrate is an important factor to evaluate thereliability as well as performance of the specific coating system. Many experimental methodsare available for its evaluation (i.e. scratching and indentation tests) but also finite elementstudies are known and listed in the appendix.

Thin hard coatings (i.e. diamond-like carbon, titanium nitride/carbonitride) improvethe tribological properties of sliding surfaces of machine components by reducing frictioncoefficients and wear rates, often without changing the substrate material or needing thelubricants. The main problem in their applications is the fracture of the coating, delaminationand spalling at the interface of the coating and the substrate. The finite element method canbe used to study the contact stresses due to normal and tangential forces and to investigatethe stresses for various values of parameters such as the coating thickness, friction coefficient,Young’s modulus ratio for coating and substrate, etc. It is important to identify the origin ofthese stresses and to minimize them.

The lifetime of thermal barrier coatings is limited by delamination that can continue to thespalling fracture. The crack propagation perpendicular and parallel to the heated surface is thecrucial factor. The finite element technique makes it possible to study the way delaminationand spalling fracture could be limited/suppressed by means of material properties gradientswithout reducing the barrier effect.

Oxidation of the ceramic top coating of a thermal barrier coating is an important factor thataffects the durability during the operation. This oxidation facilitates coating failures but themechanism is still poorly understood. Other influencing factors are bond coating coefficientof thermal expansion, creep behaviour of layers, bond coat roughness, etc. Some papers arelisted in the appendix where the FEM is applied to characterize the effects of the oxidation

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process on the stresses within the whole system and to examine the interaction of oxidationwith the other parameters that affect the lifetime of the thermal barrier system.

Metal and ceramic are used to form functionally graded materials, where ceramic supportsthermal barrier effects and provides protection for the metal from oxidation and corrosion, andmetal is the strengthened material part. The mismatch of material properties of this compositesystem may cause the crack that originates from the coating surface and expands perpendicularto the interface following penetration into the substrate. The knowledge of the failure and itsmechanism is very important to determine the safety of the designed structure. Relevant finiteelement studies have been published and are listed in this paper.

Surface coatings increase the surface hardness of the component and provide a betterwear resistance. Another important factor for the service life is the fatigue behaviour ofthe substrate that may be affected by changes in the residual stress and microhardness. Finiteelement models and experimental tests have been developed with the aim of giving the designera tool for predicting fatigue behaviour and lifetime of respective thin-coated component.

Topics of this subsection: two- and three-dimensional linear and nonlinear, staticand dynamic finite element studies of fracture mechanics problems; macromechanical,mesomechanical and micromechanical approaches; failure mechanics of coatings; crackingand multiple cracking; crack initiation; crack formation and growth; crack propagation;crack face friction effect; creep cracks; crack bridging; cracking patterns; single and doubledeflection of cracks; short crack behaviour; edge cracking; microcracks; crack generation andfracture toughness; bond strength; interfacial shear strength; mechanical strength and wearbehaviour; adhesion toughness; delamination strength; delamination cracking; residual stress-driven delamination; fracturing during cooling; energy release rate for decohesion; thermalfracture of interfaces; buckling driven delamination; contact induced cracking; mechanics ofdelamination; mechanics of damage initiation and growth; contact damage; microdamage;thermal cycle damage; dynamic damage; multidamage evaluation; fracture mechanics underindentation; coating abrasion; fracture intensity factor; fracture mode transition; biaxialfragmentation; debonding of graded coatings; fatigue behaviour of coating; fatigue crackgrowth; thermal fatigue; fretting fatigue; lifetime estimation and detection of defects.

Types of coatings under consideration: thin and thick coatings; thin hard coatings; brittlecoatings; multilayered coatings; organic coatings; porous coatings; carbon steel coatings;stainless steel coatings; ceramic coatings; cermets; ceramic–matrix composites; polymermatrix composites; coated fibre composites; silicone carbide coatings; TiN coatings; WC films;WC-Co coatings; diamond coatings; ceramic functional coatings; porous alumina; glass thinfilms; galvalume coatings; PVD and CVD coatings; porcelain/metal and porcelain/polymerbilayers; fluoric resin coatings; nanocomposite coatings; functionally graded materials andthermal barrier coatings.

3. Surface modification process simulations

Finite element process simulations provide important information and data concerningstructural changes as a result of a specific process and help to control the own process forspecified implementations. These simulations can also give information about the suitabilityof the process for a specific design of the component. To simulate the process correctly theunderstanding of various physical, chemical and metallurgical reactions is supposed.

In this section the finite element method has been applied to simulate the following coatingtechniques: surface modification process simulation in general; welded coatings and cladding;sprayed coatings; physical and chemical vapour deposition; electrochemical and chemicaldeposition and other techniques.

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In welding surfacing a material (metal, alloy, cermet) is fused to the substrate or discreteareas of the substrate using filled electrodes or powders. In cladding the coating material ispre-formed and then bonded to the substrate. The coatings represent the upper limit of coatingthicknesses.

In spraying techniques powders or wires (metal, ceramic, cermet) are heated into a semi-molten state and deposited at high speeds on the substrate surface. Obtained thicknesses arein the range 0.05–1.0 mm. The most frequently used spraying techniques are: flame spraying,electric arc spraying, plasma spraying and high velocity spraying.

The vapour deposition techniques can roughly be divided into physical vapour depositionand chemical vapour deposition. With use of these techniques the coating thickness is in therange of a few microns. The process consists of the evaporation and subsequent deposition ofa coating material from its vapour phase onto the substrate. When the carried medium of thecoating material is high intensity electron or ion beam, or electrical heating, the process is calledphysical vapour deposition (PVD). In PVD the evaporative source can also be replaced by asputtering action; i.e. vaporizing the target material by ion bombardment from the plasma glowdischarge. The chemical vapour deposition (CVD) covers a range of compound and metalliccoatings produced by high-temperature gas-phase reactions. Ceramic coatings applied incutting/forming operations, chromizing, aluminizing or siliconizing are frequently used CVDtechniques.

The electrochemical (electroplating) deposition is basically the process of depositing ametal in an electrolytic cell. Electroplated coatings of chromium, nickel, cobalt, copper, zincand cadmium are commonly used for wear and corrosion protection or for specialist electricalproperties. These metals can readily be deposited from aqueous solutions. In the chemicaldeposition process the component is immersed into a reactive solution from which the coatingmaterial deposits onto the surface. Some specific processes are phosphating, electroless nickelcoatings, chromium oxide-based coatings, etc.

In the last subsection the processes such as for multicomponent coatings or sol–gel areincluded. In the multicomponent coatings multiple layers of different coatings can be formedon the same surface by applying more than one deposition process. Sol–gel process consistsof the dissolution of a sol material and the deposition of a gel/colloidal compound on thesubstrate. The dried surface has a high level of fine porosity.

For a more detailed description of surface modification techniques see, for example [6,7].A comprehensive treatment of material and mechanical properties of coatings is also givenhere. Surfaces can also be modified without either changing their composition or addinga coating material. In this case the metallurgical condition is altered through a thermal ormechanical working process. For this type of process the references are not included in thisbibliography. Readers interested in finite element analysis and simulation of quenching andother heat treatment processes are referred to [8].

Papers dealing with finite element analyses and simulations of the above described surfacemodification processes are listed in the following subsections.

Surface modification process simulation in general

Topics: surface engineering design; thick and thin film material design; multiscaleatomistic-continuum modelling; modelling of coating–substrate systems; modelling of thinlayers; modelling of coating flows; modelling of functionally gradient thermal barriercoatings; diffusion through optical fibre coating; three-scale modelling of heterogeneousmedia; optimization of wear-resistant coatings; software descriptions; distributed parallelprocessing.

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Welded coatings and cladding

Topics: finite element simulations of cladding process; laser cladding; coaxial laser cladding;laser cladding by powder injection; electroslag cladding; explosive compaction/cladding;welded overlay cladding; spiral weld cladding; segmented cladding; hydrostatic extrusionof cladded tubes; rolling deformation of clad materials; continuous casting of cladded slabs;cold-formed steel cladding; cladding process in bimetallic rod extrusion; thermomechanicalmodelling; fracture mechanics in cladding; cladding effects on fracture toughness; effectof cladding on stress intensity factor; singular cladding stresses; cleavage fracture of claddedspecimens; contact fatigue resistance; void formation in cladding; residual stresses in cladding;constraint effects of clad; electrical and thermal effects; load carrying capacity; cladding underblast loading; thermal shock on cladded plates; transfer of impulsive loading; tailoring ofovercladding; irradiated cladding.

Cladding materials: steel cladding; stainless steel cladding; high strength steel cladding;clad sheet metal; plasterboard-cladding; hydrided cladding; Inconel-clad tungsten; zircaloycladding; Al/Cu clad composites; copper-clad aluminium; copper clad laminates; fibres;metal-clad optical fibres; concrete cladding; layered cladding.

Sprayed coatings

Topics: finite element analysis of spraying processes; micromechanical and macromechanicalapproaches; plasma sprayed coatings; thick plasma sprayed coatings; plasma thermalspraying; air plasma spraying; low pressure plasma spraying; cold gas spraying; twin wirearc spraying; thermal sprayed coatings by laser irradiation; thermal stresses; phase changemodelling; microstructural characterization; interlayer effect on residual stresses; residualstresses; creep behaviour and relaxation; oxidation-induced degradation; porosity effects;effect of coating thickness; effect of substrate surface roughness.

Type of coating: aluminium; zirconia; lead coatings; ceramic coatings; layer composites;functionally graded coatings; thermal barrier coatings; MgO–ZrO2 coating; NiCoCrAlYcoating; Cu-8Cr-4Nb coating; 80Ni20Cr coating; NiCrAlY coating; Y/20/3-PSZ coating.

Physical and chemical vapour deposition

Topics: finite element simulation of PVD and CVD processes; micromechanical andmacromechanical approaches; electron beam PVD; laser CVD; metal organic CVD; ionassisted deposition; ion beam assisted filtered cathodic vacuum arc deposition; CVD fibrecoating; laser evaporative heating; solvent evaporation; evaporative material removal; selectivearea laser deposition; low energy deposition; CVD reactors; sputtering; thermal stresses;residual stresses; evolution of interfaces; intrinsic stress variations; morphology problems.

Type of coating: carbon on graphite; Al(O) alloys; silicon carbide; carbon nitride thin films;tin films onto a tungsten carbide surface; glass substrates with tin oxide; silica on polycarbonateand steel; diamond films; polycrystalline diamond; ceramic coatings; boron doping silicon;fibres; metal/ceramic multilayered composites; thermal barrier coatings; gradient thermalbarrier coatings; titanium evaporation.

Electrochemical and chemical deposition

Topics: finite element simulations of electrochemical and chemical deposition processes;electroless coating process; electrodeposition; fused deposition; phosphating; thermochemical

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treatment combined with coating; metal electrochemistry and coating characterization; flowmodelling.

Type of coating: zinc phosphate; nickel on silicon; nickel thin films; copper thin films;fibres.

Other techniques

Topics: direct gravure coating; coating process between two rolls; tribo-charge powder coating;die coating; co-injection moulding; laser sintering of polymer-coated metal powder; deepdrawing of coated steels; stretch forming of coated steels; in-mould coating; coatable spliceprocess; blade coating; wire coating; cable coating; forward roll coating; sol–gel process; coldforging TiN coated tool steels; consolidation of metal matrix coated fibre composites; wallironing process; slot coating; spin coating; web roll coating process; reverse roller coating;coatings with laser melt injection of particles; press forming; simulation of coating flows;drying in coatings; decoating process.

4. Practical coating applications

This section deals with finite element analysis of specific industrial structures or componentsas well as coating applications in other fields of engineering. References in the appendixare listed under the following headings: electronics and electrical engineering; biomechanics;material processing and machining; turbines; and other applications.

Electronics and electrical engineering

Coatings applied to: nanoelectronic devices; chip-on-board packages; VLSI systems; FBGsensors; multichip modules; capacitive microintegrated gas sensors; casings of fragileelectronic equipment; composite bushings; silicon-on-insulator waveguides; surface-mountedPM SM; radar cross-section of coated cylinders; stainless-to-Kovar packages; silane coatedmicrocantilevers; wafers with film coating; electrodes; flip-chip packages; membranes; soldercolumns; protective thin layers on devices; thin film transistors; temperature sensors; micro-drop coated gas sensors; metal-coated Si springs; metal-coated fibre Bragg gratings.

Biomechanics

Most papers where the finite element method has been applied to biomechanical problems dealwith coatings on metal implants that are widely used in orthopaedic and dental applications.The quantitative understanding of coating deformation enables to elucidate the mechanicalstability of these implants in clinical applications. Consequently, the coating process can beimproved to achieve better in vivo life span for coated implants. Another problem is the coatingfailure as a result of shear loading. Also here the finite element method helps to study shearstrength and fatigue of coating/implant systems.

Coatings applied to: total hip femoral stems; porous coated implants; intramedullaryimplants; cancellous bone-porous coated metal interface; coated hip endoprosthesis; fullycoated beaded implants; coated dental/oral implants; effect of porous coating on stressshielding; effect of coating placement; bioglass-coated alumina interbody grafts; adhesionof bioactive glass coatings; drug release through deformed coating film.

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Material processing and machining

Coatings applied to: dies used in material processing; coatings for glass-moulding dies;coated carbide cutting tools; PM coated tools; coated tools for dry machining; coated inserts;multilayered coated tools; multicoated forming and cutting tools; coating on HSS substratein milling; milling performance of cemented carbides inserts; high speed machine toolspindles; coated hardmetal tools for turning; cutting performance of coated tools at elevatedtemperatures; effects of geometry and coating; improving tool performance; polymer films inmanufacturing; wear resistant two-phase coatings.

Turbines

Thermal barrier coating deposited onto turbine alloys has two major benefits: the cooling airrequirements can be reduced, and the hot gas temperature can be raised. Roughly speaking itmeans that turbines can be operated at higher temperatures while maintaining an acceptabletemperature range within the substrate.

Main topics include: coatings for gas turbine blades; blade coating with free jet applicator;oxidation-limited component lifetime in turbines; ceramic matrix composite vane sub-element;effect of coating thickness; heat transfer analysis; fatigue mechanisms.

Other applications

The following topics are included: coating applications in pressure vessels and piping; coatingapplications in automotive industry; coating applications in reactor technology; aerospaceapplications; coated fins; pipelines with thick insulation coating; gas pipelines with imperfectcoating; tubes with composite coating; pipes with cladding; concrete cladding panels; pipelineswith concrete coating; imperfect insulator coatings; automotive paint systems; coated pistons;ball bearing coatings; pellet-clad thermomechanical interaction; fuel cladding; ship ballasttanks; risers with neoprene coating; optical membrane mirrors.

Acknowledgment

The bibliography presented in the appendix is by no means complete but it gives acomprehensive representation of different finite element applications on the subjects. Theauthor wishes to apologize for the unintentional exclusions of missing references and wouldappreciate receiving comments and pointers to other relevant literature for a future update.

Appendix. A bibliography (1995–2005)

This bibliography provides a list of literature references on finite element analyses andsimulations of coatings and surface modification technologies. The listing presented containspapers published in scientific journals, conference proceedings, and theses/dissertationsretrospectively to 1995. References have been retrieved from the author’s database,MAKEBASE. Entries are grouped into the same sections described in the first part of thispaper and sorted alphabetically according to the first author’s name. In some cases, if aspecific paper is relevant to several subject categories, the same reference can be listed underthe respective section headings, but the interested reader is expected to consider also areasclose to his/her central area of research interest.

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Coating property simulations

Material and mechanical properties

Ager J et al 1996 Growth and mechanical and tribological characterization of multi-layer hard carbon films Mater.Res. Soc. Symp. Proc. 438 581–5

Akisanya A R et al 2001 The deformation and densification of an array of metal-coated fibres Acta Mater. 49 221–35Akisanya A R et al 2001 The yield behaviour of an array of metal-coated fibres Eur. J. Mech. A—Solids 20 77–90Anderson I A and Collins I F 1995 Plane strain stress distributions in discrete and blended coated solids under normal

and sliding contact Wear 185 23–33Asif S A et al 1995 Nanomechanical response of materials and thin film systems: finite element simulation Stress

Mech. Prop. Mater. V 356 (MRS) 677–86Baker M and Rosler J 2003 How creep properties influence the stress state of thermal barrier coatings Mater. Sci.

Forum 426–432 2527–32Balke H et al 1995 Zum mechanischen Stabilitatsverhalten von Zwillingskorngrenzen in dunnen Schichten ZAMM

75 S141–2Bennani H H and Takadoum J 1999 Finite element model of elastic stresses in thin coatings submitted to applied

forces Surf. Coat. Technol. 111 80–5Beygelzimer Y E and Spuskanyuk A V 1999 The thick yield surface: idea and approach for investigating its structure

Phil. Mag. A 79 2437–59Boggs S et al 2002 Effect of silver coating thickness on high current contact stability Int. Symp. Electr. Insul. (Boston)

(Piscataway, NJ: IEEE) pp 444–8Bouzakis K D et al 2001 Characterization of cohesion, adhesion and creep properties of dynamically loaded coatings

through the impact tester Z. Metallk. 92 1180–5Bouzakis K D et al 2004 The inclined impact test, an efficient method to characterize coatings’ cohesion and adhesion

properties Thin Solid Films 469–470 254–62Brand J et al 2002 Diamond-like carbon coatings—a new design element for tribological applications Indust. Lubric.

Tribol. 54 291–5Bruck H A and Surendranath H 2001 Minimization of stress at metal–ceramic interfaces using functionally graded

materials ASME Int. Mech. Eng. Congr. Expo. MD 95 (ASME) pp 9–15Buravalla V et al 2001 Enhancement and evaluation of damping performance in layered CLD type coatings Proc.

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