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آزمون ضخامت سنجی در آبکاری

  • آزمون ضخامت سنجی - English

    troubleshooting, testing, & analysis

    THICKNESS TESTING

    BY NORBERT SAJDERA

    KOCOUR CO., CHICAGO; WWW.KOCOUR.NET

    Coatings are applied to base materials to provide properties not inherent in thebase. These include, but are not limited to, corrosion protection, wear resistance,conductivity, color, reflectivity, and solderability.The amount of coating applied is critical to the final product’s utility andcost. The determination of the amount of coating is, therefore, important inappraising its utility and assessing its cost.Thickness is the most commonly used word to describe the amount ofcoating. A few of the methods used measure the linear depth of the coatingdirectly. These include the micrometer, with variations using styluses attachedto sensitive mechanical and electronic amplifiers, and the microscope, withvarious methods to expose the coating layers for measurement.More commonly, gauges estimating the weight per measured area are used. Thethickness is then calculated using the following equation:

    T = m 10/A d, (1)

    where T = thickness (μm), m = mass of coating (mg), A = area tested (cm2),and d = density (g/cm3).The instruments using the weight per unit area as the basis for their measurementsare beta backscatter, coulometric, and X-ray.The magnetic and eddy-current methods compare the magnetic and electricalproperties of the base and coating materials to calibrated standards withsimilar properties. The drop test is based on the rate of attack of certain chemicalsolutions. With such a diversity of methods, it is useful to use the summaryin Table I to help choose a measuring system for a particular requirement. Thegravimetric, microscopic, and X-ray are not included in Table I, because theyapply to almost all of the coating combinations listed. A convenient conversiontable for different systems of units is given in Table II.

    BETA BACKSCATTER

    If a stream of beta particles is directed at matter, it will collide with the atoms inthe matter. This results in a reduction of speed and a change in direction of theparticles. Those particles that leave the matter through the same surface fromwhich they entered are said to be backscattered. The number of particles backscatteredis proportional to the number of atoms per unit area and, therefore,to the atomic weight. The penetration depth of the beta rays is dependent onthe energy level of the radioisotope used as their source.The backscatter can be measured with a Geiger-Müller counter placed in itspath. In a measuring system, a radioisotope is placed between the Geiger-Müllercounter and the coating to be measured. A stream of particles is directed fromthe isotope through an aperture and then to the coating. The backscatter radiatesback through this stream, passes the radioisotope, and then is measuredwith the Geiger-Müller counter.The isotope is chosen on the basis of its maximum energy and half-life. As the thickness of the deposit increases, the energy needed to penetrate the depositis increased. Metals with larger atomic numbers require higher energies for thesame thickness.As particles are emitted by the source, the number of active particles remainingis reduced. The half-life of an isotope is the time necessary to reduce theactivity of the source by one half. As the activity decreases, the instrumentrequires recalibration for the new activity level.Accurate placement of the part is essential for precise measurement. Anaperture is provided to control the area exposed to the beta rays. The apertureis mounted in a probe together with the source to control the distance of thesource to the sample.The Geiger-Müller tube is part of a counting system that records the backscatterand then computes the thickness. A full line of accessories to storedata and provide statistical information is available. Many systems providecomputer prompting for both measuring and calibration procedures.The beta backscatter method applies to coatings and substrates whose atomicnumbers differ by at least 5. ASTM Standard Method B 567 details the considerationnecessary for accurate measurement with this method.

    COULOMETRIC METHOD

    The coulometric method is based on Faraday’s law. The law states that onegram-equivalent weight of metal will be stripped or deposited for every 96,500coulombs (ampere-seconds) of electricity passed through the electrolyte. Thislaw is so basic that it has been used to define the international ampere.The international ampere is defined as the unvarying electric current that, whenpassed through a solution of silver nitrate, will remove 0.000118 gram of silver persecond from the anode. This figure (0.000118 gram of silver per second) is calledthe electrochemical equivalent of silver.The following equation defines the weight of metal deposited according toFaraday’s law:

    M = eit,(2)

    where M = mass (g), e = electrochemical equivalent (g/ A-sec), i = current(A), and t = time (sec). To apply the coulometric method tothickness testing, four parameters must be controlled, namely, area, amperage, time, and anodeefficiency. At 100% anode efficiency, by substituting the mass obtained fromFaraday’s law into the thickness formula, the thickness becomes

    T = eit 10/A d.(3)

    The area to be measured is determined by a flexible rubber gasket. This areacan range from 0.13 to 0.32 cm in diameter. The gasket is an integral part ofthe deplating cell, that holds the solution during the test. The gasket must beflexible so that it will prevent leakage of the solution, yet sufficiently rigid forprecise maintenance of the area.A constant pressure device is included to aid incontrolling the gasket pressure. Since this measurement yields weight per area,accurate control of this diameter is essential.On most instruments, the current source and timer are included in a currentsupply package. This package provides a means for producing a specific constantamperage for each coating to be tested.When the coating is penetrated, there is a voltage change. The rate of changeof this voltage is monitored and used to terminate the test. An electronic timeris used to record the time elapsed. A computer processes the time and amperage,then displays the thickness. Also included in the package are electronic controlsto modify the current and termination sensitivity. These controls are providedto compensate for minute changes in anode efficiency and area.It is necessary to use a specific electrolyte for each combination of coatingand substrate. The electrolyte must satisfy three conditions:

    1. The solution must not chemically attack the coating.

    2. Anodic dissolution of the coating should be at constant efficiency, ideally 100%.

    3. The voltage change on penetration of the coating should be significant.This method is capable of consistently measuring the thickness of a variety ofmetallic coatings to ±10% of their true value. For certain coating and substratecombinations, the accuracy can be higher. The most accurate measurements are inthe range of 40 to 2,000 microinches; however, chromium can be measured in thicknessesas low as 3 microinches. The accuracy of measurement in a specific thicknessrange may be increased by calibrating the instrument with standards in that range.Coatings on wire are measured by means of an auxiliary cell. Tests are performedon sample lengths from 0.5 to 4.0 in. in length.One advantage of this method is the ability to measure combination coatingssuch as copper/nickel/chromium and copper/tin. The instrument manufacturer’sinstructions should be followed precisely for accurate results. Additionalguidelines for achieving accurate measurements are contained in the followingASTM methods:

    1. ASTM B 504, standard method for coulometric thickness.

    2. ASTM B 298, for silver coatings on copper wire.

    3. ASTM B 355, for nickel coatings on copper wire.

    The coulometric instrument has found application in measuring other qualitiesof metallic coatings. ASTM B 764 describes a procedure for simultaneousthickness and electrochemical potential (STEP) determination for the layers ofmultilayer nickel deposit.

    DROP TESTS

    The drop test for measuring plating thickness is based on the rate of attackof specially prepared corrosive solutions on a metal coating. For consistentresults, the drop size, drop rate, temperature, time, and solution compositionmust be controlled.The test is performed by allowing the solution to drop on a particular spotat a rate of 100 drops per minute. The operator then observes the time at whichthe coating is penetrated. For the most common thicknesses, the elapsed timeis less than one minute.Reproducibility of the test is dependent on the skill of the operator. Theoperator must detect the point at which the base metal is exposed and recordthe time. An experienced operator can reproduce his readings within ±5%. Forbest accuracy, the operator should standardize his technique with a standardof known thickness.The accuracy of the system is generally considered to be ±15%, because theoperator cannot control some of the factors that affect the test. These factorsinclude drainage of the solution, alloying at the coating/substrate interface, andcomposition of the coating.Low cost and the ability to measure thickness quickly on irregular shapes arethe chief advantages of the drop test. The greatest disadvantages are destructionof the coating and objections to the use of corrosive solutions in some areas. Thelargest application is in the fastener industry.Standard guidelines for the use of this test are contained in ASTM B 555 Some typical procedures are provided below.

    Reagents

    1. Cadmium deposits:Ammonium nitrate, 110 g/LHydrochloric acid, 10 ml/L

    2. Zinc deposits:Ammonium nitrate, 100 g/LNitric acid, 55 ml/L

    3. Zinc and cadmium deposits:Chromic acid, 200 g/LSulfuric acid, 50 g/L

    4. Tin deposits:Trichloroacetic acid, 100 g/L

    5. Copper deposits:Ferric chloride (FeCl3

    .6H2O), 450 g/LAntimony trioxide, 20 g/LHydrochloric acid, 200 ml/LAcetic acid (CP, glacial), 250 ml/L

    Operating Conditions

    Drop rate:90 to 110 drops per minute (100 preferred).Temperature:20 to 30OC (70 to 90OF).Penetration rate:For zinc and cadmium (using separate reagents listed above),each second = 0.00001 in. For copper deposits, two seconds = 0.00001 in. Figure

    1 shows the penetration factor as a function of temperature for testing zinc andcadmium deposits with the chromic acid/sulfuric acid reagent.Lacquer or other films are removed from the area to be tested, which is thencleaned with a suspension of magnesium oxide in water. The specimen is heldat an angle of 45Obelow the dropping tip. To ensure that the reagent impingeson the same spot throughout the test, it is preferable to clamp the specimen inplace rather than to hold it by hand.The apparatus may consist of a separatory or dropping funnel, which is fittedwith a short length of tubing terminating in a drawn-out tip. Special funnels areavailable with two stopcocks. One of these is fully opened and the other used toset the desired drop rate. An automatic drop-test apparatus is available in whichthe drop rate is automatically maintained at 100 drops per minute by means ofa synchronous motor-driven mechanism.

    EDDY CURRENT

    Eddy current thickness gauges are electromagnetic instruments designed tomeasure the apparent change in impedance of the coil that induces the eddycurrent into the base metal. They are calibrated by comparing the apparentchange in impedance to known thickness of coatings on selected base materials.It is the difference between the conductivity of the base material and thecoating that influences the change in impedance; therefore, the instrument hasits greatest accuracy when testing nonconductive coatings on conductive basematerials and vice versa. The test can be applied to poor electrical conductorsover good electrical conductors with some loss in accuracy.The thickness test is performed with the aid of a specially designed probe.Measurements are made by holding the probe perpendicular to the surface andwith the probe point in contact with the area to be measured. The measurementsare rapid and nondestructive; therefore, some problems with accuracymay be resolved by statistical evaluation of many readings. Thickness gaugesare available with digital display, memory, hard-copy printout, and computerprompting of the calibration procedure.In the range of 5 to 50μm, the thickness can be determined to within 10%or 1μm, whichever is greater, of the true thickness. This test is sensitive tomarked differences in the surface contour of the test specimen. Particularattention should be paid to the distance from an edge, surface roughness, andcurvature at a test point.Erroneous results may be avoided by calibrating with standards that approximatethe surface condition and curvature of the specimen to be tested. Thetype of electroplating solution used can influence the electrical conductivityof the deposit and, therefore, the thickness measured.Zinc plated in cyanide, chloride, or alkaline baths is the most prominentexample of this problem. Calibrating the instrument with standards from thesame or similar solutions can greatly reduce error.Eddy current thickness testing is widely applied to anodic coatings onaluminum, nonmetallic coatings on nonmagnetic base metals, and to a lesserextent, to metallic coating/substrate combinations that have different electricalconductivities. The instrument manufacturers’ instructions should befollowed precisely for best results. A standard method for the application andperformance of this test is available in ASTM B 244.

    MAGNETIC METHOD

    The magnetic method uses the magnetic influence of the coating and substrateon a probe as the basis of a measuring system. Two types of probe systems arein common use. The first to be developed makes use of a mechanical system tomeasure the influence of the coating thickness on the attractive force betweena magnet and the base material.An electromagnetic probe was later developed that measures the influenceof the coating thickness on the reluctance of a magnetic flux path throughthe coating and base material.Three types of coatings can be measured with this system:

    1. Nonmagnetic coatings on ferromagnetic base metals.

    2. Nickel coatings on ferromagnetic base metals.

    3. Nickel coatings on nonmagnetic base materials.The test is performed with the aid of specially designed probes. With thepermanent magnet type, measurements are made by placing the probe perpendicularto the surface to be measured and observing the force necessaryto remove the probe.The electromagnetic-type probe requires placing the probe perpendicularto the surface to be measured and observing the reluctance measurement.The measurements are rapid and nondestructive; therefore, some problemswith accuracy may be resolved by the statistical evaluation of many readings.Commercial instruments are available with analog and/or digital thicknessdisplay, memory, hard copy printout, and computer prompting of calibrationprocedures.The effective thickness range is dependent on the choice of probe system(magnet or reluctance) and the coating/substrate combination. The rangesfor the magnet type are:

    1. Nonmagnetic coating on magnetic base, 5 to 25μm.

    2. Nickel coating on magnetic base, 5 to 50μm.

    3. Nickel coating on nonmagnetic base, 5 to 25μm.The ranges for the reluctance type are from 5μm to 1μm for all three coating/

    substrate combinations. Both types of instruments are sensitive to markeddifferences in the surface contour of the test specimen.Particular attention should be given to the distance from an edge, surfaceroughness, and curvature at the testing point. Erroneous results may beavoided by calibrating with standards that approximate the surface conditionand geometry of the specimen to be tested. When properly calibrated, themagnetic system can determine the actual thickness within 10%. The instrumentmanufacturer’s instructions should be carefully followed for the mostaccurate results. Two standard methods have been developed for additionalguidance to more reliable readings. They are ASTM B 499 and ASTM B 530.

    GRAVIMETRIC

    This method requires the measurement of the area to be tested and the determinationof the mass of the coating in that area. The area may be determinedby standard measuring techniques. The coating mass may be determined byone of the following procedures:

    1. Weigh coating directly after dissolving the base material withoutattacking the coating.

    2. Determine coating mass by analyzing the solution used to dissolve thecoating and all or a portion of the base material.

    3. Determine coating mass as the difference between the weight beforeand after dissolving the coating without attacking the base material.

    4. Determine coating mass as the difference between the weight beforeand after coating.Usually this method is assigned to a laboratory equipped to handle the corrosivesolutions and to measure the mass and area with sufficient accuracy.After the area and mass have been determined, the thickness may by determinedby using Equation (1).Procedures 1, 2, and 3 are destructive; procedure 4 is nondestructive. Thismethod has the capacity to yield extremely accurate results and is frequentlyused to determine the exact mass of metal used for cost purposes, particularlywith the more precious metals. This method (procedure 4) is used as a techniquefor making thickness standards.ASTM has developed procedures for several specific coatings. They areMethod A 90 for zinc, Method A 309 for terneplate, Method A 630 for tin plate,and Method B 137 for anodized aluminum. ASTM B 767 serves as a guidefor use of this procedure for a variety of plating and substrate combinations.

    MICROMETRIC

    A micrometer may be used to check the thickness of coatings over 0.001 in. Ifthe micrometer is equipped with a dial indicator, thicknesses of 0.0005 in. maybe measured on uniformly coated cylindrical parts. It is necessary to measurethe same spot before and after plating. Measurements may be obtained by maskingthe deposit and dissolving the unmasked coating, then measuring the stepproduced by this procedure.

    MICROSCOPIC

    The microscope can be used as a length measuring instrument when it isequipped with a filar eyepiece. The specimen must be carefully polished toprepare a smooth reflective surface and then etched to reveal the various metalsexposed. This generally requires the services of an experienced metallographer.The measurements are generally made on a transverse section of the depositso that the various layers of plating are exposed for viewing. Measurements arealso made on tapered sections to increase the length to be measured. The thicknessis then calculated by correcting the observed length for the taper angle.This method is destructive and time consuming. The thickness results have aprecision of ±2%; however, the accuracy has a constant uncertainty of about 0.8μm (30 microinches). Therefore, despite the precision of the method, it shouldnot be considered as a reference to resolve questions about thicknesses less than8μm (300 microinches).The filar eyepiece is calibrated by comparing the divisions on the filarmicrometer to the known distance between divisions on a stage micrometer.This method is a true measure of length and does not require a plated standardfor calibration.Due to the high cost of this technique, its use has been reserved for thoseoccasions that require more information than may be obtained from otherthickness-gauging methods. Information concerning porosity, surface roughness,grain structure, and adhesion may be gathered from the specimen preparedfor a thickness test.ASTM B 487 is a standard method outlining the conditions for accurateresults.The wavelength of light limits the resolution of the light microscope to about10 microinches. The scanning electron microscope utilizes the shorter wavelengthof electron waves to measure metallurgical specimens with a 4 microinchresolution. ASTM B 748 is the standard test method for this procedure.Attachments are available for the metallurgical microscope that allow it to beused as an interferometer. The method is mentioned, because its accuracy withthin coatings can be within ±5% of the true thickness. Conditions necessary forthis procedure are contained in ASTM Standard Method B 588.

    THE SPOT TEST

    This test was developed as a rapid and inexpensive thickness test for chromiumcoatings on nickel and stainless steel. The test has an accuracy of ±20% for coatingsup to 1.2μm thick. A wax ring is outlined on the part to be tested. A dropof hydrochloric acid is placed in the ring, and the time between the onset andcessation of gassing is recorded. ASTM B 556 provides a standard guide for theperformance of this test.

    X-RAY FLUORESCENCE

    This method is similar to beta backscatter in that the area to be tested is the targetof radiation, and the energy emitted from that surface is measured. In this method,the radiation used is X-rays produced by an X-ray tube. The radiation measured issecondary emissions from the interaction of the X-rays with the coating and substrate.Unlike beta backscatter, the emissions measured are specific for each metal.Among the unique characteristics of this method are the following:

    1. No physical contact with the measured surface is required, thereby protectingthat surface.

    2. Extremely small areas may be measured.

    3. Since the emissions are specific for each metal, alloy compositions maybe determined.

    4. With proper calibration, intermediate coatings may be measured in amultilayer system.Thickness may be measured in the range 0.25 to 10μm, depending on themetal being measured. With proper calibration, the thickness may be determinedto within 10% of its true value. ASTM B 568 outlines a standard method for thismeasurement system. Due to the noncontacting characteristic and the rapid testtime, this procedure is used to continuously monitor thickness on continuouscoilplating machines and automated plating machines.

    STANDARDS

    Thickness standards are required for calibrating thickness gauges. In most cases,the standards should be plated from a similar plating solution and on the samebase metal as the product to be tested.After receipt, it is important to have a system to ensure the standard’s reliabilityafter use. One system makes use of primary, secondary, and working standards.The working standards are used for calibrating the thickness gauge daily.Once a week, the working standards are calibrated against the secondary standards.The secondary standards are then calibrated against the primary standardonce a month. The time between calibrations can be varied based on experiencewith the expected life of the standard. When a new standard is purchased, itbecomes the primary standard, and the remaining standards are lowered in rank.

    SUMMARY

    To measure the thickness of a coating, many properties have been utilized.Measurements have been described that use the atomic configuration, electrochemicalequivalent, corrosion rate, electrical conductivity, magnetic properties,density, and actual linear measure of the coating.In addition to these methods, tests have been successfully performed by usingthe electrical resistance and transparency of the coating. Each of these methodshas its proper application.It is obvious that one system is not capable of satisfying the needs of everyplater. Certainly, a plater coating 10,000 fasteners per barrel load at a rate of 50barrel loads per shift has a problem that is substantially different from a platerthat hard chromium plates printing rolls. Experience and judgment are required,and the responsibility for choosing the most economical thickness-measuringsystem adequate for a particular problem is not a simple task.

  • آزمون ضخامت سنجی در آبکاری- تشخیص در مقیاس میکرو ونانو - English

    troubleshooting, testing, & analysis

    MICRO- AND NANO-INDENTATION

    TESTING OF PLATING THICKNESS

     

    BY RAHUL NAIR, FISCHER TECHNOLOGY, INC., WITH CO-AUTHORS: MATT

    TAYLOR, FISCHER TECHNOLOGY, INC., AND BERND BINDER, HELMUT

    FISCHER, GMBH.

    Indentation Testing is the technique of using a harder material commonlyreferred to as an indenter to deform a softer material. The calculated hardness(H) is the applied force (F) divided by the corresponding area of contact (A); H =F/A. One of the first modern forms of this technique was implemented by JohanAugust Brinell in 1900 [1]. A very heavy load, up to 30,000 N, is applied througha 10mm diameter hard ball onto the test material. The hardness of the materialis calculated by measuring the diameter of the residual imprint.As materials increased in hardness over the years, new techniques had to bedeveloped to measure this property. Patented in 1914 the Rockwell Test employssmaller indenters; a diamond cone or a 1/16 inch diameter steel ball1. A lowerfixed load in the range of 600 N to 1,500 N is applied, the penetration depthmeasured and the corresponding area of contact calculated.While the aforementioned techniques are used to measure hardness of metalsand ceramics, Durometers where developed to measure the hardness of softpolymeric materials. Developed in the 1920s, ‘Shore’ hardness of material ischaracterized through this technique using Durometers with different springconstants and a conical or spherical shaped indenter per ASTM D 2240 andISO 868.Surface treatments of soft steels like case hardening, carburizing and carbonitridingrequire the surface mechanical properties to be measured, not the bulk.In order to limit the stress field from an indent to the treated surface, lower loadshave to be applied through smaller indenters. The Vickers and Knoop hardnesswere developed in 1921 and 1939, respectively, to meet this need. Indentersused in these techniques are diamond pyramids where the four sides meet at apoint. Low loads of up to 5N are applied through these indenters, and the areaof the residual imprint is optically measured per ISO 6507-1, 2, ISO 4545-1, 2or ASTM E384.Developments in deposition technology have resulted in an increase in theuse of thin films and coatings for aesthetic, tribological as well as functionalpurposes. These materials are used for a wide range of applications like automotiveclear coatings, protective metallic coatings, cutting tools, integratedcircuits and biomaterials. While traditional indentation testing can be used tocharacterize bulk steel, micro/nano scale layers and components have broughtmore challenges.Until recently, measuring the Pencil hardness of thin films according to ISO15184 has been commonplace, especially in the automotive paint industry. Withthis method, pencils of different hardness are moved at a certain angle and witha certain force across the paint surface to be tested. The ‘pencil hardness’ of thecoating is defined by two consecutive levels of pencil hardness, where the softerpencil leaves only a writing track, whereas the harder pencil causes a tangibledeformation of the paint coating.While Pencil, Vickers and Knoop hardness are still in use, the reliability andreproducibility of these methods are contentious for reasons mentioned later in thisarticle. Due to stringent quality standards in the coating industry, it is necessary to beable to test the hardness of coatings with accuracy and repeatability. The hardness ofthin coatings on tool bits, the viscoelasticity of protective coatings on optical lenses,the low friction coatings in consumer products all require precision application ofmillinewtons of force and corresponding measurements of depth in nanometers.This has led to the development of nanoindentation.

    Nanoindentation

    Instrumented indentation testing, more commonly referred to as nanoindentation– or, in simpler terms, depth-sensing indentation employs high-resolutioninstrumentation to continuously control and monitor the loads and displacementsof an indenter as it is driven into and withdrawn from a material. Theanalysis of the measured force-displacement curves described in ISO 14577 isbased on work by Doerner and Nix and Oliver and Pharr2, 3.Developed in the mid-1970s, nanoindentation is used to characterize a varietyof mechanical properties of any material that can be measured in a uniaxial tensionor compression test. While nanoindenation is most often used to measurehardness, it is also possible to calculate the modulus and creep using the datacollected in this test. Methods usingnanoindentation testers have also beendevised for evaluating the yield stress and strain-hardening characteristic ofmetals, the storage and loss modulus in polymers, and the activation energyand stress exponent for creep. The fracture toughness of brittle materials canbe estimated as well using optical measurement of the lengths of cracks thathave formed at the corners of hardness impressions made with sharp indenters.

    Construction of Testing Equipment

    Equipment used to perform nanoindentation consists of three basic componentsas shown in Figure 1:(a) An indenter mounted onto a rigid column(b) An actuator for applying the force(c) And a sensor for measuring the indenter displacementsSmall forces are generated either electromagnetically with a coil and magnetassembly or electrostatically using a capacitor with fixed and moving plates or withpiezoelectric actuators. Displacements may be measured by eddy current sensors,capacitive sensors, linear variable differential transducers or laser interferometers.A diamond is typically used tomake indenters because it has highhardness and elastic modulus. Thisminimizes thecontribution to themeasured displacement as comparedto those that are made of other lessstiffmaterials like sapphire or tungstencarbide in which case the elasticdisplacements of the indenter mustbe accounted for. Vickers geometryindenter, a four-sided pyramid, ismost commonly used in higherload nanoindentation tests for itsdurability. The Berkovich geometryindenter is used for measurementsof a few nanometers for two reasons; they are very sharp, thus they cause

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    Figure 1: Schematic of typical nanoindentation tester

    with a force actuator and displacement sensor.

    plastic deformation even at very small loads, and they are easier to manufactureprecisely as they have only three sides. Cube corner indenters are even sharperthan the Berkovich, causing higher stresses and strains. They can be used to estimatefracture toughness at relatively small scales. While using spherical indentersproduces only elastic deformation at low loads, they could be used to examineyielding and work hardening, and to generate the entire uniaxial stress-straincurve4.

    Hardness, Modulus and Creep

    During a nanoindentation measurement the indenter is driven into the materialas shown in Figure 2, both elastic and plastic deformation processes occur. Thisproduces an impression with a projected area Apand surface area Asof contactthat depends on the shape of the indenter to a contact depth, hc.The nanoindentation measurement includes a loading and unloading cycle.Figure 3 shows indentation load (F) plotted against the displacement (h) relativeto the surface before deformation, where the data was obtained for one completeindentation cycle. The important quantities are the maximum depth (hmax) ofpenetration, the peak load (Fmax), and the final depth after unloading (hr). Theslope of the upper portion of the unloading curve, S is known as the contactstiffness. The contact depth and stiffness are determined using the Oliver-Pharrmethod as described in ISO 14577 and ASTM E2546. The hardness and elasticmodulus are derived from these quantities.In nanoindentation the Martens Hardness is determined from the loadingportion of the load-displacement curve and includes the materials resistance toboth plastic and elastic deformation. The Martens Hardness can be plotted as a function the indentation depth. Martens Hardness is given by,

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    Figure 2: Schematic of indenter (blue) deforming test

    material (green).

    Instrumented IndentationHardness correlates to traditionalforms of hardness as it is ameasure of the resistance to plasticdeformation. InstrumentedIndentation Hardness is given by Reduced elastic modulus, Erthat is indicative of the stiffness of the sample is given by

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    Figure 3: Load-displacement curve measured on a

    nanoindentation tester.

    is a constant that dependson the geometry of the indenter.The reduced elastic modulus accounts for the elastic displacement that occurs in both the indenter and thesample. For a test material with elastic modulus EITit can be calculated by Here is the Poisson’s ratio forthe test material, and Eiand?iarethe elastic modulus and Poisson’sratio of the indenter, respectively.Creep can be used tocharacterize material behaviorat a constant load. IndentationCreep is defined as an increase inpenetration depth under constantload. As shown in Figure 4 theselected final load is kept constantfor defined time duration and theindentation depth is measured.Indentation Creep, CITis calculated as

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    Figure 4: Load-displacement curve with defined creep

    period at maximum load measured on a nanoindentation

    tester.

    h1: indentation depth at the start of the creep test

    h2: indentation depth at the end of the creep test

    Comparing Traditional Hardness Testing to Nanoindentation Hardness

    As hardness is already being measured for most applications it is important tounderstand the correlation between these traditional forms of hardness andInstrumented Indentation Hardness.

    Vickers Hardness vs. Nanoindentation HardnessSurface hardness of hard materials is commonly measured with Vickers orKnoop indenters with traditional microhardness testers. While these tests arestill reliable to characterize the hardness of most bulk materials they are not aseffective for coatings and thin films. The loads used in traditional microhardnesstesters are usually too high and results are affected by the properties of theunderlying layer. And because the indentation is measured optically, reproducibilityand accuracy of the data collected are affected by the quality of optics anduser’s definition of the diagonals of the residual indent. In nanoindentation themeasured depth is used to calculate the area of contact. But there is still a relationshipbetween Instrumented Indentation Hardness and Vickers Hardness asa Vickers geometry indenter is used in both tests. Even the Berkovich geometryindenters that are also used in nanoindentation simulate the same strain ratesas a Vickers geometry indenter. Thus, the relationship between InstrumentedIndentation Hardness and Vickers Hardness is defined as

    HV= 0.0945 HIT 5

    Shore Hardness vs. Nanoindentation Hardness

    A study measuring Martens hardness of ShoreA standards with the FISCHERSCOPE®HM2000 S, a nanoindentation tester shownin Figure 5, shows a very linear correlationat relatively low loads. The data in graph inFigure 6 are from indents with 50mN maximumload with loading and unloading timeof 60 seconds and a creep time of 10 seconds.These testing parameters are similar to thoseused for soft coatings and thin films whenshallow indentation depths are required toprevent substrate effects.

    Pencil Hardness vs. Nanoindentation Hardness

    In the following study the Martens hardnesswas measured for a set of graded pencils usedin Pencil hardness testing. The tests were carried out with the FISCHERSCOPE®HM2000 S. Figure 7 shows the results of multiple measurements on pencils ofvarious hardness levels. The large standard deviations of the individual test seriesshow the limitations of the pencil hardness method. Especially in the higherrange, the nominal hardness (B, HB, F, H, etc.) of pencils are not a dependableindicator of their actual hardness.With a nanoindentation tester the hardness of paint coatings can be measureddirectly and accurately. In addition, other characteristics can be determined, suchas creep and relaxation behavior, as well as the modulus of elasticity. All of theseparameters provide a true indication of the paint qualit

    Example of Applications

    Nanoindentation testersavailable in the market havea variety of features, loadand displacement ranges andresolutions. The followingexamples discuss two very differentcoatings that are commonlycharacterized with theFISCHERSCOPE® HM2000S nanoindentation tester. Keyfeatures and capabilities thatare essential for the nanoindentationtester in each applicationare described below.

    Mechanical characterization oflacquer coatings in automotiveapplications

    In the automotive industry,clear coatings for paint areused as protection from corrosionand external damage. These lacquers are exposed

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    Figure 6: Martens Hardness (HM) of Shore A standards

    performed with a FISCHERSCOPE® HM2000 S

    .

    ؟؟؟

    Figure 7: Comparison of the Martens Hardness of pencils of

    different hardness, shown with the standard deviation of

    the measurements

    . to environmental influencessuch as extreme temperaturefluctuations or moisture andsalt. In addition, automotivecoatings must exhibit a certaintoughness to make themresistant to mars and scratches.This requires the right balancesbetween hardness and elasticity.A quick differentiation anddetermination of these coatingproperties is possible with thenanoindentation test.Influence from underlyinglayers or the substrate can be avoided by selecting a sufficiently low maximumload that keeps the penetration depth of the indent below 10% of the coatingthickness. At the beginning of the curing process, the clear coats are relativelysoft. One of the key features of a nanoindentation tester is a sensitive automatedsurface detection. As the measured mechanical properties polymers are influencedby rate of loading and unloading, a thermally stable nanoindentationsystem is also essential. Drift in the depth measurements caused by changes inenvironmental temperature must be avoided or accounted for.The Martens hardness (HM) and the Martens hardness after creeping (HMCR)are values which specify plastic and elastic properties of the paint coating. Theindentation hardness (HIT) considers only the plastic portion of the materialdeformation. The hardness parameters allow for better understanding of aging,curing, cross-linking, embrittlement through UV radiation, hardness changethrough temperature influences and the degree of polymerization of the lacquer.One of the most important advantages of the instrumented indentationtest is the determination of elastic properties. The indentation modulus (EIT),creep at maximum load (CIT) can be determined using this method and providesinformation regarding the visco-elastic properties of lacquer coatings. Theseproperties show the ability of the lacquer to resist weather degradation and healin case of scratches.

    Nanoindentation on wear-resistant DLC coatings applied to engine components

    In order to reduce emissions in combustion engines without sacrificing performance,manufacturers are continually working to improve the ability of themoving components (e.g. camshafts, valve lifters, piston rings and gears) toresist abrasion and reduce friction.Protective coatings such asdiamond-like carbon (DLC) areincreasingly used in such applications.As DLC coatings canhave a wide range of hardnessdepending on the depositionprocess it is important to measurthe fundamental mechanicalproperties of this hard, lowfriction coating.Traditional hardness measurements

    would involve apply

    ؟؟؟

    Figure 9: DLC-coated engine components.

    Figure 10: The graph shows the depth-dependent profile of the Martens Hardness of the DLC coating.

    ing a load though a sharp indenter and measuring the residual imprint under amicroscope. However, this is almost impossible due to the elastic nature and darkcolor of the DLC coating.As these coatings are only a few microns in thickness the nanoindentationtester should have high depth resolution to allow for shallow indents to beperformed, thus preventing the substrate material from influencing the measurements.And because ceramics have higher stiffness, the instrument musthave a rigid frame to eliminate instrument compliance and only deform thematerial being tested.In this example, the measurement results of a 3 μm thick DLC layer areshown. The values for indentation hardness (HIT), Martens Hardness (HM) andindentation modulus (EIT) for the coating is listed in Table 1. The convertedVickers hardness (HV) helps correlate these measurements with traditionalmicrohardness testers. The graph in Figure 10 maps the measured MartensHardness as a function of indentation depth. Minimal change in this measurementwith increasing depth indicates that even at maximum load there is noinfluence from the under lying substrate.

    CONCLUSION

    Improving the surface mechanical properties of materials boosts performanceand increases life cycle of products. New developments in coating and surfacetreatment technology has seen nanoindentation gain wider acceptance.Combination of ISO and ASTM standards for nanoindentation and availabilityof off-the-shelf options from different vendors has also contributed to adoptionof this technique in many industries.Given the limitations of traditional hardness testing techniques, nanoindentationtesters are viewed as tools that can give a better understanding ofthe interactions between surfaces or against abrasive elements. The wealth ofinformation about the mechanical properties derived from a nanoindentationtest defines the true strength of a material. Additionally, a single tool can beused to characterize a wide variety of materials ranging from soft polymers tohard ceramics. Most importantly, this technique removes the majority of theuser-influence and subjectivity from the test and allows one to quantitativelyanalyze a surface or coating.

    REFERENCES

    1. The Hardness of Metals, D. Tabor, Oxford University Press, Aug 3, 2000, ISBN0198507763, 9780198507765

    2. A method for interpreting the data from depth-sensing indentation instruments,M.F. Doerner, and W. D. Nix,Journal of Materials Research, Vol. 1, No. 4,Jul/Aug 1986

    3. Measurement of hardness and elastic modulus by instrumented indentation:Advances in understanding and refinements to methodology, W.C. Oliver andG.M. Pharr, , Vol. 19, No. 1, Jan 2004

    4. A simple predictive model for spherical indentation, J.S. Field and M.V. Swain,Journal of Materials Research, Vol. 8, No. 2, 1993

    5. TheIBIS Handbook of Nanoindentation, Anthony C. Fischer-Cripps, ISBN

    0 9585525 4 

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