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Metrology for characterizing scratch resistance of polymer coatings.


Current methods for scratch resistance assessment are often based on "relative but not quantitative" types of measurements, such as visual inspection, gloss changes, and changes in gray scale level or lightness. Most results are used for qualitative assessment purposes, which result in the lack of a repeatable and reliable standardized test A standardized test is a test administered and scored in a standard manner. The tests are designed in such a way that the "questions, conditions for administering, scoring procedures, and interpretations are consistent" [1]  method for the polymer materials community. To implement a scientifically based standardized test method for quantifying scratch resistance, it is vital to understand the relationships between material mechanical properties, morphology morphology

In biology, the study of the size, shape, and structure of organisms in relation to some principle or generalization. Whereas anatomy describes the structure of organisms, morphology explains the shapes and arrangement of parts of organisms in terms of such
, and appearance (optical properties) of surface and subsurface sub·sur·face  
adj.
Of, relating to, or situated in an area beneath a surface, especially the surface of the earth or of a body of water.

Adj. 1.
 deformation deformation /de·for·ma·tion/ (de?for-ma´shun)
1. in dysmorphology, a type of structural defect characterized by the abnormal form or position of a body part, caused by a nondisruptive mechanical force.

2.
. In this article, preliminary results from a scratch testing scratch test
n.
A test for allergy performed by scratching the skin and applying an allergen to the wound.


scratch test,
n
 protocol to identify the "onset" of plastic deformation plastic deformation,
n any irreversible deformation of tissues.
 in poly(methyl methacrylate methyl methacrylate
(meth´il methak´rilāt),
n an acrylic resin, CH2 = C(CH3)COOCH3, derived from methyl acrylic acid. Monomer is the single molecule and polymer is the polymerization product.
) and poly(propylene propylene /pro·pyl·ene/ (pro´pi-len) a gaseous hydrocarbon, CH3CHdbondCH2.

propylene glycol  a colorless viscous liquid used as a humectant and solvent in pharmaceutical preparations.
) commercial samples are presented. Recent advances in optical scattering measurements to identify the onset of plastic deformation by analyzing specular spec·u·lar  
adj.
Of, resembling, or produced by a mirror or speculum.



specu·lar·ly adv.

Adj. 1.
 and off-specular intensities are also presented.

Keywords: Hardness, scratch resistance, surface analysis, light scattering, gloss measurement, laser scanning confocal microscopy Confocal microscopy is an optical imaging technique used to increase micrograph contrast and/or to reconstruct three-dimensional images by using a spatial pinhole to eliminate out-of-focus light or flare in specimens that are thicker than the focal plane. , appearance, durability, mechanical properties

**********

Scratch resistance is a desirable characteristic and is widely used as a key critical performance property in both industry and research laboratories for evaluating the durability of polymer coatings and plastic products. Various instruments for assessing scratch resistance and test methods (1-6) have been developed to quantify and rank scratch resistance with respect to the imposed scratch conditions. Many researchers have tried to relate mechanical properties, such as tensile strength tensile strength

Ratio of the maximum load a material can support without fracture when being stretched to the original area of a cross section of the material. When stresses less than the tensile strength are removed, a material completely or partially returns to its
, (7,8) for example, to scratch resistance or to correlate scratch resistance to toughness through the analysis of fracture energy. (9) As a result, current scratch test methods are highly dependent on the test or system used, and the test conditions, which include parameters such as tip material/geometry, force/depth range, and velocity/length. Consequently, scratch test results can vary widely depending on the materials and testing environment, making it difficult to compare the results of scratch tests between laboratories.

The wide variety of scratch methods and instrumentation present many challenges in the standardization standardization

In industry, the development and application of standards that make it possible to manufacture a large volume of interchangeable parts. Standardization may focus on engineering standards, such as properties of materials, fits and tolerances, and drafting
 of scratch protocols. Equally difficult to standardize stan·dard·ize
v.
1. To cause to conform to a standard.

2. To evaluate by comparing with a standard.
 is the assessment and measurement of scratch resistance. Scratch resistance is commonly measured by assessing appearance changes brought about by scratch damage. Scratch damage can range from plastic grooving in a ductile ductile /duc·tile/ (duk´til) susceptible of being drawn out without breaking.

duc·tile
adj.
Easily molded or shaped.



ductile

susceptible of being drawn out without breaking.
 material, to cracking and chipping in a brittle material. Scratch resistance assessment is often based on "relative but not objective" types of measurements, such as visual inspection, gloss changes, and changes in gray scale level or lightness. These assessments are only qualitative. More quantitative approaches, such as those described in a recent study by Rangarajan et al., (10) used optical imaging techniques to quantify the visibility of a scratch on a glossy polymer surface. These results emphasized the importance of optical contrast between the damage area and its surroundings. The total optical contrast is a combination of scratch size and the contrast in specular and off-specular scattering. A good correlation between the total optical contrast and visibility of a scratch was proposed by an industrial appearance perception study. (11) However, this study does not report on the relationship between the appearance assessment of scratch and the associated material mechanical response.

In order to properly understand the scratch resistance of materials, both the tip-sample interaction that causes the scratch damage and the resulting change in optical perception must be studied. To address these issues, researchers from NIST (National Institute of Standards & Technology, Washington, DC, www.nist.gov) The standards-defining agency of the U.S. government, formerly the National Bureau of Standards. It is one of three agencies that fall under the Technology Administration (www.technology.  and industry (through a National Institute of Standards and Technology National Institute of Standards and Technology, governmental agency within the U.S. Dept. of Commerce with the mission of "working with industry to develop and apply technology, measurements, and standards" in the national interest.  (NIST)/industrial Polymer Interphase interphase /in·ter·phase/ (in´ter-faz) the interval between two successive cell divisions, during which the chromosomes are not individually distinguishable.

in·ter·phase
n.
 Consortium (PIC) (12)) have proposed a methodology to quantitatively relate surface deformation (scratch morphology) to appearance attributes in order to quantitatively evaluate the scratch resistance of polymer coatings and plastics. In this article, we discuss the proposed scratch test methodology, including preliminary optical scattering measurements of scratch profiles and their relationship to damage morphology.

EXPERIMENTAL (a)

Materials

Materials used in this study included poly(methyl methacrylate) (PMMA PMMA polymethyl methacrylate. ), and high crystalline poly(propylene) (PP). PMMA samples approximately 3.8 mm thick were provided directly from a commercial source. Injection-molded plaques of PP, approximately 3 mm thick, were provided by Dow Chemical. For the optical scattering studies, black-pigmented PP samples were selected to reduce subsurface scattering Subsurface scattering (or SSS) is a mechanism of light transport in which light penetrates the surface of a translucent object, is scattered by interacting with the material, and exits the surface at a different point.  so that the scattering due to scratch damage near the surface could be collected. All samples were used as received with no further annealing annealing (ənēl`ĭng), process in which glass, metals, and other materials are treated to render them less brittle and more workable.  or modifications. The representative indentation in·den·ta·tion
n.
A notch, a pit, or a depression.
 modulus of PMMA and PP are (5.11 [+ or -] 0.08) GPa and (1.33 [+ or -] 0.07) GPa, respectively. (13) These values were obtained using an MTS (1) See Microsoft Transaction Server.

(2) (Modular TV System) The stereo channel added to the NTSC standard, which includes the SAP audio channel for special use.

1. MTS - Message Transport System.
2.
 DCM DCM
abbr.
Distinguished Conduct Medal
 nanoindenter and evaluated at an indentation depth of 1 [micro]m. The error bars represent one standard deviation In statistics, the average amount a number varies from the average number in a series of numbers.

(statistics) standard deviation - (SD) A measure of the range of values in a set of numbers.
 (k=1) from 10 individual indentations.

[FIGURE 1 OMITTED]

Scratch Testing

Scratch testing was performed using the MTS Nanoindenter XP equipped with lateral force measurement capability, and has been described elsewhere. (13) All scratches were generated using 45[degrees] semi-apical angle diamond cone indenters with a tip radius Tip radius is the radius of the circular arc used to join a side-cutting edge and an end-cutting edge in gear cutting tools. Edge radius is an alternate term.1

Notes
1. ANSI/AGMA 1012-G05, "Gear Nomenclature, Definition of Terms with Symbols".
 of 1 [micro]m or 10 [micro]m. Scratches were generated by either progressive force or constant force scratch methods. A progressive force scratch test linearly increases the applied force over the length of the scratch. Constant force scratch tests maintain a constant force over the length of the scratch. The instrument also measures the scratch and residual depths, friction coefficient, and residual roughness during scratch testing. The estimated uncertainties of these quantities are one standard deviation from the mean determined from at least three scratch tests.

Scratch Morphology Characterization

A Zeiss model LSM LSM Linux Software Map
LSM Louisiana State Museum
LSM Linux Security Module
LSM Living Stream Ministry
LSM Laser Scanning Microscopy
LSM Legato Storage Manager
LSM Land-Surface Model
LSM Lutheran Student Movement
LSM Logical Storage Manager
510 reflection laser scanning confocal confocal

see confocal microscopy.
 microscope (LSCM LSCM Laser Scanning Confocal Microscopy
LSCM Least Squares Conformal Map
) was employed to characterize the surface morphology of scratches (topographic profile A topographic profile is a cross sectional view along a line drawn through a portion of a topographic map. In other words, if you could slice through a portion of the earth, pull away one half, and look at it from the side, the surface would be a topographic profile. , surface roughness, and width). A detailed description of LSCM measurements can be found elsewhere. (14,15) The laser wavelength used in this study was 543 nm. Figure 1 shows examples of scratch profiles produced by (a) progressive force and (b) constant force scratch test methods. The scratch width was defined as the peak-to-peak distance and is indicated in Figure 1b. LSCM images are two-dimensional (2D) intensity projections resulting from a series of overlapping optical slices (a stack of z-scan images) with a z-step of 0.1 [micro]m. The 2D intensity projection images are effectively the sum of all the light scattered by different layers of the coating, limited by the maximum depth of light penetration. The pixel intensity level represents the total amount of back-scattered light. The estimated uncertainties of scratch width measurements were one standard deviation from the mean determined from 10 different locations on each scratch profile.

Optical Scattering Measurements of Scratches

Optical scattering measurements using a newly constructed light scattering instrument were conducted at various incident angles in the specular, off-specular, and out-of-plane scattering configurations on a variety of scratch profiles. The new instrument, located in the NIST Building and Fire Research Laboratory, consists of a laser light source, a five-axis goniometric go·ni·om·e·ter  
n.
1. An optical instrument for measuring crystal angles, as between crystal faces.

2. A radio receiver and directional antenna used as a system to determine the angular direction of incoming radio signals.
 sample stage, and a 2D detector mounted in a concentric Coming from the center, or circles within circles. For example, tracks on a hard disk are concentric. Tracks on optical media are concentric or spiral shaped (in a coil) depending on the type.  ring around the sample stage (see Figure 2a). The incident laser wavelength was 633 nm, and the beam was polarized A one-way direction of a signal or the molecules within a material pointing in one direction.  and focused on the sample with a diameter of 1 mm. The sample rotation stage and the detector ring position determine the incident angle of the beam on the sample and the viewing angle of the detector. Figure 2b presents the optical geometry, where [[theta Theta

A measure of the rate of decline in the value of an option due to the passage of time. Theta can also be referred to as the time decay on the value of an option. If everything is held constant, then the option will lose value as time moves closer to the maturity of the option.
].sub.i] and [[theta].sub.s] are the incident and scattering angles measured with respect to the normal of the sample. The sign convention is such that [[theta].sub.s] = [[theta].sub.i] indicates the specular reflection Specular reflection is the perfect, mirror-like reflection of light (or sometimes other kinds of wave) from a surface, in which light from a single incoming direction (a ray) is reflected into a single outgoing direction.  angle. A detailed description of the instrument will be reported elsewhere. (16) In this article, we present the results in terms of the 2D angular distribution of light scattered from a scratch surface at an incident angle of 45[degrees]. The scattering signal from scratch is compared to the background signal from the coating surface, and the ratio of these two is used to evaluate the visibility of the scratch. A brief visual inspection is correlated with the optical measurements.

[FIGURE 2 OMITTED]

[FIGURE 3 OMITTED]

RESULTS AND DISCUSSION

Preliminary Measurement Protocol for Scratch Test

After an intensive study of scratch testing using various tip geometries, scratch loads, and scratch velocities, we have developed a measurement protocol for scratch testing using the MTS Nanoindenter XP instrumentation. This measurement protocol is designated as the Polymer Interface Consortium Scratch Test Protocol (PICSTP). This preliminary measurement protocol is described briefly as follows: (1) A series of progressive force scratch tests imparts a number of scratches with a range of severity in deformation. (2) LSCM (or a high-resolution optical microscopy microscopy /mi·cros·co·py/ (mi-kros´kah-pe) examination under or observation by means of the microscope.

mi·cros·co·py
n.
1. The study of microscopes.

2.
) is used to characterize the resulting surface deformation and identify the "onset" of plastic deformation. (3) Constant force scratch tests are conducted over a range of forces in the vicinity of the onset of plastic deformation. (4) LSCM is used to analyze the constant force scratches to identify more accurately the force that corresponded to the onset of plastic deformation. (5) Important scratch features such as scratch width, yield coefficient of friction coefficient of friction
n. pl. coefficients of friction
The ratio of the force that maintains contact between an object and a surface and the frictional force that resists the motion of the object.
, scratch depth, and residual depth at the onset of plastic deformation are identified from LSCM and scratch data. (6) Scratch test results are correlated with visual inspection and optical scattering measurements.

Scratch Test for PMMA System

Figure 3 demonstrates the application of the PICSTP on the PMMA sample. Figure 3a is an image that corresponds to the scratch profile produced by a progressive force test using the 1-[micro]m cone. The scratch load ranged from 0 mN to 30 mN over a total scratch length of 500 [micro]m using a scratch velocity of 1 [micro]m/sec. Plastic deformation in the form of a concave Concave

Property that a curve is below a straight line connecting two end points. If the curve falls above the straight line, it is called convex.
 deformation pattern was observed along the scratch direction. This type of pattern is typical of materials that have undergone "brittle" failure. (17) The onset of this plastic deformation was determined by two different methods. The first method used LSCM to identify the start of the deformation pattern, as shown in Figure 3a. The second method, shown in Figure 3b, determined the onset at the point where the residual roughness level became significant. Both methods measured similar onset points for the PMMA sample. Constant force tests (Figure 3c) at force values above and below the "critical load" were then conducted to define the onset point more precisely. The critical load was determined to be (3.8 [+ or -] 0.2) mN for the PMMA sample from these constant force tests.

[FIGURE 4 OMITTED]

Additional measurements of scratch response unique to each type of material were also collected. Figure 4 shows the scratch penetration data generated by the instrument during progressive force scratch tests. The perturbations in the penetration profiles are the result of "stick-slip" behavior corresponding to the formation of the deformation pattern. The corresponding residual depth and scratch width were estimated to be (500 [+ or -] 20) nm and (6 [+ or -] 1) [micro]m, respectively. At the onset point, the recovery rate (elasticity) was determined to be 56%.

The relationship between the scratch velocity and the surface damage (depth, width, and the onset) was also investigated. Figure 5a shows the scratch damage obtained with the conical conical /con·i·cal/ (kon´i-k'l) cone-shaped.

con·i·cal or con·ic
adj.
Of, relating to, or shaped like a cone.
 indenter with 4 mN of force at different velocities with PMMA. The measured scratch width was approximately 30% wider at 1 [micro]m/sec than at 100 [micro]m/sec. The velocity dependence on scratch deformation demonstrates one way in which polymer viscoelasticity Viscoelasticity, also known as anelasticity, is the study of materials that exhibit both viscous and elastic characteristics when undergoing deformation. Viscous materials, like honey, resist shear flow and strain linearly with time when a stress is applied.  affects scratch resistance. In this case, the material acts stiffer at higher scratch velocities and results in less plastic deformation. Similar trends were observed between scratch and residual depths and scratch velocities for constant force tests. Figure 5b and 5c show the semilog sem·i·log  
adj.
Semilogarithmic.
 plot of scratch/residual depth and scratch width as a function of scratch velocity, respectively. The residual depth decreased from around 570 nm at 1 [micro]m/sec to around 400 nm at 100 [micro]m/sec, and the recovery rate (elasticity) changed from 56% at 1 [micro]m/sec to 63% at 100 [micro]m/sec for a scratch force of 4 mN, respectively. In both plots, a linear relationship (inversely correlated) was observed in the semilog plot, i.e., depth (or width) [approximately equal to] log (velocity).

[FIGURE 5 OMITTED]

Scratch Test for the PP System

The PICSTP methodology was also applied to the PP samples using the same 1-[micro]m radius conical indenter at a velocity of 1 [micro]m/sec and is summarized in Figure 6. Noticeably, the scratch morphology of PP system was quite different from the PMMA. In this case, a convex Convex

Curved, as in the shape of the outside of a circle. Usually referring to the price/required yield relationship for option-free bonds.
 deformation pattern was observed. This scratch pattern is typical for tough materials like polyolefins. When compared to the PMMA, the scratch damage appeared at lower values of force and resulted in more severe plastic deformation. The "onset" obtained from the LSCM image (Figure 6a) and the residual roughness level data (Figure 6b) of a progressive force scratch test (0 mN to 30 mN) were estimated at 1.2 mN and 1.8 mN, respectively. The constant force scratch tests conducted at forces below the critical load, shown in Figure 6c, however, continued to generate plastic deformation. The low forces required for scratch deformation in the PP made the isolation of the critical load difficult from both the residual roughness and the LSCM image. A larger radius cone was then used in an attempt to better resolve the forces at which plastic deformation occurred. Figure 7 shows the scratch test results for the same PP sample with a 10-[micro]m radius cone. Although the force resolution was better with this indenter, the onset of plastic deformation remained difficult to isolate from a progressive scratch. Onset values determined from LSCM images or the residual roughness level were restricted by instrumental limitations and are shown in Figure 7a and 7b. A series of constant force scratches using the 10-[micro]m cone, shown in Figure 7c, provided better identification of the onset near 4 mN.

A comparison of the critical loads A critical load is defined as

”A quantitative estimate of an exposure to one or more pollutants below which significant harmful effects on specified sensitive elements of the environment do not occur according to present knowledge” (Nilsson and Grennfelt 1988)
 determined with the two different tips demonstrated the advantage of the constant force scratch test method to better identify the elastic-plastic transition. The comparison also emphasized that the critical load varies with tip shape. An alternative parameter such as "critical strain" or "critical stress" would be a more appropriate representation of the critical parameter and has been suggested by other researchers. (18) Conversion of load and displacement data to average stress and strain accounting for tip shape calibration (19,20) are the focus of continuing research efforts.

[FIGURE 6 OMITTED]

[FIGURE 7 OMITTED]

Additional information about the elastic recovery of the PP was also determined. Measurements of the applied deformation and the residual damage from both progressive and constant force tests are shown in Figure 8. The recovery rate at low scratch loads (less than 3 mN) was almost 100%. The recovery dropped to 86% at 4 mN and further to 48% at 30 mN.

Optical Scattering Characterization Of a Single Scratch

During the process of scratch deformation, the scratching probe generated dynamic and complex stress and strain that interacted with the polymeric polymeric /poly·mer·ic/ (pol?i-mer´ik) exhibiting the characteristics of a polymer.

pol·y·mer·ic
adj.
1. Having the properties of a polymer.

2.
 coating. The mechanical properties of the coating determine what combination of elastic and plastic deformation the polymeric coating will utilize to dissipate dis·si·pate  
v. dis·si·pat·ed, dis·si·pat·ing, dis·si·pates

v.tr.
1. To drive away; disperse.

2.
 the applied energy. The contribution of different deformation mechanisms determines the overall shape, magnitude, and characteristics of the resulting scratch. The point at which the scratch becomes visible and spoils the appearance is the greatest concern to coating manufacturers. These scratches are often called light scratches and differ from severe scratches that are generated from catastrophic plastic deformation. Specular gloss or gray scale level measurements can be used to assess the appearance changes due to heavy scratch damages, but these types of measurements are often not sensitive enough to detect light scratches. Appearance perception studies (11) showed that people were more perceptive to light scratches by varying the viewing angles. It is important, therefore, to implement a higher resolution technique to distinguish the "signal" of a light scratch from that of unscratched surface without relying on human perception. With a threshold of visibility established, polymeric materials will then be able to be evaluated in the context of how much energy was required to generate a perceptible per·cep·ti·ble  
adj.
Capable of being perceived by the senses or the mind: perceptible sounds in the night.



[Late Latin perceptibilis, from Latin perceptus
 scratch. The remainder of this article concentrates on our progress toward optically determining the scratch perception threshold.

[FIGURE 8 OMITTED]

Using the newly constructed light scattering instrument at NIST, optical scattering measurements on a single scratch at various scattering geometries collecting both the specular and nonspecular intensities were conducted. Figure 9 shows optical scattering measurements of the unscratched surface (ns) and two 3-mm single scratches (s2 and s3) of the PP sample and the corresponding scratch morphology measured by LSCM. Scratch s2 was made with a scratch force of 1 mN less than the onset load and scratch s3 was made at a scratch force of 2 mN greater than the onset load. The laser light with an incident angle of 45[degrees] was focused on the middle of the scratch and the orientation of scratch with respect to the laser indicated in Figure 9. By visual inspection, scratch s2 was hardly visible, while scratch s3 was clearly noticeable. The 20[degrees] specular gloss measurements at all three surfaces from a handheld commercial glossmeter (Minolta, Multi-Gloss model 268) were indistinguishable: all values were between 56.4 [+ or -] 1.0 within measurement uncertainty.

[FIGURE 9 OMITTED]

The scattering profiles (Figure 9a and 9b) from the unscratched surface and two scratches are distinguishable. Table 1 lists the calculated scattered intensity for specular gloss intensity, and the total intensities from scattering profiles (a) and (b). The specular gloss intensity was obtained by integrating the scattered intensity within the angular range of 45[degrees] [+ or -] 0.9[degrees]. Similar to the results from the commercial glossmeter, there was little difference in specular gloss intensity for three surfaces. In order to distinguish the visibility of two scratches, the nonspecular scattered intensity must be measured. Scratch parameters, such as size, shape, depth of the scratch, pile-up pile·up or pile-up  
n.
1. Informal A serious collision usually involving several motor vehicles.

2. An accumulation: "the pile-up of unsold autos" 
, and roughness of unscratched surface, have a strong impact on the scattered intensity distribution. The total scattered intensities listed in Table 1 of scratch s3 are greater than those values of ns and s2 for both near-specular ([[theta].sub.s] = 43[degrees], [alpha] = 0.5[degrees]) and off-specular ([[theta].sub.s] = 40[degrees], [alpha] = 0.5[degrees]) configurations. Here, [[theta].sub.s] and [alpha] are the scattering angle (as defined in Figure 2) and the out-of-plane scattering angle, respectively. This preliminary result indicated that the onset of a visible scratch can be determined from optical scattering experiments Scattering experiments (atoms and molecules)

Experiments in which a beam of incident electrons, atoms, or molecules is deflected by collisions with an atom or molecule.
. Current research has been dedicated to replicating these measurements on scratches with different features, such as surface roughness, subsurface microstructure mi·cro·struc·ture  
n.
The structure of an organism or object as revealed through microscopic examination.


microstructure
Noun

a structure on a microscopic scale, such as that of a metal or a cell
, and color. These features will affect the scratch visibility. Future work will include reporting the "visibility" of the scratch by comparing the scratch signal to the background signal from the unscratched surface.

SUMMARY

Characterization of scratch response including deformation pattern, scratch width/depth, and the onset from elastic to plastic deformation was determined for the PMMA and PP commercial samples using a proposed measurement protocol (PICSTP). The deformation patterns observed in each material were quite different. The critical force for plastic deformation was determined to depend on both the scratch velocity and the tip shape. Optical scattering experiments carried out on scratches above and below the critical force were able to distinguish the severity of the scratch. Scattering profiles of scratches at various scattering configurations provide a quantitative way to evaluate the scratch resistance and are the subject of continued research.

ACKNOWLEDGMENTS

The authors gratefully acknowledge funding support from the NIST-Industry Polymer Interphase Consortium (PIC). PIC industrial members include: Visteon Corporation, Dow Chemical, PPG Industries PPG Industries (NYSE: PPG) was founded in 1883 as the Pittsburgh Plate Glass Company.

PPG is an American manufacturer of glass and chemical products, including automotive safety glass.
, MTS System Corporation, Arkema Inc., and Eastman Chemical. The authors give special thanks to Dow Chemical for providing the specimens.

Reference

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A substance applied to other materials to change the surface properties, such as color, gloss, resistance to wear or chemical attack, or permeability, without changing the bulk properties.
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JCT Jerusalem College of Technology
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the juice of certain plants, some tropical and some Australian eucalypts, used in medicine as an astringent.
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Any of various species of edible mushrooms in the genera Morchella and Verpa. Morels have a convoluted or pitted head, or cap, vary in shape, and occur in diverse habitats. The edible M.
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natural philosophy, physics - the science of matter and energy and their interactions; "his favorite subject was physics"
 Effects on the Scratch Resistance of Polymers: Relationship Between Mechanical Properties and Scratch Properties at Various Temperatures," Prog. Org. Coat., 48, 322-331 (2003).

(19) VanLandingham, M.R., "A Review of Instrumented Indentation," J. Res. NIST, 108 (4), 249-265 (2003).

(20) VanLandingham, M.R., Camara, R., and Villarrubia, J.S., "Measuring Tip Shape for Instrumented Indentation Using Atomic Force Microscopy," in press, J. Mater. Res. (2005).

Li-Piin Sung and Peter L. Drzal -- National Institute of Standards and Technology*

Mark R. VanLandingham -- U.S. Army Research Laboratory ([dagger])

Tsun Yen Wu and Shuo-Hung Chang -- National Taiwan University National Taiwan University (Traditional Chinese: 國立臺灣大學; Simplified Chinese: 国立台湾大学 **

Presented at the 82nd Annual Meeting of the Federation of Societies for Coatings Technology, October 27-29, 2004, in Chicago, IL.

* Building and Fire Research Laboratory, Gaithersburg, MD 20899-8615.

([dagger]) Multifunctional Materials Branch, Aberdeen Proving Ground Aberdeen Proving Ground (APG) is a United States Army facility located near Aberdeen, Maryland (in Harford County).

The Army's oldest active proving ground, it was established on October 20, 1917, six months after the United States entered World War I.
, MD 21005-5069.

** Department of Mechanical Engineering, Taipei, Taiwan, R.O.C.

(a) Certain instruments or materials are identified in this article in order to adequately specify experimental details. In no case does it imply endorsement by NIST or imply that it is necessarily the best product for the experimental procedure.
Table 1 -- Total Scattered Intensity from Unscratched Surface (ns), Two
Single Scratches (s2, s3) at (a) and (b) Scattering Configurations from
Figure 9

            Gloss Intensity (a)
            (Specular Angle [+ or -]
Scattering  0.9[degrees])                     Total Intensity from (a)
Location    (X [10.sup.6] counts)             (X [10.sup.6] counts)

ns          2.20 [+ or -] 0.06                6.91 [+ or -] 0.06
s2          2.16 [+ or -] 0.06                6.92 [+ or -] 0.06
s3          2.14 [+ or -] 0.06                8.80 [+ or -] 0.06

Scattering                Total Intensity from (b)
Location                  (X [10.sup.6] counts)

ns                        0.15 [+ or -] 0.04
s2                        0.10 [+ or -] 0.05
s3                        0.38 [+ or -] 0.05

(a) Gloss intensity was obtained by integrating the scattered light
intensity in the scattered profile in Figure 9a within the angular range
45[degrees] [+ or -] 0.9[degrees]. This value is similar to the specular
gloss measurements.
The error bars represent an estimated standard deviation (k=1).
COPYRIGHT 2005 Federation of Societies for Coatings Technology
No portion of this article can be reproduced without the express written permission from the copyright holder.
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Author:Chang, Shuo-Hung
Publication:JCT Research
Geographic Code:1USA
Date:Oct 1, 2005
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