Standard Test Method for Knoop Indentation Hardness of Ceramic Whitewares

SIGNIFICANCE AND USE
5.1 The Knoop indentation hardness is one of many properties that is used to characterize ceramic whitewares. Attempts have been made to relate Knoop indentation hardness to tensile strength, grinding speeds, and other hardness scales, but no generally accepted methods are available. Such conversions are limited in scope and should be used with caution, except for special cases where a reliable basis for the conversion has been obtained by comparison tests.
SCOPE
1.1 This test method covers the determination of the Knoop indentation hardness of ceramic whitewares and the verification of Knoop indentation hardness testing machines using standard glasses.  
1.2 This standard does not purport to address all of the safety concerns, if any, associated with its use. It is the responsibility of the user of this standard to establish appropriate safety and health practices and determine the applicability of regulatory limitations prior to use.

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NOTICE: This standard has either been superseded and replaced by a new version or withdrawn.
Contact ASTM International (www.astm.org) for the latest information
Designation: C849 − 88 (Reapproved 2016)
Standard Test Method for
Knoop Indentation Hardness of Ceramic Whitewares
This standard is issued under the fixed designation C849; the number immediately following the designation indicates the year of
original adoption or, in the case of revision, the year of last revision.Anumber in parentheses indicates the year of last reapproval.A
superscript epsilon (´) indicates an editorial change since the last revision or reapproval.
NOTE 1—Ageneral description of the Knoop indentation hardness test
1. Scope
is given in Test Method E384. The present method differs from this
1.1 This test method covers the determination of the Knoop
description only in areas required by the special nature of ceramic
indentation hardness of ceramic whitewares and the verifica- whitewares.
tion of Knoop indentation hardness testing machines using
5. Significance and Use
standard glasses.
1.2 This standard does not purport to address all of the 5.1 The Knoop indentation hardness is one of many prop-
ertiesthatisusedtocharacterizeceramicwhitewares.Attempts
safety concerns, if any, associated with its use. It is the
responsibility of the user of this standard to establish appro- havebeenmadetorelateKnoopindentationhardnesstotensile
strength, grinding speeds, and other hardness scales, but no
priate safety and health practices and determine the applica-
bility of regulatory limitations prior to use. generally accepted methods are available. Such conversions
arelimitedinscopeandshouldbeusedwithcaution,exceptfor
2. Referenced Documents
specialcaseswhereareliablebasisfortheconversionhasbeen
obtained by comparison tests.
2.1 ASTM Standards:
E4Practices for Force Verification of Testing Machines
6. Apparatus
E384Test Method for Microindentation Hardness of Mate-
rials 6.1 Testing Machines:
6.1.1 There are two general types of machines available for
3. Terminology
making this test. One type is a self-contained unit built for this
purpose,andtheothertypeisanaccessoryavailabletoexisting
3.1 Definitions:
microscopes. Usually, this second type is fitted on an inverted-
3.1.1 Knoop hardness number ( KHN)—a number obtained
stage microscope. Good descriptions of the various machines
by dividing the applied load in kilograms-force by the pro-
3,4
are available.
jected area of the indentation in square millimetres, computed
6.1.2 Designofthemachineshouldbesuchthattheloading
from the measured long diagonal of the indentation and the
rate, dwell time, and applied load can be standardized within
included edge angles of the diamond. It is assumed that the
the limits set forth in 3.1.1. It is an advantage to eliminate the
indentation is an imprint of the undeformed indenter.
human element whenever possible by appropriate machine
design. The machine should be designed so that vibrations
4. Summary of Test Method
induced at the beginning of a test will be damped out by the
4.1 This test method describes an indentation hardness test
time the indenter touches the sample.
using a calibrated machine to force a pointed, rhombic-base,
6.1.3 Thecalibrationofthebalancebeamshouldbechecked
pyramidal diamond indenter having specified face angles,
monthly or as needed. Indentations in standard glasses are also
under a predetermined load, into the surface of the material
used to check calibration when needed.
under test and to measure the long diagonal of the resulting
6.2 Indenter:
impression after removal of the load.
6.2.1 The indenter shall meet the specifications for Knoop
indenters. See Test Method E384.
6.2.2 Fig. 1 shows the indenter and its maximum usable
ThistestmethodisunderthejurisdictionofASTMCommitteeC21onCeramic
Whitewares and Related Productsand is the direct responsibility of Subcommittee
dimensions. The diagonals have an approximate ratio of 7:1,
C21.03 on Methods for Whitewares and Environmental Concerns.
CurrenteditionapprovedJuly1,2016.PublishedJuly2016.Originallyapproved
in 1976. Last previous edition approved in 2011 as C849–88(2011). DOI:
10.1520/C0849-88R16. SpecificationsforKnoopindenterscanbefoundinSmall,L., Hardness Theory
For referenced ASTM standards, visit the ASTM website, www.astm.org, or and Practice (Part I: Practice) pp. 241–243, Service DiamondTool Co.,AnnArbor,
contact ASTM Customer Service at service@astm.org. For Annual Book of ASTM MI, 1960.
Standards volume information, refer to the standard’s Document Summary page on Mott, B. W., Micro-Indentation Hardness Testing, Butterworth’s Scientific
the ASTM website. Publications, London, 1956.
Copyright ©ASTM International, 100 Barr Harbor Drive, PO Box C700, West Conshohocken, PA19428-2959. United States
C849 − 88 (2016)
FIG. 1 Knoop Indenter Showing Maximum Usable Dimension
and the depth of the indentation is about ⁄30 the length of the duce within 61%. Six indentations on an “as-received”
long diagonal. A perfect Knoop indenter has the following surfacemaybeasbadas 610%.Groundandpolishedsurfaces
angles: should be used. If this is not possible, the number of indenta-
6.2.2.1 Included longitudinal angle 172° 30 min 00 s. tions should be increased.
6.2.2.2 Included transverse angle 130° 00 min 00 s. 7.1.3 Radius of Curvature—The KHN obtained will be
6.2.3 Theconstant C foraperfectindenteris0.07028,and affected even when the curvature is only in the direction of the
p
thespecificationsrequireavariationofnotmorethan1%from shortdiagonal.CareshouldbeusedwhenrelatingKHNvalues
this value. obtained on curved surfaces to those obtained on polished flat
surfaces.
6.3 Measuring Microscope—The measurement system shall
be so constructed that the length of the diagonals can be
8. Preparation of Apparatus
determined with errors not exceeding 60.0005 mm. The
apparent length of the diagonal is corrected in the calculations 8.1 Verification of Load—Most of the machines available
for the limit of resolution of the objective being used in the
for Knoop hardness testing use a loaded beam. This beam
microscope. should be tested for zero load. An indentation should not be
visible with zero load, but the indenter should contact the
7. Test Specimens
sample.Avisibleindentationshouldbeobtainedwithaloadof
0.1 gf. Other methods of verifying the load application are
7.1 The Knoop indentation hardness test is adaptable to a
given in Practice E4.
wide variety of ceramic whiteware specimens. In general, the
accuracy of the test will depend on the smoothness of the
8.2 Verification by Standard Glasses—Table 1 gives the
surface and, whenever possible, ground and polished speci-
Knoop hardness of several National Institute of Standards and
mens should be used. The back of the specimen shall be fixed
Technology (NIST) standard glasses. Knoop hardness mea-
so that the specimen cannot rock or shift during the test.
surement on a piece of one of these glasses that has been
7.1.1 Thickness—As long as the specimen is over ten times
ground and polished within the last 24 h should agree with the
as thick as the indentation depth, this will not affect the test. In
value in the table 65%. Tests should be made using 100 gf.
general, if specimens are at least 0.10 mm thick, the hardness
will not be affected by variations in the thickness.
9. Procedure
7.1.2 Surface Finish—Aspointedoutabove,theaccuracyof
9.1 Specimen Placement—Place the specimen on the stage
the test depends on the surface finish. However, if one is
of the machine in such a way so that the specimen will not be
investigating a surface coating or treatment, he cannot grind
able to rock or shift during the measurement.
and polish the sample. Experience has shown that six inden-
tations on a ground and polished surface of glass will repro- 9.2 Specimen Leveling:
C849 − 88 (2016)
A, B
TABLE 1 Knoop Hardness of NIST Standard Glasses
GE GE
NIST NIST NIST NIST NIST NIST
Fused Fused
710 711 715 710 711 715
Laboratory
Quartz Quartz
...


This document is not an ASTM standard and is intended only to provide the user of an ASTM standard an indication of what changes have been made to the previous version. Because
it may not be technically possible to adequately depict all changes accurately, ASTM recommends that users consult prior editions as appropriate. In all cases only the current version
of the standard as published by ASTM is to be considered the official document.
Designation: C849 − 88 (Reapproved 2011) C849 − 88 (Reapproved 2016)
Standard Test Method for
Knoop Indentation Hardness of Ceramic Whitewares
This standard is issued under the fixed designation C849; the number immediately following the designation indicates the year of
original adoption or, in the case of revision, the year of last revision. A number in parentheses indicates the year of last reapproval. A
superscript epsilon (´) indicates an editorial change since the last revision or reapproval.
1. Scope
1.1 This test method covers the determination of the Knoop indentation hardness of ceramic whitewares and the verification of
Knoop indentation hardness testing machines using standard glasses.
1.2 This standard does not purport to address all of the safety concerns, if any, associated with its use. It is the responsibility
of the user of this standard to establish appropriate safety and health practices and determine the applicability of regulatory
limitations prior to use.
2. Referenced Documents
2.1 ASTM Standards:
E4 Practices for Force Verification of Testing Machines
E384 Test Method for Microindentation Hardness of Materials
3. Terminology
3.1 Definitions:
3.1.1 Knoop hardness number ( KHN)—a number obtained by dividing the applied load in kilograms-force by the projected area
of the indentation in square millimetres, computed from the measured long diagonal of the indentation and the included edge angles
of the diamond. It is assumed that the indentation is an imprint of the undeformed indenter.
4. Summary of Test Method
4.1 This test method describes an indentation hardness test using a calibrated machine to force a pointed, rhombic-base,
pyramidal diamond indenter having specified face angles, under a predetermined load, into the surface of the material under test
and to measure the long diagonal of the resulting impression after removal of the load.
NOTE 1—A general description of the Knoop indentation hardness test is given in Test Method E384. The present method differs from this description
only in areas required by the special nature of ceramic whitewares.
5. Significance and Use
5.1 The Knoop indentation hardness is one of many properties that is used to characterize ceramic whitewares. Attempts have
been made to relate Knoop indentation hardness to tensile strength, grinding speeds, and other hardness scales, but no generally
accepted methods are available. Such conversions are limited in scope and should be used with caution, except for special cases
where a reliable basis for the conversion has been obtained by comparison tests.
6. Apparatus
6.1 Testing Machines:
6.1.1 There are two general types of machines available for making this test. One type is a self-contained unit built for this
purpose, and the other type is an accessory available to existing microscopes. Usually, this second type is fitted on an inverted-stage
3,4
microscope. Good descriptions of the various machines are available.
This test method is under the jurisdiction of ASTM Committee C21 on Ceramic Whitewares and Related Productsand is the direct responsibility of Subcommittee C21.03
on Methods for Whitewares and Environmental Concerns.
Current edition approved March 1, 2011July 1, 2016. Published March 2011July 2016. Originally approved in 1976. Last previous edition approved in 20062011 as
C849 – 88 (2011). (2006). DOI: 10.1520/C0849-88R11.10.1520/C0849-88R16.
For referenced ASTM standards, visit the ASTM website, www.astm.org, or contact ASTM Customer Service at service@astm.org. For Annual Book of ASTM Standards
volume information, refer to the standard’s Document Summary page on the ASTM website.
Specifications for Knoop indenters can be found in Small, L., Hardness Theory and Practice (Part I: Practice) pp. 241–243, Service Diamond Tool Co., Ann Arbor, MI,
1960.
Copyright © ASTM International, 100 Barr Harbor Drive, PO Box C700, West Conshohocken, PA 19428-2959. United States
C849 − 88 (2016)
6.1.2 Design of the machine should be such that the loading rate, dwell time, and applied load can be standardized within the
limits set forth in 3.1.1. It is an advantage to eliminate the human element whenever possible by appropriate machine design. The
machine should be designed so that vibrations induced at the beginning of a test will be damped out by the time the indenter
touches the sample.
6.1.3 The calibration of the balance beam should be checked monthly or as needed. Indentations in standard glasses are also
used to check calibration when needed.
6.2 Indenter:
6.2.1 The indenter shall meet the specifications for Knoop indenters. See Test Method E384.
6.2.2 Fig. 1 shows the indenter and its maximum usable dimensions. The diagonals have an approximate ratio of 7:1, and the
depth of the indentation is about ⁄30 the length of the long diagonal. A perfect Knoop indenter has the following angles:
6.2.2.1 Included longitudinal angle 172° 30 min 00 s.
6.2.2.2 Included transverse angle 130° 00 min 00 s.
6.2.3 The constant C for a perfect indenter is 0.070 28, and the specifications require a variation of not more than 1 % from
p
this value.
6.3 Measuring Microscope—The measurement system shall be so constructed that the length of the diagonals can be determined
with errors not exceeding 60.0005 mm. The apparent length of the diagonal is corrected in the calculations for the limit of
resolution of the objective being used in the microscope.
7. Test Specimens
7.1 The Knoop indentation hardness test is adaptable to a wide variety of ceramic whiteware specimens. In general, the accuracy
of the test will depend on the smoothness of the surface and, whenever possible, ground and polished specimens should be used.
The back of the specimen shall be fixed so that the specimen cannot rock or shift during the test.
7.1.1 Thickness—As long as the specimen is over ten times as thick as the indentation depth, this will not affect the test. In
general, if specimens are at least 0.10 mm thick, the hardness will not be affected by variations in the thickness.
7.1.2 Surface Finish—As pointed out above, the accuracy of the test depends on the surface finish. However, if one is
investigating a surface coating or treatment, he cannot grind and polish the sample. Experience has shown that six indentations
on a ground and polished surface of glass will reproduce within 61 %. Six indentations on an “as-received” surface may be as
bad as 610 %. Ground and polished surfaces should be used. If this is not possible, the number of indentations should be increased.
Mott, B. W., Micro-Indentation Hardness Testing, Butterworth’s Scientific Publications, London, 1956.
FIG. 1 Knoop Indenter Showing Maximum Usable Dimension
C849 − 88 (2016)
7.1.3 Radius of Curvature—The KHN obtained will be affected even when the curvature is only in the direction of the short
diagonal. Care should be used when relating KHN values obtained on curved surfaces to those obtained on polished flat surfaces.
8. Preparation of Apparatus
8.1 Verification of Load—Most of the machines available for Knoop hardness testing use a loaded beam. This beam should be
tested for zero load. An indentation should not be visible with zero load, but the indenter should contact the sample. A visible
indentation should be obtained with a load of 0.1 gf. Other methods of verifying the load application are given in Practice E4.
8.2 Verification by Standard Glasses—Table 1 gives the Knoop hardness of several National Institute of Standards and
Technology (NIST) standard glasses. Knoop hardness measurement on a piece of one of these glasses that has been ground and
polished within the last 24 h should agree with the value in the table 65 %. Tests should be made using 100 gf.
9. Procedure
9.1 Specimen Placement—Place the specimen on the stage of the machine in such a way so that the specimen will not be able
to rock or shift during the measurement.
9.2 Specimen L
...

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