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The '''Knoop hardness test''' {{IPAc-en|k|ə|ˈ|n|uː|p}} is a microhardness test – a test for mechanical [[hardness]] used particularly for very brittle materials or thin sheets, where only a small indentation may be made for testing purposes. A [[pyramid]]al [[diamond]] point is pressed into the polished surface of the test material with a known (often 100g) load, for a specified dwell time, and the resulting indentation is measured using a [[microscope]]. The geometry of this indenter is an extended pyramid with the length to width ratio being 7:1 and respective face angles are 172 degrees for the long edge and 130  degrees for the short edge. The depth of the indentation can be approximated as 1/30 of the long dimension.<ref>[http://www.gordonengland.co.uk/hardness/microhardness.htm "Microhardness Test", Surface Engineering Forum]</ref> The Knoop hardness ''HK'' or ''KHN'' is then given by the formula:
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:<math>HK={{\textrm{load}(\mbox{kgf})} \over {\textrm{impression\ area} (\mbox{mm}^2)}}={P \over {C_pL^2}}</math>
 
where:
:''L'' = length of indentation along its long axis
:''C''<sub>p</sub> = correction factor related to the shape of the indenter, ideally 0.070279
:''P'' = load
 
HK values are typically in the range from 100 to 1000, when specified in the conventional units of g<sub>f</sub>·mm<sup>−2</sup>.  The SI unit, [[pascal (unit)|pascal]]s, are sometimes used instead: 1&nbsp;kg<sub>f</sub>·mm<sup>−2</sup> = 9.80665 MPa.
 
The test was developed by Frederick Knoop<ref>{{cite journal|author=F. Knoop, C.G. Peters and W.B. Emerson|title=A Sensitive Pyramidal-Diamond Tool for Indentation Measurements|journal=Journal of Research of the National Bureau of Standards|volume=23|issue=1|year=1939| pages=39–61 (Research Paper RP1220)|url=http://archive.org/details/jresv23n1p39|doi=10.6028/jres.023.022}}</ref> and colleagues at the National Bureau of Standards (now [[NIST]]) of the [[USA]] in 1939, and is defined by the [[ASTM]] E384 standard.
 
The advantages of the test are that only a very small sample of material is required, and that it is valid for a wide range of test forces. The main disadvantages are the difficulty of using a microscope to measure the indentation (with an accuracy of 0.5 [[micrometre]]), and the time needed to prepare the sample and apply the indenter.
 
Variables such as load, temperature, and environment, may effect this procedure, which have been examined in detail.<ref>{{cite journal|last=Czemuska|first=J. T.|journal=Proc. Br. Ceram. Soc.|year=1984|volume=34|pages=145-156}}</ref>
 
[[File:Knoop-and Mohs- scale.svg|thumb|250px|Comparison between the Mohs and the Knoop scales.]]
{| class="wikitable"
|+ Sample values
!Material !! HK
|-
|[[Dentin]] || 68
|-
|[[Gold]] foil || 69
|-
|[[Tooth enamel]] || 343
|-
|[[Quartz]] || 820
|-
|[[Silicon carbide]] || 2480
|-
|[[Diamond]] || 7000
|}
 
== See also ==
{{Div col}}
* [[Vickers hardness test]]
* [[Ceramography#Microindention hardness and toughness|Knoop hardness of ceramics]]
* [[Leeb Rebound Hardness Test]]
* [[Meyer hardness test]]
{{Div col end}}
 
== References ==
{{reflist}}
 
== External links ==
* [http://www.efunda.com/units/hardness/convert_hardness.cfm?cat=Steel&HD=HK efunda]
* [http://web.archive.org/web/20080113233200/http://www.lib.umich.edu/dentlib/Dental_tables/Knoophard.html Dental hardness tables]
 
[[Category:Hardness tests]]
 
[[de:Härte#Härteprüfung nach Knoop]]

Revision as of 12:39, 8 February 2014

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