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	<title>ENF-Specimen - Revision history</title>
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		<id>https://en.wiki.polymerservice-merseburg.de/index.php?title=ENF-Specimen&amp;diff=283&amp;oldid=prev</id>
		<title>Oluschinski: Created page with &quot;{{Language_sel|LANG=ger|ARTIKEL=ENF-Prüfkörper}} {{PSM_Infobox}} &lt;span style=&quot;font-size:1.2em;font-weight:bold;&quot;&gt;ENF specimen&lt;/span&gt; __FORCETOC__  ==General==  The Anglo-Saxon abbreviation ENF stands for &quot;End-Notched Flexure&quot;.  The ENF test specimen is used to determine the interlaminar fracture toughness of mode II loading. A critical energy release rate in plane strain is determined as a fracture mechanical  parameter....&quot;</title>
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		<updated>2025-12-01T10:23:14Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;{{Language_sel|LANG=ger|ARTIKEL=ENF-Prüfkörper}} {{PSM_Infobox}} &amp;lt;span style=&amp;quot;font-size:1.2em;font-weight:bold;&amp;quot;&amp;gt;ENF specimen&amp;lt;/span&amp;gt; __FORCETOC__  ==General==  The Anglo-Saxon abbreviation ENF stands for &amp;quot;End-Notched Flexure&amp;quot;.  The ENF test specimen is used to determine the interlaminar fracture toughness of mode II loading. A critical &lt;a href=&quot;/index.php?title=Energy_Release_Rate&amp;amp;action=edit&amp;amp;redlink=1&quot; class=&quot;new&quot; title=&quot;Energy Release Rate (page does not exist)&quot;&gt;energy release rate&lt;/a&gt; in plane strain is determined as a fracture mechanical &lt;a href=&quot;/index.php/Material_Parameter&quot; title=&quot;Material Parameter&quot;&gt; parameter&lt;/a&gt;....&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;{{Language_sel|LANG=ger|ARTIKEL=ENF-Prüfkörper}}&lt;br /&gt;
{{PSM_Infobox}}&lt;br /&gt;
&amp;lt;span style=&amp;quot;font-size:1.2em;font-weight:bold;&amp;quot;&amp;gt;ENF specimen&amp;lt;/span&amp;gt;&lt;br /&gt;
__FORCETOC__&lt;br /&gt;
&lt;br /&gt;
==General==&lt;br /&gt;
&lt;br /&gt;
The Anglo-Saxon abbreviation ENF stands for &amp;quot;End-Notched Flexure&amp;quot;.&lt;br /&gt;
&lt;br /&gt;
The ENF test specimen is used to determine the interlaminar fracture toughness of mode II loading. A critical [[Energy Release Rate|energy release rate]] in plane strain is determined as a fracture mechanical [[Material Parameter | parameter]]. Shear loading without much friction between the surfaces of a crack is assumed. Shear stresses and strains before the crack tip (see also [[Crack Tip Opening Displacement Concept (CTOD) | crack opening]]) can have an influence on the calculation of the [[Energy Release Rate|energy release rate]].&lt;br /&gt;
&lt;br /&gt;
==Test specimen shape==&lt;br /&gt;
&lt;br /&gt;
[[file:ENF-specimen_1.jpg|500px]]&lt;br /&gt;
{| &lt;br /&gt;
|- valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50px&amp;quot;|&amp;#039;&amp;#039;&amp;#039;Fig. 1&amp;#039;&amp;#039;&amp;#039;: &lt;br /&gt;
|width=&amp;quot;600px&amp;quot; |Schematic illustration of ENF specimen&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==Determination equation==&lt;br /&gt;
&lt;br /&gt;
To calculate the energy release rate &amp;#039;&amp;#039;G&amp;#039;&amp;#039;&amp;lt;sub&amp;gt;IIc&amp;lt;/sub&amp;gt; for EDZ, the following equation applies&lt;br /&gt;
&lt;br /&gt;
{|&lt;br /&gt;
|-&lt;br /&gt;
|width=&amp;quot;20px&amp;quot;|&lt;br /&gt;
|width=&amp;quot;500px&amp;quot; | &amp;lt;math&amp;gt;G_{IIc} = \frac{9 \cdot F^2 \cdot a^2 \cdot C_b}{2 \cdot W \left (2 \cdot L^3 + 3 \cdot a^3 \right) }  \left [ \frac{J}{m^2} \right ] &amp;lt;/math&amp;gt;&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
width:&lt;br /&gt;
{|&lt;br /&gt;
|-&lt;br /&gt;
|&amp;#039;&amp;#039;a&amp;#039;&amp;#039;&lt;br /&gt;
|width=&amp;quot;15px&amp;quot; | &lt;br /&gt;
|crack length&lt;br /&gt;
|-&lt;br /&gt;
|&amp;#039;&amp;#039;F&amp;#039;&amp;#039;&lt;br /&gt;
|&lt;br /&gt;
|failure force (F&amp;lt;sub&amp;gt;max&amp;lt;/sub&amp;gt;)&lt;br /&gt;
|-&lt;br /&gt;
|&amp;#039;&amp;#039;C&amp;#039;&amp;#039;&amp;lt;sub&amp;gt;b&amp;lt;/sub&amp;gt; &lt;br /&gt;
|&lt;br /&gt;
|compliance of the test specimen &lt;br /&gt;
|-&lt;br /&gt;
|&amp;#039;&amp;#039;W&amp;#039;&amp;#039; &lt;br /&gt;
|&lt;br /&gt;
|specimen width&lt;br /&gt;
|-&lt;br /&gt;
|&amp;#039;&amp;#039;L&amp;#039;&amp;#039; &lt;br /&gt;
|&lt;br /&gt;
|distance between pressure fin and support&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
As a conservative estimate of the compliance, the simple beam theory is sufficient in many cases; the test is carried out with a three-point bending device (see [[Bend Test|bend test]]) and a defined initial crack of 25 mm.&lt;br /&gt;
&lt;br /&gt;
[[file:enf_jis.jpg|400px]]&lt;br /&gt;
{| &lt;br /&gt;
|- valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50px&amp;quot;|&amp;#039;&amp;#039;&amp;#039;Fig. 2&amp;#039;&amp;#039;&amp;#039;: &lt;br /&gt;
|width=&amp;quot;600px&amp;quot; |ENF specimen in unloaded and loaded states according to JIS K 7086&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
The compliance can be determined experimentally or calculated according to&lt;br /&gt;
&lt;br /&gt;
{|&lt;br /&gt;
|-&lt;br /&gt;
|width=&amp;quot;20px&amp;quot;|&lt;br /&gt;
|width=&amp;quot;500px&amp;quot; | &amp;lt;math&amp;gt;C = \frac{2 \cdot L^3+3 \cdot a^3}{8 \cdot E \cdot f \cdot d^3}&amp;lt;/math&amp;gt;&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
width:&lt;br /&gt;
{|&lt;br /&gt;
|-&lt;br /&gt;
|&amp;#039;&amp;#039;E&amp;#039;&amp;#039; &lt;br /&gt;
|width=&amp;quot;15px&amp;quot; |&lt;br /&gt;
|flexural modulus in axial direction&lt;br /&gt;
|-&lt;br /&gt;
|&amp;#039;&amp;#039;d&amp;#039;&amp;#039; &lt;br /&gt;
|&lt;br /&gt;
|half of elastic beam height&lt;br /&gt;
|-&lt;br /&gt;
|&amp;#039;&amp;#039;f&amp;#039;&amp;#039; &lt;br /&gt;
|&lt;br /&gt;
|deflection&lt;br /&gt;
|-&lt;br /&gt;
|&amp;#039;&amp;#039;L&amp;#039;&amp;#039; &lt;br /&gt;
|&lt;br /&gt;
|half of [[Support Distance|support distance]]&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
By substituting these equations, one obtains a calculated energy release rate&lt;br /&gt;
&lt;br /&gt;
{|&lt;br /&gt;
|-&lt;br /&gt;
|width=&amp;quot;20px&amp;quot;|&lt;br /&gt;
|width=&amp;quot;500px&amp;quot; | &amp;lt;math&amp;gt;G_{IIc} = \frac{9 \cdot F^2 \cdot a^2}{16 \cdot W \cdot f \cdot d^3 \cdot E}&amp;lt;/math&amp;gt;&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
A comprehensive compilation of suitable test specimens for [[Fracture Mechanical Testing|fracture mechanics testing]] on [[Plastics|plastics]] and composites is contained in [[Specimen for Fracture Mechanics Tests | test specimens for fracture mechanics tests]].&lt;br /&gt;
&lt;br /&gt;
==Test system for performing of ENF tests==&lt;br /&gt;
&lt;br /&gt;
The test set-up shown in &amp;#039;&amp;#039;&amp;#039;Fig. 3&amp;#039;&amp;#039;&amp;#039; was implemented at [[Polymer Service GmbH Merseburg | Polymer Service GmbH Merseburg]] to carry out fracture mechanics tests under Mode II loading on ENF specimens. The left partial image shows the installation of an ENF specimen in a universal testing machine Z 050 from [https://www.zwick.de/ Zwick Roell GmbH &amp;amp; Co. KG] in unloaded condition. The right partial image shows a loaded condition with crack propagation in the test specimen.&lt;br /&gt;
&lt;br /&gt;
[[file:enf_pruefanordnung.jpg|650px]]&lt;br /&gt;
{| &lt;br /&gt;
|- valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|width=&amp;quot;50px&amp;quot;|&amp;#039;&amp;#039;&amp;#039;Bild 3&amp;#039;&amp;#039;&amp;#039;: &lt;br /&gt;
|width=&amp;quot;600px&amp;quot; |Test system for carrying out fracture mechanics tests on ENF specimens  from the company [https://www.polymerservice-merseburg.de/ Polymer Service GmbH Merseburg]&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==See also==&lt;br /&gt;
&lt;br /&gt;
* [[Specimen for Fracture Mechanics Tests | Specimen for fracture mechanics tests]]&lt;br /&gt;
* [[Bend Test|Bend test]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;#039;&amp;#039;&amp;#039;References&amp;#039;&amp;#039;&amp;#039;&lt;br /&gt;
&lt;br /&gt;
{|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&amp;lt;li&amp;gt;&lt;br /&gt;
|Carlsson, L. A., Pipes, R. B.: Hochleistungsverbundwerkstoffe, B. G. Teubner, Stuttgart (1989) (ISBN 978-3-519-03250-2; e-Book ISBN 978-3-322-96703-9)&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&amp;lt;li&amp;gt;&lt;br /&gt;
|Valisetly, R. R., Chamis, C. C.: ASTM STP 972 (1988) 41–72 (Composite Materials. Testing and Design / Eighth Conference)&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&amp;lt;li&amp;gt;&lt;br /&gt;
|Russel, A. J., Street, K. N.: Moisture and Temperature Effects on the Mixed Mode Delamination. Fracture of Unidirectional Graphite / Epoxy. Delamination and Deponding of Materials, ASTM STP 876 (1985) 349&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&amp;lt;li&amp;gt; &lt;br /&gt;
|Hodgkinson, J. M. (Ed.): Mechanical Testing of Advanced Fibre Composites, Woodhead Publishing, Cambridge (2000) (ISBN 978-1-8557-3891-1)&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&amp;lt;li&amp;gt;&lt;br /&gt;
|Altstädt, V.: Testing of Composite Materials. In: [[Grellmann,_Wolfgang|Grellmann, W.]], [[Seidler,_Sabine|Seidler, S.]] (Eds.): Polymer Testing. Carl Hanser Munich (2022) 3rd Edition, pp. 549–550 (ISBN  978-1-56990-806-8; see [[AMK-Büchersammlung|AMK-Library]] under A 22)&lt;br /&gt;
&lt;br /&gt;
&amp;#039;&amp;#039;&amp;#039;Standards&amp;#039;&amp;#039;&amp;#039;&lt;br /&gt;
&lt;br /&gt;
* ASTM D 7905/D 7905M (2019): Standard Test Method for Determination of the Mode II Interlaminar Fracture Toughness of Unidirectional Fiber-Reinforced Polymer Matrix Composites&lt;br /&gt;
* JIS K 7086 (1993): Testing Methods for Interlaminar Fracture Toughness of Carbon Fiber Reinforced Plastics (JIS – Japan Industrial Standards)&lt;br /&gt;
&lt;br /&gt;
[[Category:Bend Test]]&lt;br /&gt;
[[Category:Fracture Mechanics]]&lt;br /&gt;
[[Category:Specimen]]&lt;/div&gt;</summary>
		<author><name>Oluschinski</name></author>
	</entry>
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