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	<title>Tensile Strength - Revision history</title>
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		<title>Oluschinski: Created page with &quot;{{Language_sel|LANG=ger|ARTIKEL=Zugfestigkeit}} {{PSM_Infobox}} &lt;span style=&quot;font-size:1.2em;font-weight:bold;&quot;&gt;Tensile strength&lt;/span&gt; __FORCETOC__  ==Definition of tensile strength==  In conventional  tensile tests on  plastics,  stress and strain-related  characteristic values are determined in accordance with ISO 527-1, whereby the  material parameters correspond to selected point...&quot;</title>
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		<updated>2025-12-08T06:17:48Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;{{Language_sel|LANG=ger|ARTIKEL=Zugfestigkeit}} {{PSM_Infobox}} &amp;lt;span style=&amp;quot;font-size:1.2em;font-weight:bold;&amp;quot;&amp;gt;Tensile strength&amp;lt;/span&amp;gt; __FORCETOC__  ==Definition of tensile strength==  In conventional &lt;a href=&quot;/index.php/Tensile_Test&quot; title=&quot;Tensile Test&quot;&gt; tensile tests&lt;/a&gt; on &lt;a href=&quot;/index.php/Plastics&quot; title=&quot;Plastics&quot;&gt; plastics&lt;/a&gt;, &lt;a href=&quot;/index.php/Stress&quot; title=&quot;Stress&quot;&gt; stress&lt;/a&gt; and strain-related &lt;a href=&quot;/index.php/Material_Value&quot; title=&quot;Material Value&quot;&gt; characteristic values&lt;/a&gt; are determined in accordance with ISO 527-1, whereby the &lt;a href=&quot;/index.php/Material_Parameter&quot; title=&quot;Material Parameter&quot;&gt; material parameters&lt;/a&gt; correspond to selected point...&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=Zugfestigkeit}}&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;Tensile strength&amp;lt;/span&amp;gt;&lt;br /&gt;
__FORCETOC__&lt;br /&gt;
&lt;br /&gt;
==Definition of tensile strength==&lt;br /&gt;
&lt;br /&gt;
In conventional [[Tensile Test | tensile tests]] on [[Plastics | plastics]], [[Stress | stress]] and strain-related [[Material Value | characteristic values]] are determined in accordance with ISO 527-1, whereby the [[Material Parameter | material parameters]] correspond to selected points on the stress–strain diagram. By definition, the tensile strength &amp;#039;&amp;#039;σ&amp;#039;&amp;#039;&amp;lt;sub&amp;gt;m&amp;lt;/sub&amp;gt; or &amp;#039;&amp;#039;σ&amp;#039;&amp;#039;&amp;lt;sub&amp;gt;M&amp;lt;/sub&amp;gt; corresponds to the stress value on the vertical axis of the &amp;#039;&amp;#039;σ&amp;#039;&amp;#039;–&amp;#039;&amp;#039;ε&amp;#039;&amp;#039; diagram at the first stress maximum during the [[Tensile Test | tensile test]] and is calculated according to Eq. (1) [1].&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;\sigma _{m}=\frac{F_{m}}{A_{0}}=\frac{F_{max}}{A_{0}}&amp;lt;/math&amp;gt;&lt;br /&gt;
|width=&amp;quot;50px&amp;quot; |(1)&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
Depending on the type of diagram (a to d) of the plastic being tested, the tensile strength &amp;#039;&amp;#039;σ&amp;#039;&amp;#039;&amp;lt;sub&amp;gt;m&amp;lt;/sub&amp;gt;  can be identical to the [[Yield Stress | yield stress]] &amp;#039;&amp;#039;σ&amp;#039;&amp;#039;&amp;lt;sub&amp;gt;y&amp;lt;/sub&amp;gt; or the tensile stress at breaking &amp;#039;&amp;#039;σ&amp;#039;&amp;#039;&amp;lt;sub&amp;gt;b&amp;lt;/sub&amp;gt;  (&amp;#039;&amp;#039;&amp;#039;Fig. 1&amp;#039;&amp;#039;&amp;#039;). Although the tensile stress at break is specified as a parameter in the standard, this value should not be used as a comparative parameter for plastics, as it is highly dependent on the switch-off criterion of the [[Material Testing Machine | material testing machine]].&lt;br /&gt;
&lt;br /&gt;
==Strain at tensile strength and tensile strain at break==&lt;br /&gt;
&lt;br /&gt;
The associated [[Material Value | characteristic value]] on the horizontal axis marks the location where the first maximum occurs and is referred to as the strain of the tensile strength or, better, the yield strain  &amp;#039;&amp;#039;ε&amp;#039;&amp;#039;&amp;lt;sub&amp;gt;m&amp;lt;/sub&amp;gt;. This characteristic value can also correspond to the tensile strain at yield &amp;#039;&amp;#039;ε&amp;#039;&amp;#039;&amp;lt;sub&amp;gt;y&amp;lt;/sub&amp;gt;  or the tensile strain at break &amp;#039;&amp;#039;ε&amp;#039;&amp;#039;&amp;lt;sub&amp;gt;b&amp;lt;/sub&amp;gt;. In principle, the strain up to the yield strength &amp;#039;&amp;#039;ε&amp;#039;&amp;#039;&amp;lt;sub&amp;gt;y&amp;lt;/sub&amp;gt; (diagrams b and c in &amp;#039;&amp;#039;&amp;#039;Fig. 1&amp;#039;&amp;#039;&amp;#039;) must be measured with [[Strain Gauge | strain gauges]] as a normative value or, in the case of diagrams without yield strength up to break (diagrams a and d in &amp;#039;&amp;#039;&amp;#039;Fig. 1&amp;#039;&amp;#039;&amp;#039;), also determined using clip-on extensometers (see: [[Tensile Test#Tensile test, path measurement technique|tensile test, path measurement technique]]).&lt;br /&gt;
&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;\varepsilon _{t}= \varepsilon _{y}+\frac{\Delta L_{t}}{L}&amp;lt;/math&amp;gt;&lt;br /&gt;
|width=&amp;quot;50px&amp;quot; |(2)&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[file:Zugfest_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; |Typical stress–strain curves and associated parameters in the tensile test [1]&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
The [[Material Value | characteristic values]] tensile stress at break or strain at tensile strength are determined for diagram types b and c from the sum of the normative strain up to the yield point and the subsequent nominal strain from the traverse path according to equation (2). &amp;#039;&amp;#039;L&amp;#039;&amp;#039; is the clamp distance and &amp;#039;&amp;#039;L&amp;#039;&amp;#039;&amp;lt;sub&amp;gt;t&amp;lt;/sub&amp;gt; corresponds to the extension Δ&amp;#039;&amp;#039;L&amp;#039;&amp;#039; or the increase in the distance between the clamping clamps. The normative strain, which is always determined as a deformation measured directly on the test [[Specimen | specimen]], is calculated according to Eq. (3). &amp;#039;&amp;#039;L&amp;#039;&amp;#039;&amp;lt;sub&amp;gt;0&amp;lt;/sub&amp;gt; is the initial distance of the strain sensor on the test specimen and &amp;#039;&amp;#039;L&amp;#039;&amp;#039;&amp;lt;sub&amp;gt;0&amp;lt;/sub&amp;gt; is the measured extension of the sensor distance. The strain can be specified dimensionless (Eqs. (2) and (3)) or as a percentage when multiplied by a factor of 100.&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;\varepsilon = \frac{\Delta L_{0}}{L_{0}}&amp;lt;/math&amp;gt;&lt;br /&gt;
|width=&amp;quot;50px&amp;quot; |(3)&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==Stress–strain diagram for PA6==&lt;br /&gt;
&lt;br /&gt;
The evaluation according to the standard [1] is difficult if a stress–strain diagram is determined in the [[Tensile Test | tensile test]], e.g. for PA 6 according to &amp;#039;&amp;#039;&amp;#039;Fig. 2&amp;#039;&amp;#039;&amp;#039;. Due to the definition that the tensile strength corresponds to the first stress maximum, the absolute maximum according to this standard cannot be assigned a [[Material Parameter | parameter]], as all parameters have already been assigned. In contrast to the usual evaluation procedure of [[Material Testing Machine | testing machine]] manufacturers and a previous revision of this standard [2], the absolute maximum is designated here as tensile strength &amp;#039;&amp;#039;σ&amp;#039;&amp;#039;&amp;lt;sub&amp;gt;m&amp;lt;/sub&amp;gt; and the relative maximum only as [[Yield Stress | yield stress]] &amp;#039;&amp;#039;σ&amp;#039;&amp;#039;&amp;lt;sub&amp;gt;y&amp;lt;/sub&amp;gt;. The definition of tensile strength here was that this is the maximum stress that the test [[Specimen | specimen]] can withstand during the [[Tensile Test | tensile test]].&lt;br /&gt;
&lt;br /&gt;
[[file:Zugfest_2.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. 2&amp;#039;&amp;#039;&amp;#039;: &lt;br /&gt;
|width=&amp;quot;600px&amp;quot; |Nominal and normative strain of a [[Specimen | test specimen]] in the [[Tensile Test | tensile test]]&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
The tensile strength depends very much on the [[Test Speed | test speed]] and the test temperature, and is only comparable for different materials under identical test conditions and test [[Specimen | specimens]].&lt;br /&gt;
&lt;br /&gt;
A comprehensive literature analysis of the mechanical properties of the &amp;#039;&amp;#039;E&amp;#039;&amp;#039;&amp;lt;sub&amp;gt;t&amp;lt;/sub&amp;gt;, &amp;#039;&amp;#039;σ&amp;#039;&amp;#039;&amp;lt;sub&amp;gt;M&amp;lt;/sub&amp;gt; and &amp;#039;&amp;#039;ε&amp;#039;&amp;#039;&amp;lt;sub&amp;gt;B&amp;lt;/sub&amp;gt; tensile test is compiled for numerous [[Plastics | plastics]] in [3].&lt;br /&gt;
&lt;br /&gt;
==See also==&lt;br /&gt;
&lt;br /&gt;
* [[Tensile Test | Tensile test]]&lt;br /&gt;
* [[Tensile Test Uniform Elongation|Tensile test uniform elongation]]&lt;br /&gt;
* [[Yield Stress | Yield stress]]&lt;br /&gt;
* [[Crosshead Speed | Crosshead speed]]&lt;br /&gt;
* [[Test Speed | Test speed]]&lt;br /&gt;
* [[Material Testing Machine | Material testing machine]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;#039;&amp;#039;&amp;#039;Reference&amp;#039;&amp;#039;&amp;#039;&lt;br /&gt;
&lt;br /&gt;
{|&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|[1]&lt;br /&gt;
|ISO 527-1 (2019-07): Plastics – Determination of Tensile Properties – Part 1: General Principles&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|[2]&lt;br /&gt;
|ISO 527-1 (1993-06): Plastics – Determination of Tensile Properties – Part 1: General Principles&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|[3]&lt;br /&gt;
|[[Bierögel, Christian|Bierögel, C.]], [[Grellmann, Wolfgang|Grellmann, W.]]: Quasi-Static Tensile Test. In: [https://www.researchgate.net/profile/Wolfgang-Grellmann Grellmann, W.], [[Seidler, Sabine|Seidler, S.]]: Mechanical and Thermomechanical Properties of Polymers. Landolt-Börnstein, Volume VIII/6A3, Springer Berlin (2014) 76–143, (ISBN 978-3-642-55165-9; see [[AMK-Büchersammlung | AMK-Library]] under A 16) DOI: [http://dx.doi.org/10.1007/978-3-642-55166-6_16 http://dx.doi.org/10.1007/978-3-642-55166-6_16]&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
[[Category:Tensile Test]]&lt;/div&gt;</summary>
		<author><name>Oluschinski</name></author>
	</entry>
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