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		<title>Oluschinski: Created page with &quot;{{Language_sel|LANG=ger|ARTIKEL=Vielfach-Craze-Bildung}} {{PSM_Infobox}} &lt;span style=&quot;font-size:1.2em;font-weight:bold;&quot;&gt;Multiple Crazing or Multiple craze formation (Author: Prof. Dr. G. H. Michler)&lt;/span&gt; __FORCETOC__  ==Introduction==  For many years, the  toughness of brittle  polymer materials has been technically improved by modifying them with rubber particles. Extensively investigated model examples are impact-resistant and high-impac...&quot;</title>
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		<summary type="html">&lt;p&gt;Created page with &amp;quot;{{Language_sel|LANG=ger|ARTIKEL=Vielfach-Craze-Bildung}} {{PSM_Infobox}} &amp;lt;span style=&amp;quot;font-size:1.2em;font-weight:bold;&amp;quot;&amp;gt;Multiple Crazing or Multiple craze formation (Author: Prof. Dr. G. H. Michler)&amp;lt;/span&amp;gt; __FORCETOC__  ==Introduction==  For many years, the &lt;a href=&quot;/index.php/Toughness&quot; title=&quot;Toughness&quot;&gt; toughness&lt;/a&gt; of brittle &lt;a href=&quot;/index.php/Plastics&quot; title=&quot;Plastics&quot;&gt; polymer materials&lt;/a&gt; has been technically improved by modifying them with rubber particles. Extensively investigated model examples are impact-resistant and high-impac...&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=Vielfach-Craze-Bildung}}&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;Multiple Crazing or Multiple craze formation (Author: Prof. Dr. G. H. Michler)&amp;lt;/span&amp;gt;&lt;br /&gt;
__FORCETOC__&lt;br /&gt;
&lt;br /&gt;
==Introduction==&lt;br /&gt;
&lt;br /&gt;
For many years, the [[Toughness | toughness]] of brittle [[Plastics | polymer materials]] has been technically improved by modifying them with rubber particles. Extensively investigated model examples are impact-resistant and high-impact modified polystyrene materials ([[Plastics – Symbols and Abbreviated Terms | abbreviation]]: PS-HI – High Impact PS or HIPS). The incorporation of rubber particles (with content of 10–25 vol.-%) reduces [[Strength | strength]] and stiffness, but greatly increases elongation at break and toughness. The main effect of the rubber particles is the initiation of local flow processes in the material, the so-called [[Micromechanics &amp;amp; Nanomechanics| crazes]] [1–3], which can occur in different [[Craze-Types | craze-types]]. This effect is the basis for increased energy absorption in the [[Material &amp;amp; Werkstoff | material]], whereby the main proportion comes from the formation of crazes (around 90 %), while the other mechanisms only provide small contributions. The toughness gain of the high impact polymers is often more than ten times greater than the toughness of the unmodified matrix [4].&lt;br /&gt;
&lt;br /&gt;
==The three-stage mechanism of multiple crazing==&lt;br /&gt;
&lt;br /&gt;
The mechanism of multiple craze formation is illustrated as a three-stage mechanism of multiple crazing in &amp;#039;&amp;#039;&amp;#039;Fig. 1&amp;#039;&amp;#039;&amp;#039; [1, 5].&lt;br /&gt;
&lt;br /&gt;
The three main steps are:&lt;br /&gt;
&lt;br /&gt;
(a) &amp;#039;&amp;#039;Craze initiation&amp;#039;&amp;#039;: the rubber particles initiate stress concentrationens &amp;#039;&amp;#039;σ&amp;#039;&amp;#039;&amp;lt;sub&amp;gt;K&amp;lt;/sub&amp;gt; with the largest values in the equatorial zones. Crazes form here and propagate perpendicular to the acting [[Stress | stress]];&lt;br /&gt;
&lt;br /&gt;
b) &amp;#039;&amp;#039;Overlapping effect&amp;#039;&amp;#039;: The stress fields around the rubber particles overlap intensively if the distance is smaller than the particle radius, i.e. with a particle content of approx. 15 vol.-%;&lt;br /&gt;
&lt;br /&gt;
c) &amp;#039;&amp;#039;Crack stop and crack propagation&amp;#039;&amp;#039;: If cracks have formed in the crazes, they can only propagate the short lengths between the crazes and are then stopped at the next particles (by crack tip rounding – crack tip blunting).&lt;br /&gt;
&lt;br /&gt;
[[file:Multiple_Crazing_1.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. 1&amp;#039;&amp;#039;&amp;#039;: &lt;br /&gt;
|width=&amp;quot;600px&amp;quot;|Three-stage mechanism for increasing [[Toughness | toughness]] (multiple crazing)&lt;br /&gt;
a) Stress concentration on individual particles &amp;lt;br&amp;gt;&lt;br /&gt;
b) Superposition of stress concentrations, higher stress concentrations leading to thicker crazes and wide crack bands &amp;lt;br&amp;gt;&lt;br /&gt;
c) Crack length limitation and crack arrest on and in the particles &lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
This effect is shown in &amp;#039;&amp;#039;&amp;#039;Fig. 2&amp;#039;&amp;#039;&amp;#039; in a deformation test of HIPS in a 1,000 kV transmission electron microscope (HVEM) [6, 7]. The rubber particles and the crazes initiated on them appear brighter than the matrix. &amp;#039;&amp;#039;&amp;#039;Fig. 2a&amp;#039;&amp;#039;&amp;#039; shows an overview of the [[Material &amp;amp; Werkstoff | material]] after stressing with two cracks on the left and right. Starting from these cracks, light-colored crack bands spread into the specimen perpendicular to the direction of stress. At higher magnification, &amp;#039;&amp;#039;&amp;#039;Fig. 2b&amp;#039;&amp;#039;&amp;#039; clearly shows the rubber particles and the crazes formed on them.&lt;br /&gt;
&lt;br /&gt;
[[file:Multiple_Crazing_2.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;|Deformation structures in an impact-resistant polymer (HIPS) in the HVEM (see arrow for direction of strain); &lt;br /&gt;
a) Overview of the deformation zone between the two cracks on the left and right &amp;lt;br&amp;gt;&lt;br /&gt;
b) in higher magnification area in front of a crack tip with rubber particles (gray) in the matrix (black) with crazes ( bright)&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
The crack stop on the rubber particles is an essential step in achieving high [[Toughness | toughness]], as this prevents premature [[Crack Propagation | crack propagation]] and further energy-absorbing cracks can form. &amp;#039;&amp;#039;&amp;#039;Fig. 3&amp;#039;&amp;#039;&amp;#039; shows a crack stop caused by a crack running into a soft rubber particle in a [[Tensile Test | deformation test]] in the 1,000 kV TEM.&lt;br /&gt;
&lt;br /&gt;
[[file:Multiple_Crazing_3.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. 3&amp;#039;&amp;#039;&amp;#039;: &lt;br /&gt;
|width=&amp;quot;600px&amp;quot;|HIPS under stress with a cracked craze (crack from top left), the crack is stopped in the rubber particle (deformed thin sample in the HVEM)&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
After the [[Material &amp;amp; Werkstoff | material]] has broken, the plastic deformations are visible in strongly stretched fibrils of the matrix material – as shown in &amp;#039;&amp;#039;&amp;#039;Fig. 4&amp;#039;&amp;#039;&amp;#039; in images taken with a [[Scanning Electron Microscopy|scanning electron microscope]] (SEM).&lt;br /&gt;
&lt;br /&gt;
[[file:Multiple_Crazing_4.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. 4&amp;#039;&amp;#039;&amp;#039;: &lt;br /&gt;
|width=&amp;quot;600px&amp;quot;|[[Fracture Surface | Fracture surface]] of an impact-resistant polymer with plastically strongly stretched fibrils of the matrix polymer at lower (a) and higher magnification (b), SEM images&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==See also==&lt;br /&gt;
&lt;br /&gt;
* [[Craze-Types | Craze-types]]&lt;br /&gt;
* [[Micromechanics &amp;amp; Nanomechanics]]&lt;br /&gt;
* [[Polymers &amp;amp; Structure | Polymers &amp;amp; structure]]&lt;br /&gt;
* [[Microscopic Structure | Microscopic structure]]&lt;br /&gt;
* [[Scanning Electron Microscopy | Scanning electron microscopy]]&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;
|[1]&lt;br /&gt;
|[[Michler,_Goerg_Hannes|Michler, G. H.]]: Kunststoff-Mikromechanik: Morphologie, Deformations- und Bruchmechanismen. Carl Hanser, Munich (1992); (ISBN 3-446-17068-5, see [[AMK-Büchersammlung | AMK-Library]] under F 4)&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|[2]&lt;br /&gt;
|Bucknall, C. B.: Toughened Plastics. Applied Science Publ., London (1977); https://doi.org/10.1002/pol.1978.130160714&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|[3]&lt;br /&gt;
|Bucknall, C. B.:  British Plastics 40, 1181–1122 (Nov.), 84–86 (Dec.) (1967)&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|[4]&lt;br /&gt;
|[[Michler,_Goerg_Hannes|Michler, G. H.]]:  Plaste und Kautschuk, 26, 680–684 (1979)&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|[5]&lt;br /&gt;
|[[Michler,_Goerg_Hannes|Michler, G. H.]], Balta-Calleja, F. J.: Nano- and Micromechanics of Polymers: Structure Modification and Improvements of Properties, Carl Hanser, Munich (2012); (ISBN 978-3-446-42767-9; e-Book 978-3-446-42844-7; see [[AMK-Büchersammlung | AMK-Library]] under F 13)&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|[6]&lt;br /&gt;
|[[Michler,_Goerg_Hannes|Michler, G. H.]]: Werkstoffwissenschaft und Kunststoffe. Schriften der Sudetendeutschen Akademie der Wissenschaften und Künste. Band 43, Forschungsbeiträge der Naturwissenschaftlichen Klasse, Munich (2024) 27–58; see [[AMK-Büchersammlung | AMK-Library]] under F 33&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|[7]&lt;br /&gt;
|[[Michler,_Goerg_Hannes|Michler, G. H.]]: Mechanik–Mikromechanik–Nanomechanik. Vom Eigenschaftsverstehen zur Eigenschaftsverbesserung. SpringerSpektrum (2024), ISBN 978-3-662-66965-5; e-book: ISBN978-3-66966-2; https://doi.org/10.1007/978-3-662-66966-2; see [[AMK-Büchersammlung | AMK-Library]] under F 34&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==Weblinks==&lt;br /&gt;
&lt;br /&gt;
* Wikipedia – Die freie Enzyklopädie: Crazes: https://de.wikipedia.org/wiki/Crazes&lt;br /&gt;
* [[Michler,_Goerg_Hannes|Michler, G. H.]]: Modellierung des Einflusses des Kautschukgehaltes auf die Craze-Bildung in schlagzähen Polymeren. Acta Polymerica Vol. 36, Issue 6 (1985)325-330; https://doi.org/10.1002/actp.1985.010360607&lt;br /&gt;
&lt;br /&gt;
[[Category:Guest Contributions]]&lt;br /&gt;
[[Category:Deformation]]&lt;/div&gt;</summary>
		<author><name>Oluschinski</name></author>
	</entry>
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