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		<id>https://www.scipedia.com/wd/index.php?action=history&amp;feed=atom&amp;title=Freddi_Mingazzi_2021a</id>
		<title>Freddi Mingazzi 2021a - Revision history</title>
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		<updated>2026-04-25T10:46:50Z</updated>
		<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>https://www.scipedia.com/wd/index.php?title=Freddi_Mingazzi_2021a&amp;diff=226349&amp;oldid=prev</id>
		<title>Scipediacontent at 16:07, 26 June 2021</title>
		<link rel="alternate" type="text/html" href="https://www.scipedia.com/wd/index.php?title=Freddi_Mingazzi_2021a&amp;diff=226349&amp;oldid=prev"/>
				<updated>2021-06-26T16:07:36Z</updated>
		
		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;td colspan='2' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;Revision as of 16:07, 26 June 2021&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&quot; &gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;== &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;Abstract &lt;/del&gt;==&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;== &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;Summary &lt;/ins&gt;==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;This paper analyses different discretization procedures and compares their numerical performances in the solution of phase field approach to fracture problem. A predictor energetic principle is employed to determine the active regions where damage evolves and, by the usage of a global/local strategy, mesh adaptive refinement or a combination of the two techniques, smaller displacement and damage problems are solved. The computational costs of the simulations are therefore drastically reduced without lowering the accuracy of the results. Initially, the effectiveness and accuracy of the different strategies are analysed and compared. After, the effects of the active zones on the performance and precision of the results is investigated via a parametric analysis. Two different numerical examples are presented in order to validate and show the efficiency of the proposed optimization strategies in lowering the computational costs and CPU times required to perform the numerical simulations.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;This paper analyses different discretization procedures and compares their numerical performances in the solution of phase field approach to fracture problem. A predictor energetic principle is employed to determine the active regions where damage evolves and, by the usage of a global/local strategy, mesh adaptive refinement or a combination of the two techniques, smaller displacement and damage problems are solved. The computational costs of the simulations are therefore drastically reduced without lowering the accuracy of the results. Initially, the effectiveness and accuracy of the different strategies are analysed and compared. After, the effects of the active zones on the performance and precision of the results is investigated via a parametric analysis. Two different numerical examples are presented in order to validate and show the efficiency of the proposed optimization strategies in lowering the computational costs and CPU times required to perform the numerical simulations.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;== &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;Full document &lt;/del&gt;==&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;== &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;Document &lt;/ins&gt;==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;pdf&amp;gt;Media:Draft_Content_626091298A_IDC6_434.pdf&amp;lt;/pdf&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;pdf&amp;gt;Media:Draft_Content_626091298A_IDC6_434.pdf&amp;lt;/pdf&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;

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		<author><name>Scipediacontent</name></author>	</entry>

	<entry>
		<id>https://www.scipedia.com/wd/index.php?title=Freddi_Mingazzi_2021a&amp;diff=226317&amp;oldid=prev</id>
		<title>Scipediacontent: Scipediacontent moved page Draft Content 626091298 to Freddi Mingazzi 2021a</title>
		<link rel="alternate" type="text/html" href="https://www.scipedia.com/wd/index.php?title=Freddi_Mingazzi_2021a&amp;diff=226317&amp;oldid=prev"/>
				<updated>2021-06-26T15:49:14Z</updated>
		
		<summary type="html">&lt;p&gt;Scipediacontent moved page &lt;a href=&quot;/public/Draft_Content_626091298&quot; class=&quot;mw-redirect&quot; title=&quot;Draft Content 626091298&quot;&gt;Draft Content 626091298&lt;/a&gt; to &lt;a href=&quot;/public/Freddi_Mingazzi_2021a&quot; title=&quot;Freddi Mingazzi 2021a&quot;&gt;Freddi Mingazzi 2021a&lt;/a&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left&quot; data-mw=&quot;interface&quot;&gt;
				&lt;tr style='vertical-align: top;' lang='en'&gt;
				&lt;td colspan='1' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan='1' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;Revision as of 15:49, 26 June 2021&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan='2' style='text-align: center;' lang='en'&gt;&lt;div class=&quot;mw-diff-empty&quot;&gt;(No difference)&lt;/div&gt;
&lt;/td&gt;&lt;/tr&gt;&lt;/table&gt;</summary>
		<author><name>Scipediacontent</name></author>	</entry>

	<entry>
		<id>https://www.scipedia.com/wd/index.php?title=Freddi_Mingazzi_2021a&amp;diff=226316&amp;oldid=prev</id>
		<title>Scipediacontent: Created page with &quot;== Abstract ==  This paper analyses different discretization procedures and compares their numerical performances in the solution of phase field approach to fracture problem....&quot;</title>
		<link rel="alternate" type="text/html" href="https://www.scipedia.com/wd/index.php?title=Freddi_Mingazzi_2021a&amp;diff=226316&amp;oldid=prev"/>
				<updated>2021-06-26T15:49:11Z</updated>
		
		<summary type="html">&lt;p&gt;Created page with &amp;quot;== Abstract ==  This paper analyses different discretization procedures and compares their numerical performances in the solution of phase field approach to fracture problem....&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;== Abstract ==&lt;br /&gt;
&lt;br /&gt;
This paper analyses different discretization procedures and compares their numerical performances in the solution of phase field approach to fracture problem. A predictor energetic principle is employed to determine the active regions where damage evolves and, by the usage of a global/local strategy, mesh adaptive refinement or a combination of the two techniques, smaller displacement and damage problems are solved. The computational costs of the simulations are therefore drastically reduced without lowering the accuracy of the results. Initially, the effectiveness and accuracy of the different strategies are analysed and compared. After, the effects of the active zones on the performance and precision of the results is investigated via a parametric analysis. Two different numerical examples are presented in order to validate and show the efficiency of the proposed optimization strategies in lowering the computational costs and CPU times required to perform the numerical simulations.&lt;br /&gt;
&lt;br /&gt;
== Full document ==&lt;br /&gt;
&amp;lt;pdf&amp;gt;Media:Draft_Content_626091298A_IDC6_434.pdf&amp;lt;/pdf&amp;gt;&lt;/div&gt;</summary>
		<author><name>Scipediacontent</name></author>	</entry>

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