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		<updated>2026-04-16T23:02:20Z</updated>
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		<id>https://www.scipedia.com/wd/index.php?title=Li_et_al_2011a&amp;diff=192541&amp;oldid=prev</id>
		<title>Scipediacontent: Scipediacontent moved page Draft Content 749534521 to Li et al 2011a</title>
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				<updated>2021-01-28T17:51:24Z</updated>
		
		<summary type="html">&lt;p&gt;Scipediacontent moved page &lt;a href=&quot;/public/Draft_Content_749534521&quot; class=&quot;mw-redirect&quot; title=&quot;Draft Content 749534521&quot;&gt;Draft Content 749534521&lt;/a&gt; to &lt;a href=&quot;/public/Li_et_al_2011a&quot; title=&quot;Li et al 2011a&quot;&gt;Li et al 2011a&lt;/a&gt;&lt;/p&gt;
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				&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 17:51, 28 January 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;
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		<author><name>Scipediacontent</name></author>	</entry>

	<entry>
		<id>https://www.scipedia.com/wd/index.php?title=Li_et_al_2011a&amp;diff=192540&amp;oldid=prev</id>
		<title>Scipediacontent: Created page with &quot; == Abstract ==  In this study, the limit load, shakedown and ratchet limit of a defective pipeline subjected to constant internal pressure and a cyclic thermal gradient are a...&quot;</title>
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				<updated>2021-01-28T17:51:20Z</updated>
		
		<summary type="html">&lt;p&gt;Created page with &amp;quot; == Abstract ==  In this study, the limit load, shakedown and ratchet limit of a defective pipeline subjected to constant internal pressure and a cyclic thermal gradient are a...&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;&lt;br /&gt;
== Abstract ==&lt;br /&gt;
&lt;br /&gt;
In this study, the limit load, shakedown and ratchet limit of a defective pipeline subjected to constant internal pressure and a cyclic thermal gradient are analyzed. Ratchet limit and maximum plastic strain range are solved by employing the new Linear Matching Method (LMM) for the direct evaluation of the ratchet limit. Shakedown and ratchet limit interaction diagrams of the defective pipeline identifying the regions of shakedown, reverse plasticity, ratcheting and plastic collapse mechanism are presented and parametric studies involving different types and dimensions of part-through slot in the defective pipeline are investigated. The maximum plastic strain range over the steady cycle with different cyclic loading combinations is evaluated for a low cycle fatigue assessment. The location of the initiation of a fatigue crack for the defective pipeline with different slot type is determined. The proposed linear matching method provides a general-purpose technique for the evaluation of these key design limits and the plastic strain range for the low cycle fatigue assessment. The results for the defective pipeline shown in the paper confirm the applicability of this procedure to complex 3-D structures.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
== Original document ==&lt;br /&gt;
&lt;br /&gt;
The different versions of the original document can be found in:&lt;br /&gt;
&lt;br /&gt;
* [http://pdfs.semanticscholar.org/5ab8/a0001f1cee71da0ae752c99a0dc3369b4d52.pdf http://pdfs.semanticscholar.org/5ab8/a0001f1cee71da0ae752c99a0dc3369b4d52.pdf]&lt;br /&gt;
&lt;br /&gt;
* [https://strathprints.strath.ac.uk/32405/1/Chen_HF_Pure_Limit_shakedown_and_ratchet_analysis_of_defective_pipeline_under_internal_pressure_and_cyclic_thermal_loadins_17_Jul_2011.pdf https://strathprints.strath.ac.uk/32405/1/Chen_HF_Pure_Limit_shakedown_and_ratchet_analysis_of_defective_pipeline_under_internal_pressure_and_cyclic_thermal_loadins_17_Jul_2011.pdf]&lt;br /&gt;
&lt;br /&gt;
* [http://asmedigitalcollection.asme.org/PVP/proceedings-pdf/doi/10.1115/PVP2011-57013/2744495/311_1.pdf http://asmedigitalcollection.asme.org/PVP/proceedings-pdf/doi/10.1115/PVP2011-57013/2744495/311_1.pdf],&lt;br /&gt;
: [http://dx.doi.org/10.1115/pvp2011-57013 http://dx.doi.org/10.1115/pvp2011-57013]&lt;br /&gt;
&lt;br /&gt;
* [https://asmedigitalcollection.asme.org/PVP/proceedings/PVP2011/44526/311/350375 https://asmedigitalcollection.asme.org/PVP/proceedings/PVP2011/44526/311/350375],&lt;br /&gt;
: [https://strathprints.strath.ac.uk/32405 https://strathprints.strath.ac.uk/32405],&lt;br /&gt;
: [http://proceedings.asmedigitalcollection.asme.org/proceeding.aspx?articleid=1627873 http://proceedings.asmedigitalcollection.asme.org/proceeding.aspx?articleid=1627873],&lt;br /&gt;
: [https://proceedings.asmedigitalcollection.asme.org/proceeding.aspx?articleid=1627873 https://proceedings.asmedigitalcollection.asme.org/proceeding.aspx?articleid=1627873],&lt;br /&gt;
: [https://pureportal.strath.ac.uk/en/publications/limit-shakedown-and-ratchet-analyses-of-defective-pipeline-under- https://pureportal.strath.ac.uk/en/publications/limit-shakedown-and-ratchet-analyses-of-defective-pipeline-under-],&lt;br /&gt;
: [https://academic.microsoft.com/#/detail/1978160025 https://academic.microsoft.com/#/detail/1978160025]&lt;/div&gt;</summary>
		<author><name>Scipediacontent</name></author>	</entry>

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