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		<title>Duan et al 2016a - Revision history</title>
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		<updated>2026-05-07T02:46:52Z</updated>
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		<title>Scipediacontent: Scipediacontent moved page Draft Content 694202762 to Duan et al 2016a</title>
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				<updated>2021-02-01T19:24:42Z</updated>
		
		<summary type="html">&lt;p&gt;Scipediacontent moved page &lt;a href=&quot;/public/Draft_Content_694202762&quot; class=&quot;mw-redirect&quot; title=&quot;Draft Content 694202762&quot;&gt;Draft Content 694202762&lt;/a&gt; to &lt;a href=&quot;/public/Duan_et_al_2016a&quot; title=&quot;Duan et al 2016a&quot;&gt;Duan et al 2016a&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 19:24, 1 February 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=Duan_et_al_2016a&amp;diff=197144&amp;oldid=prev</id>
		<title>Scipediacontent: Created page with &quot; == Abstract ==     Ultrasonic guided waves are often used in the detection of defects in oil and gas pipelines. It is common for these pipelines to be buried underground and...&quot;</title>
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				<updated>2021-02-01T19:24:38Z</updated>
		
		<summary type="html">&lt;p&gt;Created page with &amp;quot; == Abstract ==     Ultrasonic guided waves are often used in the detection of defects in oil and gas pipelines. It is common for these pipelines to be buried underground and...&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;
   Ultrasonic guided waves are often used in the detection of defects in oil and gas pipelines. It is common for these pipelines to be buried underground and this may restrict the length of the pipe that can be successfully tested. This is because acoustic energy travelling along the pipe walls may radiate out into the surrounding medium. Accordingly, it is important to develop a better understanding of the way in which elastic waves propagate along the walls of buried pipes, and so in this article a numerical model is developed that is suitable for computing the eigenmodes for uncoated and coated buried pipes. This is achieved by combining a one dimensional eigensolution based on the semi-analytic finite element (SAFE) method, with a perfectly matched layer (PML) for the infinite medium surrounding the pipe. This article also explores an alternative exponential complex coordinate stretching function for the PML in order to improve solution convergence. It is shown for buried pipelines that accurate solutions may be obtained over the entire frequency range typically used in long range ultrasonic testing (LRUT) using a PML layer with a thickness equal to the pipe wall thickness. This delivers a fast and computationally efficient method and it is shown for pipes buried in sand or soil that relevant eigenmodes can be computed and sorted in less than one second using relatively modest computer hardware. The method is also used to find eigenmodes for a buried pipe coated with the viscoelastic material bitumen. It was recently observed in the literature that a viscoelastic coating may effectively isolate particular eigenmodes so that energy does not radiate from these modes into the surrounding [elastic] medium. A similar effect is also observed in this article and it is shown that this occurs even for a relatively thin layer of bitumen, and when the shear impedance of the coating material is larger than that of the surrounding medium.&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://bura.brunel.ac.uk/handle/2438/13073 http://bura.brunel.ac.uk/handle/2438/13073]&lt;br /&gt;
&lt;br /&gt;
* [http://dx.doi.org/10.1016/j.jsv.2016.08.013 http://dx.doi.org/10.1016/j.jsv.2016.08.013] under the license http://creativecommons.org/licenses/by/4.0/&lt;br /&gt;
&lt;br /&gt;
* [https://doi.org/10.1016/j.jsv.2016.08.013 https://doi.org/10.1016/j.jsv.2016.08.013] under the license cc-by&lt;br /&gt;
&lt;br /&gt;
* [https://api.elsevier.com/content/article/PII:S0022460X16304011?httpAccept=text/plain https://api.elsevier.com/content/article/PII:S0022460X16304011?httpAccept=text/plain],&lt;br /&gt;
: [https://api.elsevier.com/content/article/PII:S0022460X16304011?httpAccept=text/xml https://api.elsevier.com/content/article/PII:S0022460X16304011?httpAccept=text/xml],&lt;br /&gt;
: [http://dx.doi.org/10.1016/j.jsv.2016.08.013 http://dx.doi.org/10.1016/j.jsv.2016.08.013] under the license https://www.elsevier.com/tdm/userlicense/1.0/&lt;br /&gt;
&lt;br /&gt;
* [https://bura.brunel.ac.uk/bitstream/2438/13073/5/FullText.pdf https://bura.brunel.ac.uk/bitstream/2438/13073/5/FullText.pdf],&lt;br /&gt;
: [https://www.sciencedirect.com/science/article/pii/S0022460X16304011 https://www.sciencedirect.com/science/article/pii/S0022460X16304011],&lt;br /&gt;
: [https://opus.lib.uts.edu.au/bitstream/10453/100656/1/1-s2.0-S0022460X16304011-main.pdf https://opus.lib.uts.edu.au/bitstream/10453/100656/1/1-s2.0-S0022460X16304011-main.pdf],&lt;br /&gt;
: [https://core.ac.uk/display/82117553 https://core.ac.uk/display/82117553],&lt;br /&gt;
: [https://ui.adsabs.harvard.edu/abs/2016JSV...384..177D/abstract https://ui.adsabs.harvard.edu/abs/2016JSV...384..177D/abstract],&lt;br /&gt;
: [https://opus.lib.uts.edu.au/handle/10453/100656 https://opus.lib.uts.edu.au/handle/10453/100656],&lt;br /&gt;
: [https://bura.brunel.ac.uk/handle/2438/13073 https://bura.brunel.ac.uk/handle/2438/13073],&lt;br /&gt;
: [https://academic.microsoft.com/#/detail/2512497216 https://academic.microsoft.com/#/detail/2512497216]&lt;br /&gt;
&lt;br /&gt;
* [ ]&lt;/div&gt;</summary>
		<author><name>Scipediacontent</name></author>	</entry>

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