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 <title>iMechanica - Internal lattice relaxation of single-layer graphene under in-plane deformation - Comments</title>
 <link>http://imechanica.org/node/1251</link>
 <description>Comments for &quot;Internal lattice relaxation of single-layer graphene under in-plane deformation&quot;</description>
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 <title>Internal lattice relaxation of single-layer graphene under in-plane deformation</title>
 <link>http://imechanica.org/node/1251</link>
 <description>&lt;p&gt;
This paper has been published in &lt;em&gt;&lt;strong&gt;Journal of the Mechanics and Physics of Solids&lt;/strong&gt;&lt;/em&gt; 56 (2008), pp. 1609-1623 (&lt;a href=&quot;http://dx.doi.org/10.1016/j.jmps.2007.07.013&quot;&gt;doi:10.1016/j.jmps.2007.07.013&lt;/a&gt;).
&lt;/p&gt;
&lt;p&gt;
&lt;strong&gt;Abstract &lt;/strong&gt;
&lt;/p&gt;
&lt;p&gt;
For noncentrosymmetric crystals, internal lattice relaxation must be considered for theoretical predictions of elastic properties. This paper develops a molecular dynamics approach for determination of the internal relaxation displacement in a single-layer graphene sheet under macroscopically homogeneous in-plane deformation. Based on an analytical interatomic potential, a generally nonlinear relationship between the internal relaxation displacement and the applied macroscopic strain is obtained explicitly from molecular dynamics simulations with a rhombic unit cell under finite deformation. A linear relationship is derived for relatively small strains, which can be conveniently incorporated into a continuum description of the elastic behavior of graphene. It is found that the internal relaxation has a strong effect on theoretical elastic moduli of graphene. In addition, the relationship between elastic properties for graphene and carbon nanotubes is discussed.
&lt;/p&gt;
&lt;br class=&quot;clear&quot; /&gt;</description>
 <comments>http://imechanica.org/node/1251#comments</comments>
 <category domain="http://imechanica.org/taxonomy/term/76">research</category>
 <category domain="http://imechanica.org/taxonomy/term/264">carbon nanotubes</category>
 <category domain="http://imechanica.org/taxonomy/term/671">graphene</category>
 <category domain="http://imechanica.org/taxonomy/term/863">internal relaxation</category>
 <category domain="http://imechanica.org/taxonomy/term/93">molecular dynamics</category>
 <category domain="http://imechanica.org/taxonomy/term/220">R. Huang Group Research</category>
 <enclosure url="http://imechanica.org/files/Internal lattice relaxation of single-layer graphene under in-plane deformation.pdf" length="395047" type="application/x-pdf" />
 <pubDate>Mon, 16 Apr 2007 13:28:11 -0400</pubDate>
 <dc:creator>Jun Zhou</dc:creator>
 <guid isPermaLink="false">1251 at http://imechanica.org</guid>
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