<?xml version='1.0' encoding='utf-8'?>
<oai_dc:dc xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd">
  <dc:contributor>R. Meister</dc:contributor>
  <dc:creator>L. Peselnick</dc:creator>
  <dc:date>1965</dc:date>
  <dc:description>&lt;div class="hlFld-Abstract"&gt;&lt;div class="NLM_paragraph"&gt;Variational principles&lt;span&gt;&amp;nbsp;&lt;/span&gt;of&lt;span&gt;&amp;nbsp;&lt;/span&gt;anisotropic&lt;span&gt;&amp;nbsp;&lt;/span&gt;elasticity&lt;span&gt;&amp;nbsp;&lt;/span&gt;have been applied to aggregates of randomly oriented pure‐phase&lt;span&gt;&amp;nbsp;&lt;/span&gt;polycrystals&lt;span&gt;&amp;nbsp;&lt;/span&gt;having hexagonal symmetry and trigonal symmetry. The bounds of the effective&lt;span&gt;&amp;nbsp;&lt;/span&gt;elastic moduli&lt;span&gt;&amp;nbsp;&lt;/span&gt;obtained in this way show a considerable improvement over the bounds obtained by means of the Voigt and Reuss assumptions. The Hill average is found to be in most cases a good approximation when compared to the bounds found from the&lt;span&gt;&amp;nbsp;&lt;/span&gt;variational method.&lt;span&gt;&amp;nbsp;&lt;/span&gt;The new bounds reduce in their limits to the Voigt and Reuss values.&lt;/div&gt;&lt;/div&gt;&lt;div class="article-paragraphs"&gt;&lt;div class="sectionInfo"&gt;&lt;h4 class="refHeading"&gt;&lt;a name="_i1" class="mce-item-anchor"&gt;&lt;/a&gt;&lt;/h4&gt;&lt;/div&gt;&lt;/div&gt;</dc:description>
  <dc:format>application/pdf</dc:format>
  <dc:identifier>10.1063/1.1714598</dc:identifier>
  <dc:language>en</dc:language>
  <dc:publisher>AIP</dc:publisher>
  <dc:title>Variational method of determining effective moduli of polycrystals: (A) hexagonal symmetry, (B) trigonal symmetry</dc:title>
  <dc:type>article</dc:type>
</oai_dc:dc>