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<article article-type="research-article" dtd-version="1.3" xml:lang="en">
  <front xmlns:xlink="http://www.w3.org/1999/xlink">
    <journal-meta>
      <journal-id journal-id-type="elibrary">https://www.elibrary.ru/title_about_new.asp?i</journal-id>
      <journal-title-group>
        <journal-title>Materials physics and mechanics</journal-title>
        <trans-title-group xml:lang="ru">
          <trans-title>Механика и физика материалов</trans-title>
        </trans-title-group>
      </journal-title-group>
      <issn pub-type="epub">1605-8119</issn>
    </journal-meta>
    <article-meta xmlns:xlink="http://www.w3.org/1999/xlink">
      <article-id pub-id-type="publisher-id">2</article-id>
      <title-group>
        <article-title>On fractional ultra-laser two-step thermoelasticity</article-title>
        <trans-title-group xml:lang="ru">
          <trans-title>On fractional ultra-laser two-step thermoelasticity</trans-title>
        </trans-title-group>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <name>
            <surname>Ezzat</surname>
          </name>
          <xref ref-type="aff" rid="aff1"/>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>El-Karamany</surname>
          </name>
          <xref ref-type="aff" rid="aff2"/>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>El-Bary</surname>
          </name>
          <xref ref-type="aff" rid="aff3"/>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Fayik</surname>
          </name>
          <xref ref-type="aff" rid="aff1"/>
        </contrib>
      </contrib-group>
      <aff id="aff1">Alexandria University</aff>
      <aff id="aff2">Nizwa University</aff>
      <aff id="aff3">Arab Academy for Science and Technology</aff>
      <pub-date publication-format="electronic" date-type="pub" iso-8601-date="2013-12-31">
        <day>31</day>
        <month>12</month>
        <year>2013</year>
      </pub-date>
      <volume>18</volume>
      <issue>2</issue>
      <fpage>108</fpage>
      <lpage>126</lpage>
      <self-uri xmlns:xlink="http://www.w3.org/1999/xlink" content-type="pdf" xlink:href="https://mpm.spbstu.ru/userfiles/files/MPM_2013_18_2_P02.pdf"/>
      <abstract xml:lang="en">
        <p>In this work, a new mathematical model of two-step heat conduction for an isotropic generalized thermoelasticity is derived using the methodology of fractional calculus. Some theorems of generalized thermoelasticity follow as limiting cases. An ultrafast fractional thermoelasticity model utilizing the modified fractional parabolic two-step heat conduction model and the generalized fractional thermoelastic theory was formulated to describe the thermoelastic behavior of a thin metal irradiated by a femtosecond laser pulse. The temporal profile of the ultrafast laser was regarded as being non-Gaussian. An analytical. numerical technique based on the Laplace transform was used to solve the governing equations and the time histories of the electron temperature, lattice temperature, displacement and stress in gold were analyzed. Some comparisons have been shown in figures to estimate the effects of the fractional order parameter on all the studied fields. The effect of α where (0</p>
      </abstract>
      <kwd-group xml:lang="en">
        <kwd>thermoelasticity</kwd>
        <kwd>fractional calculus</kwd>
        <kwd>femtosecond laser</kwd>
        <kwd>modified two-step heat conduction</kwd>
        <kwd>Laplace transforms</kwd>
        <kwd>numerical results</kwd>
      </kwd-group>
    </article-meta>
  </front>
</article>
