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      <header alignment="Center" color="#a9a9a9">&amp;[DATE] &amp;[TIME] - &amp;[FILENAME]</header>
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          <p>Inconel 718</p>
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          <p>Stresses</p>
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          <e type="operator" args="2">+</e>
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          <e type="operator" args="2">*</e>
          <e type="operand">T.l1</e>
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          <e type="operator" args="2">-</e>
          <e type="bracket">(</e>
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          <e type="operand">1</e>
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          <e type="operator" args="2">-</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">+</e>
          <e type="operator" args="2">:</e>
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      </math>
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      <math optimize="2">
        <input>
          <e type="operand">σ.2c.1</e>
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          <e type="operand">α.C</e>
          <e type="operand">E.C</e>
          <e type="operator" args="2">*</e>
          <e type="operand">1</e>
          <e type="operand">v.C</e>
          <e type="operator" args="2">-</e>
          <e type="operator" args="2">/</e>
          <e type="operand">t.2</e>
          <e type="operand">k.C</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">*</e>
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          <e type="operator" args="2">*</e>
          <e type="operator" args="2">+</e>
          <e type="operator" args="2">:</e>
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      <math optimize="2">
        <input>
          <e type="operand">σ.1.1</e>
          <e type="operand">σ.2c.1</e>
          <e type="operand">E.C</e>
          <e type="operator" args="2">/</e>
          <e type="operand">α.C</e>
          <e type="operand">1</e>
          <e type="operand">v.C</e>
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          <e type="operator" args="2">/</e>
          <e type="operand">q.1</e>
          <e type="operand">h.l</e>
          <e type="operator" args="2">/</e>
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          <e type="operator" args="2">-</e>
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          <e type="operator" args="2">-</e>
          <e type="bracket">(</e>
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          <e type="operator" args="2">+</e>
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          <e type="operand">E.I</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
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      </math>
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      <math error="2" errorLocation="0">
        <input>
          <e type="operand">σ.2h.1</e>
        </input>
        <result action="numeric">
          <e type="operand">#</e>
        </result>
      </math>
    </region>
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      <math error="2" errorLocation="0">
        <input>
          <e type="operand">σ.2c.1</e>
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        <contract>
          <e type="operand" style="unit">MPa</e>
        </contract>
        <result action="numeric">
          <e type="operand">#</e>
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      </math>
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      <math error="2" errorLocation="0">
        <input>
          <e type="operand">σ.1</e>
        </input>
        <contract>
          <e type="operand" style="unit">MPa</e>
        </contract>
        <result action="numeric">
          <e type="operand">#</e>
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          <e type="operand">σ.2h.2</e>
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          <e type="operator" args="2">/</e>
          <e type="operand">σ.1.2</e>
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          <e type="operator" args="1">-</e>
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          <e type="operand">E.C</e>
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          <e type="operator" args="2">/</e>
          <e type="operator" args="2">+</e>
          <e type="operator" args="2">≡</e>
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      <math evaluate="false">
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          <e type="operand">σ.2h.1</e>
          <e type="operand">E.C</e>
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          <e type="operator" args="2">/</e>
          <e type="operand">σ.1.1</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="1">-</e>
          <e type="operand">α.C</e>
          <e type="operand">E.C</e>
          <e type="operator" args="2">*</e>
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          <e type="operator" args="2">-</e>
          <e type="bracket">(</e>
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          <e type="operator" args="2">/</e>
          <e type="operator" args="2">+</e>
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          <e type="operand">E.C</e>
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          <e type="operand">t.2</e>
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          <e type="operand">σ.1.1</e>
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          <e type="operand">E.C</e>
          <e type="operator" args="2">/</e>
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          <e type="operand">1</e>
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          <e type="operator" args="2">-</e>
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          <e type="operator" args="2">-</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">*</e>
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          <e type="operand">3</e>
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          <e type="function" args="5">sys</e>
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          <e type="operand" style="string">Initializing error. Please check path to Maxima under Insert&gt; Maxima&gt; Settings.</e>
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          <e type="operator" args="2">/</e>
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          <e type="operand">T.C1</e>
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        <input>
          <e type="operand">equ.2</e>
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          <e type="operand">E.C</e>
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          <e type="operand">1</e>
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      </math>
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      <math>
        <input>
          <e type="operand">equ.3</e>
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      </math>
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        <input>
          <e type="operand">σ.2h.1</e>
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        </input>
      </math>
    </region>
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      <math>
        <input>
          <e type="operand">σ.2h.1</e>
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        </input>
      </math>
    </region>
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      <math>
        <input>
          <e type="operand">v</e>
          <e type="function" args="1">f</e>
          <e type="operand">v</e>
          <e type="operand">1</e>
          <e type="function" args="2">el</e>
          <e type="operand" style="unit">MPa</e>
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          <e type="operand">2</e>
          <e type="function" args="2">el</e>
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        </input>
      </math>
    </region>
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      <math>
        <input>
          <e type="operand">v</e>
          <e type="function" args="1">j</e>
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          <e type="function" args="2">el</e>
          <e type="operand" style="unit">MPa</e>
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          <e type="function" args="2">el</e>
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          <e type="operand">v</e>
          <e type="operand">3</e>
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          <e type="operand" style="unit">MPa</e>
          <e type="operator" args="2">*</e>
          <e type="function" args="3">Jac</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="45" top="2205" width="113" height="35" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">var</e>
          <e type="operand">1</e>
          <e type="operand">1</e>
          <e type="operand">1</e>
          <e type="operand">1</e>
          <e type="operand">3</e>
          <e type="function" args="5">mat</e>
          <e type="function" args="1">transpose</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="288" top="2205" width="101" height="33" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">eps</e>
          <e type="operand">10</e>
          <e type="operand">14</e>
          <e type="operator" args="1">-</e>
          <e type="operator" args="2">^</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="189" top="2214" width="70" height="24" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">step</e>
          <e type="operand">0</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="45" top="2250" width="375" height="87" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">σ.2h.1</e>
          <e type="operand">σ.2c.1</e>
          <e type="operand">σ.1.1</e>
          <e type="operand">3</e>
          <e type="operand">1</e>
          <e type="function" args="5">mat</e>
          <e type="operand">var</e>
          <e type="operand">step</e>
          <e type="operand">eps</e>
          <e type="operand">f</e>
          <e type="operand">j</e>
          <e type="function" args="5">al_nleqsolve</e>
          <e type="operand" style="unit">MPa</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="45" top="2340" width="214" height="87" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">σ.2h.1</e>
          <e type="operand">σ.2c.1</e>
          <e type="operand">σ.1.1</e>
          <e type="operand">3</e>
          <e type="operand">1</e>
          <e type="function" args="5">mat</e>
        </input>
        <contract>
          <e type="operand" style="unit">MPa</e>
        </contract>
        <result action="numeric">
          <e type="operand">1.2</e>
          <e type="operand">10</e>
          <e type="operand">14</e>
          <e type="operator" args="1">-</e>
          <e type="operator" args="2">^</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.1797</e>
          <e type="operand">59.5905</e>
          <e type="operator" args="1">-</e>
          <e type="operand">3</e>
          <e type="operand">1</e>
          <e type="function" args="5">mat</e>
        </result>
      </math>
    </region>
    <region left="369" top="2358" width="271" height="33" color="#000000" fontSize="10">
      <text lang="eng" fontFamily="Courier New" fontSize="10">
        <content>
          <p style="text-decoration: none;">\[REGION[cb6ad845efaf439398646476e6f5ffce]]\ is basically equal to zero</p>
        </content>
        <regions>
          <region id="cb6ad845efaf439398646476e6f5ffce" left="2" top="0" width="48" height="32" color="#000000" fontSize="10">
            <math>
              <input>
                <e type="operand">σ.2h.1</e>
              </input>
            </math>
          </region>
        </regions>
      </text>
    </region>
    <region left="36" top="2457" width="222" height="33" color="#000000" fontSize="16">
      <text lang="eng" fontFamily="Courier New" fontSize="10">
        <content>
          <p style="text-decoration: underline; font-weight: bold; font-size: 16px;">Check for sanity</p>
        </content>
      </text>
    </region>
    <region left="36" top="2493" width="681" height="107" color="#000000" fontSize="10">
      <math>
        <description active="true" position="Left" lang="eng">
          <content>
            <p>σ.2h.1</p>
          </content>
        </description>
        <input>
          <e type="operand">E.C</e>
          <e type="operand">E.I</e>
          <e type="operator" args="2">/</e>
          <e type="operand">σ.1.1</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="1">-</e>
          <e type="operand">α.C</e>
          <e type="operand">E.C</e>
          <e type="operator" args="2">*</e>
          <e type="operand">1</e>
          <e type="operand">v.C</e>
          <e type="operator" args="2">-</e>
          <e type="operator" args="2">/</e>
          <e type="operand">1</e>
          <e type="operand">h.l</e>
          <e type="operator" args="2">/</e>
          <e type="operand">t.2</e>
          <e type="operand">k.C</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">+</e>
          <e type="operand">1</e>
          <e type="operand">h.g</e>
          <e type="operator" args="2">/</e>
          <e type="operand">1</e>
          <e type="operand">h.l</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">+</e>
          <e type="operand">t.2</e>
          <e type="operand">k.C</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">+</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">*</e>
          <e type="operand">T.C1</e>
          <e type="operand">T.l1</e>
          <e type="operator" args="2">-</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">+</e>
          <e type="operand">α.C</e>
          <e type="operand">α.I</e>
          <e type="operator" args="2">-</e>
          <e type="bracket">(</e>
          <e type="operand">E.C</e>
          <e type="operator" args="2">*</e>
          <e type="operand">T.l1</e>
          <e type="operand">T.0</e>
          <e type="operator" args="2">-</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">*</e>
          <e type="operand">1</e>
          <e type="operand">v.C</e>
          <e type="operator" args="2">-</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">+</e>
        </input>
        <contract>
          <e type="operand" style="unit">MPa</e>
        </contract>
        <result action="numeric">
          <e type="operand">2.1791</e>
          <e type="operand">10</e>
          <e type="operand">13</e>
          <e type="operator" args="1">-</e>
          <e type="operator" args="2">^</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="1">-</e>
        </result>
      </math>
    </region>
    <region left="36" top="2601" width="258" height="57" color="#000000" fontSize="10">
      <math>
        <description active="true" position="Left" lang="eng">
          <content>
            <p>σ.2c.1</p>
          </content>
        </description>
        <input>
          <e type="operand">σ.2h.1</e>
          <e type="operand">α.C</e>
          <e type="operand">E.C</e>
          <e type="operator" args="2">*</e>
          <e type="operand">1</e>
          <e type="operand">v.C</e>
          <e type="operator" args="2">-</e>
          <e type="operator" args="2">/</e>
          <e type="operand">t.2</e>
          <e type="operand">k.C</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">*</e>
          <e type="operand">q.1</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">+</e>
        </input>
        <contract>
          <e type="operand" style="unit">MPa</e>
        </contract>
        <result action="numeric">
          <e type="operand">0.1797</e>
        </result>
      </math>
    </region>
    <region left="36" top="2664" width="449" height="61" color="#000000" fontSize="10">
      <math>
        <description active="true" position="Left" lang="eng">
          <content>
            <p>σ.1.1</p>
          </content>
        </description>
        <input>
          <e type="operand">σ.2c.1</e>
          <e type="operand">E.C</e>
          <e type="operator" args="2">/</e>
          <e type="operand">α.C</e>
          <e type="operand">1</e>
          <e type="operand">v.C</e>
          <e type="operator" args="2">-</e>
          <e type="operator" args="2">/</e>
          <e type="operand">q.1</e>
          <e type="operand">h.l</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">+</e>
          <e type="operand">α.C</e>
          <e type="operand">α.I</e>
          <e type="operator" args="2">-</e>
          <e type="bracket">(</e>
          <e type="operand">T.l1</e>
          <e type="operand">T.0</e>
          <e type="operator" args="2">-</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">*</e>
          <e type="operand">1</e>
          <e type="operand">v.C</e>
          <e type="operator" args="2">-</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">+</e>
          <e type="bracket">(</e>
          <e type="operand">E.I</e>
          <e type="operator" args="2">*</e>
        </input>
        <contract>
          <e type="operand" style="unit">MPa</e>
        </contract>
        <result action="numeric">
          <e type="operand">59.5905</e>
          <e type="operator" args="1">-</e>
        </result>
      </math>
    </region>
  </regions>
</worksheet>