Optimization of the Czochralski method for InSb crystal ... - CUMC
Optimization of the Czochralski method for InSb crystal ... - CUMC
Optimization of the Czochralski method for InSb crystal ... - CUMC
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Stress equations<br />
Background<br />
Analysis <strong>of</strong> <strong>InSb</strong> <strong>crystal</strong><br />
Summary<br />
References<br />
The model<br />
Future work<br />
Stress-strain (constitutive) relationship depends on material<br />
More convenient representation <strong>for</strong> isotropic material<br />
where<br />
σ = Ce − α 0 (T − T g )(C 11 + 2C 12 )I,<br />
⎛<br />
⎞<br />
C 11 C 12 C 12 0 0 0<br />
C 12 C 11 C 12 0 0 0<br />
C =<br />
C 12 C 12 C 11 0 0 0<br />
⎜ 0 0 0 C 44 0 0<br />
,<br />
⎟<br />
⎝ 0 0 0 0 C 44 0 ⎠<br />
0 0 0 0 0 C 44<br />
e T = (e rr , e φφ , e zz , 2e φz , 2e rz , 2e rφ ),<br />
σ T = (σ rr , σ φφ , σ zz , σ φz , σ rz , σ rφ ).<br />
Devon Armstrong, Faculty <strong>of</strong> Science<br />
<strong>Optimization</strong> <strong>of</strong> <strong>the</strong> <strong>Czochralski</strong> <strong>method</strong> <strong>for</strong> <strong>InSb</strong> <strong>crystal</strong> growth