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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

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