Optimization of the Czochralski method for InSb crystal ... - CUMC

Background
Analysis of InSb crystal
Summary
References
The model
Future work
von Mises stress
Used to find the maximal stress
von Mises stress equation
For us
σ VM = (σ φφ − σ zz ) 2 + (σ rr − σ zz ) 2 + (σ rr − σ φφ ) 2
2σ VM = 1 4 ε2 Θ 12
1 r 4 + 1 16 ε2 Θ 12
1 (3r 2 − R 2 ) 2 + 1
16 ε2 Θ 12
1 (r 2 − R 2 ) 2
or
σ VM = 1 4 ε ∣ ∣Θ 1 (
∣ r
) 2 ( r
) ) 4
1 R
(1 2 − 4 + 7 .
R R
with Θ 1 1 ≃ ∂T /∂r
Devon Armstrong, Faculty of Science
Optimization of the Czochralski method for InSb crystal growth