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Thermoelastic stresses in tubes produced from a melt by Stepanov's method

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Abstract

Temperature fields and their corresponding thermoelastic stresses in tubes in the process of their growth from a melt by Stepanov's method are calculated. Results of the calculations are presented in the form of surfaces constructed above a longitudinal section of a tube. The behavior of the maximal stresses as a function of the tube length, the middle radius, and the wall thickness is investigated. The influence of the screen on the stress distribution is also taken into account.

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Abbreviations

T:

temperature

T 0m :

melting temperature

ks :

thermal conductivity coefficient

α t :

thermal expansion coefficient

cps :

heat capacity

hs :

heat-transfer coefficient

E:

Young's modulus

ν:

Poisson coefficient

V0 :

growth rate

θ1, θ2 :

temperatures of the external medium

σ m :

normal meridian stress

σ ϕ :

normal hoop stress

u, ω:

axial and radial travels of the middle surface

R1, R2 :

inner and outer radii of the tube

ρ:

density

References

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  2. K. Wada and K. Hoshikawa, J. Cryst. Growth,50, 151–156 (1980).

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  3. R. E. Novak and K. M. Kim, J. Cryst. Growth,50, 330–339 (1980).

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  4. P. I. Antonov, V. M. Krymov, and V. S. Yuferev, 7th All-Union Conference on Crystal Growth [in Russian], Moscow (1988).

  5. Ya. S. Podstrigach and R. N. Shvets, Thermoelasticity of Thin Shells [in Russian], Kiev (1978).

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Authors
  1. A. V. Zhdanov
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  2. V. A. Borodin
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  3. L. P. Nikolaeva
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Additional information

Institute of Physics of Solids of the Russian Academy of Sciences, Chernogolovka. Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 64, No. 4, pp. 469–476, April, 1993.

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Zhdanov, A.V., Borodin, V.A. & Nikolaeva, L.P. Thermoelastic stresses in tubes produced from a melt by Stepanov's method. J Eng Phys Thermophys 64, 379–386 (1993). https://doi.org/10.1007/BF00859224

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  • DOI: https://doi.org/10.1007/BF00859224

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