Anisotropy of thermoelastic stresses in shaped sapphire single crystals

The present paper considers the influence of the anisotropy of thermal and elastic properties of crystals on thermoelastic stresses in shaped corundum single crystals grown by the Stepanov technique. On the basis of the general principle of symmetry the forms of stress tensors are determined dependi...

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Bibliographic Details
Published in:Journal of crystal growth 1981-01, Vol.52 (N-1), p.404-410
Main Authors: Antonov, P.I., Bakholdin, S.I., Galaktionov, E.V., Tropp, E.V., Nikanorov, S.P.
Format: Article
Language:English
Subjects:
Anisotropy
Crystals
Sapphire single crystals
Stress
Thermoelastic stress
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Summary:The present paper considers the influence of the anisotropy of thermal and elastic properties of crystals on thermoelastic stresses in shaped corundum single crystals grown by the Stepanov technique. On the basis of the general principle of symmetry the forms of stress tensors are determined depending on the orientation for single crystals of different shapes. The applicability of approximate formulae for calculating the thermoelastic stresses in transparent crystals is discussed and the results of the numerical calculations are given. Factors introducing anisotropy of thermoelastic properties for rod- and ribbon-shaped crystals are introduced to obtain the quantitative characteristics of the influence of anisotropy. The values of these factors are determined from the single crystal properties and depend only on its orientation. The orientations providing minimum stress values during crystal growth under temperature conditions realized in practice, are indicated for sapphire single crystals.
ISSN:0022-0248
1873-5002
DOI:10.1016/0022-0248(81)90226-8