Abstract
Approximate expressions for stress tensor components in cylindrical and ribbon crystals are obtained taking into account the temperature dependence of the thermal expansion coefficient. These expressions are used for estimating the effect of the thermal expansion nonlinearity factor on the stress level. It is shown that the stresses emerging in linear temperature fields due to this factor are comparable with critical stresses for defect formation.
Similar content being viewed by others
References
P. I. Antonov, L. M. Zatulovskii, A. S. Kostygov, and V. A. Tatarchenko, Production of Profiled Single Crystals and Items by Stepanov Method, Ed. by V. R. Regel’ and S. P. Nikanorov (Nauka, Leningrad, 1981) [in Russian].
P. I. Antonov, S. I. Bakholdin, M. G. Vasil’ev, et al., Izv. Ross. Akad. Nauk, Ser. Fiz. 58(9), 72 (1994).
V. M. Mamedov, V. S. Yuferev, S. I. Bakholdin, et al., Izv. Ross. Akad. Nauk, Ser. Fiz. 73, 1441 (2009).
E. V. Galaktionov and E. A. Tropp, Izv. Akad. Nauk SSSR, Ser. Fiz. 40, 1399 (1976).
P. I. Antonov, S. I. Bakholdin, E. V. Galaktionov, and E. A. Tropp, Izv. Akad. Nauk SSSR, Ser. Fiz. 44, 255 (1980).
P. K. Galarher, N. M. O’Bryan, and C. D. Brandle, Thermochim. Acta 133, 12 (1988).
D. V. Kovalevskii and P. V. Smirnov, Vestn. St.-Petersb. Univ., Ser. 4: Fiz., Khim., No. 3, 24 (2006).
R. E. Krzhizhanovskii and Z. Yu. Shtern, Thermophysical Properties of Nonmetallic Materials (Energiya, Leningrad, 1973) [in Russian].
Ruby and Sapphire, Ed. by M. V. Klassen-Neklyudova and Kh. S. Bagdasarov (Nauka, Moscow, 1974) [in Russian].
G. Khantington, Usp. Fiz. Nauk 3, 461 (1961).
K. Peter, D. Lagerlof, A. H. Heuer, et al., J. Am. Ceram. Soc. 77, 385 (1994).
P. I. Antonov, E. N. Kolesnikova, V. M. Krymov, et al., Izv. Akad. Nauk SSSR, Ser. Fiz. 40, 1407 (1976).
G. A. Slack, J. Appl. Phys. 46, 89 (1975).
Yu. A. Burenkov, S. P. Nikanorov, and A. V. Stepanov, Fiz. Tverd. Tela (Leningrad) 12, 2428 (1970) [Sov. Phys. Solid State 12, 1940 (1970)].
V. B. Osvenskii, S. S. Shifrin, and M. G. Mil’vidskii, Izv. Akad. Nauk SSSR, Ser. Fiz. 37, 2356 (1973).
N. A. Verezub and A. I. Prostomolotov, Izv. Vyssh. Uchebn. Zaved., Mater. Elektron. Tekhn., No. 3, 28 (2000).
N. A. Verezub, M. G. Mil’vidskii, I. V. Paefilov, and A. I. Prostomolotov, Izv. Vyssh. Uchebn. Zaved., Mater. Elektron. Tekhn., No. 2, 52 (2001).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © S.I. Bakholdin, E.V. Galaktionov, E.A. Tropp, 2010, published in Zhurnal Tekhnicheskoĭ Fiziki, 2010, Vol. 80, No. 11, pp. 1–5.
Rights and permissions
About this article
Cite this article
Bakholdin, S.I., Galaktionov, E.V. & Tropp, E.A. Calculation of thermal stresses in profiled single crystals taking into account the temperature dependence of thermal expansion. Tech. Phys. 55, 1547–1552 (2010). https://doi.org/10.1134/S1063784210110010
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063784210110010