Geodesic
Closing of a crack in a plane with the help induced thermoelastic stress field
Matematičeskoe modelirovanie, Tome 16 (2004) no. 7, pp. 59-67 Cet article a éte moissonné depuis la source Math-Net.Ru

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On the basis of thermoelastics methods the mathematical description of model of closing of a crack in an elastic plane with the help of the induced thermal field is carried out. The definition of unknown contact stress and sizes of contact zones is reduced to the solution singular integral equation. With the help of algebraization procedure the integral equation is reduced to the system of the nonlinear algebraic equations, which is decided by a method of consecutive approximations. 
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R. I. Kadiev; V. M. Mirsalimov. Closing of a crack in a plane with the help induced thermoelastic stress field. Matematičeskoe modelirovanie, Tome 16 (2004) no. 7, pp. 59-67. http://geodesic.mathdoc.fr/item/MM_2004_16_7_a6/

[1] Finkel V. M., Fizicheskie osnovy tormozheniya razrusheniya, Metallurgiya, M., 1977, 360 pp.

[2] Parton V. Z., Morozov E. M., Mekhanika uprugoplasticheskogo razrusheniya, Nauka, M., 1985, 504 pp.

[3] Kadiev R. I., Mirsalimov V. M., “Vliyanie teplovogo istochnika na dinamiku rosta treschiny”, Vestnik DGU, 2001, no. 4, 69–73

[4] Karslou G., Eger D., Teploprovodnost tverdykh tel, Nauka, M., 1964, 487 pp.

[5] Muskhvelishvili N. I., Hekotorye osnovnye zadachi matematicheskoi teorii uprugosti, Nauka, M., 1966, 707 pp.

[6] Gakhov F. D., Kraevye zadachi, Nauka, M., 1977, 640 pp. | MR

[7] Kalandiya A. I., Matematicheskie metody dvumernoi uprugosti, Nauka, M., 1973, 304 pp. | MR

[8] Mirsalimov V. M., Neodnomernye uprugoplasticheskie zadachi, Nauka, M., 1987, 256 pp.