Geodesic
Modelling of cracking in the strip of variable thickness
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 12 (2012) no. 2, pp. 95-102 
M. V. Mirsalimov. Modelling of cracking in the strip of variable thickness. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 12 (2012) no. 2, pp. 95-102. http://geodesic.mathdoc.fr/item/ISU_2012_12_2_a13/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The mathematical description of the model crack nucleation in a strip of variable thickness was conducted. Definition of the unknown parameters that characterize the nucleus crack is reduced to solving a system of singular integral equations. The condition that determines the critical value of external load at which cracking occurs was obtained.

[1] Panasyuk V. V., Mekhanika kvazikhrupkogo razrusheniya materialov, Nauk. dumka, Kiev, 1991, 416 pp.

[2] Uflyand Ya. S., Integralnye preobrazovaniya v zadachakh teorii uprugosti, Nauka, L., 1967, 420 pp. | MR

[3] Panasyuk V. V., Savruk M. P., Datsyshin A. P., Raspredelenie napryazhenii okolo treschin v plastinakh i obolochkakh, Nauk. dumka, Kiev, 1976, 443 pp. | MR

[4] Muskhelishvili N. I., Nekotorye osnovnye zadachi matematicheskoi teorii uprugosti, Nauka, M., 1966, 707 pp. | Zbl

[5] Mirsalimov V. M., Neodnomernye uprugoplasticheskie zadachi, Nauka, M., 1987, 256 pp. | Zbl