Geodesic
Periodic contact problem for elastic complex infinite plate with nonhomogeneous fastening
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 2 (1989), pp. 35-41 
A. N. Kushbakov. Periodic contact problem for elastic complex infinite plate with nonhomogeneous fastening. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 2 (1989), pp. 35-41. http://geodesic.mathdoc.fr/item/UZERU_1989_2_a5/
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     title = {Periodic contact problem for elastic complex infinite plate with nonhomogeneous fastening},
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Voir la notice de l'article provenant de la source Math-Net.Ru

A contact problem is considered in the paper for elastic piece-homogeneous infinite plate, consisting of two half-infinite plates with different elastic constants and strengthened by the periodic system with finite elastic nonhomogeneous fastening right-angled diameter section. In order to solve the problem it has been brought to a system of singular integral equation with Gilbert nuclear, whith is solved by means of quadratic formulae of Gauss-Chebishova type.

[1] E. Kh. Grigoryan, G. V. Oganisyan, “Ob odnoi kontaktnoi zadache dlya kusochno-odnorodnoi plastiny s konechnymi stringerami”, Mezhvuz. sbornik nauchnykh trudov. Mekhanika, 3, Izd-vo EGU, Erevan, 1984, 130–137

[2] R. Muki, E. Sternberg, “Peredacha nagruzki ot rastyagivaemogo poperechnogo sterzhnya k polubeskonechnoi uprugoi plastine”, Tr. Amer.obsch. inzh.-mekh., ser. E, 1968, no. 4, 124–135

[3] G. V. Oganisyan, “Ob odnoi periodicheskoi kontaktnoi zadachi dlya kusochno-odnorodnoi beskonechnoi plastiny”, Prochnost, zhestkost i tekhnologichnost izdelii iz kompozitsionnykh materialov, Mater. 2-oi Vsesoyuz. nauch.-tekhn. konf., v. 3, 1984, 5–8

[4] I. S. Gradshtein, I. M. Ryzhik, Tablitsy integralov, GIMFL, M., 1963 | MR

[5] G. V. Oganisyan, A.N. Kushbakov, Kontaktnaya zadacha dlya uprugoi kusochno-odnorodnoi beskonechnoi plastiny s neodnorodnymi nakladkami, Tr. KhSh nauchnoi konferentsii molodykh uchenykh, Dep. VINITI 27.12.88, No 9073-V88, Izd-vo Inst. mekhaniki AN USSR, Kiev, 1984

[6] A. V. Baiko, L. N. Karpenko, “Ob integralnom uravnenii zadachi dlya uprugoi polosy s razrezom”, PMM, 51:6 (1987), 1035–1040