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On the contact problem for a half-plane with finite elastic reinforcement. (English. Russian original) Zbl 0305.73015

J. Appl. Math. Mech. 34, 389-399 (1970); translation from Prikl. Mat. Mekh. 34, 412-421 (1970).

MSC:

74B99 Elastic materials
74H99 Dynamical problems in solid mechanics
74E30 Composite and mixture properties
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References:

[1] Arutiunian, N. Kh., Contact problem for a half-plane with elastic reinforcement, PMM, Vol. 32, N≗4 (1968)
[2] Lar’kin, Iu. I., Load transmission from a stiffener of finite length to an elastic plate, Stroit. Mekhan. i Raschet Sooruzh., N≗5 (1968)
[3] Bufler, H., Scheibe mit endlicher elastischer Versteifung, VDI-Forschungsschrift, N≗485, 44 (1961) · Zbl 0097.18403
[4] Nowacki, W., Thermoelasticity (1962), Izd. Akad. Nauk SSSR: Izd. Akad. Nauk SSSR Moscow, (Russian translation) · Zbl 0227.73008
[5] Carafoli, E., Aérodynamique des ailes d’avion, théorie et applications (1928), E. Chiron: E. Chiron Paris
[6] Kalandiia, A. I., On a certain direct method of solving the wing equation and its application in elasticity theory, Mat. Sb., N≗2 (1957)
[7] Popov, G. Ia., On the method of orthogonal polynomials in contact problems of the theory of elasticity, PMM, Vol. 33, N≗3 (1969)
[8] Gradshtein, I. S.; Ryzhik, I. M., Tables of Integrals, Sums, Series and Products (1962), Fizmatgiz: Fizmatgiz Moscow
[9] Popov, G. Ia., On a remarkable property of Jacobi polynomials, Ukr. Mat. Zhurnal, Vol. 20, N≗4 (1968)
[10] Bateman, H.; Erdélyi, A., Higher Transcendental Functions. Bessel Functions. Parabolic Cylinder Functions. Orthogonal Polynomials (1966), Nauka: Nauka Moscow, (Russian translation)
[11] Melan, E., Ein Beitrag zur Theorie geschweisster Verbindungen, Ing.-Arch., Vol. 3, N≗2 (1932) · Zbl 0004.27702
[12] Liusternik, L. A.; Chervonenkis, O. A.; Ia-npol’skii, A. R., Mathematical Analysis. Computation of Elementary Functions (1963), Fizmatgiz: Fizmatgiz Moscow
[13] Lanczos, C., Applied Analysis (1961), Fizmatgiz: Fizmatgiz Moscow, (Russian translation) · Zbl 0111.12403
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