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Stress State Of Plate With Incisions Under The Action Of Oscillating Concentrated Forces


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1. Banerjee P. (1994) Boundary element method in engineering science, McGraw Hill, New York, London.Search in Google Scholar

2. Bonnet М. (1995), Integral equations and boundary elements. Mechanical application of solids and fluids (in French), CNRS Éditions / Éditions EYROLLES, Paris.Search in Google Scholar

3. Brebbia C., Telles J., Wrobel L. (1984), Boundary element techniques, Springer, New York.10.1007/978-3-642-48860-3Search in Google Scholar

4. Elbert Á., Laforgia A. (1986), Monotonicity properties of the zeros of Bessel functions, SIAM Journal on Mathematical Analysis, 17, 1483-1488.10.1137/0517106Search in Google Scholar

5. Eshkuvatov Z. K., Nik Long N. M. A., Abdulkawi M. (2009), Quadrature formula for approximating the singular integral of Cauchy type with unbounded weight function on the edges, Journal of Computational and Applied Mathematics, 233, 334–345.10.1016/j.cam.2009.07.034Search in Google Scholar

6. Guz A.M. Kubenko V., Chernenko M. (1978) The diffraction of elastic waves, Naukova Dumka, Kyiv.10.1007/BF00883678Search in Google Scholar

7. Kolm P., Rokhlin V. (2001), Numerical Quadratures for Singular and Hypersingular Integrals, Computers and Mathematics with Applications, 41, 327-352.10.1016/S0898-1221(00)00277-7Search in Google Scholar

8. Kubenko V. (1967) Dynamic stress concentration around an elliptical hole, Reports of the Academy of Sciences USSR, 3, 60-64.Search in Google Scholar

9. Kupradze V. (1963) Methods of potential in the theory of elasticity, Fizmatgiz, Moscow.Search in Google Scholar

10. Mikulich O. A. (2012), Stress state of plate elements with rigid inclusion of arbitrary shape at a steady-state oscillations, Naukovi notatky, 39, 118-123.Search in Google Scholar

11. Mikulich O. A., Maksymovych V. M. (2011), Study of interaction holes in infinity plates at a steady-state oscillations, Naukovi notatky, 33, 164-169.Search in Google Scholar

12. Mow C., Mente L. (1963): Dynamic stresses and displacements around cylindrical discontinuities due to plane harmonic shear waves, Journal of Applied Mechanics, 30, 598–604.10.1115/1.3636625Search in Google Scholar

13. Mushelishvili N.(1966) Some selected problems of mathematical theory of elasticity, Moscow.Search in Google Scholar

14. Panasyuk V., Savruk M., Nazarchuk Z. (1984) The method of singular integral equations in two-dimensional diffraction problems, Naukova Dumka, Kyiv.Search in Google Scholar

15. Pao Y., Mow C. (1971) Diffraction of elastic waves and dynamic stress concentration, Crane Russak, New York.Search in Google Scholar

16. Savin G. N. (1968), Distribution of the stresses near the holes, Naukova Dumka, Kyiv.Search in Google Scholar

17. Sherman D. (1962) The method of integral equations in the plane and spatial problems of static elasticity theory, Proceedings of the All-Union Congress on Theoretical and Applied Mechanics, 405-467.Search in Google Scholar

18. Sidi A. (2006), Extension of a class of periodizing variable transformations for numerical integration, Mathematics of Computation, 75(253), 327–343.10.1090/S0025-5718-05-01773-4Search in Google Scholar

19. Sladek J., Sladek V., Atluri S. N. (2000), Local boundary integral equation method for solving problem of elasticity with nonhomogeneous material properties, Computational mechanics, 24, 456-462.10.1007/s004660050005Search in Google Scholar

20. Timoshenko S. (1967) Fluctuations in engineering, Nauka, Moscow.Search in Google Scholar