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A. I. Lur'e, “Toward a theory of thick plates,” Prikl. Mat. Mekh.,6, No. 2–3, 151–168 (1942).
O. K. Aksentyan and I. I. Vorovich, “Stress state of a thin slab,” ibid.,27, No. 6, 1057–1074 (1963).
I. I. Vorovich, “Some results and problems in the asymptotic theory of plates and shells,” Materials of the First All-Union Conference on the Theory and Numerical Methods of Design of Plates and Shells, Tbilisi (1975), pp. 51–149.
A. L. Gol'denveizer, Theory of Thin Elastic Shells [in Russian], Nauka, Moscow (1976).
A. L. Gol'denveizer, Yu. D. Kaplunov, and E. V. Nol'de, “Asymptotic analysis and refinement of theories of plates and shells of the Timoshenko—Reissner type,” Izv. Akad. Nauk SSSR Mekh. Tverd. Tela, No. 6, 124–138 (1990).
L. G. Donnell, Beams, Plates, and Shells [Russian translation], Nauka, Moscow (1982).
V. M. Aleksandrov and S. M. Mkhitaryan, Contact Problems for Bodies with Thin Coatings and Interlayers [in Russian], Nauka, Moscow (1983).
É. I. Grigolyuk and V. M. Tolkachev, Contact Problems of the Theory of Plates and Shells [in Russian], Mashinostroenie, Moscow (1980).
I. A. Prokopishin and D. G. Khlebnikov, “Plane strain of a plate with a cover plate on one or both sides,” Mat. Metody Fiz.-Mekh. Polya,27, 99–102 (1988).
E. V. Kovalenko, “Refined equations of the deformation of elastic plates,” Prikl. Mekh.,25, No. 10, 111–116 (1989).
V. M. Aleksandrov, S. A. Grishin, and E. V. Kovalenko, “Contact interaction of a thick slab with a thick elastic layer,” Izv. Akad. Nauk SSSR Mekh. Tverd. Tela, No. 5, 64–69 (1985).
E. V. Kovalenko and I. A. Duplyakin, “Refined equations of the dynamic deformation of thin plates,” in: Mathematical Methods and the Theory of Elasticity and Hydroaeromechanics [in Russian], Izd-vo DGU, Dnepropetrovsk (1987), pp. 74–80.
G. I. Petrashen', “Toward a theory of the vibration of thin plates,” Uch. Zap. Leningr. Gos. Univ. Ser. Mat. Nauk,24, No. 149, 172–249 (1951).
Ya. S. Uflyand, “Wave propagation in the transverse vibration of rods and plates,” Prikl. Mat. Mekh.,12, No. 3, 287–300 (1948).
E. V. Kovalenko, “Contact problems for bodies with coatings (formulation of the problem and methods of solution),” Izv. Akad. Nauk Arm. SSR Mekh.,41, No. 1, 40–50 (1988).
Institute of Problems of Mechanics, Russian Academy of Sciences, Moscow. Translated from Prikladnaya Mekhanika, Vol. 30, No. 6, pp. 80–87, June, 1994.
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Aleksandrov, V.M., Kovalenko, E.V. Refined equations of the theory of thin plates for dynamic problems. Int Appl Mech 30, 463–469 (1994). https://doi.org/10.1007/BF00847352
- Thin Plate
- Dynamic Problem