Abstract
A plane elastic problem for an inhomogeneous elastic layered body bounded by equidistant convex curves is considered. A numerical algorithm for solving the problem is proposed and implemented.
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REFERENCES
É. I. Grigolyuk and P. P. Chulkov, Stability and Vibrations of Three-Layered Shells [in Russian], Mashinostroenie, Moscow (1973).
V. V. Bolotin and Yu. N. Novichkov, Mechanics of Multilayered Structures [in Russian], Mashinostroenie, Moscow (1980).
A. A. Dudchenko, S. A. Lur'e, and I. F. Obraztsov, “ Anisotropic multilayered plates and shells, ” in: Advances in Science and Engineering, Ser. Mechanics of Solids [in Russian], Vol. 15, VINITI, Moscow (1983), pp. 3-86.
G. V. Ivanov, Theory of Plates and Shells [in Russian], Izd. Novosib. Univ., Novosibirsk (1980).
A. E. Alekseev, “ Equations of elastic deformation of a layer of variable thickness, ” in: Dynamics of Continuous Media (collected scientific papers) [in Russian], No. 81, Novosibirsk (1987), pp. 3-13.
Yu. M. Volchkov, L. A. Dergileva, and G. V. Ivanov, “ Numerical modeling of stress states in plane elastic problems by the layer method, ” Prikl. Mekh. Tekh. Fiz., 35, No. 6, 129-135 (1994).
A. E. Alekseev, “ Bending of a three-layered orthotropic beam, ” Prikl. Mekh. Tekh. Fiz., 36, No. 3, 158-166 (1995).
V. V. Alekhin, B. D. Annin, and A. G. Kolpakov, Synthesis of Layered Materials and Structures [in Russian], Institute of Hydrodynamics, Sib. Div., Acad. of Sci. of the USSR, Novosibirsk (1988).
V. Blaschke, Differential Geometry [Russian translation], ONTI, Moscow (1935).
S. K. Godunov, “ Numerical solution of boundary-value problems for systems of linear ordinary differential equations, ” Usp. Mat. Nauk, 16, No. 3, 171-174 (1961).s
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Alekseev, A.E., Alekhin, V.V. & Annin, B.D. Plane elastic problem for an inhomogeneous layered body. Journal of Applied Mechanics and Technical Physics 42, 1038–1042 (2001). https://doi.org/10.1023/A:1012526230237
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DOI: https://doi.org/10.1023/A:1012526230237