Computer Simulation of the Stress-Strain State of Functionally Graded Sandwich Plates and Shallow Shells of Complex Shape Resting on the Elastic Foundation

Author:

Shmatko T. V.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics,Statistics and Probability

Reference26 articles.

1. L. V. Kurpa, Method of R-Functions for the Solution of Linear Problems of Bending and Vibration of Shallow Shells [in Russian], NTU Press, Kharkov (2009).

2. L. V. Kurpa, O. S. Mazur, and T. V. Shmatko, Application of the R-Functions Theory to the Solution of Nonlinear Problems of Dynamics of Multilayer Plates [in Russian], “V Dele,” Ltd., Kharkov (2016).

3. L. V. Kurpa and T. V. Shmatko, “Investigation of free vibrations and stability of functionally graded three-layer plates by using the R-functions theory and variational methods,” Mat. Met. Fiz.-Mekh. Polya, 61, No. 1, 155–172 (2018); English translation: J. Math. Sci., 249, No. 3, 496–520 (2020); https://doi.org/10.1007/s10958-020-04955-2.

4. V. L. Rvachev, R-Functions Theory and Some of Its Applications [in Russian], Naukova Dumka, Kiev (1982).

5. A. Alibeigloo and K. M. Liew, “Free vibration analysis of sandwich cylindrical panel with functionally graded core using threedimensional theory of elasticity,” Compos. Struct., 113, 23–30 (2014); https://doi.org/10.1016/j.compstruct.2014.03.004.

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