Comparison of calculation methods for plates on a multilayer base / A. S. Solodovnikov. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2015. № 3. P. 69-72 [Moscow Univ. Mech. Bulletin. Vol. 72, N 2, 2017. P. 75-78].

An analytical method to solve the bending problem for an elastic slab resting on an elastic multilayered half-space is considered. This method is based on the application of integral transforms. The slab is modeled according to the Kirchhoff–Love theory of thin plates. The method is compared with a finite element method. A number of numerical results are discussed for the case when the elasticity theory equations are used to model the slab behavior and are compared with the solution obtained on the basis of the thin plate theory. A computer program was developed to specify the stress-strain state of structures considered in this paper.

Key words: theory of elasticity, thin plate theory, multilayered half-space, finite element method.