Stress strain state of thin heterogeneous plates resting on Winkler elastic foundation

Keywords

mathematical model, average elastic modulus, thin orthotropic plates, method of solution, coordinate and force functions, origin points, edge and surface nodes.

Cite as

Onyshko L. Yo., Zdolbitska N. V., Delyavskyi М. V., and Kravets V. S. Stress strain state of thin heterogeneous plates resting on Winkler elastic foundation. Physicochemical Mechanics of Materials. 2025. 61(4), 039-045.

https://doi.org/10.15407/pcmm2025.04.039

Abstract

The elastic equilibrium of thin iron-concrete plates resting on Winkler elastic foundation is investigated. Plates are considered as homogeneous and orthotropic ones with average Huber’s elastic modulus. The method for solving such plates is constructed. The procedure of generation of edge and surface nodes is suggested too. The method provides high accuracy and effectiveness of solution. The analytical results are in good agreements with numerical results obtained using Package “LIRA”. This method can be also used for orthotropic convex plates of arbitrary configuration.

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