Maximum permissible forms of bending of isotropic flat homogeneous and hybrid polymetallic plates with lentil-shaped fixed contours

Yu. V. Nemirovskii<sup>ab

a</sup> Novosibirsk State Technical University
^b Khristianovich Institute of Theoretical and Applied Mechanics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk

Abstract: Using the classical kinematic hypotheses of Kirchhoff, the problems of the maximum permissible states of deformation of hybrid polymetallic plates under conditions of quasi-static loading by distributed transverse pressure are considered. Plates with lenticular forms of a fixed contour are considered when they are pinched and hinged. The topology of the arrangement of phase materials corresponds to layers of constant thickness that are pairwise symmetrical with respect to the median plane. A general resolving system of differential equations for various modifications of contours has been obtained and the corresponding procedures for numerical and analytical solutions have been developed for two main permissible states of limiting deformation: 1 - limiting elastic and 2 - pre-fracture states with various modifications of the forms of fixing the contour.

Keywords: hybrid polymetallic plates with lenticular fastenings of support contours, the main physical and mechanical characteristics of phase materials, Young's moduli, elastic limits, first (ultimate elastic) deformation, second (pre-fracture deformation), strength limits, loads and maximum permissible displacements under these conditions, criteria for comparing projects with different requirements, weight, cost, allowable loads, maximum allowable deformations.

Received: 10.02.2023
Revised: 06.06.2023
Accepted: 06.05.2023

DOI: 10.37972/chgpu.2023.55.1.008