  In the development of materials for structural purposes, the main focus is on
the advantageous combination of mechanical and volume-mass properties. Due to
the development of production, solid plates are increasingly being replaced by
modern composite materials with improved properties, one of the varieties of
which is layered composites with a honeycomb core. The most widespread are
three-layer plates with solid face layers and a hexagonal honeycomb core.
However, with the development of new technologies, including 3D printing,
honeycombs with new geometries are gaining popularity, the mechanical
properties of which make it possible to obtain layered composites with improved
features. In this paper, three-layer plates with solid face layers and a
tetrachiral honeycomb core are investigated. The influence of discretization
(number of unit cells), relative density and thickness of the honeycomb core on
the stress state of three-layer composites subjected to static bending under
various boundary conditions is studied. Mathematical modeling is carried out
within the framework of the theory of elasticity by the finite element method
via three-dimensional modeling in the Comsol Multiphysics system, as well as
using algorithms developed by the author for analyzing the stress state of
multilayer plates with tetrachiral honeycombs by solving a plane problem of the
theory of elasticity. As a result, good agreement is shown between the
numerical results obtained using algorithms for solving a plane problem and via
three-dimensional finite element modeling in the Comsol Multiphysics system,
while the numerical results are qualitatively consistent with laboratory test
data.
