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Regular version of the site

Article

Auxetic Properties of Hiral Hexagonal Cosserat Lattices Composed of Finite-Sized Particles

Vasiliev A. A., Pavlov I.

This article is devoted to the study of auxetic properties of Cosserat hexagonal
lattices composed of finite-sized particles with complex connections. The
description of complex connections is given; their mathematical model is
elaborated and the properties are studied. The introduction of complex connections
enables one varying their structure and component parameters. Due to
that there arise possibilities for both simulation of nonchiral lattices with symmetrical
bonds and with a chiral microstructure and construction of lattices with
desired properties. The discrete and micropolar equations of the lattice are
obtained. As a result, the macroparameters are expressed in terms of the lattice
microparameters. The dependence of the Poisson’s ratio on the lattice microparameters
is obtained. It allows finding and analyzing parameters, for which the
lattice possesses auxetic properties. The importance of rotational degrees of
freedom of particles and chirality for the appearance of auxetic properties is
shown. For verification, the results of the calculation of the Poisson’s ratio
obtained on the basis of theoretically obtained relations are compared with the
results of numerical simulation of the stretching of the lattice.