Models and parameters of Cosserat hexagonal lattices with chiral microstructure

Abstract

Abstract The article develops a structural approach to construction of Cosserat lattice models with chiral microstructure. A variant of the phenomenological potential of connecting cites (particles) of the lattice has been introduced. The parameters of this potential have been found for special cases of complex connections of finite-sized particles and complex beam compounds. Based on the potential, a discrete model and a long-wavelength continuum chiral model have been elaborated. Expression of macroparameters, in particular, the Poisson’s ratio, through the parameters of the phenomenological potential has been found. The dependence of macroparameters on the parameters of the microstructure has been obtained for chiral hexagonal lattices composed of finite-sized particles with complex connections and composite beam compounds.