Models and auxetic characteristics of a simple cubic lattice of spherical particles

For a simple cubic lattice of spherical particles with three translational and three rotational degrees of freedom, using the method of structural modeling, discrete, long-wavelength continuum and higher-order gradient models are developed. The higher-order gradient model of such a medium is compare...

Full description

Saved in:
Bibliographic Details
Published in:Continuum mechanics and thermodynamics 2022-11, Vol.34 (6), p.1669-1685
Main Authors: Pavlov, I. S., Dmitriev, S. V., Vasiliev, A. A., Muravieva, A. V.
Format: Article
Language:English
Subjects:
Anisotropy
Classical and Continuum Physics
Comparative analysis
Composite materials
Cubic lattice
Deformation
Elastic properties
Engineering Thermodynamics
Heat and Mass Transfer
Lame functions
Mathematical models
Microstructure
Original Article
Parameters
Physics
Physics and Astronomy
Poisson's ratio
Prostheses
Ratios
Single crystals
Structural Materials
Theoretical and Applied Mechanics
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:For a simple cubic lattice of spherical particles with three translational and three rotational degrees of freedom, using the method of structural modeling, discrete, long-wavelength continuum and higher-order gradient models are developed. The higher-order gradient model of such a medium is compared with the Lame equations for cubic symmetry media. From this comparison, the relationships are established between the second-order elastic constants and the microstructure parameters of this medium such as the size of particles and the parameters of their force and torque interactions. Based on the dependences found, the relationship between Poisson’s ratios of the considered anisotropic material and its structural parameters is analyzed. It is found that, at some values of the microstructure parameters, this medium can manifest the auxetic properties.
ISSN:0935-1175
1432-0959
DOI:10.1007/s00161-022-01157-w