Structural and mathematical modeling of Cosserat lattices composed of particles of finite size and with complex connections

Open School-Conference of NIS Countries Ultrafine Grained and Nanostructured Materials

Vasiliev, A.A.^1 ; Pavlov, I.S.^2

Tver State University, 35 Sadoviy per., Tver

170102, Russia^1

Mechanical Engineering Research Institute, Russian Academy of Sciences, 85 Belinsky St., Nizhny Novgorod

603024, Russia^2

关键词: Complex connections;    Finite size;    Generalized continua;    Macro cells;    Micropolar;    Multi-field model;    Multi-field theories;    Square lattices;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/447/1/012079/pdf
DOI  :  10.1088/1757-899X/447/1/012079

来源: IOP

【 摘 要 】

This article provides a brief review of the work and discussion of the problems related to the discrete structural and generalized continuum models of the Cosserat lattices consisting of particles of finite size and with complex connections. A simple Cosserat lattice, a Cosserat lattice with auxetic properties, and a chiral microstructure are considered. Various approaches to constructing a hierarchy of multi-field models for materials having a square lattice are presented. These approaches are based on the introduction of macrocells of different types and, accordingly, on the use of a larger number of fields describing deformations. A combination of micropolar and multi-field theories with the development of models is discussed.