A linear-elastic heuristic-molecular modelling for plane isotropic micropolar and auxetic materials

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:224

Article

Casolo, Siro¹ 

[1] Politecn Milan, Dept ABC, Milan, Italy

关键词: Elasticity;    Isotropy;    Poisson's ratio;    Heuristic molecule;    Rigid element;    Micro-structure;    Spring network model;    Cosserat;    Auxetic;    RBSM;   

DOI  :  10.1016/j.ijsolstr.2021.111042

来源: Elsevier

【 摘 要 】

A discrete Lagrangian approach is the basis for modelling the macroscale elastic response of a solid material, which can be homogeneous as well as a periodic composite. The basic topology is a square heuristic molecule that is an assemblage of four rigid bodies with a definite shape bonded by elastic springs. This is the minimum unit cell, UC, that contains all the macroscopic mechanical properties of the solid material, object of study. The paper presents 4 unit cells, in progression from a basic molecule bonded by 2 types of central forces, to a refined Cosserat-auxetic molecule that is connected by 4 types of shear and central bond-springs. The emphasis is given to the isotropic response in relation to the value of the macroscopic Poisson ratio, and the four examples of UC topologies are presented showing their relationship to different materials at the macro-scale: from a rari-constant continuum, through a standard isotropic Cauchy continuum, up to an isotropic centre-symmetric auxetic Cosserat solid. (C) 2021 Elsevier Ltd. All rights reserved.

【 授权许可】

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