Linear elastic trusses leading to continua with exotic mechanical interactions

被引：178

作者：

Seppecher, Pierre ^{[1
]}

Alibert, Jean-Jacques ^{[1
]}

dell'Isola, Francesco ^{[1
]}

机构：

[1] Univ Toulon & Var, IMATH, Toulon, France

来源：

CONTINUUM MODELS AND DISCRETE SYSTEMS SYMPOSIA (CMDS-12) | 2011年 / 319卷

关键词：

EDGE CONTACT FORCES; GRADIENT THEORY; TENSOR-FIELDS; VIRTUAL POWER; CAUCHY FLUXES; STRESS; MODELS; THEOREM;

D O I：

10.1088/1742-6596/319/1/012018

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

We study the statics of some trusses, i.e. networks of nodes linked by linear springs. The trusses are designed in such a way that a few number of floppy modes are present and remain when considering the homogenized limit of the truss. We then obtain linear elastic materials with exotic mechanical interactions which cannot be described in the classical framework of Cauchy stress theory. For aim of simplicity, the structures described here are two-dimensional. The extension to the 3D case does not present any difficulty.

引用

页数：13

共 44 条

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