Class-jump phenomenon for physical symmetries in bi-dimensional space

N. Auffray, R. Bouchet, Y. Bréchet

Research output: Chapter in Book/Report/Conference proceedingConference PaperOther

4 Citations (Scopus)

Abstract

In condensed matter physics, tensors are used to model physical properties of materials. Some well known examples are elasticity which is modeled by a 4th-order tensor, or piezoelectricity by a 3rd-order tensor. Some tensors of higher orders might occur in theory of generalized continuum, for example, in Mindlin's strain-gradient elasticity [2], physical state of the material is described in each point using three tensors from 4th-order to 6th-order. Damage could also be modeled by an 8th-order tensor. When a complex behavior is studied the first step is to focus attention on its bi-dimensional version. Taking a complex problem at a lower level helps to better understand the physics of the behavior. But it has to be wondered in which measure the phenomenon studied is independent of the dimension of the working space. In this paper attention will be focused on the issue of symmetry classes of linear constitutive behavior, and it will be shown that, in 2D, anomalies could occur.

Original languageEnglish
Title of host publicationMechanics of Microstructured Solids
Subtitle of host publicationCellular Materials, Fibre Reinforced Solids and Soft Tissues
Pages1-11
Number of pages11
DOIs
Publication statusPublished - 2009
Externally publishedYes
EventConference on Mechanics of Microstructured Solids: Cellular Materials, Fibre Reinforced Solids and Soft Tissues 2008 - Torino, Italy
Duration: 10 Mar 200814 Mar 2008
Conference number: 11th

Publication series

NameLecture Notes in Applied and Computational Mechanics
Volume46 LNACM
ISSN (Print)1613-7736

Conference

ConferenceConference on Mechanics of Microstructured Solids: Cellular Materials, Fibre Reinforced Solids and Soft Tissues 2008
Abbreviated titleEUROMECH-MECAMAT 2008
CountryItaly
CityTorino
Period10/03/0814/03/08

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