## 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 language | English |
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Title of host publication | Mechanics of Microstructured Solids |

Subtitle of host publication | Cellular Materials, Fibre Reinforced Solids and Soft Tissues |

Pages | 1-11 |

Number of pages | 11 |

DOIs | |

Publication status | Published - 2009 |

Externally published | Yes |

Event | Conference on Mechanics of Microstructured Solids: Cellular Materials, Fibre Reinforced Solids and Soft Tissues 2008 - Torino, Italy Duration: 10 Mar 2008 → 14 Mar 2008 Conference number: 11th |

### Publication series

Name | Lecture Notes in Applied and Computational Mechanics |
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Volume | 46 LNACM |

ISSN (Print) | 1613-7736 |

### Conference

Conference | Conference on Mechanics of Microstructured Solids: Cellular Materials, Fibre Reinforced Solids and Soft Tissues 2008 |
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Abbreviated title | EUROMECH-MECAMAT 2008 |

Country | Italy |

City | Torino |

Period | 10/03/08 → 14/03/08 |