Analytical expressions for odd-order anisotropic tensor dimension - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Comptes Rendus Mécanique Année : 2014

Analytical expressions for odd-order anisotropic tensor dimension

Résumé

According to the symmetries of the matter the number of coe cients needed to de ne a tensorial relation varies. Itis well-known that in linear elasticity the number of generic coe cients varies from 21 for a complete anisotropic material to 2 in case of isotropy. In a previous contribution, we provided analytical expressions that give the number of generic anisotropic coe cients in any anisotropic system for an even-order tensor. In the present note, we aim at extending the previous results to the case of odd-order tensors. As an illustration, the imension of any anisotropic system for third-order piezoelectricity tensors and of the fth-order coupling tensors of Mindlin's strain-gradient elasticity are determined.
Fichier principal
Vignette du fichier
CR_ParisBeijing_Auffray.pdf (351.52 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-00922063 , version 1 (23-12-2013)

Identifiants

Citer

Nicolas Auffray. Analytical expressions for odd-order anisotropic tensor dimension. Comptes Rendus Mécanique, 2014, 342 (5), pp.284-291. ⟨10.1016/j.crme.2014.01.012⟩. ⟨hal-00922063⟩
87 Consultations
304 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More