Micromechanics based 3D framework with second-order damage tensors

Abstract : The harmonic product of tensors—leading to the concept of harmonic factorization—has been defined in a previous work (Olive et al, 2016). In the practical case of 3D crack density measurements on thin walled structures, this mathematical tool allows us to factorize the harmonic (irreducible) part of the fourth-order damage tensor as an harmonic square: an exact harmonic square in 2D, an harmonic square over the set of so-called mechanically accessible directions for measurements in the 3D case. The corresponding micro-mechanics framework based on second—instead of fourth— order damage tensors is derived and an illustrating example is provided.
Liste complète des métadonnées


https://hal.archives-ouvertes.fr/hal-01529452
Contributeur : Rodrigue Desmorat <>
Soumis le : jeudi 15 juin 2017 - 19:16:25
Dernière modification le : mercredi 28 juin 2017 - 01:13:00

Fichiers

DDOK2017-v18-hal.pdf
Fichiers produits par l'(les) auteur(s)

Identifiants

  • HAL Id : hal-01529452, version 2
  • ARXIV : 1706.00845

Citation

Rodrigue Desmorat, Boris Desmorat, Marc Olive, Boris Kolev. Micromechanics based 3D framework with second-order damage tensors. 2017. <hal-01529452v2>

Partager

Métriques

Consultations de
la notice

87

Téléchargements du document

15