• français
    • English
    français
  • Login
Help
View Item 
  •   Home
  • Laboratoire Procédés et Ingénierie en Mécanique et Matériaux (PIMM)
  • View Item
  • Home
  • Laboratoire Procédés et Ingénierie en Mécanique et Matériaux (PIMM)
  • View Item
JavaScript is disabled for your browser. Some features of this site may not work without it.

Generalized Euclidean Distances for Elasticity Tensors

Article dans une revue avec comité de lecture
Author
MORIN, LEO
GILORMINI, Pierre
ccDERRIEN, Katell
86289 Laboratoire Procédés et Ingénierie en Mécanique et Matériaux [PIMM]

URI
http://hdl.handle.net/10985/18389
DOI
10.1007/s10659-019-09741-z
Date
2020
Journal
Journal of Elasticity

Abstract

The aim of this short paper is to provide, for elasticity tensors, generalized Euclidean distances that preserve the property of invariance by inversion. First, the elasticity law is expressed under a non-dimensional form by means of a gauge, which leads to an expression of elasticity (stiffness or compliance) tensors without units. Based on the difference between functions of the dimensionless tensors, generalized Euclidean distances are then introduced. A subclass of functions is proposed, which permits the retrieval of the classical log-Euclidean distance and the derivation of new distances, namely the arctan-Euclidean and power-Euclidean distances. Finally, these distances are applied to the determination of the closest isotropic tensor to a given elasticity tensor

Files in this item

Name:
PIMM_JE_2020_MORIN.pdf
Size:
857.7Kb
Format:
PDF
Description:
Article
Embargoed until:
2020-09-01
View/Open

Collections

  • Laboratoire Procédés et Ingénierie en Mécanique et Matériaux (PIMM)

Related items

Showing items related by title, author, creator and subject.

  • Designing isotropic composites reinforced by aligned transversely isotropic particles of spheroidal shape 
    Article dans une revue avec comité de lecture
    MORIN, Léo; GILORMINI, Pierre; ccDERRIEN, Katell (Elsevier Masson, 2018)
    The aim of this paper is to study the design of isotropic composites reinforced by aligned spheroidal particles made of a transversely isotropic material. The problem is investigated analytically using the framework of ...
  • Characterization and modeling of the damage mechanisms in ductile steel metal-matrix composites: Application to virtual forming 
    Article dans une revue avec comité de lecture
    ccTAJDARY, Pouya; ccDORHMI, Khaoula; ccMORIN, Léo; ccDERRIEN, Katell; HADJEM-HAMOUCHE, Zehoua; ccBRAHAM, Chedly; CHEVALIER, Jean-Pierre; ccCHEVALIER, Jean-Pierre (Elsevier BV, 2023-09)
    The aim of this work is to investigate the damage mechanisms and stiffness loss in Fe-TiB metal-matrix composites during plastic deformation. First, experimental results of interrupted tensile tests are performed to quantify ...
  • A homogenization-based damage model for stiffness loss in ductile metal-matrix composites(Article) 
    Article dans une revue avec comité de lecture
    DORHMI, Khaoula; MORIN, LEO; HADJEM-HAMOUCHE, Zehoua; CHEVALIER, Jean - Pierre; ccDERRIEN, Katell (Elsevier, 2020)
    The aim of this paper is to develop a homogenized model that permits to describe the progressive loss of stiffness observed experimentally on ductile metal-matrix composites subjected to mechanical loadings. A two-step ...
  • Experimental study and micromechanical modelling of the effective elastic properties of Fe–TiB2 composites 
    Article dans une revue avec comité de lecture
    DORHMI, Khaoula; HADJEM-HAMOUCHE, Zehoua; MORIN, Léo; BONNET, Frédéric; CHEVALIER, Jean-Pierre; ccDERRIEN, Katell (Elsevier BV, 2021)
    The aim of this paper is to investigate the effective properties of Fe–TiB2 composites obtained after hot or cold rolling. The elastic moduli of both hot and cold rolled composites are measured experimentally using several ...
  • Exact expressions of the uniaxial perfectly elasto-plastic stress wave and induced mechanical fields in the case of a finite impact: application to laser shock peening 
    Article dans une revue avec comité de lecture
    ccLAPOSTOLLE, Lucas; ccMORIN, Léo; ccDERRIEN, Katell; ccBERTHE, Laurent; ccCASTELNAU, Olivier (Cellule MathDoc/Centre Mersenne, 2023-12)
    This paper aims at providing exact expressions for the mechanical fields induced by Laser Shock Peening and comparing them to their numerical estimations. We use a uniaxial strain field hypothesis with an elastic perfectly ...

Browse

All SAMCommunities & CollectionsAuthorsIssue DateCenter / InstitutionThis CollectionAuthorsIssue DateCenter / Institution

Newsletter

Latest newsletterPrevious newsletters

Statistics

Most Popular ItemsStatistics by CountryMost Popular Authors

ÉCOLE NATIONALE SUPERIEURE D'ARTS ET METIERS

  • Contact
  • Mentions légales

ÉCOLE NATIONALE SUPERIEURE D'ARTS ET METIERS

  • Contact
  • Mentions légales