• français
    • English
    français
  • Login
Help
View Item 
  •   Home
  • Laboratoire Angevin de Mécanique, Procédés et InnovAtion (LAMPA)
  • View Item
  • Home
  • Laboratoire Angevin de Mécanique, Procédés et InnovAtion (LAMPA)
  • View Item
JavaScript is disabled for your browser. Some features of this site may not work without it.

An affine formulation for the self-consistent modeling of elasto-viscoplastic heterogeneous materials based on the translated field method

Article dans une revue avec comité de lecture
Author
ccMAREAU, Charles
206863 Laboratoire des Arts et Métiers ParisTech d'Angers - Procédés Matériaux Durabilité [LAMPA - PMD]
BERBENNI, Stéphane
178323 Laboratoire d'Etude des Microstructures et de Mécanique des Matériaux [LEM3]

URI
http://hdl.handle.net/10985/9494
DOI
10.1016/j.ijplas.2014.08.011
Date
2015
Journal
International Journal of Plasticity

Abstract

The modeling of heterogeneous materials with an elasto-viscoplastic behavior is generally complex because of the differential nature of the local constitutive law. Indeed, the resolution of the heterogeneous problem involves space-time couplings which are generally difficult to estimate. In the present paper, a new homogenization model based on an affine linearization of the viscoplastic flow rule is proposed. First, the heterogeneous problem is written in the form of an integral equation. The purely thermoelastic and purely viscoplastic heterogeneous problems are solved independently using the self-consistent approximation. Using translated field techniques, the solutions of the above problems are combined to obtain the final self-consistent formulation. Then, some applications concerning two-phase fibre-reinforced composites and polycrystalline materials are presented. When compared to the reference solutions obtained from a FFT spectral method, a good description of the overall response of heterogeneous materials is obtained with the proposed model even when the viscoplastic flow rule is highly non-linear. Thanks to this approach, which is entirely formulated in the real-time space, the present model can be used for studying the response of heterogeneous materials submitted to complex thermomechanical loading paths with a good numerical efficiency.

Files in this item

Name:
LAMPA_IJP_MAREAU_2015.pdf
Size:
673.0Kb
Format:
PDF
View/Open

Collections

  • Laboratoire Angevin de Mécanique, Procédés et InnovAtion (LAMPA)

Related items

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

  • Self-consistent modelling of heterogeneous materials with an elastic-viscoplastic behavior: Application to polycrystalline agregates 
    Communication sans acte
    ccMAREAU, Charles; BERBENNI, Stéphane (Otto-von-Guericke-Universität, 2015)
    The self-consistent scheme is a common homogenization method that was developed to connect local deformation mechanisms to the overall behavior of heterogeneous disordered materials. In the past decades, many efforts have ...
  • Modélisation autocohérente des matériaux hétérogènes élasto-viscoplastiques: une approche à champs translatés 
    Communication sans acte
    ccMAREAU, Charles; BERBENNI, Stéphane (2014)
    La méthode autocohérente [1] est un des outils permettant de faire le lien entre les mécanismes de déformation à l'échelle locale et le comportement macroscopique effectif. Si la méthode autocohérente a été initialement ...
  • Lattice strain measurements using synchrotron diffraction to calibrate a micromechanical modeling in a ferrite–cementite steel 
    Article dans une revue avec comité de lecture
    TAUPIN, Vincent; BERBENNI, Stéphane; OUAHAB, Razane; BOUAZIZ, Olivier; ccBERVEILLER, Sophie; ccPESCI, Raphaël (Elsevier, 2013)
    In situ tensile tests were performed at room temperature on a ferrite–cementite steel specifically designed for this study. The evolution of the average stress in ferrite during loading was analyzed by X-ray diffraction.Lattice ...
  • Estimating single-crystal elastic constants of polycrystalline β metastable titanium alloy: A Bayesian inference analysis based on high energy X-ray diffraction and micromechanical modeling 
    Article dans une revue avec comité de lecture
    PURUSHOTTAM RAJ PUROHIT, Ravi Raj Purohit; RICHETON, Thiebaud; BERBENNI, Stephane; GERMAIN, Lionel; GEY, Nathalie; CONNOLLEY, Thomas; CASTELNAU, Olivier (Elsevier, 2021)
    A two-phase near- beta titanium alloy (Ti–10V–2Fe–3Al, or Ti-1023) in its as-forged state is employed to illustrate the feasibility of a Bayesian framework to identify single-crystal elastic constants (SEC). High Energy ...
  • High Cycle Fatigue Strength of Punched Thin Fe-Si Steel Sheets 
    Article dans une revue avec comité de lecture
    DEHMANI, Helmi; ccPALIN-LUC, Thierry; ccMAREAU, Charles; KOECHLIN, Samuel; ccBRUGGER, Charles (2016)
    Some parts of electrical machines are built from stacks of thin steel sheets, for which the coarse grain microstructure allows for minimizing magnetic losses. The fabrication process of these parts usually involves punching ...

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