• français
    • English
    français
  • Login
Help
View Item 
  •   Home
  • Laboratoire d'Etude des Microstructures et de Mécanique des Matériaux (LEM3)
  • View Item
  • Home
  • Laboratoire d'Etude des Microstructures et de Mécanique des Matériaux (LEM3)
  • View Item
JavaScript is disabled for your browser. Some features of this site may not work without it.

Investigation of the competition between void coalescence and macroscopic strain localization using the periodic homogenization multiscale scheme

Article dans une revue avec comité de lecture
Author
ZHU, Jianchang
ccBEN BETTAIEB, Mohamed
ccABED-MERAIM, Farid 
178323 Laboratoire d'Etude des Microstructures et de Mécanique des Matériaux [LEM3]
243747 Labex DAMAS

URI
http://hdl.handle.net/10985/19117
DOI
10.1016/j.jmps.2020.104042
Date
2020
Journal
Journal of the Mechanics and Physics of Solids

Abstract

In most voided metallic materials, the failure process is often driven by the competition between the phenomena of void coalescence and plastic strain localization. This paper proposes a new numerical approach that allows an accurate description of such a competition. Within this strategy, the ductile solid is assumed to be made of an arrangement of periodic voided unit cells. Each unit cell, assumed to be representative of the voided material, may be regarded as a heterogeneous medium composed of two main phases: a central primary void surrounded by a metal matrix, which can itself be assumed to be voided. The mechanical behavior of the unit cell is then modeled by the periodic homogenization multiscale scheme. To predict the occurrence of void coalescence and macroscopic strain localization, the above multiscale scheme is coupled with several relevant criteria and indicators (among which the bifurcation approach and an energy-based coalescence criterion). The proposed approach is used for examining the occurrence of failure under two loading configurations: loadings under proportional stressing (classically used in unit cell computations to study the effect of stress state on void growth and coalescence), and loadings under proportional in-plane strain paths (traditionally used for predicting forming limit diagrams). It turns out from these numerical investigations that macroscopic strain localization acts as precursor to void coalescence when the unit cell is proportionally stressed. However, for loadings under proportional in-plane strain paths, only macroscopic strain localization may occur, while void coalescence is not possible. Meanwhile, the relations between the two configurations of loading are carefully explained within these two failure mechanisms. An interesting feature of the proposed numerical strategy is that it is flexible enough to be applied for a wide range of void shapes, void distributions, and matrix mechanical behavior. To illustrate the broad applicability potential of the approach, the effect of secondary voids on the occurrence of macroscopic strain localization is investigated. The results of this analysis reveal that the presence of secondary voids promotes the occurrence of macroscopic strain localization, especially for positive strain-path ratios.

Files in this item

Name:
LEM3_JMPS_2020_BENBETTAIEB
Size:
1.310Mb
Format:
PDF
Description:
Main article
Embargoed until:
2020-04-01
View/Open

Collections

  • Laboratoire d'Etude des Microstructures et de Mécanique des Matériaux (LEM3)

Related items

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

  • Numerical investigation of the ductility limit of perforated sheets 
    Communication sans acte
    ZHU, Jianchang; ccBEN BETTAIEB, Mohamed; ccABED-MERAIM, Farid  (2018)
    Perforated sheets are widely used in automotive, architecture, pollution control, and other fields. Because perforated sheets are lightweight and aesthetically attractive, and also allow specific elements such as water, ...
  • Numerical investigation of necking in perforated sheets using the periodic homogenization approach 
    Article dans une revue avec comité de lecture
    ZHU, Jianchang; ccBEN BETTAIEB, Mohamed; ccABED-MERAIM, Farid  (Elsevier, 2020)
    Due to their attractive properties, perforated sheets are increasingly used in a number of industrial applications, such as automotive, architecture, pollution control, etc. Consequently, the accurate modeling of the ...
  • A comparative study of three techniques for the computation of the macroscopic tangent moduli by periodic homogenization 
    Communication avec acte
    ZHU, Jianchang; ccBEN BETTAIEB, Mohamed; ccABED-MERAIM, Farid  (2019)
    The robust and efficient computation of the macroscopic tangent moduli represents a challenging numerical task in the process of the determination of the effective macroscopic properties of heterogeneous media. The aim of ...
  • Comparative study of three techniques for the computation of the macroscopic tangent moduli by periodic homogenization scheme 
    Article dans une revue avec comité de lecture
    ZHU, Jianchang; ccBEN BETTAIEB, Mohamed; ccABED-MERAIM, Farid  (Springer Verlag, 2020)
    In numerical strategies developed for determining the efective macroscopic properties of heterogeneous media, the efcient and robust computation of macroscopic tangent moduli represents an essential step to achieve. Indeed, ...
  • Prediction of Localized Necking in Polycrystalline Aggregates Based on Periodic Homogenization 
    Communication avec acte
    ZHU, Jianchang; ccBEN BETTAIEB, Mohamed; ccABED-MERAIM, Farid  (K. Wisniewski; T. Burczynski, 2018)
    Ductile failure is the main mechanism that limits the formability of thin metal sheets during forming processes. In the current contribution, ductile failure is assumed to be solely induced by the occurrence of localized ...

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