Nonlocal multiscale modeling of deformation behavior of polycrystalline copper by second-order homogenization method

Makoto Uchida () and Yoshihisa Kaneko
Additional contact information
Makoto Uchida: Graduate School of Engineering, Osaka City University
Yoshihisa Kaneko: Graduate School of Engineering, Osaka City University

The European Physical Journal B: Condensed Matter and Complex Systems, 2019, vol. 92, issue 9, 1-11

Abstract: Abstract Engineering materials usually exhibit heterogeneity such as that observed in the polycrystalline structure of metals, and this heterogeneity affects the nonuniform deformation of a material. In this study, the micro- to macroscopic nonuniform deformation of polycrystalline copper specimen with a curved gage section is evaluated by a finite element method (FEM) simulation based on the second-order homogenization method (2nd-HM). The effects of the microstructure size and macroscopic stress gradient on the nonuniform deformation of the material are then investigated by comparing the simulation and experimental results. A two-dimensional plane strain polycrystalline microstructure was periodically applied to all the integration points in the macrostructure; the anisotropic deformation of the crystal grains is represented by the conventional crystalline plasticity constitutive equation. The computational results indicate that the interaction between nonuniform deformation on the micro and macroscopic scales induces a slight size effect in the material. However, the FEM simulation based on the 2nd-HM could not predict the decrease in the macroscopic strain concentration in the specimens with large crystalline grains, which was observed in the experimental studies, because of random strain localization resulting from the microscopic heterogeneity. Graphical abstract

Date: 2019
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1140/epjb/e2019-100231-4 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:eurphb:v:92:y:2019:i:9:d:10.1140_epjb_e2019-100231-4

Ordering information: This journal article can be ordered from
http://www.springer.com/economics/journal/10051

DOI: 10.1140/epjb/e2019-100231-4

Access Statistics for this article

The European Physical Journal B: Condensed Matter and Complex Systems is currently edited by P. Hänggi and Angel Rubio

More articles in The European Physical Journal B: Condensed Matter and Complex Systems from Springer, EDP Sciences
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().