Dislocation-based crystal plasticity modeling and simulation for HCP metals considering evolution of twin-microstructure

Ruho Kondo, Yuichi Tadano, Kazuyuki Shizawa

Research output: Contribution to journalArticle

Abstract

In this study, a dislocation-based crystal plasticity model for HCP crystals considering evolution of twin-microstructure is newly developed. In order to represent an anisotropic glide of dislocation in HCP crystals, a conventional dislocation-crystal plasticity model for FCC crystals is extended to that for HCP one. Additionally, a new deformation twining model based on the phase-field theory is coupled with the above model through an order parameter and resolved shear stress. In this model, elastic strain energy on twin plane and anisotropic interfacial energy between matrix and twinned region are adopted in the Ginzburg-Landau free energy as the bulk energy and the gradient energy, respectively. Using the above models, uniaxial compression tests under plane strain condition for Mg single crystal with different crystal orientations are demonstrated by means of FEM for dislocation-based crystal plasticity analyses coupling with FDM for phase-field one. From the results of the present simulations, it is shown that the present model can reproduce an anisotropic plastic behavior of Mg single crystal. Moreover, lenticular shaped twins as reported in many experimental studies are reproduced by a-axis compression tests.

Original languageEnglish
Pages (from-to)1157-1172
Number of pages16
JournalNihon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A
Volume78
Issue number792
DOIs
Publication statusPublished - 2012

Fingerprint

Dislocations (crystals)
Plasticity
Metals
Crystals
Microstructure
Single crystals
Frequency division multiplexing
Strain energy
Interfacial energy
Crystal orientation
Free energy
Shear stress
Compaction
Plastics
Finite element method

Keywords

  • Anisotropy
  • Crystal plasticity
  • Deformation twinning
  • Dislocation
  • Magnesium alloy
  • Numerical simulation
  • Phase-field method
  • Plasticity

ASJC Scopus subject areas

  • Mechanical Engineering
  • Mechanics of Materials
  • Materials Science(all)

Cite this

@article{a5db48b9da984ddd8c71dd0c2b5bab8d,
title = "Dislocation-based crystal plasticity modeling and simulation for HCP metals considering evolution of twin-microstructure",
abstract = "In this study, a dislocation-based crystal plasticity model for HCP crystals considering evolution of twin-microstructure is newly developed. In order to represent an anisotropic glide of dislocation in HCP crystals, a conventional dislocation-crystal plasticity model for FCC crystals is extended to that for HCP one. Additionally, a new deformation twining model based on the phase-field theory is coupled with the above model through an order parameter and resolved shear stress. In this model, elastic strain energy on twin plane and anisotropic interfacial energy between matrix and twinned region are adopted in the Ginzburg-Landau free energy as the bulk energy and the gradient energy, respectively. Using the above models, uniaxial compression tests under plane strain condition for Mg single crystal with different crystal orientations are demonstrated by means of FEM for dislocation-based crystal plasticity analyses coupling with FDM for phase-field one. From the results of the present simulations, it is shown that the present model can reproduce an anisotropic plastic behavior of Mg single crystal. Moreover, lenticular shaped twins as reported in many experimental studies are reproduced by a-axis compression tests.",
keywords = "Anisotropy, Crystal plasticity, Deformation twinning, Dislocation, Magnesium alloy, Numerical simulation, Phase-field method, Plasticity",
author = "Ruho Kondo and Yuichi Tadano and Kazuyuki Shizawa",
year = "2012",
doi = "10.1299/kikaia.78.1157",
language = "English",
volume = "78",
pages = "1157--1172",
journal = "Nihon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A",
issn = "0387-5008",
publisher = "Japan Society of Mechanical Engineers",
number = "792",

}

TY - JOUR

T1 - Dislocation-based crystal plasticity modeling and simulation for HCP metals considering evolution of twin-microstructure

AU - Kondo, Ruho

AU - Tadano, Yuichi

AU - Shizawa, Kazuyuki

PY - 2012

Y1 - 2012

N2 - In this study, a dislocation-based crystal plasticity model for HCP crystals considering evolution of twin-microstructure is newly developed. In order to represent an anisotropic glide of dislocation in HCP crystals, a conventional dislocation-crystal plasticity model for FCC crystals is extended to that for HCP one. Additionally, a new deformation twining model based on the phase-field theory is coupled with the above model through an order parameter and resolved shear stress. In this model, elastic strain energy on twin plane and anisotropic interfacial energy between matrix and twinned region are adopted in the Ginzburg-Landau free energy as the bulk energy and the gradient energy, respectively. Using the above models, uniaxial compression tests under plane strain condition for Mg single crystal with different crystal orientations are demonstrated by means of FEM for dislocation-based crystal plasticity analyses coupling with FDM for phase-field one. From the results of the present simulations, it is shown that the present model can reproduce an anisotropic plastic behavior of Mg single crystal. Moreover, lenticular shaped twins as reported in many experimental studies are reproduced by a-axis compression tests.

AB - In this study, a dislocation-based crystal plasticity model for HCP crystals considering evolution of twin-microstructure is newly developed. In order to represent an anisotropic glide of dislocation in HCP crystals, a conventional dislocation-crystal plasticity model for FCC crystals is extended to that for HCP one. Additionally, a new deformation twining model based on the phase-field theory is coupled with the above model through an order parameter and resolved shear stress. In this model, elastic strain energy on twin plane and anisotropic interfacial energy between matrix and twinned region are adopted in the Ginzburg-Landau free energy as the bulk energy and the gradient energy, respectively. Using the above models, uniaxial compression tests under plane strain condition for Mg single crystal with different crystal orientations are demonstrated by means of FEM for dislocation-based crystal plasticity analyses coupling with FDM for phase-field one. From the results of the present simulations, it is shown that the present model can reproduce an anisotropic plastic behavior of Mg single crystal. Moreover, lenticular shaped twins as reported in many experimental studies are reproduced by a-axis compression tests.

KW - Anisotropy

KW - Crystal plasticity

KW - Deformation twinning

KW - Dislocation

KW - Magnesium alloy

KW - Numerical simulation

KW - Phase-field method

KW - Plasticity

UR - http://www.scopus.com/inward/record.url?scp=84866000122&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84866000122&partnerID=8YFLogxK

U2 - 10.1299/kikaia.78.1157

DO - 10.1299/kikaia.78.1157

M3 - Article

VL - 78

SP - 1157

EP - 1172

JO - Nihon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A

JF - Nihon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A

SN - 0387-5008

IS - 792

ER -