Investigation on position of kink band formation in single crystal of Mg-based LPSO phase using dislocation-based crystal plasticity simulation

研究成果: Article

2 引用 (Scopus)

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Two-dimensional FE simulations on prediction of position of kink band formation for a single crystal of a Mg-based LPSO phase are performed using a dislocation-based crystal plasticity model. We take account of activities of basal, prismatic and 2nd-pyramidal slip systems and assume that the LPSO phase is simply composed of HCP lattices for simplicity. However, a HCP crystal such as Mg and the LPSO crystal are distinguished by magnitude of critical resolved shear stresses of the slip systems and elimination of deformation twins. In addition, to express crystal defects in the kink band within the framework of continuum mechanics, GN dislocation density, SS dislocation density and GN incompatibility (disclination density) are incorporated into the hardening rule. We carry out the FE simulation. First, we assign initial dislocation density homogeneously to a specimen used in the simulation. The result shows that a kink band is formed in the center of the specimen and distributions of densities of isolated dislocations, dislocation pairs and disclinations are appropriately expressed by the present models of crystal defects. Next, introducing a heterogeneity into the distribution of the initial dislocation density, we investigate the effects on kink deformation in terms of total elastic strain energy. As a result, the position of a kink band formation changes so that the energy is structurally minimized.

元の言語English
ページ(範囲)220-227
ページ数8
ジャーナルZairyo/Journal of the Society of Materials Science, Japan
65
発行部数3
出版物ステータスPublished - 2016 3 1

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kink bands
Dislocations (crystals)
plastic properties
Plasticity
Crystal defects
Single crystals
Crystals
single crystals
crystals
Continuum mechanics
simulation
Strain energy
Crystal lattices
Hardening
Shear stress
crystal defects
slip
continuum mechanics
incompatibility
critical loading

ASJC Scopus subject areas

  • Materials Science(all)
  • Mechanical Engineering
  • Mechanics of Materials
  • Condensed Matter Physics

これを引用

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title = "Investigation on position of kink band formation in single crystal of Mg-based LPSO phase using dislocation-based crystal plasticity simulation",
abstract = "Two-dimensional FE simulations on prediction of position of kink band formation for a single crystal of a Mg-based LPSO phase are performed using a dislocation-based crystal plasticity model. We take account of activities of basal, prismatic and 2nd-pyramidal slip systems and assume that the LPSO phase is simply composed of HCP lattices for simplicity. However, a HCP crystal such as Mg and the LPSO crystal are distinguished by magnitude of critical resolved shear stresses of the slip systems and elimination of deformation twins. In addition, to express crystal defects in the kink band within the framework of continuum mechanics, GN dislocation density, SS dislocation density and GN incompatibility (disclination density) are incorporated into the hardening rule. We carry out the FE simulation. First, we assign initial dislocation density homogeneously to a specimen used in the simulation. The result shows that a kink band is formed in the center of the specimen and distributions of densities of isolated dislocations, dislocation pairs and disclinations are appropriately expressed by the present models of crystal defects. Next, introducing a heterogeneity into the distribution of the initial dislocation density, we investigate the effects on kink deformation in terms of total elastic strain energy. As a result, the position of a kink band formation changes so that the energy is structurally minimized.",
keywords = "Crystal plasticity, Dislocation, Finite element method, Kink band, LPSO phase, Magnesium alloy",
author = "Ryo Ueta and Kazuyuki Shizawa",
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T1 - Investigation on position of kink band formation in single crystal of Mg-based LPSO phase using dislocation-based crystal plasticity simulation

AU - Ueta, Ryo

AU - Shizawa, Kazuyuki

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N2 - Two-dimensional FE simulations on prediction of position of kink band formation for a single crystal of a Mg-based LPSO phase are performed using a dislocation-based crystal plasticity model. We take account of activities of basal, prismatic and 2nd-pyramidal slip systems and assume that the LPSO phase is simply composed of HCP lattices for simplicity. However, a HCP crystal such as Mg and the LPSO crystal are distinguished by magnitude of critical resolved shear stresses of the slip systems and elimination of deformation twins. In addition, to express crystal defects in the kink band within the framework of continuum mechanics, GN dislocation density, SS dislocation density and GN incompatibility (disclination density) are incorporated into the hardening rule. We carry out the FE simulation. First, we assign initial dislocation density homogeneously to a specimen used in the simulation. The result shows that a kink band is formed in the center of the specimen and distributions of densities of isolated dislocations, dislocation pairs and disclinations are appropriately expressed by the present models of crystal defects. Next, introducing a heterogeneity into the distribution of the initial dislocation density, we investigate the effects on kink deformation in terms of total elastic strain energy. As a result, the position of a kink band formation changes so that the energy is structurally minimized.

AB - Two-dimensional FE simulations on prediction of position of kink band formation for a single crystal of a Mg-based LPSO phase are performed using a dislocation-based crystal plasticity model. We take account of activities of basal, prismatic and 2nd-pyramidal slip systems and assume that the LPSO phase is simply composed of HCP lattices for simplicity. However, a HCP crystal such as Mg and the LPSO crystal are distinguished by magnitude of critical resolved shear stresses of the slip systems and elimination of deformation twins. In addition, to express crystal defects in the kink band within the framework of continuum mechanics, GN dislocation density, SS dislocation density and GN incompatibility (disclination density) are incorporated into the hardening rule. We carry out the FE simulation. First, we assign initial dislocation density homogeneously to a specimen used in the simulation. The result shows that a kink band is formed in the center of the specimen and distributions of densities of isolated dislocations, dislocation pairs and disclinations are appropriately expressed by the present models of crystal defects. Next, introducing a heterogeneity into the distribution of the initial dislocation density, we investigate the effects on kink deformation in terms of total elastic strain energy. As a result, the position of a kink band formation changes so that the energy is structurally minimized.

KW - Crystal plasticity

KW - Dislocation

KW - Finite element method

KW - Kink band

KW - LPSO phase

KW - Magnesium alloy

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