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Research Papers

Strain-Hardening Model of Dual-Phase Steel With Geometrically Necessary Dislocations

[+] Author and Article Information
Chuang Ren

Mem. ASME
Department of Engineering Mechanics
and Innovation Center for Advanced
Ship and Deep-Sea Exploration,
Shanghai Jiao Tong University,
No. 800 Dongchuan Road,
Shanghai 200240, China
e-mail: elton-chuang.ren@sjtu.edu.cn

Wen Jiao Dan

Associate Professor
Mem. ASME
Department of Engineering Mechanics
and Innovation Center for Advanced
Ship and Deep-Sea Exploration,
Shanghai Jiao Tong University,
No. 800 Dongchuan Road,
Shanghai 200240, China
e-mail: wjdan@sjtu.edu.cn

Yong Sheng Xu

Mem. ASME
Department of Engineering Mechanics
and Innovation Center for Advanced
Ship and Deep-Sea Exploration,
Shanghai Jiao Tong University,
No. 800 Dongchuan Road,
Shanghai 200240, China
e-mail: xuyongsheng@sjtu.edu.cn

Wei Gang Zhang

Mem. ASME
Department of Engineering Mechanics
and Innovation Center for Advanced
Ship and Deep-Sea Exploration,
Shanghai Jiao Tong University,
No. 800 Dongchuan Road,
Shanghai 200240, China
e-mail: wgzhang@sjtu.edu.cn

1Corresponding author.

Contributed by the Materials Division of ASME for publication in the JOURNAL OF ENGINEERING MATERIALS AND TECHNOLOGY. Manuscript received September 29, 2017; final manuscript received January 21, 2018; published online April 6, 2018. Assoc. Editor: Vikas Tomar.

J. Eng. Mater. Technol 140(3), 031009 (Apr 06, 2018) (11 pages) Paper No: MATS-17-1285; doi: 10.1115/1.4039506 History: Received September 29, 2017; Revised January 21, 2018

The strain-hardening behavior of metal during the uniaxial tension can be treated as the competing result of generation and annihilation of statistically stored dislocations (SSDs). Geometrically necessary dislocations (GNDs) are generated to accommodate a lattice mismatch and maintain deformation compatibility in dual-phase (DP) steels because of the heterogeneous deformation of the microstructure. In this study, a dislocation-based strain-hardening model that encompasses GNDs was developed to describe the mechanical properties of dual-phase steel. The GNDs were obtained based on a cell model of uniaxial deformation and the SSDs were calculated using a dynamic recovery model. The strain of each phase is a nonlinear function of the overall material strain obtained by the point-interpolation method (PIM). The proposed strain-hardening model was verified by using commercially produced DP600 steel. The calculated results obtained with GNDs are able to predict more precisely the experimental data than that without. The effects of martensite volume fraction and grain size on the strain-hardening behaviors of individual phases and material were studied.

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Figures

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Fig. 1

The cell model of DP steels: (a) the cubical cell and (b) the cylindrical cell

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Fig. 2

Schematic representation of symmetry cross-sectional plane: (a) mismatch of deformation of cell II, (b) mismatch of deformation of cell IV, and (c) mismatch of deformation along the martensite particle boundary of DP steels cell

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Fig. 3

Schematic of indentation deformation: (a) the GNDs array in ferrite matrix; (b) the local amplification at ri of (a) and (c); and (c) the GNDs array in martensite matrix

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Fig. 4

The dimensions of DP600 sample for in situ tensile test (mm)

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Fig. 7

Strain-hardening rate and exponent of DP steel: (a) strain-hardening rate and (b) strain-hardening exponent

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Fig. 8

Dislocation density of individual phase: (a) ferrite and (b) martensite

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Fig. 6

True stress–strain curves of material

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Fig. 9

Compared with the predictive data and experimental data

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Fig. 10

The stress of individual phases: (a) ferrite and (b) martensite

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Fig. 11

Plastic strain gradient and coefficient function

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Fig. 12

Calculated results with different martensite volume fraction: (a) GND density, (b) plastic strain gradient, (c) coefficient function, (d) stress–strain of ferrite, (e) stress–strain of material, (f) stress–strain of martensite, (g) strain-hardening rate of material, and (h) strain-hardening exponent of material

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Fig. 14

Calculated results of different ferrite grain size: (a) SSD density of ferrite, (b) GND density of ferrite, (c) stress–strain of ferrite, (d) stress–strain of material, (e) strain-hardening rate of material, and (f) strain-hardening exponent of material

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Fig. 13

Calculated results with different martensite grain size: (a) SSD density of martensite, (b) GND density of ferrite, (c) plastic strain gradient of ferrite, (d) stress–strain of ferrite, (e) stress–strain of martensite, (f) stress–strain of material, (g) strain-hardening rate of material, and (h) strain-hardening exponent of material

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Fig. 5

Strain curves of individual phase: (a) ferrite and (b) martensite

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