A 3-D Simulation of Dislocation-Crystal Plasticity Considering GN Crystal Defects on Difference of Shear Band Formation between Single and Double Slips

In transformation-induced plasticity (TRIP) steel, the strain-induced martensitic transformation (SIMT) has a close relationship with the shear band formation. At a small length scale such as that of a crystal, the explicit analysis of the shear band structure with the formed microstructure is quite important for an adequate understanding of the SIMT. Here, a study on the microstructures formed by SIMT, related to shear band formation in both single and polycrystal TRIP steels, is presented. The constitutive equation for single crystal TRIP steel considering the transformation strain on each variant system is derived based on a rate-dependent crystal plasticity theory. To express the martensitic transformation, the cellular automata approach, including a transformation criterion acting as a local rule, is introduced. Numerical simulation is conducted with patterning processes of the martensitic phase at an infinite medium under the plane strain tension. It is found that the similar distributions of the plastic strain and the martensitic phase are dependent on the initial crystal orientation and appear as the shear band structures. In addition, the sizes of embryo and cell strongly influence the shear band formation and the martensitic volume fraction of crystal TRIP steel.

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Numerical simulation of shear band formation in elastic material by energy relaxation

PAMM ◽

10.1002/pamm.201010160 ◽

2010 ◽

Vol 10 (1) ◽

pp. 335-336

Author(s):

Bach Tuyet Trinh ◽

Klaus Hackl

Keyword(s):

Numerical Simulation ◽

Shear Band ◽

Elastic Material ◽

Energy Relaxation ◽

Shear Band Formation ◽

Band Formation

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Understanding and suppressing shear band formation in strut-based lattice structures manufactured by laser powder bed fusion

Materials & Design ◽

10.1016/j.matdes.2020.109416 ◽

2021 ◽

Vol 199 ◽

pp. 109416

Author(s):

Xiaoyang Liu ◽

Takafumi Wada ◽

Asuka Suzuki ◽

Naoki Takata ◽

Makoto Kobashi ◽

...

Keyword(s):

Shear Band ◽

Lattice Structures ◽

Shear Band Formation ◽

Powder Bed Fusion ◽

Laser Powder Bed Fusion ◽

Band Formation ◽

Powder Bed

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Studies of Elastic-Plastic Instabilities

Journal of Applied Mechanics ◽

10.1115/1.2789166 ◽

1999 ◽

Vol 66 (1) ◽

pp. 3-9 ◽

Cited By ~ 19

Author(s):

V. Tvergaard

Keyword(s):

Shear Band ◽

Plastic Flow ◽

Continuum Mechanics ◽

Shear Band Formation ◽

Band Formation ◽

Elastic Plastic ◽

Localized Necking ◽

Focus On Results ◽

Metal Sheets ◽

Bifurcation Behavior

Analyses of plastic instabilities are reviewed, with focus on results in structural mechanics as well as continuum mechanics. First the basic theories for bifurcation and post-bifurcation behavior are briefly presented. Then, localization of plastic flow is discussed, including shear band formation in solids, localized necking in biaxially stretched metal sheets, and the analogous phenomenon of buckling localization in structures. Also some recent results for cavitation instabilities in elastic-plastic solids are reviewed.

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