Elasto-plasticity Behavior of IF Steel Sheet with Planar Anisotropy and Its Macro-meso Modeling

Kitayama, Kohshiroh; Kobayashi, Takumi; Uemori, Takeshi; Yoshida, Fusahito

doi:10.2355/isijinternational.52.735

Cited by 6 publications

(3 citation statements)

References 15 publications

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“…The grain-oriented and non-oriented electrical steel sheets have been selectively utilized in each industrial application [29,30]. The effect of grain orientation distribution on the plastic anisotropy of electrical steel sheets must be taken into account to reduce the affected damages by the punching process [31][32][33][34]. The present method has the potential to experimentally evaluate this effect by selecting the coarse grains with different crystallographic orientations for fine piercing and by analyzing the KAM, the IPF, and the spin rotation profile through the precise EBSD analysis.…”

Section: Discussionmentioning

confidence: 99%

Quantitative Characterization of the Affected Zones in a Single Crystal Fe-6Si Steel Sheet by Fine Piercing

Aizawa¹,

Shiratori

Yoshino

et al. 2022

Micromachines

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An iron loss in the motor core was often enhanced by formation of plastically affected zones in piercing the electrical steel sheets. A platform methodology to carry out quantitative evaluation of these affected zones in the pierced electrical steel sheets was proposed to search for the way to minimize the affected zone widths. A coarse-grained electrical steel sheet was employed as a work material for a fine piercing experiment under the narrowed clearance between the plasma-nitrided SKD11 punch and core-die. The shearing behavior by the applied loading for piercing was described by in situ measurement of the load-stroke relationship. The plastic straining in the single-crystal electrical steel sheet was characterized by SEM (scanning electron microscopy) and EBSD (electron back-scattering diffraction) to define the affected zone size and to analyze the rotation of crystallographic orientations by the induced plastic distortion during piercing. Integral and differentiation of spin rotation measured the affected zones. The effect of punch edge sharpness on these spin-rotation measures was also discussed using the nitrided and ion-milled SKD11 punch and core-die.

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Section: Discussionmentioning

confidence: 99%

Quantitative Characterization of the Affected Zones in a Single Crystal Fe-6Si Steel Sheet by Fine Piercing

Aizawa¹,

Shiratori

Yoshino

et al. 2022

Micromachines

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“…Nevertheless, Gotoh's yield function has only been considered occasionally in sheet metal modeling analyses since its first introduction more than forty years ago [8,9,10,11,12,13], but rarely outside Japan [14,15]. In comparison, associated non-quadratic yield functions such as Yld2000-2d and non-associated quadratic anisotropic sheet metal plasticity modeling that have only been proposed and developed since 2000s [16,17] are much more widely appeared nowadays in the literature.…”

Section: Related Contentmentioning

confidence: 99%

On the Certification of Positive and Convex Gotoh’s Fourth-Order Yield Function

Tong

2018

J. Phys.: Conf. Ser.

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Abstract. Gotoh proposed in 1977 a fourth-order homogeneous polynomial of three plane stress components as a yield function to model anisotropic yielding and plastic flow of sheet metals. The yield function admits up to eight experimental inputs from uniaxial tension tests and one measurement from an equal biaxial tension test for calibrating its nine material constants and can model the formation of up to eight ears in deep cup drawing. However, the superior Gotoh's yield function has not been widely adopted in sheet metal forming analyses in both academy and industry, especially outside Japan. One major concern is uncertain about the positivity and convexity of a calibrated Gotoh's yield function. Here the problem of certifying a calibrated Gotoh's yield function to be strictly positive and convex is first described and its resolutions are summarized based on some very recent research results. Algebraic necessary and sufficient conditions for a positive and convex Gotoh's yield function with only two nonzero stress components are first presented. Sufficient conditions in terms of semi-algebraic and algebraic inequalities for establishing the positivity and convexity of tri-component plane stress Gotoh's yield function are then summarized. Finally, the complete necessary and sufficient conditions for a positive and convex Gotoh's yield function in plane stress are realized as a fully numerical minimization problem. Examples of successfully applying those conditions in certifying positive and convex Gotoh's yield functions of various sheet metals are also given.

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“…47,48) On the other hand, there are cases where different parameters are employed for the two slip systems e.g. 48,49) and, moreover, {112} slip systems are sometimes not taken into account.…”

Section: )mentioning

confidence: 99%

Non-linear Deformation Behavior during Unloading in Various Metal Sheets

et al. 2015

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The deformation behavior during unloading was examined under uniaxial tension in a mild steel sheet (body-centered cubic metal), an aluminum alloy sheet (face-centered cubic metal), and a magnesium alloy sheet (hexagonal close packed metal). A crystal plasticity finite-element method was also used to investigate the difference in the deformation behavior among on the materials. The nonlinearity during unloading was the largest in the magnesium alloy sheet, and the mild steel sheet showed a larger nonlinearity than the aluminum alloy sheet. On the other hand, the apparent elastic moduli determined from the linear approximation of unloading curves were not always consistent with the characteristics observed in the nonlinearity, and this inconsistency became pronounced as the degree of nonlinearity increased. It was found that the degree of nonlinearity would have a strong correlation with the strain rate sensitivity, suggesting that the apparent elastic modulus was not suitable to model the unloading behavior for materials with high strain rate sensitivity. The crystal plasticity analysis demonstrated that the nonlinearity was much larger in the magnesium alloy sheet than in the other two sheets as observed in the experimental results. The simulation results suggested that one of the reasons that gave rise to the nonlinearity during unloading would be the difference in the critical resolved shear stresses among the slip systems.

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Elasto-plasticity Behavior of IF Steel Sheet with Planar Anisotropy and Its Macro-meso Modeling

Cited by 6 publications

References 15 publications

Quantitative Characterization of the Affected Zones in a Single Crystal Fe-6Si Steel Sheet by Fine Piercing

Quantitative Characterization of the Affected Zones in a Single Crystal Fe-6Si Steel Sheet by Fine Piercing

On the Certification of Positive and Convex Gotoh’s Fourth-Order Yield Function

Non-linear Deformation Behavior during Unloading in Various Metal Sheets

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