On the Relation between R-Value of a Grain and the Operating Slip Systems of the Grain

Abstract:

Article Preview

The r-value is defined as the ratio of the width strain to the thickness strain under uniaxial tensile loading. The r-value can be defined for each grain in polycrystalline metal during plastic deformation. It was pointed out that r-value of a grain affects the surface roughening of polycrystalline metal, and hence also affects the formability of thin sheet metal. On the other hand, it was shown that by using a rate-type constitutive relation for crystal slips the effect of the number of active slip systems on the yield curves is clarified. In the present paper, the relation between r-value of a grain and its operating slip systems in polycrystalline metals is studied.

Info:

Periodical:

Edited by:

Yeong-Maw Hwang and Cho-Pei Jiang

Pages:

566-569

Citation:

T. Abe, "On the Relation between R-Value of a Grain and the Operating Slip Systems of the Grain", Key Engineering Materials, Vol. 626, pp. 566-569, 2015

Online since:

August 2014

Authors:

Export:

Price:

$38.00

* - Corresponding Author

[1] R. Hill, The Mathematical Theory of Plasticity, Oxford (1950).

[2] H. Song and T. Abe, Quantitative Description of Microscopic Plastic Deformation of Polycrystalline Aluminum using Laser-Scanning Microscope, Key Eng. Materials, 340-341 (2007) 803-810.

DOI: https://doi.org/10.4028/www.scientific.net/kem.340-341.803

[3] T. Abe, A Model of Plastic Deformation and Surface Roughening of Polycrystalline Metal Based on R-Value of Grains, in: J. Li et al (Eds. ), Engineering Plasticity and Its Applications (Proc. AEPA2010), World Scientific Publishing, 2011, pp.386-390.

DOI: https://doi.org/10.1142/9789814324052_0071

[4] T. Abe, Surface Roughening and Formability in Sheet Metal Forming of Polycrystalline Metal in: G. Lu, Q. Zhang (Eds. ) Advances in Engineering Plasticity XI (Proc. AEPA2012), Trans Tech Publications, 2012, pp.231-234.

DOI: https://doi.org/10.4028/www.scientific.net/kem.535-536.231

[5] T. Abe: submitted to Int. J. of Mechanical Sciences (2014).

[6] T. Abe, X. Lu, M. Nouno and T. Nanba, Numerical Study on Yield Curves of FCC Metals Based on Rate-Dependent Crystal Slips, JSME International Journal Ser. A 39 (1996) 237-245.

DOI: https://doi.org/10.1299/jsmea1993.39.2_237

[7] T. Abe, T. Nanba, M. Yamada, A Study on Crystal Slip and Grain Rotation of BCC Metals based on Strain-Rate Type Constitutive Equation, Zairyou 40 (1991) 837-843.

DOI: https://doi.org/10.2472/jsms.40.837

[8] S. Nagashima, Texture, (1984), Maruzen Tokyo.

[9] J. W. Hutchinson, Bounds and Self-Consistent Estimates for Creep of Polycrystalline Materials, Proc. Roy. Soc. Series A, 348 (1976) 101-127.

[10] J. Pan, J. R. Rice, Rate Sensitivity of Plastic Flow and Implications for Yield-Surface Vertices, Int. J. Solids Struct. 19 (1983) 973-987.

DOI: https://doi.org/10.1016/0020-7683(83)90023-9