Effect of Texture on Plastic Flow Localization of FCC Polycrystals Using Homogenization-Based Polycrystalline Plasticity


Article Preview

In this study, a framework to predict the onset of plastic flow localization is introduced. The Marciniak-Kuczyński type approach, which is a classical method to predict the strain localization, and a crystal plasticity model with a homogenization-based finite element method are combined, and forming limit strains that are defined as the onset of plastic flow localization for FCC polycrystals are computed. The forming limit strains with several kinds of textures are evaluated with the present approach, and the results are compared with those obtained by the Taylor model, which is a widely used conventional polycrystalline model. Within the present application, the present method and the classical Taylor model give similar forming limit strains for FCC polycrystal sheets. According to the present results, the use of the Taylor model in the sheet necking analysis might be justified, at least for FCC polycrystal sheets with various textures.



Edited by:

Yeong-Maw Hwang and Cho-Pei Jiang




Y. Tadano et al., "Effect of Texture on Plastic Flow Localization of FCC Polycrystals Using Homogenization-Based Polycrystalline Plasticity", Key Engineering Materials, Vol. 626, pp. 450-455, 2015

Online since:

August 2014




* - Corresponding Author

[1] Z. Marciniak, K. Kuczyński, Limit strains in the process of stretch forming sheet metal, Int. J. Mech. Sci. p (1967) 609-620.

[2] K. Yoshida, T. Ishizuka, M. Kuroda, S. Ikawa, The effects of texture on formability of aluminum alloy sheets, Acta Mater. 55 (2007) 4499-4506.

DOI: https://doi.org/10.1016/j.actamat.2007.04.014

[3] Y. Tadano, M. Kuroda, H. Noguchi, Quantitative re-examination of Taylor model for FCC polycrystals, Comp. Mater. Sci. 51 (2012) 290-302.

DOI: https://doi.org/10.1016/j.commatsci.2011.07.024

[4] Y. Tadano, K. Yoshida, M. Kuroda, Plastic flow localization analysis of heterogeneous materials using homogenization-based finite element method, Int. J. Mech. Sci. 72 (2013) 63-74.

DOI: https://doi.org/10.1016/j.ijmecsci.2013.03.015

[5] X. Wu, N. Ohno, A homogenization theory for time-dependent nonlinear composites with periodic internal structures, Int. J. Solids Struct. 36 (1999) 4991–5012.

DOI: https://doi.org/10.1016/s0020-7683(98)00236-4

[6] K. Yoshida, Y. Tadano, M. Kuroda, Improvement in formability of aluminum alloy sheet by enhancing geometrical hardening, Comp. Mater. Sci. 46 (2009) 459-468.

DOI: https://doi.org/10.1016/j.commatsci.2009.03.034