Enhancement in Viscoplastic Self-Consistent FLD Prediction Model and Its Application for Austenitic and Ferritic Stainless Steels
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The computational algorithm of a crystal-plastic-based FLD predictive model (VPSC-FLD) developed in Jeong et al. (Model Simul Mater Sci Eng, 2016. https://doi.org/10.1088/0965-0393/24/5/055005) is enhanced. A real-time monitor process runs while the forming limit diagram is calculated by parallel computation on various strain loading paths. The monitor process enables the CPU workers to communicate with each other so that the unnecessary model runs can be determined and terminated on the fly. Moreover, the advanced numerical algorithm suggested earlier by Schwindt et al. (Int J Plast 73:62–99, 2015. https://doi.org/10.1016/j.ijplas.2015.01.005) is implemented to VPSC-FLD. The new numerical algorithm and real-time monitor has improved both the overall computational speed and the efficiency in parallel computation. The enhanced VPSC-FLD model is applied for austenitic and ferritic stainless samples in terms of flow stress–strain curve, R-values, and forming limit diagram. The linearization scheme applied on the local constitutive description is studied to reveal its impacts on various macroscopic properties. It is found that the linearization scheme with the best fit on uniaxial data is not necessary the one that gives the best predictive accuracy on the forming limit prediction.
KeywordsCrystal plasticity Formability Anisotropy Parallel computation
The support from National Research Foundation of Korea (NRF-2017R1D1A1B03031052) is kindly acknowledged.
- 1.S. Keeler, W. Backhofen, Plastic instability and fracture in sheet stretched over rigid punches. ASM Trans. Q. 56, 25–48 (1964)Google Scholar
- 10.C. Schwindt, F. Schlosser, M.A. Bertinetti, M. Stout, J.W. Signorelli, Experimental and Visco-Plastic Self-Consistent evaluation of forming limit diagrams for anisotropic sheet metals: an efficient and robust implementation of the M-K model. Int. J. Plast 73, 62–99 (2015). https://doi.org/10.1016/j.ijplas.2015.01.005 CrossRefGoogle Scholar
- 14.J.S. Nagra, A. Brahme, R.K. Mishra, R.A. Lebensohn, K. Inal, An efficient full-field crystal plasticity-based M-K framework to study the effect of 3D microstructural features on the formability of polycrystalline materials. Model. Simul. Mater. Sci. Eng. (2018). https://doi.org/10.1088/1361-651X/aadc20 CrossRefGoogle Scholar
- 19.K. Chung, H. Kim, C. Lee, Forming limit criterion for ductile anisotropic sheets as a material property and its deformation path insensitivity. Part I: deformation path insensitive formula based on theoretical models. Int. J. Plast. 58, 3–34 (2014). https://doi.org/10.1016/j.ijplas.2014.03.009 CrossRefGoogle Scholar
- 22.J. Lian, F. Shen, X. Jia, D.C. Ahn, D.C. Chae, S. Münstermann, W. Bleck, An evolving non-associated Hill48 plasticity model accounting for anisotropic hardening and r-value evolution and its application to forming limit prediction. Int. J. Solids Struct. 151, 20–44 (2017). https://doi.org/10.1016/j.ijsolstr.2017.04.007 CrossRefGoogle Scholar
- 36.C.N. Tomé, R.A. Lebensohn, Manual for code Visco-Plastic Self-Consistent (VPSC) (2009)Google Scholar
- 42.F. Bachmann, R. Hielscher, H. Schaeben, Texture analysis with MTEX—free and open source software toolbox. Solid State Phenom. 160, 63–68 (2010). https://doi.org/10.4028/www.scientific.net/SSP.160.63 CrossRefGoogle Scholar
- 43.Y. Jeong, M.S. Pham, M. Iadicola, A. Creuziger, Forming limit diagram predictions using a self-consistent crystal plasticity model: a parametric study. Key Eng. Mater. 651–653, 193–198 (2015). https://doi.org/10.4028/www.scientific.net/kem.651-653.193 CrossRefGoogle Scholar
- 45.E. Jones, T. Oliphant, P. Peterson, SciPy: Open source scientific tools for Python (2001). http://www.scipy.org/
- 48.Y. Jeong, F. Barlat, M.-G. Lee, Crystal plasticity predictions of forward-reverse simple shear flow stress. Mater. Sci. Forum 702–703, 204–207 (2012). https://doi.org/10.4028/www.scientific.net/MSF.702-703.204 CrossRefGoogle Scholar