Prediction of the Plastic Strain Ratio Evolution of a Dual-phase Steel

3차원 미세조직에 기반한 잔류응력 하의 이상 조직강의 소성변형률비 예측

  • Received : 2015.07.24
  • Accepted : 2015.11.05
  • Published : 2015.12.01


A microstructure-based finite element simulation was conducted to predict the plastic strain ratio (R-value) of a dual-phase (DP) steel. The representative volume elements (RVEs) concept was adopted for the image-based FE modeling and a 3D model was constructed using sequential 2D images. Each phase was considered with the von-Mises yield criterion and the Swift model. The Swift parameters were defined by the empirical equations based on the chemical composition. The developed model was applied to analyze the effect of residual stress on the R-value and stress distribution. In order to consider the residual stress development after cold rolling, 10 % compression was applied in the thickness direction and unloaded before the tensile stress was applied in the rolling direction. The results showed a reasonable prediction for the R-value evolution: a sharp increase at small strains was well described and a transition followed in the downward direction. The R-value evolution was analyzed using the stress distribution change on the π-plane


R-value;Meso-scale;Representative Volume Element;Dual-phase Steel;Finite Element Simulation


  1. T. Manik, B. Holmedal, O. S. Hopperstad, 2015, Strain-path Change Induced Transients in Flow Stress, Work Hardening and R-values in Aluminum, Int. J. Plast., Vol. 69, pp. 1~20.
  2. W. T. Lankford, S. C. Snyder, J. A. Bauscher, 1950, New Criteria for Predicting the Press Performance of Deep Drawing Sheets, Trans. ASM. Vol. 42, pp. 1197~1205.
  3. C. C. Tasan, J. P. M. Hoefnagels, M. Diehl, D. Yan, F. Roters, D. Raabe, 2014, Strain Localization and Damage in Dual Phase Steels Investigated by Coupled In-situ Deformation Experiments and Crystal Plasticity Simulations, Int. J. Plast., Vol. 63, pp. 198~210.
  4. R. K. A. Al-Rub, M. Ettehad, A. N. Palazotto, 2015, Microstructural Modeling of Dual Phase Steel using a Higher-order Gradient Plasticity-damage Model, Int. J. Solids Struct., Vol. 58, pp. 178~189.
  5. V. Uthaisangsuk, U. Prahl, W. Bleck, 2011, Modelling of Damage and Failure in Multiphase High Strength DP and TRIP Steels, Eng. Fract. Mech., Vol. 78, No. 3, pp. 469~486.
  6. J. Lian, H.Yang, N. Vajragupta, S. Münstermann, W. Bleck, 2014, A Method to Quantitatively Upscale the Damage Initiation of Dual-phase Steels under Various Stress States from Microscale to Macroscale, Comput. Mater. Sci., Vol. 94, pp. 245~257.
  7. S. K. Paul, 2013, Effect of Material Inhomogeneity on the Cyclic Plastic Deformation Behavior at the Microstructural Level: Micromechanics-based Modeling of Dual-phase Steel, Modell. Simul. Mater. Sci. Eng.,Vol. 21, No. 5, pp. 55001~55026.
  8. J. H. Kim, M. G. Lee, D. Kim, D. K. Matlock, R. H. Wagoner, 2010, Hole-expansion Formability of Dual-Phase Steels using Representative Volume Element Approach with Boundary-smoothing Technique, Mater. Sci. Eng., A, Vol. 527, No. 27, pp. 7353~7363.
  9. J. Ha, J. Lee, J. H. Kim, F. Barlat, M. G. Lee, 2014, Meso-scopic Analysis of Strain Path Change Effect on the Hardening Behavior of Dual-phase Steel, Steel Research Int., Vol. 85, No. 6, pp. 1047~1057.
  10. L. S. toch, B. Beausir, D. Orlov, R. Lapovok, A. Haldar, 2012, Analysis of Texture and R value Variations in Asymmetric Rolling of IF Steel, J. Mater. Process. Technol, Vol. 212, No. 2, pp. 509~515.
  11. Y. Tomota, M. Umemoto, N. Komatsubara, A. Hiramatsu, N. Nakajima, A. Moriya, T. Watanabe, S. Nanba, G. Anan, K. Kunishige, Y. Higo, M. Miyahara, 1992, Prediction of Mechanical Properties of Multi-Phase Steels Based on Stress-strain Curves, ISIJ Int. Vol. 32, No. 3, pp. 343~349.


Grant : 첨단 기계부품소재 인력양성사업단