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IJAT Vol.7 No.1 pp. 16-23
doi: 10.20965/ijat.2013.p0016
(2013)

Paper:

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Simulation of Microstructure Evolution and Deformation Behavior for Dual-Phase Steel by Multi-Phase-Field Method and Elastoplastic Finite Element Method

Akinori Yamanaka* and Tomohiro Takaki**

*Graduate School of Engineering, Tokyo University of Agriculture and Technology, 2-24-16 Nakacho, Koganei, Tokyo 184-8588, Japan

**Graduate School of Science and Technology, Kyoto Institute of Technology, Goshokaidoucho, Matsugasaki, Sakyo, Kyoto 606-8585, Japan

Received:
August 11, 2012
Accepted:
November 29, 2012
Published:
January 5, 2013
Creative Commons License
Keywords:
multi-phase-field method, elastoplastic finite element method, homogenization method, dual-phase steel, phase transformation
Abstract
A coupled simulation method is developed by using a Multi-Phase-Field (MPF) method that is recognized as a powerful numerical method for simulating microstructure formation in material and ElastoPlastic Finite Element Analysis (EP-FEA) based on a homogenization method. We apply the developed simulation method to investigate the deformation behavior of DP steel that includes various volume fractions and morphologies of the ferrite (α) phase. To obtain morphological information on the α phase of DP steel, we performed MPF simulation of austenite-to-ferrite (γ → α) transformation during continuous cooling transformation. MPF simulation gives us the digital image of the distribution of the simulated α phase. Furthermore, we model the representative volume element, which describes the DP microstructure, on the basis of the obtained morphology of the α phase, and perform tension-compression testing of DP steel, including the simulated α phase. Through these simulations, it is confirmed that the developed simulation method enables us to clarify the effect of the volume fraction and the configuration of the α phase on macroscopic deformation behavior of DP steel, such as the Bauschinger effect.
Cite this article as:
A. Yamanaka and T. Takaki, “Simulation of Microstructure Evolution and Deformation Behavior for Dual-Phase Steel by Multi-Phase-Field Method and Elastoplastic Finite Element Method,” Int. J. Automation Technol., Vol.7 No.1, pp. 16-23, 2013.
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References
  1. [1] M. Calcagnotto, Y. Adachi, D. Ponge, and D. Raabe, “Deformation and fracture mechanisms in fine- and ultrafine-grained ferrite/martensite dual-phase steels and the effect of aging,” Acta Materialia, Vol.59, pp. 658-670, 2011.
  2. [2] T. Senuma, M. Suehiro, and H. Yada, “Mathematical Models for Predicting Microstructural Evolution and Mechanical Properties of Hot Strips,” ISIJ Int., Vol.32, pp. 423-432, 1992.
  3. [3] M. Suehiro, T. Senuma, H. Yada, and K. Sato, “Application of Mathematical Model for Predicting Microstructural Evolution to High Carbon Steels,” ISIJ Int., Vol.32, pp. 433-439, 1992.
  4. [4] N. Provatas and K. Elder, “Phase-Field Methods in Materials Science and Engineering,” WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim, Germany, 2010.
  5. [5] I. Steinbach, F. Pezzolla, B. Nestler, M. Seeßelberg, R. Prieler, G. J. Schmitz, and J. L. L. Renzende, “A phase field concept for multiphase systems,” Physica D, Vol.94, pp. 135-147, 1996.
  6. [6] D. Fan and L.-Q. Chen, “Computer simulation of grain growth using a continuum field model,” Acta Materialia, Vol.45, pp. 611-622, 1997.
  7. [7] R. Kobayashi, “Modeling and numerical simulations of dendritic crystal growth,” Physica D. Vol.63, pp. 410-423, 1993.
  8. [8] J. A. Warren and W. J. Boettinger, “Prediction of dendritic growth and microsegregation patterns in a binary alloy using the phasefield method,” ActaMetallurgica etMaterialia, Vol.43, pp. 689-703, 1995.
  9. [9] Y. Wang and A. G. Khachaturyan, “Three-dimensional field model and computer modeling of martensitic transformations,” Acta Materialia, Vol.45, pp. 759-773, 1997.
  10. [10] I. Loginova, J. Odqvist, G. Amberg, and J. Ågren, “The phasefield approach and solute drag modeling of the transition to massive γ→α transformation in binary Fe-C alloys,” Acta Materialia, Vol.51, pp. 1327-1339, 2003.
  11. [11] T. Takaki, Y. Hisakuni, T. Hirouchi, A. Yamanaka, and Y. Tomita, “Multi-phase-field simulations for dynamic recrystallization,” Computational Materials Science, Vol.45, pp. 881-888, 2009.
  12. [12] T. Takaki, A. Yamanaka, Y. Higa, and Y. Tomita, “Phase-field Model during Static Recrystallization based on Crystal-plasticity Theory,” J. of Computer-aided Materials Design, Vol.14, pp. 75-84, 2007.
  13. [13] J. M. Guedes and N. Kikuchi, “Preprocessing and postprocessing for materials based on the homogenization method with adaptive finite element methods,” Computer Methods in Applied Mechanics and Engineering, Vol.83, pp. 143-198, 1990.
  14. [14] K. Terada and N. Kikuchi, “A class of general algorithms for multiscale analyses of heterogeneous media,” Computer Methods in Applied Mechanics and Engineering, Vol.190, pp. 5427-5464, 2001.
  15. [15] K. Terada, K. Matsui, M. Akiyama, and T. Kuboki, “Numerical reexamination of the micro-scale mechanism of the Bauschinger effect in carbon steels,” Computational Materials Sciences, Vol.31, pp. 67-83, 2004.
  16. [16] A. Yamanaka, T. Takaki, and Y. Tomita, “Coupled simulation of microstructural formation and deformation behavior of ferrite-pearlite steel by phase-field method and homogenization method,” Materials Science and Engineering. A, Vol.349, pp. 244-252, 2008.
  17. [17] I. Steinbach and F. Pezzolla, “A generalized field method for multiphase transformations using interface fields,” Physica D, Vol.134, pp. 385-393, 1999.
  18. [18] J. Eiken, B. Böttger, and I. Steinbach, “Multiphase-field approach for multicomponent alloys with extrapolation scheme for numerical application,” Physical Review E, Vol.73, p. 066122, 2006.
  19. [19] J. Tiaden, B. Nestler, H. J. Diepers, and I. Steinbach, “The multiphase-field model with an integrated concept for modelling solute diffusion,” Physica D, Vol.115, pp. 73-86, 1998.
  20. [20] M. Militzer, M. G. Mecozzi, J. Sietsma, and S. van der Zwaag, “Three-dimensional phase field modelling of the austenite-to-ferrite transformation,” Acta Materialia, Vol.54, pp. 3961-3972, 2006.
  21. [21] A. Yamanaka, T. Takaki, and Y. Tomita, “Simulation of Austeniteto-ferrite Transformation in Deformed Austenite by Crystal Plasticity Finite ElementMethod and Multi-phase-field Method,” ISIJ Int., Vol.52, pp. 659-668, 2012.
  22. [22] Y. Tomita, “Numerical Elasto-Plastic Mechanics,” Yokendo Ltd, 1990. (in Japanese)
  23. [23] S. J. Hollister and B. A. Riemer, “Digital image based finite element analysis for bone microstructure using conjugate gradient and Gausian filter technique,” Mathematical Methods in Medical Imaging II, Vol.2035, pp. 95-106, 1993.

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