0
Research Papers

Crystal Plasticity Analysis of Stress Partitioning Mechanisms and Their Microstructural Dependence in Advanced Steels

[+] Author and Article Information
Chao Pu

Department of Materials Science
and Engineering,
University of Tennessee,
Knoxville, TN 37996

Yanfei Gao

Department of Materials Science
and Engineering,
University of Tennessee,
Knoxville, TN 37996
Materials Science and Technology Division,
Oak Ridge National Laboratory,
Oak Ridge, TN 37831

Manuscript received October 29, 2014; final manuscript received January 9, 2015; published online January 23, 2015. Editor: Yonggang Huang.

J. Appl. Mech 82(3), 031003 (Mar 01, 2015) (6 pages) Paper No: JAM-14-1505; doi: 10.1115/1.4029552 History: Received October 29, 2014; Revised January 09, 2015; Online January 23, 2015

Two-phase advanced steels have an optimized combination of high yield strength and large elongation strain at failure, as a result of stress partitioning between a hard phase (martensite) and a ductile phase (ferrite or austenite). Provided with strong interfaces between the constituent phases, the failure in the brittle martensite phase will be delayed by the surrounding geometric constraints, while the rule of mixture will dictate a large strength of the composite. To this end, the microstructural design of these composites is imperative especially in terms of the stress partitioning mechanisms among the constituent phases. Based on the characteristic microstructures of dual phase and multilayered steels, two polycrystalline aggregate models are constructed to simulate the microscopic lattice strain evolution of these materials during uniaxial tensile tests. By comparing the lattice strain evolution from crystal plasticity finite element simulations with advanced in situ diffraction measurements in literature, this study investigates the correlations between the material microstructure and the micromechanical interactions on the intergranular and interphase levels. It is found that although the applied stress will be ultimately accommodated by the hard phase and hard grain families, the sequence of the stress partitioning on grain and phase levels can be altered by microstructural designs. Implications of these findings on delaying localized failure are also discussed.

FIGURES IN THIS ARTICLE
<>
Copyright © 2015 by ASME
Your Session has timed out. Please sign back in to continue.

References

Barabash, R. I., Barabash, O. M., Ojima, M., Yu, Z., Inoue, J., Nambu, S., Koseki, T., Xu, R., and Feng, Z., 2014, “Interphase Strain Gradients in Multilayered Steel Composite From Microdiffraction,” Metall. Mater. Trans. A, 45(1), pp. 98–108. [CrossRef]
Chen, P., Ghassemi-Armaki, H., Kumar, S., Bower, A., Bhat, S., and Sadagopan, S., 2014, “Microscale-Calibrated Modeling of the Deformation Response of Dual-Phase Steels,” Acta Mater., 65, pp. 133–149. [CrossRef]
Kim, D. H., Kim, S.-J., Kim, S.-H., Rollett, A. D., Oh, K. H., and Han, H. N., 2011, “Microtexture Development During Equibiaxial Tensile Deformation in Monolithic and Dual Phase Steels,” Acta Mater., 59(14), pp. 5462–5471. [CrossRef]
Jia, N., Cong, Z. H., Sun, X., Cheng, S., Nie, Z. H., Ren, Y., Liaw, P. K., and Wang, Y. D., 2009, “An In Situ High-Energy X-Ray Diffraction Study of Micromechanical Behavior of Multiple Phases in Advanced High-Strength Steels,” Acta Mater., 57(13), pp. 3965–3977. [CrossRef]
Ojima, M., Inoue, J., Nambu, S., Xu, P., Akita, K., Suzuki, H., and Koseki, T., 2012, “Stress Partitioning Behavior of Multilayered Steels During Tensile Deformation Measured by In Situ Neutron Diffraction,” Scr. Mater., 66(3–4), pp. 139–142. [CrossRef]
Koseki, T., Inoue, J., and Nambu, S., 2014, “Development of Multilayer Steels for Improved Combinations of High Strength and High Ductility,” Mater. Trans., 55(2), pp. 227–237. [CrossRef]
Ohashi, T., Roslan, L., Takahashi, K., Shimokawa, T., Tanaka, M., and Higashida, K., 2013, “A Multiscale Approach for the Deformation Mechanism in Pearlite Microstructure: Numerical Evaluation of Elasto-Plastic Deformation in Fine Lamellar Structures,” Mater. Sci. Eng. A, 588, pp. 214–220. [CrossRef]
Zheng, L. L., Gao, Y. F., Wang, Y. D., Stoica, A. D., An, K., and Wang, X. L., 2013, “Grain Orientation Dependence of Lattice Strains and Intergranular Damage Rates in Polycrystals Under Cyclic Loading,” Scr. Mater., 68(5), pp. 265–268. [CrossRef]
Zheng, L. L., Gao, Y. F., Lee, S. Y., Barabash, R. I., Lee, J. H., and Liaw, P. K., 2011, “Intergranular Strain Evolution Near Fatigue Crack Tips in Polycrystalline Metals,” J. Mech. Phys. Solids, 59(11), pp. 2307–2322. [CrossRef]
Wong, S. L., and Dawson, P. R., 2010, “Influence of Directional Strength-to-Stiffness on the Elastic–Plastic Transition of FCC Polycrystals Under Uniaxial Tensile Loading,” Acta Mater., 58(5), pp. 1658–1678. [CrossRef]
Clausen, B., Lorentzen, T., and Leffers, T., 1998, “Self-Consistent Modelling of the Plastic Deformation of f.c.c. Polycrystals and Its Implications for Diffraction Measurements of Internal Stresses,” Acta Mater., 46(9), pp. 3087–3098. [CrossRef]
Jia, N., Lin Peng, R., Wang, Y. D., Johansson, S., and Liaw, P. K., 2008, “Micromechanical Behavior and Texture Evolution of Duplex Stainless Steel Studied by Neutron Diffraction and Self-Consistent Modeling,” Acta Mater., 56(4), pp. 782–793. [CrossRef]
Saylor, D., Fridy, J., El-Dasher, B., Jung, K.-Y., and Rollett, A., 2004, “Statistically Representative Three-Dimensional Microstructures Based on Orthogonal Observation Sections,” Metall. Mater. Trans. A, 35(7), pp. 1969–1979. [CrossRef]
Tanaka, Y., Kishimoto, S., Yin, F., Kobayshi, M., Tomimatsu, T., and Kagawa, K., 2009, “Multi-Scale Deformation Behavior for Multi-Layer Steel by In-Situ FE-SEM,” Proc. SPIE, 7522, p. 75220N. [CrossRef]
Feng, K., Cai, X., Li, Z., and Chu, P. K., 2012, “Improved Corrosion Resistance of Stainless Steel 316L by Ti Ion Implantation,” Mater. Lett., 68, pp. 450–452. [CrossRef]
Peirce, D., Asaro, R. J., Needleman, A., and Park, A., 1983, “Overview: Material Rate Dependence and Localized Deformation in Crystalline Solids,” Acta Mater., 31(12), pp. 1951–1976. [CrossRef]
Huang, Y., 1991, “A User-Material Subroutine Incorporating Single Crystal Plasticity in the abaqus Finite Element Program,” Division of Engineering and Applied Science, Harvard University, Cambridge, MA, Mechanics Report No. 179.
Zheng, L., 2011, “Micromechanical Studies of Intergranular Strain and Lattice Misorientation Fields and Comparisons to Advanced Diffraction Measurements,” Ph.D. thesis, University of Tennessee, Knoxville, TN.
Barabash, R. I., Bei, H., Gao, Y. F., and Ice, G. E., 2011, “Interface Strength in NiAl–Mo Composites From 3-D X-Ray Microdiffraction,” Scr. Mater., 64(9), pp. 900–903. [CrossRef]

Figures

Grahic Jump Location
Fig. 1

(a) RVE for DP 980 steel. The RVE model size is 100 μm×100 μm×100 μm consisting of 10×10×10 cubic units. Black elements denote the martensitic phase, while colored elements correspond to ferritic grains. (b) Each cubic unit consists of 3×3×3 C3D8 solid elements including one martensite grain and one ferritic grain. Due to the martensitic phase transformation during annealing, these martensitic phases are located at the grain boundaries. A two-dimensional cut of the RVE mesh is shown to compare with the SEM image in Ref. [4].

Grahic Jump Location
Fig. 2

Schematic illustration of CPFEM model of multilayered steel. One eighth of the model is meshed due to symmetric considerations.

Grahic Jump Location
Fig. 3

Crystal plasticity finite element simulations of lattice strain evolution in DP 980 steel (solid lines), as compared to experimental data (discrete markers [4]) and viscoplastic self-consistent simulations (dash curves)

Grahic Jump Location
Fig. 4

Lattice strain evolution in multilayered steel, with the comparisons of CPFEM simulations in this work and experimental data in Ref. [5]. A dashed ellipse indicates the deviation of modeling from experimental data.

Grahic Jump Location
Fig. 5

(a) Schematic illustration of the cubic unit used in the fictitious DP material that consists of martensite and austenite phases. (b) Direct comparisons of {211} lattice strain evolution in the fictitious DP material and multilayered steel of martensite and austenite phases.

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In