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Texture evolution and inhomogeneous deformation of polycrystalline Cu based on crystal plasticity finite element method and particle swarm optimization algorithm

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Abstract

Texture evolution and inhomogeneous deformation of polycrystalline Cu during uniaxial compression are investigated at the grain scale by combining crystal plasticity finite element method (CPFEM) with particle swarm optimization (PSO) algorithm. The texture-based representative volume element (TBRVE) is used in the crystal plasticity finite element model, where a given number of crystallographic orientations are obtained by means of discretizing the orientation distribution function (ODF) based on electron backscattered diffraction (EBSD) experiment data. Three-dimensional grains with different morphologies are generated on the basis of Voronoi tessellation. The PSO algorithm plays a significant role in identifying the material parameters and saving computational time. The macroscopic stress–strain curve is predicted based on CPFEM, where the simulation results are in good agreement with the experimental ones. Therefore, CPFEM is a powerful candidate for capturing the texture evolution and clarifying the inhomogeneous plastic deformation of polycrystalline Cu. The simulation results indicate that the <110> fiber texture is generated finally with the progression of plastic deformation. The inhomogeneous distribution of rotation angles lays the foundation for the inhomogeneous deformation of polycrystalline Cu in terms of grain scale.

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References

  1. MAO Liu, TIEU A K, CHENG Lu, ZHU Hong-tao, DENG Guan-yu. A crystal plasticity study of the effect of friction on the evolution of texture and mechanical behaviour in the nano-indentation of an aluminium single crystal [J]. Computational Materials Science, 2014, 81: 30–38.

    Article  Google Scholar 

  2. ARDELJAN M, BEYERLEIN I J, MCWILLIAMS B A, KNEZEVIC M. Strain rate and temperature sensitive multi-level crystal plasticity model for large plastic deformation behavior: Application to AZ31 magnesium alloy [J]. International Journal of Plasticity, 2016, 83: 90–109.

    Article  Google Scholar 

  3. SEGURADO J, LLORCA J. Simulation of the deformation of polycrystalline nanostructured Ti by computational homogenization [J]. Computational Materials Science, 2013, 76: 3–11.

    Article  Google Scholar 

  4. ZHANG **g, CHEN Zhang-hua, DONG Chao-Fang. Simulating intergranular stress corrosion cracking in AZ31 using three-dimensional cohesive elements for grain structure [J]. Journal of Materials Engineering and Performance, 2015, 24(12): 4908–4918.

    Article  Google Scholar 

  5. LI Ling, SHEN Lu-ming, PROUST G, MOY C K S, RANZI G. Three-dimensional crystal plasticity finite element simulation of nanoindentation on aluminium alloy 2024 [J]. Materials Science and Engineering A, 2013, 579: 41–49.

    Article  Google Scholar 

  6. LEE M G, LIM H, ADAMS B L, HIRTH J P, WAGONER R H. A dislocation density-based single crystal constitutive equation [J]. International Journal of Plasticity, 2010, 26(7): 925–938.

    Article  MATH  Google Scholar 

  7. ZHANG Ke-shi, JU J W, LI Zhen-huan, BAI Yi-long, BROCKS W. Micromechanics based fatigue life prediction of a polycrystalline metal applying crystal plasticity [J]. Mechanics of Materials, 2015, 85: 16–37.

    Article  Google Scholar 

  8. ABDOLVAND H, DAYMOND M R, MAREAU C. Incorporation of twinning into a crystal plasticity finite element model: evolution of lattice strains and texture in Zircaloy-2 [J]. International Journal of Plasticity, 2011, 27(11): 1721–1738.

    Article  MATH  Google Scholar 

  9. HASIJA V, GHOSH S, MILLS M J, JOSEPH D S. Deformation and creep modeling in polycrystalline Ti–6Al alloys [J]. Acta Materialia, 2003, 51(15): 4533–4549.

    Article  Google Scholar 

  10. XIE C L, GHOSH S, GROEBER M. Modeling cyclic deformation of HSLA steels using crystal plasticity [J]. Journal of Engineering Materials and Technology, 2004, 126(4): 339–352.

    Article  Google Scholar 

  11. CHENG Jia-hao, GHOSH S. A crystal plasticity FE model for deformation with twin nucleation in magnesium alloys [J]. International Journal of Plasticity, 2015, 67: 148–170.

    Article  Google Scholar 

  12. ESMIN A A A, COELHO R A, MATWIN S. A review on particle swarm optimization algorithm and its variants to clustering high-dimensional data [J]. Artificial Intelligence Review, 2015, 44(1): 23–45.

    Article  Google Scholar 

  13. DIARD O, LECLERCQ S, ROUSSELIER G, GAILLETAUD G. Evaluation of finite element based analysis of 3D multicrystalline aggregates plasticity: Application to crystal plasticity model identification and the study of stress and strain fields near grain boundaries [J]. International Journal of Plasticity, 2005, 21(4): 691–722.

    Article  MATH  Google Scholar 

  14. LI Ling, SHEN Lu-ming, PROUST G. A texture-based representative volume element crystal plasticity model for predicting Bauschinger effect during cyclic loading [J]. Materials Science and Engineering A, 2014, 608: 174–183.

    Article  Google Scholar 

  15. MA A, ROTERS F. A constitutive model for fcc single crystals based on dislocation densities and its application to uniaxial compression of aluminium single crystals [J]. Acta Materialia, 2004, 52(12): 3603–3612.

    Article  Google Scholar 

  16. HUANG **ao-xu, WINTHER G. Dislocation structures. Part I. Grain orientation dependence [J]. Philosophical Magazine, 2007, 87(33): 5189–5214.

    Article  Google Scholar 

  17. BRAHME A P, INAL K, MISHRA R K, SAIMOTO S. The backstress effect of evolving deformation boundaries in FCC polycrystals [J]. International Journal of Plasticity, 2011, 27(8): 1252–1266.

    Article  MATH  Google Scholar 

  18. ROTERS F, EISENLOHR P, HANTCHERLI L, TJAHJANTO D D, BIELER T R, RAABE D. Overview of constitutive laws, kinematics, homogenization and multiscale methods in crystal plasticity finite-element modeling: Theory, experiments, applications [J]. Acta Materialia, 2010, 58(4): 1152–1211.

    Article  Google Scholar 

  19. HUANG Yong-gang. A user-material subroutine incroporating single crystal plasticity in the ABAQUS finite element program [M]. Cambridge Massachusetts, USA: Harvard University, 1991: 1–21.

    Google Scholar 

  20. HILL R, RICE J R. Constitutive analysis of elastic-plastic crystals at arbitrary strain [J]. Journal of the Mechanics and Physics of Solids, 1972, 20(6): 401–413.

    Article  MATH  Google Scholar 

  21. ASARO R J, RICE J R. Strain localization in ductile single crystals [J]. Journal of the Mechanics and Physics of Solids, 1977, 25(5): 309–338.

    Article  MATH  Google Scholar 

  22. CAILLETAUD G. A micromechanical approach to inelastic behaviour of metals [J]. International Journal of Plasticity, 1992, 8(1): 55–73.

    Article  MATH  Google Scholar 

  23. LU Feng, ZHANG Guang, ZHANG Ke-shi. Discussion of cyclic plasticity and viscoplasticity of single crystal nickel-based superalloy in large strain analysis: comparison of anisotropic macroscopic model and crystallographic model [J]. International Journal of Mechanical Sciences, 2004, 46(8): 1157–1171.

    Article  MATH  Google Scholar 

  24. PEIRCE D, ASARO R J, NEEDLEMAN A. An analysis of nonuniform and localized deformation in ductile single crystals [J]. Acta Metallurgica, 1982, 30(6): 1087–1119.

    Article  Google Scholar 

  25. WERT J A, LIU Q, HANSEN N. Dislocation boundary formation in a cold-rolled cube-oriented Al single crystal [J]. Acta Materialia, 1997, 45(6): 2565–2576.

    Article  Google Scholar 

Download references

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Authors and Affiliations

  1. College of Mechanical and Electrical Engineering, Harbin Engineering University, Harbin, 150001, China

    Li Hu  (胡励), Shu-yong Jiang  (江树勇), Yan-qiu Zhang  (张艳秋) & **ao-ming Zhu  (朱晓明)

  2. College of Materials Science and Chemical Engineering, Harbin Engineering University, Harbin, 150001, China

    Li Hu  (胡励) & Dong Sun  (孙冬)

Authors
  1. Li Hu  (胡励)
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  2. Shu-yong Jiang  (江树勇)
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  3. Yan-qiu Zhang  (张艳秋)
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  4. **ao-ming Zhu  (朱晓明)
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  5. Dong Sun  (孙冬)
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Corresponding author

Correspondence to Shu-yong Jiang  (江树勇).

Additional information

Foundation item: Projects(51305091, 51475101) supported by the National Natural Science Foundation of China; Project(20132304120025) supported by Specialized Research Fund for the Doctoral Program of Higher Education, China

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Hu, L., Jiang, Sy., Zhang, Yq. et al. Texture evolution and inhomogeneous deformation of polycrystalline Cu based on crystal plasticity finite element method and particle swarm optimization algorithm. J. Cent. South Univ. 24, 2747–2756 (2017). https://doi.org/10.1007/s11771-017-3688-1

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  • DOI: https://doi.org/10.1007/s11771-017-3688-1

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