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Numerical study on the evolution of stress distribution in cellular microstructures

  • Takuya Uehara
Veröffentlicht/Copyright: 11. Juni 2013
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International Journal of Materials Research
Aus der Zeitschrift International Journal of Materials Research Band 101 Heft 4

Abstract

Stress generation and evolution in a cellular microstructure observed in the directional solidification process of a binary alloy system were simulated using a phase field model. The Ni–Cu system was chosen as a typical alloy, and two-dimensional simulations were carried out. The elastic stress induced by the volumetric contraction due to solidification was considered, and stress distribution in the solidified region was calculated. Results showed that a complex stress state is generated in the interfacial region, while it is homogeneous in the bulk solid. Under a condition causing the growing cells to coalesce, remarkably large stress was observed at the tip of the decayed cell, leading to a stress concentration around the liquid droplets and grooves subsequently generated. In order to show the effect of binary composition on the stress distribution, the dependence of Cu concentration on the elastic coefficient was considered, and simulations were carried out. Consequently, stress distribution in the bulk solid was observed along the cell boundaries, while no stress distribution was generated when this dependence was not taken into consideration.

Keywords: Phase field model; Directional solidification; Microstructure; Stress analysis; Computer simulation
* Correspondence address, Dr. Takuya Uehara, Dept. Mechanical Systems Engineering, Yamagata University, 4-3-16, Jonan, Yonezawa 992-8510, Japan, Tel. & Fax: +81238263285. E-mail:

References

[1] J.Rubinstein, P.Sternberg, J. B.Keller: SIAM J. Appl. Math.49 (1989) 116.10.1137/0149007Suche in Google Scholar

[2] P.De Mottoni, M.Schatzman: Trans. Amer. Math. Soc.347 (1995) 1533.10.2307/2154960Suche in Google Scholar

[3] B.Stoth: European J. Appl. Math.7 (1996) 603.10.1017/S0956792500002606Suche in Google Scholar

[4] T.Young: Philos. Trans. R. Soc. London95 (1805) 65.10.1098/rstl.1805.0005Suche in Google Scholar

[5] L.Bronsard, F.Reitich: Arch. Rational Mech. Anal.124 (1993) 355.10.1007/BF00375607Suche in Google Scholar

[6] H.Garcke, B.Nestler, B.Stoth: Physica D115 (1998) 87.10.1016/S0167-2789(97)00227-3Suche in Google Scholar

[7] I.Steinbach, F.Pezzolla: Physica D134 (1999) 385.10.1016/S0167-2789(99)00129-3Suche in Google Scholar

[8] I.Steinbach: Modelling Simul. Mater. Sci. Eng.17 (2009) 073001.10.1088/0965-0393/17/7/073001Suche in Google Scholar

Received: 2009-10-11
Accepted: 2010-1-8
Published Online: 2013-06-11
Published in Print: 2010-04-01

© 2010, Carl Hanser Verlag, München

Artikel in diesem Heft

  1. Contents
  2. Contents
  3. Editorial
  4. Second Symposium on Phase-Field Modelling in Materials Science
  5. Basic
  6. Phase-field modeling of surface diffusion
  7. Elastic and plastic effects on solid-state transformations: A phase field study
  8. Elastic interactions in phase-field crystal models: numerics and postprocessing
  9. Phase-field modeling of solute trapping: comparative analysis of parabolic and hyperbolic models
  10. Multi-phase field study of the equilibrium state of multi-junctions
  11. Numerical study on the evolution of stress distribution in cellular microstructures
  12. Effect of surface charges on the polarization distribution in ferroelectric nanotubes
  13. Efficient and reliable finite element techniques for phase field models
  14. Applied
  15. Phase-field simulation of microstructure formation in technical magnesium alloys
  16. Phase-field modelling of gas porosity formation during the solidification of aluminium
  17. Application of the phase-field method in predicting gas bubble microstructure evolution in nuclear fuels
  18. Simulation of reaction-diffusion phenomena occurring between Ir coating and Ni–Al alloy substrate using phase-field model
  19. Phase-field simulation of γ(A1) + γ′(L12) + γ′′(D022) three-phase microstructure formation in Ni-base superalloys
  20. Phase field modelling of austenite formation from ultrafine ferrite–carbide aggregates in Fe–C
  21. Phase field simulation of austenite grain growth in the HAZ of microalloyed linepipe steel
  22. Dual-scale phase-field simulation of grain growth upon reheating of a microalloyed line pipe steel
  23. Phase field simulation of grain growth with grain boundary segregation
  24. Notification
  25. DGM News
https://doi.org/10.3139/146.110299
Schlagwörter für diesen Artikel
Phase field model; Directional solidification; Microstructure; Stress analysis; Computer simulation

Artikel in diesem Heft

  1. Contents
  2. Contents
  3. Editorial
  4. Second Symposium on Phase-Field Modelling in Materials Science
  5. Basic
  6. Phase-field modeling of surface diffusion
  7. Elastic and plastic effects on solid-state transformations: A phase field study
  8. Elastic interactions in phase-field crystal models: numerics and postprocessing
  9. Phase-field modeling of solute trapping: comparative analysis of parabolic and hyperbolic models
  10. Multi-phase field study of the equilibrium state of multi-junctions
  11. Numerical study on the evolution of stress distribution in cellular microstructures
  12. Effect of surface charges on the polarization distribution in ferroelectric nanotubes
  13. Efficient and reliable finite element techniques for phase field models
  14. Applied
  15. Phase-field simulation of microstructure formation in technical magnesium alloys
  16. Phase-field modelling of gas porosity formation during the solidification of aluminium
  17. Application of the phase-field method in predicting gas bubble microstructure evolution in nuclear fuels
  18. Simulation of reaction-diffusion phenomena occurring between Ir coating and Ni–Al alloy substrate using phase-field model
  19. Phase-field simulation of γ(A1) + γ′(L12) + γ′′(D022) three-phase microstructure formation in Ni-base superalloys
  20. Phase field modelling of austenite formation from ultrafine ferrite–carbide aggregates in Fe–C
  21. Phase field simulation of austenite grain growth in the HAZ of microalloyed linepipe steel
  22. Dual-scale phase-field simulation of grain growth upon reheating of a microalloyed line pipe steel
  23. Phase field simulation of grain growth with grain boundary segregation
  24. Notification
  25. DGM News
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