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Smoothed particle hydrodynamics analysis on semi-solid metal forming process

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Abstract

Smoothed particle hydrodynamics (SPH) method for the flow analyses of mixture of fluid and solid phase is presented and is applied to the semi-solid forming problems of functionally graded materials (FGMs). A weak coupling strategy between the fluid and the solid phases is adopted. It is consisting of fluid analysis (trial) and correction steps. In the fluid analysis step, simplified marker and cell (SMAC) algorithm is adopted, since it is assumed to be incompressible in present investigation. The solid phase particles are assumed to be rigid and the correction step brings their shapes back to their original ones. The algorithm is so simple that it allows us to have a large number of solid phase particles to be embedded in the fluid phase. The results of verification problem analyses and those for the semi-solid forming of FGMs are presented.

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References

  1. Awaji H., Takenaka H., Honda S., Nishikawa T.: Temperature/stress distribution in a stress-relief-type plate of functionally graded materials under thermal shock. JSME Int. J. Series A 44(1), 37–44 (2001)

    Article  Google Scholar 

  2. Bathe K.-J., Zhang H., Ji S.: Finite element analysis of fluid flows fully coupled with structural interactions. Comput. Struct. 72, 1–16 (1999)

    Article  MATH  Google Scholar 

  3. Brinkman H.C.: The viscosity of concentrated suspensions and solutions. J. Chem. Phys. 20(4), 571 (1952)

    Article  Google Scholar 

  4. Cleary P.W., Monagham J.J.: Conduction modeling using smoothed particle hydrodynamics. J. Comput. Phys. 48, 227–264 (1999)

    Article  Google Scholar 

  5. Fukui Y.: Fundamental investigation of functionally gradient material manufacturing system using centrifugal force. JSME Int. J. Ser. III 34(1), 144–148 (1991)

    Google Scholar 

  6. Fukui Y., Takashima K., Ponton C.B.: Measurement of Young’s modulus and internal friction of an in situ Al–Al3Ni functionally gradient material. J. Mater. Sci. 29, 2281–2288 (1994)

    Article  Google Scholar 

  7. Fukui Y., Watanabe Y.: Analysis of thermal residual stress in a thick-walled ring of Duralcan-base Al–SiC functionally graded material. Metal. Mater. Trans. A 27A, 4145–4151 (1996)

    Article  Google Scholar 

  8. Fukui Y., Okada H., Kumazawa N., Watanabe Y.: Near-net-shape forming of Al–Al3Ni functionally graded material over eutectic melting temperature. Metal. Mater. Trans. A 31A, 2627–2636 (2000)

    Article  Google Scholar 

  9. Fukui Y., Okada H., Kumazawa N., Watanabe Y.: Wear characteristic of semi-solid formed Al–Al3Ni functionally graded material. J. Inst. Metals 72, 496–502 (2008)

    Article  Google Scholar 

  10. Functionally graded material forum of Japan (WWW page). http://www.fgms.net/en-index.html

  11. Imai, I.: Theories on drugs of fluid (Ryutai Teikou no Riron, in Japanese). Kagaku. 28–3, 110–115 (1958)

  12. Kajishima T.: Numerical Simulation of Turbulent Flows. Yokendo Ltd., Tokyo (1999)

    Google Scholar 

  13. Koshizuka S., Nobe A., Oka Y.: Numeical analysis of breaking waves using the moving particle semi-implicit method. Int. J. Numer. Methods Fluids 26, 751–769 (1998)

    Article  MATH  Google Scholar 

  14. Koshizuka S.: Computational Fluid Dynamics. Baifukan, Tokyo (1997)

    Google Scholar 

  15. Monaghan J.J.: Smoothed particle hydrodynamics. Ann. Rev. Astron. Astrophys. 30, 543–574 (1992)

    Article  Google Scholar 

  16. Morris J.P., Fox P.J., Zhu Y.: Modeling low Reynolds number incompressible flows using SPH. J. Comput. Phys. 136, 214–226 (1997)

    Article  MATH  Google Scholar 

  17. Okada H., Fukui Y., Sako R., Kumazawa N.: Numerical analysis on near net shape forming of Al–Al3Ni functionally graded material. Compos. Part A 34, 371–382 (2003)

    Article  Google Scholar 

  18. Sakai Y., Yamashita A.: Study on the fundamental characteristics of structural analysis by particle method based on SPH. Trans. JSME Ser. A 67–659, 1093–1102 (2001)

    Google Scholar 

  19. Sakai Y., Yang Z.Y., Jung Y.G.: Incompressible viscous flow analysis by SPH. Trans. JSME Ser. Al 70–696, 1949–1956 (2004)

    Google Scholar 

  20. Sakai Y., Yang Z., Hirama T., Yamashita A., Kawasaki S.: A flow analysis by SMAC–SPH and visualization. Trans. Jpn. Soc. Simul. Technol. 24–4, 125–132 (2005)

    Google Scholar 

  21. Sakai, Y., Yamashita, A., Kawasaki, S.: A flow analysis using SMAC–SPH method. In: Proceedings of the Conference on Computational Engineering and Science. vol. 10, pp. 415–418 (2005)

  22. Sequeira P.D., Watanabe Y., Fukui Y.: Backward Extrusion of Al-Al3Ti Functionally Graded Material, Volume Fraction Gradient and Anisotropic Orientation of Al3Ti Platelets. Script. Mater. 53, 687–692 (2005)

    Article  Google Scholar 

  23. Shimoda, M.: On near-net shape forming of Al–SiC functionally graded material. Masters Thesis. Department of Mechanical Engineering, Graduate School of Science and Engineering, Kagoshima University, March (2008)

  24. Swegle, J.W., Attaway, S.W., Heinstein, M.W., Mello, F.J., Hicks, D.L.: An analysis of smoothed particle hydrodynamics. Sandia Report (SAND93-2513 UC-705), Sandia National Laboratories, Albuquerque, New Mexico and Livermore, California, USA (1994)

  25. The Society of Fluid Dynamics: Fluid Dynamics Handbook. Maruzen, Tokyo (1998)

  26. Vinson J.R., Sierakowski R.L.: The Behavior of Structures Composed of Composite Materials. Martinus Nijhoff Publications, Boston (1987)

    MATH  Google Scholar 

  27. Watanabe Y., Yamanaka N., Fukui Y.: Control of composition gradient in a metal-ceramic functionally graded material manufactured by the centrifugal method. Compos. Part A 29A, 595–601 (1998)

    Article  Google Scholar 

  28. Watanabe Y., Sato R., Matsuda K., Fukui Y.: Evaluation of plastic size and particle shape distributions in Al–Al3Ni FGMs fabricated by centrifugal in situ method. Sci. Eng. Compos. Mater. 11(2–3), 185–199 (2004)

    Google Scholar 

  29. Yamada T., Yoshimura S.: Line search partitioned approach for fluid–structure interaction analysis of flapping wing. Comput. Model. Eng. Sci. 24, 51–60 (2008)

    Google Scholar 

  30. Yamagiwa K., Watanabe Y., Fukui Y., Kapranos P.: Novel recycling system of aluminum and iron wastes-in-situ Al–Al3Fe functionally graded material manufactured by a centrifugal mMethod. Mater. Trans. 44(12), 2461–2467 (2003)

    Article  Google Scholar 

  31. Yoon H.Y., Koshizuka S., Oka Y.: A particle-gridless hybrid method for incompressible flows. Int. J. Numer. Methods Fluids 30, 407–424 (1999)

    Article  MATH  Google Scholar 

Download references

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Correspondence to Hiroshi Okada.

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Takamiya, H., Okada, H., Sakai, Y. et al. Smoothed particle hydrodynamics analysis on semi-solid metal forming process. Japan J. Indust. Appl. Math. 28, 183–203 (2011). https://doi.org/10.1007/s13160-011-0028-y

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  • DOI: https://doi.org/10.1007/s13160-011-0028-y

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