Computational issues in the modelling of materials-based manufacturing processes

  • Mark Cross
Article

Summary

The manufacture of materials products involves the control of a range of interacting physical phenomena. The material to be used is synthesised and then manipulated into some component form. The structure and properties of the final component are influenced by both interactions of continuum-scale phenomena and those at an atomistic-scale level. Moreover, during the processing phase there are some properties that cannot be measured (typically the liquid-solid phase change). However, it seems there is a potential to derive properties and other features from atomistic-scale simulations that are of key importance at the continuum scale. Some of the issues that need to be resolved in this context focus upon computational techniques and software tools facilitating: (i) the multiphysics modeling at continuum scale; (ii) the interaction and appropriate degrees of coupling between the atomistic through microstructure to continuum scale; and (iii) the exploitation of high-performance parallel computing power delivering simulation results in a practical time period. This paper discusses some of the attempts to address each of the above issues, particularly in the context of materials processing for manufacture.

Keywords

Computational modelling FV/FE techniques Coating Multiphysics 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    NUMIFORM Series — Numerical Methods in Industrial Forming Processes, Balkema, Rotterdam, The Netherlands, 1982, 1988, 1989, 1992, 1995.Google Scholar
  2. 2.
    Modelling of Casting, Welding and Advanced Solidification Processes, Vol. I–VII, The Minerals, Metals and Materials Society, Warrendale, PA.Google Scholar
  3. 3.
    Szekeley, J., Evans, J.W., Blazek, K. and El-Kaddah, N. (Eds.) Magnetohydrodynamics in Process Metallurgy, The Minerals, Metals and Materials Society, Warrendale, PA, 1991.Google Scholar
  4. 4.
    Frear, D.R., Jones, W.B. and Kinsman, K.R. (Eds.) Solder Mechanics, The Minerals, Metals and Materials Society, Warrendale, PA, 1990.Google Scholar
  5. 5.
    Cross, M., IMA J. Math. Appl. Bus. Ind., 7 (1996) 3.Google Scholar
  6. 6.
    Patankar, S.V., Numerical Heat Transfer and Fluid Flow, Hemisphere, Washington, DC, 1980.Google Scholar
  7. 7.
    Hirsch, C., Numerical Computation of Internal and External Flows, Vol. 1, Wiley, New York, NY, 1989.Google Scholar
  8. 8.
    Croft, N., Pericleous, K. and Cross, M., In Taylor, C. (Ed.) Numerical Methods in Laminar and Turbulent Flow '95, Vol. IX, Pineridge Press, Swansea, U.K., 1995, pp. 1269–1280.Google Scholar
  9. 9.
    Chow, P., Pericleous, K. and Cross, M., In Taylor, C. (Ed.) Numerical Methods in Laminar and Turbulent Flow '95, Vol. IX, Pineridge Press, Swansea, U.K., 1995, pp. 1076–1087.Google Scholar
  10. 10.
    Grandison, A., Patel, M.K. and Cross, M., manuscript in preparation.Google Scholar
  11. 11.
    Chow, P. and Cross, M., Int. J. Num. Meth. Eng., 35 (1992) 1849.Google Scholar
  12. 12.
    Pericleous, K., Hughes, M., Cross, M. and Cook, D., In Cross, M. and Campbell, J. (Eds.) Modelling of Casting, Welding and Advanced Solidification Processes VII, The Minerals, Metals and Materials Society, Warrendale, PA, 1995, pp. 213–221.Google Scholar
  13. 13.
    Demirdzic, I. and Martinovic, D., Comp. Meth. Appl. Mech. Eng., 109 (1993) 331.Google Scholar
  14. 14.
    Hattel, J.H. and Hansen, R.N., Appl. Math. Model., 19 (1995) 210.Google Scholar
  15. 15.
    Fryer Y.D. Bailey, C. Cross, M. and Lai, C.-H., Appl. Math. Model., 15 (1991) 639.Google Scholar
  16. 16.
    Bailey, C. and Cross, M., Int. J. Num. Meth. Eng., 38 (1995) 1757.Google Scholar
  17. 17.
    Taylor, G.A., Bailey, C. and Cross, M., Appl. Math. Model., 19 (1995) 746.Google Scholar
  18. 18.
    Cross, M., Bailey, C., Chow, P. and Pericleous, K., In Chenot, J., Wood, R. and Zienkiewicz, O. (Eds.) Numerical Methods in Industrial Forming Processes —NUMIFORM92, Balkema, Rotterdam, The Netherlands, 1992, pp. 787–792.Google Scholar
  19. 19.
    Ewer, J., Knight, B. and, Cowell, D., Adv. Eng. Soft., 22 (1995) 153.Google Scholar
  20. 20.
    McManus, K., Ph.D. Thesis, University of Greenwich, London, U.K., 1995.Google Scholar
  21. 21.
    McManus, K., Cross, M. and Johnson, S., In Satofuka, N., Periaux, J. and Ecer, A. (Eds.) Parallel Computational Fluid Dynamics — New Algorithms and Applications, North-Holland, Amsterdam, The Netherlands, 1995, pp. 287–296.Google Scholar
  22. 22.
    McManus, K., Walshaw, C., Cross, M., Leggett, P. and Johnson, S., In Ecer, A., Periaux, J., Satofuka, N. and Taylor, S. (Eds.) Parallel Computational Fluid Dynamics — Implementation and Results Using Parallel Computers, Elsevier, Amsterdam, The Netherlands, 1996, pp. 673–680.Google Scholar
  23. 23.
    Bailey, C., Chow, P., Cross, M., Pericleous, K. and Fryer, Y., Proc. R. Soc. London, A452 (1996) 459.Google Scholar
  24. 24.
    Pericleous, K., Hughes, M., Cook, D. and Cross, M., 14th Riga International Conference on Magnetohydrodynamics, Riga, Lithuania, Plemium Press, London, U.K., 1996, in press.Google Scholar
  25. 25.
    SPECTRUM, Centric Corporation, Palo Alto, CA.Google Scholar
  26. 26.
    Parallel Processing for Scientific Computing, Conference Proceedings, Society for Industrial and Applied Mathematics, Philadelphia, PA.Google Scholar
  27. 27.
    Parallel Computational Fluid Dynamics, Conference Proceedings, North-Holland, Amsterdam, The Netherlands.Google Scholar
  28. 28.
    Domain Decomposition Methods for Partial Differential Equations, Conference Proceedings, Society for Industrial and Applied Mathematics, Philadelphia, PA.Google Scholar
  29. 29.
    Williams, R.D., Concur. Pract. Exper., 3 (1991) 457.Google Scholar
  30. 30.
    Barnhard, S.T. and Simon, H.D., Concur. Pract. Exper., 6 (1994) 101.Google Scholar
  31. 31.
    Farhat, C. and Simon, H.D., TOP/DOMDEC — A software tool for mesh partitioning and parallel processing, Techn. Rep. RNR. 93-011, NASA, Ames, IA, 1993.Google Scholar
  32. 32.
    Hendrickson, B. and Leland, R., A multi-level algorithm for partitioning graphs, Techn. Rep. SAND 93-1301, Sandia Nat. Lab., Albuquerque, NM.Google Scholar
  33. 33.
    Vanderstraeten, D., Keunings, R. and Farhat, C., In Ecer, A. (Ed.) Parallel Computational Fluid Dynamics: New Trends and Advances, Elsevier, Amsterdam, The Netherlands, 1995, pp. 233–239.Google Scholar
  34. 34.
    Walshaw, C., Cross, M. and Everett, M.G., Int. J. Supercomput. Appl., 9 (1995) 280.Google Scholar
  35. 35.
    Walshaw, C., Cross, M., Everett, M.G., Johnson, S. and McManus, K., In Ferreira, A. and Robin, J. (Eds.) Proc. Irregular 95: Parallel Algorithms for Irregularly Structured Problems, Vol. 980 of LNCS, Springer, Berlin, Germany, 1995, pp. 121–126.Google Scholar
  36. 36.
    Johnson, S. and Cross, M., Appl. Math. Model., 15 (1991) 394.Google Scholar
  37. 37.
    Johnson, S., Cross, M. and Everett, M.G., Paral. Comput., 22 (1996) 197.Google Scholar
  38. 38.
    Johnson, S., Ierotheou, C.S. and Cross, M., Paral. Comput., 22 (1996) 227.Google Scholar
  39. 39.
    Leggett, P., Johnson, S. and Cross, M., Paral. Comput., 22 (1996) 259.Google Scholar
  40. 40.
    Ierotheou, C.S., Johnson, S., Cross, M. and Leggett, P., Paral. Comput., 22 (1996) 163.Google Scholar
  41. 41.
    Kohloff, S., Gumbsch, P. and Fischmeister, H.F., Phil. Mag., A64 (1991) 851.Google Scholar
  42. 42.
    Gao, H., manuscript submitted for publication.Google Scholar
  43. 43.
    Lu, H., Rafii-Tabor, H. and Cross, M., manuscript submitted for publication.Google Scholar
  44. 44.
    Tadmar, E.B., Ortiz, M. and Phillips, R., Phil. Mag., (1996) in press.Google Scholar
  45. 45.
    Todman, E.B., Phillips, R. and Ortiz, M., manuscript submitted for publication.Google Scholar
  46. 46.
    Rafii-Tabor, H. and Tambarajah, A., J. Nano Technol., in press.Google Scholar

Copyright information

© ESCOM Science Publishers B.V. 1996

Authors and Affiliations

  • Mark Cross
    • 1
  1. 1.Centre for Numerical Modelling and Process AnalysisUniversity of GreenwichLondonUK

Personalised recommendations