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Algorithms for motions with constant stretch history

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Summary

Necessary and sufficient conditions to establish that a velocity field gives rise to a motion with constant stretch history are developed and illustrated with a number of examples. Extensions to determine whether a given strain history is of the above type is also made.

Zusammenfassung

Es werden notwendige und hinreichende Kriterien dafür entwickelt, daß ein Geschwindigkeitsfeld eine Bewegung mit konstanter Deformationsvorgeschichte (MWCSH) erzeugt, und diese Kriterien werden an einer Anzahl von Beispielen veranschaulicht. Ebenso werden Erweiterungen angegeben, mit Hilfe derer man bestimmen kann, ob eine vorgegebene Deformationsvorgeschichte vom vorgenannten Typ ist.

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References

  1. Coleman, B. D. Trans. Soc. Rheol.6, 293–300 (1962).

    Google Scholar 

  2. Coleman, B. D. Arch. Ratl. Mech. Anal.9, 273–300 (1962).

    Google Scholar 

  3. Noll, W. Arch. Ratl. Mech. Anal.11, 97–105 (1962).

    Google Scholar 

  4. Noll, W. Arch. Ratl. Mech. Anal.2, 197–226 (1958).

    Google Scholar 

  5. Rivlin, R. S. andJ. L. Ericksen J. Ratl. Mech. Anal.4, 323–425 (1955).

    Google Scholar 

  6. Wang, C.-C. Arch. Ratl. Mech. Anal.20, 329–340 (1965).

    Google Scholar 

  7. Huilgol, R. R., Continuum Mechanics of Viscoelastic Fluids, Chaps. 1 and 2 (New York 1975).

  8. Wang, C.-C., Letter dated August 27, 1975.

  9. Lodge, A. S., Body Tensor Fields in Continuum Mechanics with Applications to Polymer Rheology, pp. 133–137 (New York 1974).

  10. Lodge, A. S. andK. Walters Math. Res. Center, Univ. Wisconsin Report. No. 1393 (1973); Rheol. Acta14, 573–580 (1975).

    Google Scholar 

  11. Yin, W.-L. andA.C. Pipkin Arch. Ratl. Mech. Anal.37, 111–135 (1970).

    Google Scholar 

  12. Oldroyd, J. G. Proc. Roy. Soc. Lond., Ser. A,283, 115–133 (1965).

    Google Scholar 

  13. Huilgol, R. R. Quart. Appl. Math.29, 1–15 (1971).

    Google Scholar 

  14. Coleman, B. D. andW. Noll Phys. Fluids5, 840–843 (1962).

    Google Scholar 

  15. Huilgol, R. R. Trans. Soc. Rheol.13, 513–526 (1969).

    Google Scholar 

  16. Chauré, A. C. R. Acad. Sc. Paris. Série A,274, 1839–1842 (1972).

    Google Scholar 

  17. Jones, T. E. R. andK. Walters Brit. J. Appl. Phys., (J. Phys. D), Ser. 2,2, 815–819 (1969).

    Google Scholar 

  18. Huilgol, R. R. Rheol. Acta14, 48–50 (1975).

    Google Scholar 

Download references

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Authors and Affiliations

  1. School of Mathematical Sciences, The Flinders University of South Australia, 5042, Bedford Park, S. A., South Australia

    R. R. Huilgol

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  1. R. R. Huilgol
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Huilgol, R.R. Algorithms for motions with constant stretch history. Rheol Acta 15, 120–129 (1976). https://doi.org/10.1007/BF01517502

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  • DOI: https://doi.org/10.1007/BF01517502

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