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Comments on the validity of a common category of constitutive equations. (English) Zbl 0316.73001


MSC:

74A20 Theory of constitutive functions in solid mechanics
74A99 Generalities, axiomatics, foundations of continuum mechanics of solids
74D99 Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials)
Full Text: DOI

References:

[1] Coleman, B. D. andW. Noll Revs. Mod. Phys.33, 239 (1961). · Zbl 0103.40804 · doi:10.1103/RevModPhys.33.239
[2] Lodge, A. S. Rheol. Acta7, 379 (1968); Trans. Farad. Soc.52, 20 (1956). · Zbl 0216.52002 · doi:10.1007/BF01984856
[3] Bernstein, B., E. A. Kearsley andL. J. Zapas Trans. Soc. Rheol.7, 391 (1963). · Zbl 0139.42701 · doi:10.1122/1.548963
[4] Ward, A. F. H. andG. M. Jenkins Rheol. Acta1, 110 (1958). · doi:10.1007/BF01968848
[5] Zapas, L. J. J. Res. Natl. Bur. Stds.70 A, 525 (1966).
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[9] Lodge, A. S., Elastic Liquids, p. 121 (London 1964).
[10] Lodge, A. S., 1965, as quoted in (8).
[11] Bird, R. B. andP. J. Carreau Chem. Eng. Sci.23, 427 (1968). · doi:10.1016/0009-2509(68)87018-6
[12] Bogue, D. C. Ind. Eng. Chem. Fund.5, 253 (1966). · doi:10.1021/i160018a016
[13] Carreau, P. J., Trans. Soc. Rheol. (in press).
[14] Coleman, B. D. Arch. Ratl. Mech. Anal.17, 1 (1964);17, 230 (1964).
[15] White, J. L., Discussion at Euromech Colloquium 37 (Naples 1972).
[16] Pearson, J. R. A., ibidem
[17] Philippoff, W. Trans. Soc. Rheol.10, 317 (1966). · doi:10.1122/1.549049
[18] Tanner, R. I. A.S.L.E. Trans.8, 179 (1965).
[19] White, J. L. andA. B. Metzner, J. Pol. Sci.7, 1867 (1963).
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