On the mechanical inadmissibility and thermodynamic admissibility according to the Clausius-Duhem inequality of the unbounded shear flow of a second-order fluid with negative stress power
Author:
R. R. Huilgol
Journal:
Quart. Appl. Math. 43 (1986), 431-434
MSC:
Primary 76A10; Secondary 35F10
DOI:
https://doi.org/10.1090/qam/846155
MathSciNet review:
846155
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Additional Information
K. R. Rajagopal, Rend. Accad. Sci. Torino (in press)
- R. S. Rivlin and J. L. Ericksen, Stress-deformation relations for isotropic materials, J. Rational Mech. Anal. 4 (1955), 323–425. MR 68413, DOI https://doi.org/10.1512/iumj.1955.4.54011
R. S. Rivlin, letter dated February 2, 1984
- Bernard D. Coleman, Kinematical concepts with applications in the mechanics and thermodynamics of incompressible viscoelastic fluids, Arch. Rational Mech. Anal. 9 (1962), 273–300. MR 154489, DOI https://doi.org/10.1007/BF00253351
- J. Ernest Dunn and Roger L. Fosdick, Thermodynamics, stability, and boundedness of fluids of complexity $2$ and fluids of second grade, Arch. Rational Mech. Anal. 56 (1974), 191–252. MR 351249, DOI https://doi.org/10.1007/BF00280970
- R. R. Huilgol, Continuum mechanics of viscoelastic liquids, Hindustan Publishing Corp., Delhi; Halsted Press [John Wiley & Sons, Inc.], New York, 1975. MR 0403390
K. R. Rajagopal, Rend. Accad. Sci. Torino (in press)
R. S. Rivlin and J. L. Ericksen, J. Rat. Mech. Anal. 4, 323 (1955)
R. S. Rivlin, letter dated February 2, 1984
B. D. Coleman, Arch. Rat. Mech. Anal. 9, 273 (1962)
J. E. Dunn and R. L. Fosdick, Arch. Rat. Mech. Anal. 56, 191 (1974)
R. R. Huilgol, Continuum mechanics of viscoelastic liquids, Hindustan Publ. Corp., Delhi and Halstead Press, New York, 1975
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Article copyright:
© Copyright 1986
American Mathematical Society
