On the definition of stress rate

Masur, E. F.

doi:10.1090/qam/133969

Author: E. F. Masur
Journal: Quart. Appl. Math. 19 (1961), 160-163
MSC: Primary 73.99
DOI: https://doi.org/10.1090/qam/133969
MathSciNet review: 133969
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William Prager, An elementary discussion of definitions of stress rate, Quart. Appl. Math. 18 (1960/61), 403–407. MR 116567, DOI https://doi.org/10.1090/S0033-569X-1961-0116567-4

G. Jaumann, Geschlossenes System physikalischer und chemischer Differenzialgesetze, Sitzungsber. Akad. Wiss. Wien (2a) 120, 385 (1911)

P. M. Naghdi and W. L. Wainwright, On the time derivative of tensors in mechanics of continua, Tech. Rept. No. 11, NR 064–436, Univ. of California, Berkeley, Calif. To be published in this journal

L. I. Sedov, Different definitions of the rate of change of a tensor, J. Appl. Math. Mech. 24 (1960), 579–586. MR 0119549, DOI https://doi.org/10.1016/0021-8928%2860%2990165-9
J. G. Oldroyd, On the formulation of rheological equations of state, Proc. Roy. Soc. London Ser. A 200 (1950), 523–541. MR 35192, DOI https://doi.org/10.1098/rspa.1950.0035
J. G. Oldroyd, Non-Newtonian effects in steady motion of some idealized elastico-viscous liquids, Proc. Roy. Soc. London Ser. A 245 (1958), 278–297. MR 94085, DOI https://doi.org/10.1098/rspa.1958.0083
C. Truesdell, Corrections and additions to “The mechanical foundations of elasticity and fluid dynamics”, J. Rational Mech. Anal. 2 (1953), 593–616. MR 57128, DOI https://doi.org/10.1512/iumj.1953.2.52030
Barbara A. Cotter and R. S. Rivlin, Tensors associated with time-dependent stress, Quart. Appl. Math. 13 (1955), 177–182. MR 69700, DOI https://doi.org/10.1090/S0033-569X-1955-69700-5
D. C. Drucker, A more fundamental approach to plastic stress-strain relations, Proceedings of the First U. S. National Congress of Applied Mechanics, Chicago, 1951, The American Society of Mechanical Engineers, New York, N. Y., 1952, pp. 487–491. MR 0054502