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1935 Burnett, D., The distribution of molecular velocities and the mean motion in a non-uniform gas. Proc. Lond. Math. Soc. 40, 382–435.
1956 Ikenberry, E., & C. Truesdell, On the pressures and the flux of energy in a gas according to Maxwell's kinetic theory. I. J. Rational Mech. Anal. 5, 1–54.
1958 Noll, W., A mathematical theory of the mechanical behavior of continuous media. Arch. Rational Mech. Anal. 2, 197–226.
1965 Truesdell, C., & W. Noll, The Non-linear Field Theories. In Handbuch der Physik, Vol. III/3 (ed. S. Flügge) Berlin-Heidelberg-New York: Springer.
1970 Chapman, S., & T. G. Cowling, The Mathematical Theory of Non-Uniform Gases (Revised Third Edition) London: Cambridge University.
1972 Müller, L, On the frame dependence of stress and heat flux. Arch. Rational Mech. Anal. 45, 241–250.
1973 Edelen, D. G. B., & J. A. McLennan, Material indifference: a principle or a convenience. Int. J. Eng. Sc. 11, 813–817.
1973 Noll, W., Lectures on the foundations of continuum mechanics and thermodynamics. Arch. Rational Mech. Anal. 52, 62–92.
1974 Roberts, P. H., & R. J. Donnelly, Superfluid mechanics. In Annual Review of Fluid Mechanics Vol. 6 (ed. M. van Dyke, W. G. Vincenti, & J. V. Wehausen) Palo Alto: Annual Reviews.
1975 Wang, C. C., On the concept of frame-indifference in continuum mechanics and in the kinetic theory of gases. Arch. Rational Mech. Anal. 58, 381–393.
1976 Söderholm, L. H., The principle of material frame-indifference and material equations of gases. Int. J. Eng. Sc. 14, 523–528.
1976 Truesdell, C., Correction of two errors in the kinetic theory of gases which have been used to cast unfounded doubt upon the principle of material frame-indifference. Meccanica 11, 196–199.
1977 Hills, R. N., & P. H. Roberts, Superfluid mechanics for a high density of vortex lines. Arch. Rational Mech. Anal. 66, 43–71.
1977 Truesdell, C., A First Course in Rational Continuum Mechanics. New York-San Francisco-London: Academic Press.
1981 Speziale, G., On frame-indifference and iterative procedures in the kinetic theory of gases. Int. J. Eng. Sc. 19, 63–73.
1981 Woods, L. C., The bogus axioms of continuum mechanics. Bull. Inst. Math. Applications 17, 98–102.
1982 Murdoch, A. I., On material frame-indifference. Proc. R. Soc. Lond. A 380, 417–426.
1983 Murdoch, A. I., The motivation of continuum concepts and relations from discrete considerations. To appear in Q. J. Mech. Appl. Math.
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Communicated by M. E. Gurtin
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Murdoch, A.I. On material frame-indifference, intrinsic spin, and certain constitutive relations motivated by the kinetic theory of gases. Arch. Rational Mech. Anal. 83, 185–194 (1983). https://doi.org/10.1007/BF00282161
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DOI: https://doi.org/10.1007/BF00282161