Abstract
Thiw work is concerned with the formulation of constituent interactions and corresponding balance relations in classical mixture theory as based on a model for the (classical) constituent structure of such a mixture.
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References
Truesdell, C. and Toupin, R., ‘The classic field theories’, In: S. Flügge (ed.), Handbuch der Physik III/1, Springer-Verlag, 1960.
Müller, I., ‘A thermodynamic theory of mixtures of fluids’, Arch. Rat. Mech. Anal. 28(1968), 1–39.
Bowen, R., ‘Theory of mixtures’, In: A. C. Eringen (ed.), Continuum Physics III, Academic Press, 1976.
Truesdell, C., Rational Thermodynamics, Springer-Verlag, 1984.
Twiss, R. and A.C. Eringen, ‘Theory of mixtures for micromorphic materials-I: Balance laws’, Int. J. Eng. Sci. 9(1971), 1019–1044.
Hassanizadeh, M. and W.G. Gray, ‘General conservation equations for multiphase systems: 1. Averaging procedure’, Adv. Water Res. 2(1979), 131–144.
Passman, S.L., Nunziato, J.W. and Walsh, E.K., ‘A theory of multiphase mixtures’, In: C. Truesdell (ed.), Rational Thermodynamics, Springer-Verlag, 1984.
Dobran, F., Theory of Structured Multiphase Mixtures, Lecture Notes in Physics 372, Springer-Verlag, 1991.
Oliver, M., ‘On balanced interactions in mixtures’, Arch. Rat. Mech. Anal. 49(1972), 195–224.
Williams, W.O., ‘On the theory of mixtures’, Arch. Rat. Mech. Anal. 51(1973), 239–260.
Sampaio, R., ‘An axiomatic theory of mixture with diffusion’, Arch. Rat. Mech. Anal. 62(1976), 99–114.
Williams, W.O., ‘On stresses in mixtures’, Arch. Rat. Mech. Anal. 70(1979), 251–260.
Sampaio, R. and Williams, W.O., ‘Thermodynamics of diffusing mixtures’, J. de Mécanique 18(1979), 19–45.
Noll, W., ‘Lectures on the foundations of continuum mechanics and thermodynamics’, Arch. Rat. Mech. Anal. 52(1973), 62–92.
Capriz, G. and Virga, E.G., ‘Interactions in general continua with microstructure’, Arch. Rat. Mech. Anal. 114(1991), 323–342.
Truesdell, C., ‘Sulle basi della termomeccanica’, Rend. Lincei (8) 22(1957), 33–38.
Noll, W. and Virga, E.G., ‘Fit regions and functions of bounded variation,’ Arch. Rat. Mech. Anal. 101(1988), 1–21.
Noll, W. and Virga, E.G.: ‘On edge interactions and surface tension’, Arch. Rat. Mech. Anal. 114(1991), 1–31.
McLane, S. and Birkhoff, G., Algebra, Macmillan, 1970.
Truesdell, C., A First Course in Rational Mechanics, 2nd edition, Academic Press, 1993.
Svendsen, B., ‘A local superposed-constituent, volume-fraction mixture theory based on relative motion’, Int. J. Non-Linear Mech. 29(1994), 845–860.
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SVENDSEN, B. On the Constituent Structure of a Classical Mixture. Meccanica 32, 13–32 (1997). https://doi.org/10.1023/A:1004262924327
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DOI: https://doi.org/10.1023/A:1004262924327