caa a22 4500 465756603 CHVBK 20180323111849.0 cr unu---uuuuu 170327e19900101xx s 000 0 eng 10.1007/BF00386467 doi (NATIONALLICENCE)springer-10.1007/BF00386467 Bree J. Mathematics Department, Heriot-Watt University, Ricarton, EH14 4AS, Edinburgh, Scotland, UK aut Non-equilibrium thermodynamics of heterogeneous systems and history dependent materials [Elektronische Daten] [J. Bree] A non-equilibrium thermodynamic theory due to Bree and Beevers [1] has been applied by Bree [2] to a certain class of mixtures, referred to in [2] as simple mixtures where it is found that global and local entropy inequalities can be obtained for the whole mixture, for each of its constituents or for any combination of its constituents, each of these entropy inequalities being derived from the single statement of the second law of thermodynamics adopted in [1]. The present work is primarily concerned with developing the theory further in order to include the more complex class of mixtures referred to in [2] as heterogeneous systems. In contrast with the thermodynamics of simple mixtures, it is found that for heterogeneous systems global and local entropy inequalities can be obtained only for the whole mixture and, in connection with this, it is felt that an early controversy in the subject is resolved. It is shown how the results obtained for heterogeneous systems may be used to provide a thermodynamic foundation for two methods of representing history dependent materials. Kluwer Academic Publishers, 1990 Applied Scientific Research Kluwer Academic Publishers 47/1(1990-01-01), 65-96 0003-6994 47:1<65 1990 47 10494 https://doi.org/10.1007/BF00386467 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00386467 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Bree J. Mathematics Department, Heriot-Watt University, Ricarton, EH14 4AS, Edinburgh, Scotland, UK aut NATIONALLICENCE 773 0- Applied Scientific Research Kluwer Academic Publishers 47/1(1990-01-01), 65-96 0003-6994 47:1<65 1990 47 10494 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer