Boundary conditions in the presence of internal variables

Journal of Non-Equilibrium Thermodynamics

Volumn 27, Issue 4, 2002, Pages 327-334

  Cimmelli, Vito Antonio ^a  

^a UNIVERSITY OF BASILICATA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; FREE ENERGY; GRADIENT METHODS; THERMAL CONDUCTIVITY; VISCOSITY;

INTERNAL VARIABLES;

HEAT CONDUCTION;

EID: 0036906187     PISSN: 03400204     EISSN: None     Source Type: Journal    
DOI: 10.1515/JNETDY.2002.019     Document Type: Article

References (24)

1. Maugin, G.A., Muschik, W., Thermodynamics with internal variables. Part I. General concepts, J. Non-Equilib. Thermodyn., 19 (1994), 217-249.
2. Maugin, G.A., Muschik, W., Thermodynamics with internal variables. Part II. Applications, J. Non-Equilib. Thermodyn., 19 (1994), 250-289.
3. Muschik, W., Non-Equilibrium Thermodynamics with Applications to Solids, CISM Courses and Lectures, no. 336, Springer-Verlag, Berlin, 1994.
4. Kluitenberg, G.A., Ciancio, V., On linear dynamical equations of state for isotropic media I, Physica, 93A (1978), 273-286.
5. Bampi, F., Morro, A., Non-equilibrium thermodynamics: A hidden variable approach, in: Recent Developments in Non-Equilibrium Thermodynamics, Eds. J. Casas-Vazquez, D. Jou, G. Lebon, pp. 211-232, Springer-Verlag, Berlin, 1984.
6. Bampi, F., Morro, A., Relaxation phenomena in irreversible thermodynamics, Atti Sem. Mat. Fis. Univ. Modena, 30 (1981), 1-15.
7. Maugin, G.A., Internal variables and dissipative structures, J. Non-Equilib. Thermodyn., 15 (1990), 173-192.
8. Kosiński, W., Wojno, W., Gradient generalization to internal state variable approach, Arch. Mech., 47(3) (1995), 523-536.
9. Cimmelli, V.A., Kosiński, W., Gradient generalization to internal state variables and a theory of superfluidity, J. Theoret. Appl. Mech., 35(4) (1997), 763-779.
10. Cimmelli, V.A., Rogolino, P., On the mathematical structure of thermodynamics with internal state variables, J. Non-Equilib. Thermodyn. 26(3) (2001), 231-242.
11. Valanis, K.C., A gradient theory of internal variables, Acta Mechanica, 116 (1996), 1-14.
12. Valanis, K.C., A gradient theory of finite viscoelasticity. Arch. Mech., 49(3) (1997), 589-609.
13. Valanis, K.C., A gradient thermodynamic theory of self-organization, Acta Mechanica, 127 (1998), 1-23.
14. Waldman, L., Non-equilibrium thermodynamics of boundary conditions, Z. Naturforschg., 22a (1967), 1269-1286.
15. Drouot, R., Maugin, G.A., Application of diffusive internal variables in complex fluids, J. Non-Newtonian Fluid Mech., 96 (2001), 31-43.
16. Coleman, B.D., Owen, D.R., A mathematical foundation for thermodynamics, Arch. Rat. Mech. Anal., 54 (1974), 1-104.
17. Muschik, W., Aspects of Non-Equilibrium Thermodynamics, World Scientific, Singapore, 1990.
18. Muschik, W., Ehrentraut, H., An amendment to the Second Law, J. Non-Equilib. Thermodyn., 21 (1996), 175-192.
19. Truesdell, C., A First Course in Rational Continuum Mechanics, Second Edition, Academic Press, San Diego, 1991.
20. Verhás, J., Thermodynamics and Rheology, Kluwer Academic Publisher, Dordrecht, 1997.
21. Coleman, B.D., Gurtin, M.E., Thermodynamics with internal state variables, J. Chem. Phys., 47 (1967), 597-613.
22. Kosiński, W., Perzyna, P., Analysis of acceleration waves in material with internal parameters, Arch. Mech., 24(4) (1972), 629-643.
23. Gyarmati, I., On the wave approach of thermodynamics and some problems of non-linear theories, J. Non-Equilib. Thermodyn., 2 (1977), 233-260.
24. Smith, G.F., On the isotropic functions of symmetric tensors, skew-symmetric tensors and vectors., Int. J. Engng. Sci., 9 (1971), 899-916.