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Dissipation and coupled fields

Autorzy
Identyfikatory
Warianty tytułu
Konferencja
Workshop on dynamic problems in anisotropic solids (3; 19.11.2003; Kielce, Polska)
Języki publikacji
EN
Abstrakty
EN
The evolution criterion and the variational formulation of the coupled phenomena in the materials with the inner structure are presented. The evolution criterion, as formulated by Glansdorff and Prigogine, allows to find the kinetic potential descrobing a dissipative process. This paper deals with the construction of the kinetic potential for micropolar media embedded in the dielectric fluid and subjected to the coupled field interactions. Generalization deals with the dissipative mechanical, thermal,and electromagnetic processes occurring in the micropolar medium. The formulated criterion is aplied to obtain the equilibrium conditions for micropolar elastic solids, micropolar electromagnetic fluids, and liquid crystals.The variational principle is constructed for micropolar media in external fields of forces on the example of liguid crystals subjected to the influence of thermal and electromagnetic fields. The problem of the dissipative processes produced in liquid crystals by the exernal end internal fields is considered.
Słowa kluczowe
Rocznik
Tom
Strony
71--101
Opis fizyczny
Bibliogr. 22 poz.
Twórcy
autor
  • Polish-Japanese Institute of Information Technology Institute of the Fundamental Technological Research, Polish Academy of Sciences, rkotow@pjwstk.edu.pl
Bibliografia
  • Anthony, K.H.: A new approach to thermodynamics of irreversible processes by means of Lagrange formalism. In: C.W. Kilimster [Ed.], Disequilibrium and Self-Organization, D. Reidel Publ. Comp., (1986), 75-92.
  • Berdichevski, V.L.: Variational principles of the continuum mechanics. Nauka, Moscow, (1983) (in Russian).
  • Eringen A.C.; Kafadar, C.B.: Polar field theories, in: Continuum physics, vol. 4. Academic Press, New York, (1976), 1-73.
  • Eringen, A.C.: Continuum theory of nematic liquid crystals subject to electromagnetic fields. J. Math. Phys., 20, (1979), 2671-2681.
  • Eringen, A.C.; Maugin, G.A.: Electrodynamics of continua I. Foundations and solid media. Springer Verlag, New York, (1990).
  • Eringen, A.C.; Maugin, G.A.: Electrodynamics of continua II. Fluids and complex media. Springer Verlag, New York, (1990).
  • Eringen, A.C.: Microcontinuum field theories I. Foundations and solids. Springer Verlag, New York, (1999).
  • Glansdorf, P.; Prigogine, L: Thermodynamic theory of structure, stability and fluctuations. Wiley, London, 1971.
  • Grot, R.A.: Thermodynamics of a continuum theory with microstructure. Int. J. Eng. Sci., 7(5), (1969), 801-807.
  • Grot, R.A.: Relativistic continuum physics: electromagnetic interactions, in: Continuum physics, vol. 3, Academic Press, New York, (1976), 130-219.
  • Ingarden, R.S.; Jamiołkowski, A.: Classical electrodynamics. Elsevier-PWN, Amsterdam, Warszawa, 1985.
  • Kotowski, R.; Radzikowska, E.: Variational principle in thermo - electro - magneto - dynamics of micropolar media. J. Techn. Phys., 39(2), (1998), 283-295.
  • Kotowski, R.; Radzikowska, E.: Variational approach to the thermo - elcctrodymamics of liquid crystals. Int. J. Engng Sci., 37, (1999), 771-802.
  • Kotowski, R.; Radzikowska, E.: Evolution criterion in the coupled field theory. Technische Mechanik, 22(2), (2002), 141-151.
  • Muschik, W.; Papenfuss, C.: An evolution criterion of nonequilibrium thermodynamics and its application to liquid crystals. Physica A, 201, (1993), 515-526.
  • Muschik, W.; Trostel, R.: Variational principles in thermodynamics (Survey). ZAMM, 63, (1983), T190 T192, (GAMM-Tagung 1982).
  • Natanson, L.: On the laws of irrevesible phenomena, Phil. Mag., 41(252), (1986), 385-406.
  • Papenfuss, C.; Muschik, W.: Evolution criterion in nonequilibrium and a variational principle for equilibrium states of free-standing liquid crystal films. Physical Review E, 56(4), (1997), 4275-4281.
  • Radzikowska, E.: Variational approach to the interactions of electromagnetic fields with nematic liquid crystals. I. Reversible processes. Bull. Pol. Ac. Sci., Tech. Sci., 32(5-6), (1984), 235-243.
  • Radzikowska, E.: Variational approach to the interactions of electromagnetic fields with nematic liquid crystals. II. Irreversible processes. Bull. Pol. Ac. Sci., Tech. Sci., 32(5-6), (1984), 245-247.
  • Radzikowska, E.; Kotowski, R.: Muschik, W.: Evolution criterion for electromagnetic bodies. J. Non-Equilib. Thermodyn., 26(3), (2001), 215-250.
  • Sedov, L.T.: Mathematical methods of construction of new models of continuous media. Usp. Math. Nauk, 20(5), (1965), 121-180, (in Russian)
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BSW2-0013-0008
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