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Original Articles

Application of the thermodynamic extremal principle to modeling of thermodynamic processes in material sciences

, &
Pages 3699-3707 | Received 03 May 2005, Accepted 20 Jul 2005, Published online: 21 Feb 2007

References

  • Callen , HB . 1960 . Thermodynamics , New York : Wiley .
  • Groot , SR and Mazur , P . 1962 . Non-Equilibrium Thermodynamics , Amsterdam : North-Holland .
  • Prigogine , I . 1967 . Introduction to Thermodynamics of Irreversible Processes , New York : Interscience . Third edn
  • Rajagopal , KR , Srinivasa , AR and Angew , Z . 2004 . Math. Phys. , 55 : 861
  • Onsager , L . 1931 . Phys. Rev. , 37 : 405
  • Donnelly , RJ , Herman , R and Prigogine , I . 1967 . Non-Equilibrium Thermodynamics, Variational Techniques and Stability , Chicago : The University of Chicago Press . Second edn
  • Nettleton , RE . 1986 . J. Phys. A: Math. Gen. , 19 : L295
  • Sieniutycz , S and Berry , RS . 1989 . Phys. Rev. A , 40 : 348
  • Vázquez , E , del Rio , JA and López de Haro , M . 1997 . Phys. Rev. E , 55 : 5033
  • Graham , R and Physik , Z . 1977 . B 26 : 281
  • Garrod , C . 1984 . J. Non-Equilib. Thermodyn. , 9 : 97
  • Grabert , H and Green , MS . 1979 . Phys. Rev. , A19 : 1747
  • Müller , I and Ruggeri , T . 1993 . Extended Thermodynamics , Berlin : Springer-Verlag .
  • Jou , D , Casas-Vázquez , J and Lebon , G . 1993 . Extended Irreversible Thermodynamics , Berlin, Heidelberg, New York : Springer-Verlag . et al.
  • Kleidon , A and Lorenz , RD . 2005 . Non-Equilibrium Thermodynmics and the Production of Entropy , Berlin, Heidelberg, New York : Springer-Verlag . et als.
  • Ziegler , H . 1961 . Ing.-Arch , 30 : 410
  • Ziegler , H . 1963 . Progress in Solid Mechanics , Edited by: Sneddon , IN and Hill , R . Vol. 4 , 91 – 193 . Amsterdam : North-Holland . edited by
  • Gyarmati , I . 1970 . Non-Equilibrium Thermodynamics , Berlin, Heidelberg, New York : Springer-Verlag . et al.
  • Svoboda , J , Turek , I and Sklenička , V . 1990 . Acta Metall. Mater. , 38 : 573
  • Svoboda , J and Turek , I . 1991 . Philos. Mag. B , 64 : 749
  • Cocks , ACF , Gill , SPA and Pan , J-Z . 1999 . Advances in Applied Mechanics , Edited by: Giessen , Evd and Wu , ThY . Vol. 36 , 81 – 162 . San Diego : Academic Press . et al, edited by
  • Gill , SPA , Cornforth , MG and Cocks , ACF . 2001 . Int. J. Plasticity , 17 : 669
  • Svoboda , J and Lukáš , P . 2000 . Acta Mater. , 48 : 2519
  • Svoboda , J , Fischer , FD and Fratzl , P . 2002 . Acta Mater. , 50 : 1369 et al.
  • Fischer , FD , Svoboda , J and Fratzl , P . 2003 . Phil. Mag. A , 83 : 1075
  • Svoboda , J , Gamsjäger , E and Fischer , FD . 2004 . Acta Mater. , 52 : 959 et al.
  • Svoboda , J , Fischer , FD and Fratzl , P . 2004 . Mater. Sci. Eng. A , 385 : 166 et al.
  • Kozeschnik , E , Svoboda , J and Fratzl , P . 2004 . Mater. Sci. Eng. A , 385 : 157 et al.
  • Truesdell , C . 1984 . Rational Thermodynamics , 365 – 395 . New York Berlin Heidelberg Tokyo : Springer-Verlag . Second edn

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