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Mathematical Modelling of Diffusive and Mechanical Processes in Bodies with Microstructure

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EN
Abstrakty
EN
The continuum-thermodynamical approach is proposed for describing mechanical and diffusive processes in bodies with microstructure. Different physical states of admixture particles in a local body structure are taken into account. Features of a stresseddeformable state are discussed on an example of diffusive saturation of a layer in this case.
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  • 1Centre of Mathematical Modelling of Pidstryhach Institute of Applied Problems of Mechanics and Mathematics The Ukrainian National Academy of Sciences Dudayev Str. 15, 79005 Lviv, Ukraine, burak@cmm.lviv.ua
Bibliografia
  • [1] Physical metallurgy, Ed. E. W. Cahn, Amsterdam, North-Holland Pub. Com, 1965.
  • [2] T. I. Kucher, Diffusion from vapour phase into a crystal with account two possible diffusion mechanisms and exchange between them. Physics of Solid State 6(3), 801-810 (1964).
  • [3] E. C. Aifantis, Continuum basis for diffusion in regions with multiple diffusivity. J. Appl. Phys. 50(3), 1334-1338 (1979).
  • [4] E. C. Aifantis and J. M. Hill, On the theory of diffusion in media with double diffusivity. I. Basic mathematical results. Q. J. Mech. Math. 33(1), 1-21 (1980).
  • [5] E. C. Aifantis, A new interpretation of diffusion in highdiffusivity paths – a continuum approach. Acta Met. 27, 683-691 (1982).
  • [6] Ya. I. Burak, B. P. Galapats and Ye. Ya. Chaplya, Deformation of electrically conducting solids taking into consideration heterodiffusion of charged impurity particles. J. Materials Science 16(5) 395-400 (1981).
  • [7] Ya. I. Burak, B. P. Galapats and Ye. Ya. Chaplya, Basic equations for process of deformation of electrically conducting solid solutions with account distinct admixture diffusion ways. Mathematical Methods and Physicomechanical Fields 11, 60-66 (1980).
  • [8] A. C. Eringen, Mechanics of Continuum, New York: John Wiley and Sons (1967).
  • [9] S. R. De Groot and P. Mazur, Non-equilibrium Thermodynamics, New York: Dover Publications, 1984.
  • [10] Y. Y. Burak, Y. Y. Chaplya and O. Y. Chernukha, Continual-thermodynamical models of solid solution mechanics, Kyiv: Naukova Dumka (2006).
  • [11] I. Gyarmati, Non-equilibrium Thermodynamics, New York: Springer-Verlag (1970).
  • [12] I. Prigogine, Introduction to Thermodynamics of Irreversible Processes, Illinois: Sprinfild (1955).
  • [13] J. W.Gibbs, The Collected Works of J. W. Gibbs, v. 1, New Haven: Yale University Press (1948).
  • [14] Y. S. Podstrihach and R. N. Shvets, Thermoelastisity of thin shells, Kyiv: Naukova Dumka (1978).
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Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BUJ6-0023-0070
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