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Generalized theory of thermoelastic diffusion with double porosity

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Języki publikacji
EN
Abstrakty
EN
The present paper focuses on the derivation of the constitutive relations and field equations for anisotropic thermoelastic medium with mass diffusion and double porosity. The variational principle, uniqueness and reciprocity theorems are also derived.
Słowa kluczowe
Rocznik
Strony
241--268
Opis fizyczny
Bibliogr. 36 poz.
Twórcy
autor
  • Department of Mathematics M.N. College Shahabad(M.)-136135, India
Bibliografia
  • 1. H.W. Lord, Y. Shulman, A generalized dynamical theory of thermoelasticity, Journal of the Mechanics and Physics of Solids, 15, 299–309, 1967.
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  • 5. W. Nowacki, Dynamical problems of thermodiffusion in solids-III, Bulletin of the Polish Academy of Sciences: Technical Sciences, 22, 257–266, 1974.
  • 6. W. Nowacki, Dynamic problems of diffusion in solids, Engineering Fracture Mechanics, 8, 261–266, 1976.
  • 7. H.H. Sherief, F.A. Hamza, H.A. Saleh, The theory of generalized thermoelastic diffusion, International Journal of Engineering Science, 42, 591–608, 2004.
  • 8. M. Aouadi, Generalized theory of thermoelastic diffusion for anisotropic media, Journal of Thermal Stresses, 31, 270–285, 2008.
  • 9. T. Kansal, R. Kumar, Variational principle, uniqueness and reciprocity theorems in the theory of generalized thermoelastic diffusion material, Qscience Connect, 2013, 1–18, 2013.
  • 10. M.A. Goodman, S.C. Cowin, A continuum theory for granular materials, Archive for Rational Mechanics and Analysis, 44, 249–266, 1972.
  • 11. J.W. Nunziato, S.C. Cowin, A nonlinear theory of elastic materials with voids, Archive for Rational Mechanics and Analysis, 72, 175–201, 1979.
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  • 16. M.A. Biot, General theory of three-dimensional consolidation, Journal of Applied Physics, 12, 155–164, 1941.
  • 17. G.I. Barenblatt, I.P. Zheltov, I.N. Kochina, Basic concept in the theory of seepage of homogeneous liquids in fissured rocks (strata), Journal of Applied Mathematics and Mechanics, 24, 1286–1303, 1960.
  • 18. J.Warren, P. Root, The behavior of naturally fractured reservoirs, Society of Petroleum Engineers Journal, 3, 245–255, 1963.
  • 19. R.K. Wilson, E.C. Aifantis, On the theory of consolidation with double porosity – II, International Journal of Engineering Science, 20, 1009–1035, 1982.
  • 20. M. Bai, D. Elsworth, J.C. Roegiers, Multiporosity/multipermeability approach to the simulation of naturally fractured reservoirs, Water Resources Research, 29, 1621–1633, 1993.
  • 21. K.N. Moutsopoulos, A.A. Konstantinidis, I. Meladiotis, Ch.D. Tzimopoulos, E.C. Aifantis, Hydraulic behavior and contaminant transport in multiple porosity media, Transport in Porous Media, 42, 265–292, 2001.
  • 22. B. Straughan, Modelling questions in multi-porosity elasticity, Meccanica, 51, 2957–2966, 2016.
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  • 25. M. Svanadze, Dynamical problems of the theory of elasticity for solids with double porosity, Proceedings in Applied Mathematics & Mechanics, 10, 309–310, 2010.
  • 26. M. Svanadze, Plane waves and boundary value problems in the theory of elasticity for solids with double porosity, Acta Applicandae Mathematicae, 122, 461–470, 2012.
  • 27. M. Svanadze, On the theory of viscoelasticity for materials with double porosity, Discrete and Continuous Dynamical Systems – Series B, 19, 2335–2352, 2014.
  • 28. M. Svanadze, Uniqueness theorems in the theory of thermoelasticity for solids with double porosity, Meccanica, 49, 2099–2108, 2014.
  • 29. M. Svanadze, External boundary value problems of steady vibrations in the theory of rigid bodies with a double porosity structure, Proceedings in Applied Mathematics & Mechanics, 15, 365–366, 2015.
  • 30. M. Svanadze, Plane waves and problems of steady vibrations in the theory of viscoelasticity for Kelvin–Voigt materials with double porosity, Archives of Mechanics, 68, 441–458, 2016.
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  • 34. E. Scarpetta, M. Svanadze, Uniqueness theorems in the quasi-static theory of thermoelasticity for solids with double porosity, Journal of Elasticity, 120, 67–86, 2015.
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Uwagi
PL
Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-69bdfb89-da81-465e-9eb4-f4d0d39c2f04
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