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On the asymptotic partition of energy in the theory of swelling porous elastic soils

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Wybrane pełne teksty z tego czasopisma
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Języki publikacji
EN
Abstrakty
EN
The Cesaro means of various parts of the total energy are introduced in the context of the linear theory of swelling porous elastic soils. Then, the relations describing the asymptotic behavior of the Cesaro means are established.
Rocznik
Strony
91--107
Opis fizyczny
Bibliogr. 28 poz.
Twórcy
autor
  • Department of Mathematics, University of Iasi, 6600 Iasi, Romania
Bibliografia
  • 1. M. A. MURAD and J.H. CUSHMAN, Thermomechanical theories for swelling porous media with microstructure, Int. J . Engng Sci. 38, 517-564, 2000.
  • 2. L.E . PAYNE, J.F . RODRIGUES and B . STRAUGHAN, Effect of anisotropic permeability on Darcy's law, Math. Methods Appl. Sci. 24, 427-438, 2001.
  • 3. J .R. PHILIP, Hydrostatics and hydrodynamics in swelling soils, Water Resour. Res. 5, 1070- 1077, 1969.
  • 4. A.C. ERINGEN, A continuum theory of swelling porous elastic soils, Int. J. Engng Sci. 32, 1337-1349, 1994.
  • 5. T . HUECKEL, Water mineral interaction in hydromechanics of clays exposed to environmental loads: a mixture theory approach, Can. Geotech. J . 29, 1071-1086, 1992.
  • 6. T . HUECKEL, Effects of inter-phase mass transfer in heated clays: A mixture theory, Int. J . Engng Sci. 30, 1567-1582, 1992.
  • 7. T .K . KARALIS, Water flow in non-saturated swelling soil, Int. J. Engng Sci. 31, 751-774, 1993.
  • 8. R .M. BOWEN, Theory of mixtures, In Continuum Physics, A.C . ERINGEN [Ed.]' Vol. III. Academic Press, New York 1976.
  • 9. R.J. ATKIN and R .E . CRAINE, Continuum theories of mixtures: basic theory and historical development, Q.J. Mech. Appl. Math., 29, 209-245, 1976.
  • 10. R.J. ATKIN and R .E. CRAINE, Continuum theories of mixtures: applications, J. Inst. Math. Appl., 17, 153-207, 1976.
  • 11. A. BEDFORD and D.S. DRUMHELLER, Theory of immiscible and structured mixtures, Int .J. Engng Sci., 21, 863- 960, 1983.
  • 12. R . QUINTANILLA, On the linear problem of swelling porous elastic soils, J . Math. Anal. Appl., 269, 50-72, 2002.
  • 13. R. QUINTANILLA, On the linear problem of swelling porous elastic soils with incompressible fluid, Int.J. Engng Sci., 40, 1485-1494, 2002.
  • 14. C . GALE, Some uniqueness and continuous dependence results in the theory of swelling porous elastic soils, Int. J. Engng Sci. 40, 1211-1231, 2002.
  • 15. C. GALE, On the spatial behavior in the theory of swelling porous elastic soils, Int. J. Solids Structures, 39, 4151-4165.
  • 16. P.D. LAX and R .S . PHILLIPS, Scattering theory, Academic Press, New York 1967.
  • 17. A.R . BRODSKY, On the asymptotic behavior of solutions of the wave equation, Proc. Amer. Math. Soc., 18, 207-208, 1967.
  • 18. J .A. GOLDSTEIN, An asymptotic property of solutions of wave equations, Proc. Amer. Math. Soc., 23, 359-363, 1969.
  • 19. J .A. GOLDSTEIN, An asymptotic property of solutions of wave equations II, J. Math. Anal. Appl., 32, 392-399, 1970.
  • 20. R.J. DUFFIN, Equipartition of energy in wave motion, J . Math. Anal. Appl., 32, 386-391, 1970.
  • 21. H.A. LEVINE, An equipartition of energy theorem for weak solutions of evolutionary equations in Hilbert space: the Lagrange identity method, J. Differential Equations, 24, 197-210, 1977.
  • 22. W.A. DAY, Means and autocorrelations in elastodynamics, Arch. Rational Mech. Anal., 73, 243-256, 1980.
  • 23. S. CHIRITA, On the asymptotic partition of energy in linear thermoelasticity, Quart. Appl. Math., vol. XLV, 327- 340, 1987.
  • 24. S. CHIRITA, On the spatial and temporal behavior in linear thermoelasticity of materials with voids, J. Thermal Stresses, 24, 433-455, 2001.
  • 25. D. IE~AN, On the theory of mixtures of thermoelastic solids, J. Thermal Stresses, 14, 389-408, 1991.
  • 26. L. BRUN, Methodes energetiques dans les systemes evolutifs lineaires, J. Mecanique, 8, 125- 192, 1969.
  • 27. R. A . ADAMS, Sobolev Spaces, Academic Press, New York 1975.
  • 28. 1. HLAVACEK and J . NECAS, On inequalities of Korn's type, Arch. Rational Mech. Anal., 36, 305-334, 1970.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT4-0002-0093
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