Summary
First of all we formulate a very general boundary initial value problem for the dynamics of a linear isotropic viscoelastic porous solid saturated with an inviscid and incompressible fluid. Then we establish a uniqueness theorem for a significative subclass of such continua. This theorem holds for bounded and unbounded domains and in the latter case we do not impose artificial conditions on the behaviour of the unknown fields at infinity.
Riassunto
In questa nota, dopo aver formulato un problema ai limiti molto generale per la dinamica di un solido isotropo viscoelastico lineare poroso saturato con un fluido non viscoso c incomprimibile, si stabilisce un teorema di unicità della soluzione per un’importante sottoclasse dei mezzi del tipo suddetto. Tale teorema sussiste per domini limitati e illimitati e in quest’ultimo caso non è imposta alcuna condizione sul comportamento all’infinito dei campi incogniti.
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References
A. Borrelli andM. C. Patria:Nuovo Cimento B,83, 61 (1984).
G. Szefer:Symposium Franco-Polonais, Problèmes non linéaires de mécanique (Cracovie, 1977), p. 585;G. Szefer andG. Pallotti:Biomechanics (in press).
L. Wheeler:J. Elasticity,1, 121 (1971).
P. Hartman:Ordinary Differential Equations (J. Wiley and Sons Inc., New York, N. Y., 1964).
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Work performed under the auspices of C.N.R. (G.N.F.M.) and supported by M.P.I.
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Borrelli, A., Patria, M.C. Uniqueness in boundary initial value problems for a viscoelastic porous solid saturated with a fluid. Nuov Cim B 88, 57–67 (1985). https://doi.org/10.1007/BF02729029
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DOI: https://doi.org/10.1007/BF02729029