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ISSN Imprimir: 1091-028X
ISSN On-line: 1934-0508
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ANALYSIS OF ONE-DIMENSIONAL CONSOLIDATION BEHAVIOR OF SATURATED SOILS SUBJECT TO AN INNER SINK BY USING FRACTIONAL KELVIN−VOIGT VISCOELASTIC MODEL
RESUMO
One-dimensional consolidation of viscoelastic saturated soils with fractional order derivative induced by an inner sink is investigated analytically in this work. To accurately describe the rheological behavior of saturated soils, the theory of fractional calculus is introduced to the Kelvin-Voigt viscoelastic model. The exact solution to one-dimensional consolidation of fractional Kelvin-Voigt viscoelastic saturated soils in the transformed domain is formulated by applying the Laplace transform, and the semianalytical solution in physical space is obtained after implementing numerical Laplace inversion by using the Crump method. To verify the presented analytical solution, the simplified form of the solution presented in the case of linear elasticity is compared to the available analytical solution in the literature. The agreement confirms the validity of the presented analytical solution in some sense. Furthermore, based on the analytical solution obtained, the one-dimensional consolidation behavior of viscoelastic saturated soils with fractional order derivative is studied in detail. The presented model and solution are of benefit to better understand the nonlinear creeping behavior of consolidation of viscoelastic saturated soils.
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