2010
DOI: 10.1002/nag.978
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Analytical 3D transient elastodynamic fundamental solution of unsaturated soils

Abstract: SUMMARYUnsaturated soils are considered as porous continua, composed of porous skeleton with its pores filled by water and air. The governing partial differential equations (PDE) are derived based on the mechanics for isothermal and infinitesimal evolution of unsaturated porous media in terms of skeleton displacement vector, liquid, and gas scalar pressures. Meanwhile, isotropic linear elastic behavior and liquid retention curve are presented in terms of net stress and capillary pressure as constitutive relati… Show more

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Cited by 13 publications
(4 citation statements)
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“…In addition, Ashayeri et al . [] developed a closed‐form solution for the displacement of the soil skeleton, and liquid and gas pressures in unsaturated soils under Heaviside step loadings neglecting the effects of the dissipation of the shear wave in the medium. The aforementioned analytical methods, in general, came across with several constructive ideas, which may inspire some ongoing research seeking a precise solution for 1D consolidation for unsaturated geomaterials.…”
Section: Introductionmentioning
confidence: 99%
“…In addition, Ashayeri et al . [] developed a closed‐form solution for the displacement of the soil skeleton, and liquid and gas pressures in unsaturated soils under Heaviside step loadings neglecting the effects of the dissipation of the shear wave in the medium. The aforementioned analytical methods, in general, came across with several constructive ideas, which may inspire some ongoing research seeking a precise solution for 1D consolidation for unsaturated geomaterials.…”
Section: Introductionmentioning
confidence: 99%
“…The solution of an initial boundary‐value problem must accommodate governing conservation and constitutive laws, along with relevant boundary and initial conditions. Closed‐form analytical solutions are available for unsaturated flow in one dimension (Ashayeri et al, 2011; Shan et al, 2012; Wu et al, 2012). However, they are severely handicapped by numerous simplifying assumptions, making them unsuitable for general‐purpose problems.…”
mentioning
confidence: 99%
“…Analytical solutions were developed for the response of saturated and nearly saturated porous media under plane strain condition by Ulker and Rahman . An analytical transient 3D fundamental solution is presented in Ashayeri et al , . Gajo and Denzer provided the finite element implementation for dynamic analyses of saturated porous media at large strains with compressible solid and fluid constituents.…”
Section: Introductionmentioning
confidence: 99%