Summary Based on the consolidation theory raised by Fredlund, solutions for equal‐strain of unsaturated foundation with prefabricated vertical drain considering smear effect and resistance are analytically formulated in this paper. Firstly, governing equations excess pore pressures (i.e., pore‐air pore‐water pressures) under hypothesis derived introduction radial boundary conditions. Afterwards, obtained coupled solved applying general integration, decoupling process, Fourier sine series...

Geomembrane (GM) is a kind of cost-efficient material for pollutant barriers in landfills, while defects can occur during the installation or service periods, resulting mixed-type boundary condition (MTBC) at top surface underlying soil layer (SL). In this study, novel transform method employed to handle MTBC problem axisymmetric transport organic contaminant through defected GM, and semi-analytical solution derived evaluate concentration profiles spatiotemporal domain. The proposed...

This paper presents semianalytical solutions to the consolidation of drainage well foundations in unsaturated soils with radial semipermeable boundary subjected time-dependent loading, and condition is employed illustrate smear effect. First, governing equations excess pore-air pore-water pressures are transformed into equivalent partial differential equations. Afterwards, final based on free strain assumption obtained by introducing Bessel functions Laplace transform techniques. The inverse...

Abstract Geosynthetic materials are widely adopted as part of barrier liners in landfills, while the existence defects geomembrane (GM) will significantly reduce efficiency and lead to unexpected pollution surrounding environment. In this study, a novel semi‐analytical model was proposed investigate two‐dimensional (2D) migration organic contaminant through GM with strip underlying soil liner (SL). This has superiority consider concentration condition defects, describe more accurate profiles...

Abstract External disturbances were scarcely considered in the consolidation of unsaturated vertical drain foundation, which ideally permeable or impermeable boundary conditions always adopted to investigated patterns. In view this, by taking flows along and radial orientations simultaneously, this study proposes general analytical solutions for axisymmetric prefabricated foundations soils consider resistance, smear effect, time‐dependent loading under equal‐strain assumption. Through...

Abstract Insufficient bearing capacity of foundations is hazardous for construction engineering, and improper scheme can also lead to unexpected problems. Vertical drains are always installed in the soil accelerate consolidation process thus improve capacity. According theory proposed by Fredlund, unsaturated vertical drain foundation investigated with analytical solutions, which smear effect, resistance, depth‐dependent initial excess pore pressures (i.e., pore‐air pore‐water pressures)...

Abstract Due to the phenomenon of stress decay in space, total vertical varies with depth layered soil stratum. The physical properties unsaturated stratum and nonuniformity external load direction pose significant effects upon consolidation process, while related works have viewed modest development at present. Therefore, main objective this study is explore one‐dimensional (1D) patterns multilayered ground considering depth‐dependent by a semi‐analytical procedure. According 1D theory...

Over the past 35 years, studies conducted worldwide have revealed a threefold increase in incidence of thyroid cancer. Strain elastography is new imaging technique to identify benign and malignant nodules due its sensitivity tissue stiffness. However, there are certain limitations this technique, particularly terms standardization compression process, evaluation results several assumptions used commercial strain modes for purpose simplifying analysis. In work, we propose novel conditional...

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The composite liner system, which consists of geomembrane (GM) and geosynthetics clay (GCL), is usually used to prevent the toxic landfill leachate from migrating into environment. However, it difficult evaluate barrier capacity especially in case strip defects two-dimensional (2-D) scale. In view this, a 2-D model developed discuss contaminant transport through flawed liner, semi-analytical solution produced with combination integral transforms. soil concentration profiles generated by this...

This paper presents the analytical solution of radial consolidation a prefabricated vertical drain (PVD) foundation under unsaturated condition. In proposed modeling, air and water phases in are thought to dissipate horizontally toward drain, smear effect, resistance external time-dependent loading fully considered. The mathematical tools, namely general integration method, Fourier series expansion decoupling method constant variation utilized solve partial differential equations. Moreover,...

This paper studies the one‐dimensional (1D) consolidation behavior for unsaturated stratum subjected to piecewise cyclic loading. Combined with widely accepted theory of soils, a semianalytical method was employed investigate foundation considering loading in Laplace domain. Furthermore, reduced solutions were produced perform verification work accompanied by results existing literature. Finally, case study conducted explore characteristics under (i.e., triangular and trapezoidal loadings)....