## What is/are Isotropic Soil?

Isotropic Soil - A rigorous and generic similarity solution is developed for assessment of the undrained expansion responses of a cylindrical cavity expansion in K₀-consolidated anisotropic soils.^{[1]}Aiming at the vibration isolation in transversely isotropic soil, a T-shaped partially embedded periodic barrier for surface waves is proposed, and its shielding performance is explored by using fi.

^{[2]}The near-surface deformation of anisotropic soil increased significantly, which endangered the serviceability of buildings aboveground.

^{[3]}An explicit analytical solution is obtained to an old problem of a potential steady-state 2-D saturated Darcian flow in a homogeneous isotropic soil towards systematic drains modeled as line sinks (submerged drains under an overhanging of a phreatic surface), placed on a horizontal impervious substratum, with a constant-rate infiltration from the vadose zone.

^{[4]}

^{[5]}The anisotropic soil properties considered include the plane strain shear strength ratio (i.

^{[6]}On the basis of this mechanism, a new WRC model was proposed for isotropic and anisotropic soils.

^{[7]}The SANICLAY model, which could well represent the mechanical behaviour of the anisotropic soil and overconsolidated soil, is employed in the present solution to model the responses of the soil around the expanded cavity.

^{[8]}An efficient theoretical solution is proposed to investigate the time history response of an elastic circular thin plate bonded on multilayered transversely isotropic soils.

^{[9]}According to a refined Vlasov soil model, the static problem of beams lying on transversely isotropic soils can be solved by an iterative method.

^{[10]}The model is further incorporated with anisotropic critical state theory to simulate anisotropic soil behavior.

^{[11]}The soil with fabric anisotropy is herein characterized by a random field, and the factor of safety (FS) of an anisotropic soil slope is calculated by the finite element method.

^{[12]}However, the majority of the available solutions, such as formulations and graphics, have been developed only considering isotropic soils, which means that no realistic results can be obtained since media are commonly anisotropic.

^{[13]}To explicitly demonstrate that the use of soil anisotropy can reduce uncertainties in canopy radiative transfer simulations, we simulated the canopy BRF with Lambertian soil and with anisotropic soil using a three-dimensional (3D) radiative transfer model under different soil moisture content (SMC) levels, canopy cover (CC) levels and solar zenith angles (SZAs) with simulated realistic forest scenes.

^{[14]}These bonds are obtained according to Darcy’s law, filtration for homogeneous and isotropic soils.

^{[15]}This paper presents a multiscale computational study on a strip footing resting on an anisotropic soil foundation.

^{[16]}A new total stress failure criterion applicable to both isotropic and anisotropic soils under undrained conditions is proposed.

^{[17]}In natural slopes, apart from isotropic and transversely anisotropic soil fabric, rotated anisotropic soil fabric is also commonly observed due to deposition and weathering.

^{[18]}Hydraulic conductivity is considered to be an anisotropic soil property.

^{[19]}The factors are useful in estimating the elastic settlement of shallow foundations on cross-anisotropic soils, when the soil properties along two perpendicular directions are known.

^{[20]}More than 975 runs were executed using finite difference code with differential (H=5,10,15m), were studied over isotropic soil foundation.

^{[21]}Within the framework of limit analysis, the seismic stability of reinforced 3D slope in unsaturated soils is investigated, and the effects of nonhomogeneous and anisotropic soils are considered.

^{[22]}Multiple (327) runs were executed in the finite difference code for a set difference between head upstream and downstream (H=10 m) withvarious cutoffs depth (d/b), with kx/ky = 1 representing isotropic soil.

^{[23]}In this study, a method of establishing 3D non-orthogonal elastoplastic (NOEP) constitutive models for transversely isotropic soil (TI-soil) is proposed.

^{[24]}A detailed parametric investigation reveals that the nonlinear wave-induced seabed response is also affected significantly by cross-anisotropic soil parameters.

^{[25]}Field experiments were conducted (December 2014 to May 2015) in a small irrigation scheme (60 ha) to study the effect of flood irrigation on anisotropic soils with shallow groundwater in the Lake Tana floodplains of Ethiopia.

^{[26]}An improved approach for the face stability analysis of shallow tunnels in non-homogeneous and anisotropic soil is developed in this study.

^{[27]}The goal was to distribute PS uniformly in coal tar-contaminated unsaturated and anisotropic soils, both in terms of permeability and contamination.

^{[28]}Considering large-scale applications, a general drainage formula of the improved subsurface drainage with ponded water in a homogeneous and isotropic soil was proposed based on Kirkham equation.

^{[29]}The Dafalias’ [1] anisotropic modified Cam Clay model, proposed on the basis of the critical state theory, is one of the most widely used anisotropic elastoplastic constitutive models for clays, attributed mainly to its relative simplicity, yet still capable of capturing the essential features of the anisotropic soil behaviour.

^{[30]}The Green–Ampt (GA) model, which assumes a rectangular saturated piston flow and homogeneous isotropic soil with uniform initial water content, is one of the most widely used models for describing infiltration processes.

^{[31]}This article presents a numerical model based on the finite difference method for the physical and geometric non-linear analysis of a one-dimensional consolidation problem regarding a saturated, homogeneous and isotropic soil layer with low permeability and high compressibility.

^{[32]}The study presents a probabilistic immediate settlement analysis of shallow foundations resting on an anisotropic soil layer of spatially random properties.

^{[33]}This study aims to investigate the effects of spatially variable anisotropic soil fa.

^{[34]}The results demonstrated that the anisotropic soil interfaces cause a significant decrease of energy reflected and transmitted as well as the bidirectional reflectance.

^{[35]}Bearing capacity of isotropic soils was also calculated as a benchmark solution and then, extended to anisotropic soils.

^{[36]}In light of the initial condition, the plastic radius and the stress in the plastic zone are derived by incorporating the large-strain analysis, the influence of stress anisotropy (K0) and the non-associated flow rule, and two fundamental solutions for the cavity expansion problem under undrained and drained conditions are presented in an anisotropic soil mass.

^{[37]}A site consisting of a single cross-anisotropic soil layer rested on a half-space representing the bedrock is examined, subjected to inclined SH wave and the out-of-plane displacement amplitude is obtained by assembling the dynamic stiffness matrices of the layer and the underlying bedrock.

^{[38]}Four numerical examples, consisting of a square plate resting on an isotropic soil, multi-layered soil with weak and thin interlayer, a plate with a different geometrical shape and a square plate with a hole, are provided in order to validate the accuracy and versatility of the proposed formulations.

^{[39]}A closed-form solution for the undrained cavity expansion problem in an anisotropic soil mass is investigated based on the spatially mobilized plane (SMP) model in this study.

^{[40]}Due to various geological processes, rotation of anisotropic soil fabric is commonly observed in nature.

^{[41]}In order to reach this goal, a numerical model has been developed in which the general equation of fluid flow in non-uniform; anisotropic soil is solved by the finite volume method on a structured grid.

^{[42]}The results amply demonstrate that the proposed limit analysis is appropriate for the stability assessment of reinforced slopes in heterogeneous and anisotropic soils.

^{[43]}The peak shear strength rules of transversely isotropic soils are stress state dependent and dependent on relative orientation between bedding plane and principal stress.

^{[44]}The proposed formulation is verified through the predictions of various compressions of anisotropic soil blocks while the importance of undrained strength anisotropy is demonstrated by analyses of undrained bearing capacity of strip, circular and square footings on anisotropic clays.

^{[45]}The investigation gives new insight on the phenomenology of the bistatic scattering from the anisotropic soil, providing interesting information for the next generation of satellite missions, which foresees the possibility of launching companion satellites carrying aboard a passive receiver collecting the signal transmitted by active SAR-based platforms.

^{[46]}

## Transversely Isotropic Soil

Aiming at the vibration isolation in transversely isotropic soil, a T-shaped partially embedded periodic barrier for surface waves is proposed, and its shielding performance is explored by using fi.^{[1]}An efficient theoretical solution is proposed to investigate the time history response of an elastic circular thin plate bonded on multilayered transversely isotropic soils.

^{[2]}According to a refined Vlasov soil model, the static problem of beams lying on transversely isotropic soils can be solved by an iterative method.

^{[3]}In this study, a method of establishing 3D non-orthogonal elastoplastic (NOEP) constitutive models for transversely isotropic soil (TI-soil) is proposed.

^{[4]}The peak shear strength rules of transversely isotropic soils are stress state dependent and dependent on relative orientation between bedding plane and principal stress.

^{[5]}

## Homogeneou Isotropic Soil

An explicit analytical solution is obtained to an old problem of a potential steady-state 2-D saturated Darcian flow in a homogeneous isotropic soil towards systematic drains modeled as line sinks (submerged drains under an overhanging of a phreatic surface), placed on a horizontal impervious substratum, with a constant-rate infiltration from the vadose zone.^{[1]}The Green–Ampt (GA) model, which assumes a rectangular saturated piston flow and homogeneous isotropic soil with uniform initial water content, is one of the most widely used models for describing infiltration processes.

^{[2]}

## isotropic soil layer

This article presents a numerical model based on the finite difference method for the physical and geometric non-linear analysis of a one-dimensional consolidation problem regarding a saturated, homogeneous and isotropic soil layer with low permeability and high compressibility.^{[1]}The study presents a probabilistic immediate settlement analysis of shallow foundations resting on an anisotropic soil layer of spatially random properties.

^{[2]}A site consisting of a single cross-anisotropic soil layer rested on a half-space representing the bedrock is examined, subjected to inclined SH wave and the out-of-plane displacement amplitude is obtained by assembling the dynamic stiffness matrices of the layer and the underlying bedrock.

^{[3]}

## isotropic soil mas

In light of the initial condition, the plastic radius and the stress in the plastic zone are derived by incorporating the large-strain analysis, the influence of stress anisotropy (K0) and the non-associated flow rule, and two fundamental solutions for the cavity expansion problem under undrained and drained conditions are presented in an anisotropic soil mass.^{[1]}A closed-form solution for the undrained cavity expansion problem in an anisotropic soil mass is investigated based on the spatially mobilized plane (SMP) model in this study.

^{[2]}

## isotropic soil fabric

In natural slopes, apart from isotropic and transversely anisotropic soil fabric, rotated anisotropic soil fabric is also commonly observed due to deposition and weathering.^{[1]}Due to various geological processes, rotation of anisotropic soil fabric is commonly observed in nature.

^{[2]}

## isotropic soil property

The anisotropic soil properties considered include the plane strain shear strength ratio (i.^{[1]}Hydraulic conductivity is considered to be an anisotropic soil property.

^{[2]}

## isotropic soil foundation

This paper presents a multiscale computational study on a strip footing resting on an anisotropic soil foundation.^{[1]}More than 975 runs were executed using finite difference code with differential (H=5,10,15m), were studied over isotropic soil foundation.

^{[2]}