Impedances of rigid cylindrical foundations embedded in transversely isotropic soils

Barros, P. L. A.

doi:10.1002/nag.496

Cited by 33 publications

(14 citation statements)

References 11 publications

(6 reference statements)

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“…while the transformed stress-potential relationships can be written as Expressions given in Equation (20) are identical to those presented by Rahimian et al [21] in the case of static and axisymmetric problem.…”

Section: Statement Of the Problem And The Governing Equationmentioning

confidence: 95%

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Axisymmetric interaction of a rigid disc with a transversely isotropic half‐space

Katebi

Khojasteh

Rahimian

et al. 2010

Num Anal Meth Geomechanics

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SUMMARYA theoretical formulation is presented for the determination of the interaction of a vertically loaded disc embedded in a transversely isotropic half-space. By means of a complete representation using a displacement potential, it is shown that the governing equations of motion for this class of problems can be uncoupled into a fourth-order partial differential equation. With the aid of Hankel transforms, a relaxed treatment of the mixed-boundary value problem is formulated as dual integral equations, which, in turn, are reduced to a Fredholm equation of the second kind. In addition to furnishing a unified view of existing solutions for zero and infinite embedments, the present treatment reveals a severe boundary-layer phenomenon, which is apt to be of interest to this class of problems in general. The present solutions are analytically in exact agreement with the existing solutions for a half-space with isotropic material properties. To confirm the accuracy of the numerical evaluation of the integrals involved, numerical results are included for cases of different degrees of the material anisotropy and compared with existing solutions. Further numerical examples are also presented to elucidate the influence of the degree of the material anisotropy on the response.

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Section: Statement Of the Problem And The Governing Equationmentioning

confidence: 95%

“…With the aid of the transformed relations (19), (20) and the conditions (2)- (7), the constants of A I , . .…”

Section: Governing Dual Integral Equationmentioning

confidence: 99%

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Axisymmetric interaction of a rigid disc with a transversely isotropic half‐space

Katebi

Khojasteh

Rahimian

et al. 2010

Num Anal Meth Geomechanics

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“…Axial dynamic soil-pile interaction was the subject of a study by Barros [20] in which a combination of FEM and BEM is used. The method of boundary element was used for rigid foundations in transversely isotropic solids under dynamic loads by Gazetas [21], Kirkner [22], and Barros [23]. For piles under transient torsional load in transversely isotropic saturated media, one can refer to Chen et al [24] and for time-harmonic torsion in Wang et al [25].…”

Section: Introductionmentioning

confidence: 99%

Rigid cylinder in a transversely isotropic half‐space under lateral loads

Shahmohamadi

Khojasteh

Rahimian

et al. 2011

Num Anal Meth Geomechanics

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SUMMARYA boundary integral equation method is presented for a rigid cylindrical pipe-pile of finite length embedded in a transversely isotropic half-space under lateral loads. In the framework of three-dimensional elastostatics, the complicated soil-structure interaction problem is shown to be reducible to three coupled Fredholm integral equations. Through an analysis of the associated Cauchy singular kernels, the intrinsic singular characteristics of the radial, angular, and vertical interfacial load transfers are rendered explicit. By means of a complicated numerical procedure, detailed results on the three-dimensional load-transfer process are provided for benchmark comparison and practical applications.

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“…These numerical approaches include the finite element method (FEM), the boundary element method (BEM), and a combination of them (Senm et al, 1985;Mamoon et al, 1990;Wu and Finn, 1997a;Barros, 2006;Padrón et al, 2007;Masoumi and Degrande, 2008;Millán and Domínguez, 2009;Taherzadeh et al, 2009;Padrón et al, 2012). Although the FEM can take many factors into consideration, such as soil layering, anisotropy, and non-linearity (Randolph and Wroth, 1978), it also involves a lot of complications due to the requirement of special non-reflecting boundaries at far-field (Kuhlemeyer, 1979a;1979b) and computational inefficiency.…”

Section: Introductionmentioning

confidence: 99%

Analytical model of vertical vibrations in piles for different tip boundary conditions: parametric study and applicationsx

Wang

2013

J. Zhejiang Univ. Sci. A

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Abstract:In this paper, a model named fictitious soil pile was introduced to solve the boundary coupled problem at the pile tip. In the model, the soil column between pile tip and bedrock was treated as a fictitious pile, which has the same properties as the local soil. The tip of the fictitious soil pile was assumed to rest on a rigid rock and no tip movement was allowed. In combination with the plane strain theory, the analytical solutions of vertical vibration response of piles in a frequency domain and the corresponding semi-analytical solutions in a time domain were obtained using the Laplace transforms and inverse Fourier transforms. A parametric study of pile response at the pile tip and head showed that the thickness and layering of the stratum between pile tip and bedrock have a significant influence on the complex impedances. Finally, two applications of the analytical model were presented. One is to identify the defects of the pile shaft, in which the proposed model was proved to be accurate to identify the location as well as the length of pile defects. Another application of the model is to identify the sediment thickness under the pile tip. The results showed that the sediment can lead to the decrease of the pile stiffness and increase of the damping, especially when the pile is under a low frequency load.

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Impedances of rigid cylindrical foundations embedded in transversely isotropic soils

Cited by 33 publications

References 11 publications

Axisymmetric interaction of a rigid disc with a transversely isotropic half‐space

Axisymmetric interaction of a rigid disc with a transversely isotropic half‐space

Rigid cylinder in a transversely isotropic half‐space under lateral loads

Analytical model of vertical vibrations in piles for different tip boundary conditions: parametric study and applicationsx

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