Dual integral equation solution of eccentricly loaded rectangular rigid foundation embedded in layered transversely isotropic soils

Ai, Zhi Yong; Jiang, Yuan Hao; Chu, Zhong Hao

doi:10.1016/j.compgeo.2020.103755

Cited by 9 publications

(6 citation statements)

References 42 publications

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“…When the five independent engineering elastic constants (E T1 , µ T1 , E T2 , µ T2 , G T ) of transversely isotropic bodies are determined, the value of C st can also be obtained. The conversion relationship between these elastic constants commonly used in practical engineering can be found in the relevant literature [25][26][27][28][29][30][31]. For the transversely isotropic foundation in Figure 2, T1 E , T1  and T2 E ,…”

Section: Deformation Assumption Considering Embedment Depth Effectmentioning

confidence: 99%

“…Ba and Gao [28] analyzed SSI in transversely isotropic layered media subjected to incident plane SH waves by using the indirect boundary element method. Ai et al [29] examined the static interaction between layered transversely isotropic soils and an eccentrically loaded rectangular rigid foundation. Han et al [30] proposed a semi-analytical method for solving the dynamic response of a flexible foundation embedded in a transversely isotropic and multilayered half-space.…”

Section: Introductionmentioning

confidence: 99%

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Two Novel Vlasov Models for Bending Analysis of Finite-Length Beams Embedded in Elastic Foundations

Yue

Fan

et al. 2022

Buildings

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The issue of soil–structure interaction (SSI) is essentially to analyze the influence of complex media on the mechanical behavior of supported structures. With the development of underground space, geological structures and space constraints put forward higher requirements for foundations and buildings. In this paper, the effects of soil heterogeneity and embedment depth on the bending of finite-length beams embedded in two novel Vlasov elastic foundations are investigated. Firstly, the constitutive relations of subsoil are simulated by Gibson and transversely isotropic soils, and the type of elastic foundation is described by the modified Vlasov model. Then, based on variational principles, the governing differential equations for the deformation and attenuation parameters of beams embedded in elastic foundations are derived by taking the variation of the minimum potential energy of the system, and the characteristic coefficient related to the embedment depth is introduced. Finally, the mechanical performance of the beam and foundation is obtained by an iterative technique and the Fourier series method, and an extensive parametric study is performed to examine influence of some basic parameters on the deformation and internal forces of the system. The results show that the mathematical expressions of two refined elastic models are in good agreement with those of the traditional Vlasov foundation after degradation. The iterative technique based on the principles of solid mechanics can be employed to obtain more reliable model parameters. More importantly, with the increase in the embedment depth, the mechanical responses of the beam and subgrade forces decrease. The main reason is that the restraint effect of the soil media around structures, which leads to the reduction of the characteristic coefficient affecting the displacement of beams. Moreover, the heterogeneity of soil, including Gibson characteristics and transverse isotropy, should be considered according to specific working conditions in civil engineering.

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Section: Deformation Assumption Considering Embedment Depth Effectmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Two Novel Vlasov Models for Bending Analysis of Finite-Length Beams Embedded in Elastic Foundations

Yue

Fan

et al. 2022

Buildings

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“…This leads to greater numerical efficiency. In [7], the static interaction between an eccentricly loaded rectangular rigid foundation and layered transversely isotropic soils is investigated. Firstly, the solution of the layered transversely isotropic soils is derived using the analytical layer element method.…”

Section: Introductionmentioning

confidence: 99%

A Computational Approach for Analysis of Scattering Characteristics for Strips of Resistive Material

Masouri,

Hatamzadeh

2023

Int. J. Res. Publ. Rev.

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This article proposes a computational approach for analysis of scattering characteristics for strips of resistive material. For this purpose, the integral equation technique is used for modeling the problem. In order to solve the model, an effective approach is formulated based on using a set of basis functions that reduces the integral equation model to a linear system of algebraic equations. Solving this system gives an approximate solution for the integral equation. Numerical results obtained from implementation of the proposed approach are given for better illustration.

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“…This leads to greater numerical efficiency. In [6], the static interaction between an eccentricly loaded rectangular rigid foundation and layered transversely isotropic soils is investigated. Firstly, the solution of the layered transversely isotropic soils is derived using the analytical layer element method.…”

Section: Introductionmentioning

confidence: 99%

Applying a Set of Orthogonal Basis Functions in Numerical Solution of Hallen's Integral Equation for Dipole Antenna of Perfectly Conducting Material

Hatamzadeh

Masouri²

2022

J. Mod. Mater.

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Dual integral equation solution of eccentricly loaded rectangular rigid foundation embedded in layered transversely isotropic soils

Cited by 9 publications

References 42 publications

Two Novel Vlasov Models for Bending Analysis of Finite-Length Beams Embedded in Elastic Foundations

Two Novel Vlasov Models for Bending Analysis of Finite-Length Beams Embedded in Elastic Foundations

A Computational Approach for Analysis of Scattering Characteristics for Strips of Resistive Material

Applying a Set of Orthogonal Basis Functions in Numerical Solution of Hallen's Integral Equation for Dipole Antenna of Perfectly Conducting Material

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