Wave propagation through poroelastic soil with underground structures via hybrid BEM‐FEM

Basnet, M. B.; Aji, H. D. B.; Wuttke, Frank; Dineva, Petia

doi:10.1002/zamm.201800023

Cited by 7 publications

(8 citation statements)

References 55 publications

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“…Now, by applying the boundary condition, F Ω F EM i = −F Ω BEM i along the interface Γ i , the body force terms {Φ Ω BEM Γ i } and the stiffness terms [K b ] from Equation 7 can be added to the respective degrees of freedom body force and stiffness in Equation 8. The similar coupling approach can be found in[5,10].…”

mentioning

confidence: 89%

“…In the case the solution for the domain Ω BEM is not necessary, the degrees of freedom along the boundary that is not in Γ i can be condensed and the system can be reduced to the degrees of freedom along Γ i . The procedure to condense the degree of freedom for BEM matrix and to convert the traction vector to force vector can be found in [5,10]. Now the condensed BEM matrix equation in equivalent force vector term can be obtained in the form:…”

Section: Hybrid Bem-fem Formulation Of the Boundary Value Problemmentioning

confidence: 99%

“…Here, F represents the external force matrix, Φ represents the body force matrix, K represents the stiffness matrix, and u represents the displacement matrix for the respective domains and boundaries. The procedure to derive these matrices from the BEM form of Equation 5 and 6 are given in [5,10].…”

Section: Hybrid Bem-fem Formulation Of the Boundary Value Problemmentioning

confidence: 99%

“…The global equation is then solved in the ABAQUS steady-state dynamics. A similar implementation for poroelastic half-space can be found in [5].…”

Section: Implementation Of Bem As Substructure Element In Abaqusmentioning

confidence: 99%

“…A hybrid FEM-BEM model can account for these effects for a more realistic dynamic behaviour of the bridge. The wave propagation through poroelastic media in half-plane is studied in [5]. The same approach is used to study the impedance functions for rigid foundations and soil tunnel system in elastic and poroelastic half-plane [3,4].…”

Section: Introductionmentioning

confidence: 99%

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Hybrid Bem-Fem Assessment on the Dynamic Behaviour of Integral Bridge

Aji¹,

Basnet²,

Wuttke³

2019

Proceedings of the 7th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COM

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One of the most important steps in the design of dynamic-resistant structure is the identification of the natural frequencies of the structure which are the representation of the dynamic behaviour. In integral bridges, the omittance of joints and bearings leads to substantial soil-structure interaction, thus increasing the sensitivity of the dynamic behaviour of the bridge to the underlying and backfill soil characteristic. As a result, accurate identification of the natural frequencies can be a profound problem for integral bridges when encastre grounding or frequency-independent spring-damper system is utilized in the numerical model. Considering the current trend of infrastructure development, this situation can lead to the increase of the economic cost of infrastructure. In this article, steady-state dynamic assessment of phenomenon at hand is presented by utilizing hybrid method of an in-house BEM for describing the semi-infinite part of the geological region and the commercial FEM software, ABAQUS for modelling the finite part of the soil-structure system. The retained flexibility and versatility of FEM and the capability of satisfying the Sommerfeld's radiation condition of BEM make it possible to approach the problem in a more realistic and accurate manner without losing practicality. The influences of the bridge geometry and the soil condition on the natural frequencies of the structure are investigated and comparison to the conventional results are presented.

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mentioning

confidence: 89%

Section: Hybrid Bem-fem Formulation Of the Boundary Value Problemmentioning

confidence: 99%

Section: Hybrid Bem-fem Formulation Of the Boundary Value Problemmentioning

confidence: 99%

“…The global equation is then solved in the ABAQUS steady-state dynamics. A similar implementation for poroelastic half-space can be found in [5].…”

Section: Implementation Of Bem As Substructure Element In Abaqusmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Hybrid Bem-Fem Assessment on the Dynamic Behaviour of Integral Bridge

Aji¹,

Basnet²,

Wuttke³

2019

Proceedings of the 7th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COM

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3D hybrid model of foundation‐soil‐foundation dynamic interaction

2021

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3D dynamic interaction of two adjacent elastic foundations embedded in a finite layered soil region rested in a homogeneous elastic isotropic half-space with a transient dynamic source is studied. The hybrid computational model, the corresponding numerical scheme and the accompanied software are developed, verified and inserted in detail parametric study. The hybrid approach is based on (a) finite element method (FEM) describing the scattered wave field in a finite layered soil profile with two foundations; (b) boundary element method (BEM) considering waves radiating from a dynamic transient source in elastic semiinfinite range. The aim is to propose an efficient hybrid methodology for evaluation of the dynamic response of a foundation-soil-foundation system, taking into account (a) the whole wave path from the dynamic source, through the layered soil region, till the underground structures; (b) the damage state of the geological material. The BEM model is based on the 3D elastodynamic fundamental solution in Fourier domain and it is applied in order to obtain frequency-dependent stiffness matrix and load vector of the dynamically active semi-infinite geological zone. Once the BEM model is formulated, it is inserted as a macro-finite element in the FEM software package ABAQUS. The frequency-dependent FEM model describing the wave field in finite layered soil profile with two elastic foundations is realized by ABAQUS. Solutions in time domain are obtained through application of the inverse fast Fourier transform. As a final result an efficient hybrid model comprising all in one: dynamic (seismic or other type) source-homogeneous elastic half-space-finite heterogeneous by layers and foundations soil profile, is presented. Parametric study illustrating the sensitivity of the dynamic field to key factors such as the type and properties of the load, the soil layering, the material properties of the far-and near-field soil regions, the damaged state of the geological material and the foundation-soil-foundation interaction is shown and discussed.

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Seismic Response of Soil-Structure Systems via BIEM and FEM in Absolute Coordinates

Zahariev

Dineva

2019

IUTAM Symposium on Intelligent Multibody Systems – Dynamics, Control, Simulation

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Wave propagation through poroelastic soil with underground structures via hybrid BEM‐FEM

Cited by 7 publications

References 55 publications

Hybrid Bem-Fem Assessment on the Dynamic Behaviour of Integral Bridge

Hybrid Bem-Fem Assessment on the Dynamic Behaviour of Integral Bridge

3D hybrid model of foundation‐soil‐foundation dynamic interaction

Seismic Response of Soil-Structure Systems via BIEM and FEM in Absolute Coordinates

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