Exact formulation of interface stiffness matrix for axisymmetric bodies under non-axisymmetric loading

Bouzid, Dj. Amar; Tiliouine, Boualem; Vermeer, P. A.

doi:10.1016/j.compgeo.2004.01.007

Cited by 15 publications

(9 citation statements)

References 25 publications

(23 reference statements)

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“…Based on the concept of a zero-thickness joint element, an exact formulation of the stiffness matrix for an axisymmetric interface has been developed by Amar Bouzid et al [3]. This joint element was formulated to model soil/structures interfaces of axisymmetric solids of revolution subjected to non-axisymmetric loading using a semi-analytical analysis.…”

Section: Modeling the Rigid Disc And The Surrounding Soilmentioning

confidence: 99%

“…This thin zone should be correctly modeled, as the interface is an important location for output stresses. For modeling interfaces in axisymmetric problems subjected to non-axisymmetric loadings, Amar Bouzid et al [3] developed a zero thickness interface model based on an accurate analytical stiffness matrix. This model showed excellent results for stresses estimation.…”

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confidence: 99%

“…By modeling the soil-disc contact by means of previously developed interface elements [3], this paper examines the predicted displacements and stresses developed around a laterally loaded disc and at the interface. The effect of interface smoothness and roughness as well as the Poisson's ratio on the variation of stresses along the radial distance are thoroughly examined.…”

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confidence: 99%

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Fourier series based FE analysis of a disc under prescribed displacements–elastic stress study

Bouzid

Vermeer

2008

Arch Appl Mech

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This paper examines the numerical displacements and stresses developed around a disc under horizontal prescribed displacements and at the interface separating it from the surrounding elastic soil. Since the geometry of the problem exhibits axial symmetry and the loading is non-axisymmetric, the semi-analytical FE approach is used as it proves to be efficient and economical. First, both analytical and numerical expressions for soil reaction are established and compared. Results of comparison show a very good agreement. Then, for different values of the soil Poisson's ratio, normal radial stresses, orthoradial stresses and shear stresses distributions along radial distance reaching 20r d (r d is the disc radius) are presented for a disc that has either perfectly smooth or perfectly rough interfaces with the elastic medium. The paper finishes by showing the effect of the soil Poisson's ratio as well as the relative soil/interface stiffness on the stresses developed at the interface locations.

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Section: Modeling the Rigid Disc And The Surrounding Soilmentioning

confidence: 99%

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confidence: 99%

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confidence: 99%

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Fourier series based FE analysis of a disc under prescribed displacements–elastic stress study

Bouzid

Vermeer

2008

Arch Appl Mech

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“…2.2 Interface between the embedded footing and the soil Based on the concept of a zero-thickness joint element, an exact formulation of the stiffness matrix for an axisymmetric interface has been developed by Amar Bouzid et al (2004). To this end a six-noded interface element was formulated which can be combined with eight or nine-noded quadrilateral volume elements (Fig.…”

Section: Description Of Strain and Displacement Fieldsmentioning

confidence: 99%

“…3. The normal interface stiffness is given a large stiffness k n = 10 10 (kN/m 3 ), so that this interface is hardly compressed (Amar Bouzid et al 2004), and the shear stiffness k s is simply set to zero.…”

Section: Definition Of Stiffness Matrixmentioning

confidence: 99%

Effect of interface characteristics on the influence coefficients of an embedded circular footing under horizontal and moment loading

Bouzid

Vermeer

2007

Geotech Geol Eng

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By means of a semi-analytical FE approach an embedded circular footing under monotonic horizontal and moment loading is studied. In a non-homogeneous soil whose shear modulus is characterized by a power law variation with depth, horizontal, rocking and coupled modes of displacement, expressed in terms of influence factors are thoroughly examined. The exponent a that controls the shape of the stiffness variation with depth is termed shear modulus factor. Surface influence coefficients are considered for the situations where the interface between the soil and the footing is either perfectly rough or perfectly smooth. First, results of semi-analytical FE analysis in the case of rough footing are established and compared with those of another numerical method. Results of comparison show good agreement. Then, for different values of a the surface influence coefficients are presented for an embedded footing in perfect smooth contact with soil. The metacentre is referred to as the depth at which there is no coupling between the sliding and the rocking modes of footing deformations. Expressions for location and horizontal influence coefficient corresponding to this particular depth are developed and their variations with a examined. The paper finishes by showing the effect of interface conditions on the soil normal stresses developed beneath the embedded circular footing for the case of loading applied at the footing top.

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A zero-thickness interface element incorporating hydro-chemo-mechanical coupling and rate-dependency

Ghalamzan Esfahani,

Gajo

2023

Acta Geotech.

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The interfaces play a key role in many engineering problems involving geologic materials. In particular, slope stability analyses of ancient landslides (that were subjected to large displacements along a slip surface) need the formulation of ad hoc interface elements. The mechanical response of slip surfaces in clays is affected by hydro-chemo-mechanical interactions and by rate effects and this paper presents the formulation of an innovative zero-thickness interface element for dealing with these kinds of effects. The proposed interface element is an extension of the modified zero-thickness element proposed by Goodman et al. (J Soil Mech Found Div ASCE 94:637–659, 1968). In addition to solid displacement, we consider the flow of water and the diffusion of a single salt in the fluid phase. Terzaghi’s effective stress principle is used leading to the usual hydro-mechanical coupling within the interface element. The fluxes of water and salt are considered in the longitudinal and in transversal directions of the interface element. For the constitutive relation, we propose an innovative nonlinear elastic energy that improves the numerical convergence in the occurrence of interface opening. The Mohr–Coulomb yield surface is used for the plastic regime in which we considered the effects of strain rate and salt concentration on the shearing behaviour of the interface element. The proposed element has been implemented in a user-defined subroutine of ABAQUS. The typical effects of salt concentration and displacement rate and the typical model responses for the longitudinal and transversal fluxes of salt and pore fluid are discussed in detail. Finally, the proposed interface element is validated through the comparison with experimental results.

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Exact formulation of interface stiffness matrix for axisymmetric bodies under non-axisymmetric loading

Cited by 15 publications

References 25 publications

Fourier series based FE analysis of a disc under prescribed displacements–elastic stress study

Fourier series based FE analysis of a disc under prescribed displacements–elastic stress study

Effect of interface characteristics on the influence coefficients of an embedded circular footing under horizontal and moment loading

A zero-thickness interface element incorporating hydro-chemo-mechanical coupling and rate-dependency

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