On contact problems in an inhomogeneous half-space

Fabrikant, V. I.; Sankar, T. S.

doi:10.1016/0020-7683(84)90006-4

Cited by 19 publications

(12 citation statements)

References 2 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…An extensive list of references can be found in books [4,5,6]. Some mixed problems for a spherical segment are solved in [6] W (2) Here 0) (4) (5) (6) Correctness of the integrals (1 and 2) can be verified by direct substitution of (4 and 5) into (1 and 2) respectively.…”

Section: Introductionmentioning

confidence: 99%

Closed form solution to some mixed boundary value problems for a charged sphere

Fabrikant

1987

J. Aust. Math. Soc. Series B, Appl. Math

View full text Add to dashboard Cite

A new method is described which allows an exact solution in a closed form to the following non-axisymmetric mixed boundary-value problem for a charged sphere: arbitrary potential values are given at the surface of a spherical segment while an arbitrary charge distribution is prescribed on the rest of the sphere. The method is founded on a new integral representation of the kernel of the governing integral equation. Several examples are considered. All the results are expressed in elementary functions. Some further applications of the method are discussed. No similar result seems to have been published previously.

show abstract

Section: Introductionmentioning

confidence: 99%

Closed form solution to some mixed boundary value problems for a charged sphere

Fabrikant

1987

J. Aust. Math. Soc. Series B, Appl. Math

View full text Add to dashboard Cite

show abstract

“…Modulus of deformability increases linearly with depth according to Eq. (1) shown in [7]: The use of inhomogeneous half-space is also described by Fabrikant and Sankar in [5], and Zhou, Chen, Keer, Ai, Sawamiphakdi, Glaws, Wang in [12]. Fabrikant and Sankar in [5] introduce an equation for the shift in homogeneous halfspace outside the loaded areas in relation to the offsets within the loaded area.…”

Section: Spatial Numerical Model -Femmentioning

confidence: 99%

“…(1) shown in [7]: The use of inhomogeneous half-space is also described by Fabrikant and Sankar in [5], and Zhou, Chen, Keer, Ai, Sawamiphakdi, Glaws, Wang in [12]. Fabrikant and Sankar in [5] introduce an equation for the shift in homogeneous halfspace outside the loaded areas in relation to the offsets within the loaded area. After creating the model and assigning various properties to the individual layers of subsoil model, which take into account the impact of increasing deformability modulus, a finite element network was created.…”

Section: Spatial Numerical Model -Femmentioning

confidence: 99%

Numerical analyses of interaction of steel-fibre reinforced concrete slab model with subsoil

Labudková¹,

Čajka²

2016

Frattura Ed Integrità Strutturale

View full text Add to dashboard Cite

ABSTRACT. Numerical analyses of contact task were made with FEM. The test sample for the task was a steel-fibre reinforced concrete foundation slab model loaded during experimental loading test. Application of inhomogeneous half-space was used in FEM analyses. Results of FEM analyses were also confronted with the values measured during the experiment.KEYWORDS. Foundation structure; Subsoil-structure interaction; FEM; Steelfibre reinforced concrete.Citation: Labudkova, J., Cajka, R., Numerical analyses of interaction of steel-fibre reinforced concrete slab model with subsoil, Frattura ed Integrità Strutturale, 39 (2017) 47-55.

show abstract

“…This means that it is the model of the inhomogeneous half-space which describes the deformation behaviour of the soil better that the homogeneous model. Using of inhomogeneous half-space is also described in papers [12,13,14]. Homogeneous half-space and also inhomogeneous half-space were used in numerical analyses.…”

Section: D Computational Model In Ansys Systemmentioning

confidence: 99%

3d Numerical Model in Nonlinear Analysis of the Interaction Between Subsoil and SFCR Slab

Labudková¹,

Čajka²

2017

GEOMATE

View full text Add to dashboard Cite

For decades attention has been paid to interaction of foundation structures and subsoil and, in turn, to development of interaction models. Complexity of a static solution is given mainly by selection of a computational model, effects of physical-nonlinear behaviour of such structure and co-effects of the upper structure and the foundation structure. ). Input data for numerical analysis were observed experimental loading test of steel-fibre reinforced concrete slab. The loading was performed using unique experimental equipment which was constructed in the area Faculty of Civil Engineering, VŠB-TU Ostrava. Homogeneous half-space this takes no account and calculated settlement is strongly dependent on the size of the subsoil model, as parametric study demonstrated. The modulus of deformability changes continuously, depending on the depth, in the inhomogeneous half-space. Values calculated by 3D numerical model were compared with values measured during the loading test of steel-fibre concrete slab.

show abstract

On contact problems in an inhomogeneous half-space

Cited by 19 publications

References 2 publications

Closed form solution to some mixed boundary value problems for a charged sphere

Closed form solution to some mixed boundary value problems for a charged sphere

Numerical analyses of interaction of steel-fibre reinforced concrete slab model with subsoil

3d Numerical Model in Nonlinear Analysis of the Interaction Between Subsoil and SFCR Slab

Contact Info

Product

Resources

About