2-Dimensional Deformation of an Irregular Orthotropic Elastic Medium

Madan, Dinesh Kumar; Gaba, Aanchal

doi:10.9790/5728-120405101113

Cited by 5 publications

(5 citation statements)

References 10 publications

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“…medium Madan and Gaba [11] have studied the effect of different type of irregularities on the variation of displacements and stresses in an orthotropic elastic media due to normal lineloading by using eigen value approach with distinct eigen values.…”

Section: Effect Of Line Loading On An Irregular Elastic Medium Possesmentioning

confidence: 99%

Effect of Line Loading on An Irregular Elastic Medium Possessing Cubic Symmetry

Gaba

Madan

Kumari

et al. 2018

SMSJ

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In the present paper, the closed form analytical expressions due to an inclined line-load in an irregular elastic medium with cubic symmetry have been obtained. The irregularities are considered in the shape of rectangular and parabolic. Numerically, the effect of irregularities have been studied by variation of displacements with the horizontal distance by considering different sizes of irregularities (e) of parabolic and rectangular. At different values of 'e' the comparisons are made at different values of angle of inclinations.

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Section: Effect Of Line Loading On An Irregular Elastic Medium Possesmentioning

confidence: 99%

Effect of Line Loading on An Irregular Elastic Medium Possessing Cubic Symmetry

Gaba

Madan

Kumari

et al. 2018

SMSJ

Self Cite

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“…Four nonuniform slip profiles, namely linear, parabolic, and cubic, are taken into account when considering the fault. Using the eigenvalue approach, (Madan and Gaba, 2016) calculated the displacement and stresses at every location in an infinite irregular orthotropic elastic material induced by a normal line load. They have considered the irregularities of parabolic and rectangular.…”

Section: Introductionmentioning

confidence: 99%

Static deformation of a two-phase medium consisting of a rigid boundary elastic layer and an isotropic elastic half-space induced by a very long tensile fault

Sikka,

Malik

2024

The Scientific Temper

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An analytical model is proposed to determine the static response of a multi-layered medium comprising of an underlying isotropic (ISO) elastic half-space that is in welded contact with an isotropic (ISO) elastic layer of uniform thickness H with a rigid boundary, induced by a tensile dislocation embedded in the layer. The integral expressions for stress fields are obtained by using the airy stress function. These integrals are calculated approximately, using Sneddon’s approach, by substituting the terms under the integral sign with a finite sum of exponential expressions. It is studied numerically and graphically how stresses vary with the change in the epicentral distance for different source locations embedded in the layer. The effect of the rigidity ratio is also analysed on the stress field. To examine the impact of the internal boundary, the stress fields in the layered and uniform half-spaces are compared graphically.

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“…Therefore, it is interesting to study the static deformation in elastic models with irregular boundaries. A number of researchers have studied the problem of irregular boundaries (Ray and Singh [11], Selim [12], Madan et al [13] and Madan et al [14]) who studied static and quasi-static deformation on irregular interfacing boundary of two elastic half-space. Savita et al [16] obtained shearing stress components at a point in a monoclinic elastic layer overlying an irregular monoclinic elastic half-space and gave the generalization of the results obtained in Savita et al [15].…”

Section: Introductionmentioning

confidence: 99%

Tensile Fault Dislocation in an Irregular-Layered Elastic Half-Space

Savita

Sahrawat

Malik³

2022

International Journal of Applied Mechanics and Engineering

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In the present paper, an analytical solution for the static deformation of a two dimensional model consisting of an infinite homogeneous isotropic elastic layer of uniform thickness placed over an irregular isotropic elastic half-space due to movement of a long tensile fault has been obtained. The rectangular shaped irregularity is assumed to be present in the lower half-space and assuming that the fault lies in the elastic layer at a finite depth say ’h’ to the upper surface of the layer. For numerical computation, the expressions of displacements and stresses are calculated by using Sneddon’s method and the effect of source depth and irregularity on the displacements and stresses has been investigated graphically.

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2-Dimensional Deformation of an Irregular Orthotropic Elastic Medium

Cited by 5 publications

References 10 publications

Effect of Line Loading on An Irregular Elastic Medium Possessing Cubic Symmetry

Effect of Line Loading on An Irregular Elastic Medium Possessing Cubic Symmetry

Static deformation of a two-phase medium consisting of a rigid boundary elastic layer and an isotropic elastic half-space induced by a very long tensile fault

Tensile Fault Dislocation in an Irregular-Layered Elastic Half-Space

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