Two-dimensional static deformation of an anisotropic medium

Singh, Kuldip; Madan, Dinesh Kumar; Goel, Anita; Garg, Nat Ram

doi:10.1007/bf02703280

Cited by 9 publications

(5 citation statements)

References 7 publications

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“…Many other researchers discussed source problems for different types of sources viz. Kumari et al (1992), Singh et al (1993Singh et al ( , 2003, Garg et al (1996Garg et al ( , 2003, Tomar and Dhiman (2003), Kumar et al (2005), Singh et al (2005), and Madan et al (2005).…”

Section: Introductionmentioning

confidence: 94%

Quasi-static Planar Deformation in a Medium Composed of Elastic and Thermoelastic Solid Half Spaces Due to Seismic Sources in an Elastic Solid

Vashisth

Rani²,

Singh

2015

Acta Geophys.

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A b s t r a c t A two-dimensional problem of quasi static deformation of a medium consisting of an elastic half space in welded contact with thermoelastic half space, caused due to seismic sources, is studied. Source is considered to be in the elastic half space. The basic equations, governed by the coupled theory of thermoelasticity, are used to model for thermoelastic half space. The analytical expressions for displacements, strain and stresses in the two half spaces are obtained first for line source and then for dip slip fault. The results for two particular cases, adiabatic conditions and isothermal conditions, are also obtained. Numerical results for displacements, stresses and temperature distribution have also been computed and are shown.

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Section: Introductionmentioning

confidence: 94%

Quasi-static Planar Deformation in a Medium Composed of Elastic and Thermoelastic Solid Half Spaces Due to Seismic Sources in an Elastic Solid

Vashisth

Rani²,

Singh

2015

Acta Geophys.

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“…The equilibrium equations (12) are equivalent to the first order vector differential equation. For this situation, we define the process as given by Ross 13 and the equilibrium equation becomes…”

Section: Formulation Of the Problemmentioning

confidence: 99%

“…As an application, the normal line-load acting inside an irregular isotropic halfspace has been considered. The method of Singh et al, 12 is employed to calculate the displacement and stress fields in the irregular medium. Further, the results for the displacements have been derived in the closed form.…”

Section: Introductionmentioning

confidence: 99%

Effect of Irregularity on Static Deformation of Elastic Half-Space

Selim

2008

Int. J. Mod. Phys. B

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In the present paper, the problem of two-dimensional static deformation of an isotropic elastic half-space of irregular thickness has been studied using the eigenvalue approach, following a Fourier transform. The irregularity is expressed by a rectangular shape. As an application, the normal line-load acting inside an irregular isotropic half-space has been considered. Further, the results for the displacements have been derived in the closed form. To examine the effect of irregularity, variations of the displacements with horizontal distance have been shown graphically for different values of irregularity size, and they are compared with those for the medium with uniform shape. It is found that irregularity affects the deformation significantly.

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“…Singh et.al. (6) formulated the problem of two-dimensional static deformation of a monoclinic elastic medium using the Eigen value approach and Fourier transform method. Madan (7) obtained solution to the problem of static deformation in a monoclinic elastic medium with considerations of welded half space in the form of a layer with a base under different kind of interfacing in the antiplane strain state of equilibrium.…”

Section: Introductionmentioning

confidence: 99%

Stresses in a monoclinic elastic plate placed upon an irregular monoclinic elastic half space

Savita¹,

Sahrawat²,

Malik³

2021

IJST

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Objective: To study the stresses due to strip load in a monoclinic elastic plate placed over an irregular monoclinic elastic half space. Method: Antiplane strain problem with different interfacing boundary conditions namely "perfectly welded interfacing, smooth-rigid interfacing, rough-rigid interfacing" has been considered and Fourier Transformation is used on the equilibrium equations to obtain the solutions. Findings: The displacements and stresses are obtained for each boundary condition and the variation of shearing stresses with horizontal distance are studied due to different size of rectangular shaped irregularity at any point of the medium consisting of monoclinic elastic plate placed upon an irregular monoclinic elastic half space. The comparison between the stresses for different types of interfacing has been made graphically. Novelty: The static deformation of two or more connected elastic mediums with irregularities due to surface loads has been studied earlier but just a few have showed graphic representation of stresses with irregularity in different sizes. Keeping in mind the shortcomings of earlier work done, the present paper visualizes shearing stresses in both theoretical and graphical manners completely.

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Two-dimensional static deformation of an anisotropic medium

Cited by 9 publications

References 7 publications

Quasi-static Planar Deformation in a Medium Composed of Elastic and Thermoelastic Solid Half Spaces Due to Seismic Sources in an Elastic Solid

Quasi-static Planar Deformation in a Medium Composed of Elastic and Thermoelastic Solid Half Spaces Due to Seismic Sources in an Elastic Solid

Effect of Irregularity on Static Deformation of Elastic Half-Space

Stresses in a monoclinic elastic plate placed upon an irregular monoclinic elastic half space

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