Abstract
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 stressesare 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. Keywords: Monoclinic; strip loading; anti plane strain; rectangular irregularity
Highlights
The concept of dislocation theory has been proved a helpful tool in the study of earth crust deformation due to surface loads or any internal sources
Crampin (1) investigated for the seismic anisotropy in the earth crust, which was a beginning of anisotropic crystal study but the seismic anisotropy was an unfamiliar concept for many geophysicists
Garg and Singh (3) obtained the stresses as a result of shear line load acting at the boundary of a semi infinite elastic model consisting of an isotropic elastic layer lying over an isotropic elastic half space and concluded that quasi-static stresses differ significantly from the corresponding static stresses in pure elastic medium
Summary
The concept of dislocation theory has been proved a helpful tool in the study of earth crust deformation due to surface loads or any internal sources. Savita et al / Indian Journal of Science and Technology 2021;14(1):[55–70] the behaviour of the elastic medium at continental margins and mountain roots in the earth structure Following this criteria, the problem of static deformation present in the elastic mediums had been studied by many researchers, for e.g Pan(2) solved the static deformation problem of a transversely isotropic layered half space with different type of dislocation sources which contained the solutions to two and three dimensional source problem for the corresponding isotropic media. 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. The variation of shearing stresses has been studied graphically with different sizes of irregularity
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