• P-ISSN 0974-6846 E-ISSN 0974-5645

Indian Journal of Science and Technology


Indian Journal of Science and Technology

Year: 2021, Volume: 14, Issue: 1, Pages: 55-70

Original Article

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

Received Date:16 October 2021, Accepted Date:01 January 2021, Published Date:13 January 2021


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


  1. Crampin S. Suggestions for a consistent terminology for seismic anisotropy. Geophysical Prospecting. 1989;37(7):753–770. Available from: https://dx.doi.org/10.1111/j.1365-2478.1989.tb02232.x
  2. Pan E. Static response of a transversely isotropic and layered half-space to general dislocation sources. Physics of the Earth and Planetary Interiors. 1989;58(2-3):103–117. Available from: https://dx.doi.org/10.1016/0031-9201(89)90046-0
  3. Garg NR, Singh SJ. Quasi-static response of a layered half space to surface loads. Indian Journal of pure and applied Mathematics. 1989;20:621–631. Available from: http://www.new.dli.ernet.in/rawdataupload/-upload
  4. Garg NR, Madan DK, Sharma RK. Two-dimensional deformation of an orthotropic elastic medium due to seismic sources. Physics of the Earth and Planetary Interiors. 1996;94(1-2):43–62. Available from: https://dx.doi.org/10.1016/0031-9201(95)03095-6
  5. Singh K, Madan DK, Goel A, Garg NR. Two-dimensional static deformation of an anisotropic medium. Sadhana. 2005;30:565–583. Available from: https://dx.doi.org/10.1007/bf02703280
  6. Madan DK, Chugh KS, Singh. Stresses in an anisotropic Elastic Plate due to Strip-Loading. International Journal of Mechanics. 2011;5:57–62. Available from: https://www.researchgate.net-/publication/275408846
  7. Madan ADK, Dahiya S, Chugh. Static Response of Transversely Isotropic Elastic Medium with irregularity in the medium. International Journal of Mechanical Engineering. 2012;2:1–11.
  8. Madan DK, Gabba A. 2-Dimensional Deformation of an irregular Orthotropic Elastic Medium. IOSR Journal of mathematics. 2016;12:101–113. Available from: https://doi.org/10.9790/5728120405101113
  9. Madan PDK, Arya NR, Garg K, Singh. Stresses in an orthotropic elastic layer lying over in irregular isotropic elastic half-space. International Journal of Current Research and Review. 2017;09(04):15–20.
  10. Chugh S. Contour Map Study of Stresses in a Transversely Isotropic Elastic Plate due to Strip-Loading. International Research Journal of Engineering and Technology. 2020;07(06):3173–3179. Available from: https://www.irjet.net/archives/V7/i6/IRJET-V7I6592
  11. Verma RC, Rani S, Singh SJ. Deformation of a poroelastic layer overlying an elastic half-space due to dip-slip faulting. International Journal for numerical and analytical methods in Geomechanics. 2016;40:391–405. Available from: https://doi.org/10.1002/nag.2410
  12. Tiersten HF. Linear Piezoelactric plate vibrations. New York. Plenum Pres.. 1969.


© 2021 Savita et al.This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. Published By Indian Society for Education and Environment (iSee)


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