Skip to main content
SpringerLink
Log in

Stresses in an elastic plate lying over a base due to strip-loading

  • Published:
Proceedings of the Indian Academy of Sciences - Mathematical Sciences Aims and scope Submit manuscript

Abstract

The closed-form analytic expressions for the stresses at any point of an elastic plate coupling in different ways to a base as a result of a two-dimensional shear strip-loading are obtained. The contact between the horizontal layer and the base is either smooth-rigid or rough-rigid or welded. The variations of the shear stresses with the horizontal distance have been studied numerically. It is found that the effect of different boundary conditions on the stress field is significant and the stresses for an elastic layer lying over an elastic half-space differ considerably from those of an entire homogeneous elastic half-space.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Chaudhuri P K and Bhowal S, Two-dimensional static response of a transversely isotropic multilayered non-homogeneous half-space to surface-loads,Geophys. Res. Bull. 27 (1989) 77–87

    Google Scholar 

  2. Garg N R and Sharma R K, Generation of displacements and stresses in a multilayered half-space due to strip-loadingBull. Indian Soc. Earthquake Technol 28 (1991) 1–26

    Google Scholar 

  3. Garg N R and Sharma R K, Displacement and stresses at any point of a transversely isotropic multilayered half-space due to strip-loadings,Indian J. Pure Appl. Math.,22 (1991) 859–877

    MATH  MathSciNet  Google Scholar 

  4. Garg N R and Sharma R K, Deformation of an elastic layer coupling in different ways to a base due to a very long vertical strike-slip dislocation,Proc. Indian Acad. Sci. (Earth Planet. Sci) 101 (1992) 255–268

    Google Scholar 

  5. Gradshteyn I S and Ryzhik I M,Tables of Integrals, Series and Products, (New York: Academic Press) (1980)

    Google Scholar 

  6. Kuo J T, Static response of a multilayered medium under inclined surface loads,J. Geophys. Res. 74 (1969) 3195–3207

    Article  MATH  Google Scholar 

  7. Pan E, Static response of a transversely isotropic and layered half-space to general surface loads,Phys. Earth. Planet. Inter 54 (1989) 353–363

    Article  Google Scholar 

  8. Singh S J, Static deformation of a multilayered half-space by internal sources,J. Geophys. Res. 75 (1970) 3257–3263

    Article  Google Scholar 

  9. Singh S J, Static deformation of a transversely isotropic multilayered half-space by surface loads,Phys. Earth Planet. Inter. 42 (1986) 263–73

    Article  Google Scholar 

  10. Small J C and Booker J R, Finite layer analysis of layered elastic materials using a flexibility approach. Part-I-strip-loading,Int. J. Num. Methods Eng. 20 (1984) 1025–1037

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Maharshi Dayanand University, 124 001, Rohtak, India

    Raj Kumar Sharma & Nat Ram Garg

Authors
  1. Raj Kumar Sharma
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Nat Ram Garg
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sharma, R.K., Garg, N.R. Stresses in an elastic plate lying over a base due to strip-loading. Proc. Indian Acad. Sci. (Math. Sci.) 104, 425–433 (1994). https://doi.org/10.1007/BF02863423

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02863423

Keywords

Search

Navigation