Solution of Elastic Half Space Problem using Boussinesq Displacement Potential Functions

Authors

  • Clifford U. Nwoji university of Nigeria, Nsukka.
  • Hyginus N. Onah University of Nigeria, Nsukka.
  • Benjamin O. Mama University of Nigeria, Nsukka.
  • Charles C. Ike Enugu State University of Science and Technology, Enugu State, Nigeria.

Keywords:

Boussinesq displacement potential functions, elastic half space problem, Boussinesq problem, stress fields, displacement fields

Abstract

In this study, the Boussinesq displacement potential functions were used to solve the elastic half space problem involving a point load acting at the origin.Displacement field components were obtained from the Boussinesq potential functions using Love's expressions. Strin displacement and stress-strain laws were used simultaneously to obtain the stress fields from the displacement fields. It was found that solutions for stress and displacement fields were exactly the same expressions obtained by other researchers in the technical literature.

References

Nwoji C.U., Onah H.N., Mama B.O. and Ike C.C. Solution of the Boussinesq problem of half space using Green and Zerna displacement potential function method. Electronic Journal of Geotechnical Engineering (EJGE), 2017, Volume 22, Bundle 11 (22.11) pp. 4305-4314. Available at ejge.com

Ike C.C. First principles derivation of a stress function for axially symmetric elasticity problems, and application to Boussinesq problem. Nigerian Journal of Technology (NIJOTECH), Vol. 36, No.3, July 2017, pp. 767-772.

Ike C.C., Onah H.N. and Nwoji C.U. Bessel functions for axisymmetric elasticity problems of the elastic half space soil, a potential function method. Nigerian Journal of Technology (NIJOTECH), Vol. 36, No.3, July 2017, pp. 773-781.

Ike C.C., Mama B.O., Onah H.N. and Nwoji C.U. Trefftz harmonic function method for solving Boussinesq problem. Electronic Journal of Geotechnical Engineering (EJGE) 2017 (22.12), pp. 4589-4601. Available at ejge.com

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Published

2017-10-31

How to Cite

Nwoji, C. U., Onah, H. N., Mama, B. O., & Ike, C. C. (2017). Solution of Elastic Half Space Problem using Boussinesq Displacement Potential Functions. Asian Journal of Applied Sciences, 5(5). Retrieved from https://www.ajouronline.com/index.php/AJAS/article/view/5060

Issue

Vol. 5 No. 5 (2017): October 2017

Section

Articles

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