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A boundary-type approach for the computation of vertical stresses in soil due to arbitrarily shaped foundations

A boundary-type approach for the computation of vertical stresses in soil due to arbitrarily... This paper aims to present a simple, yet accurate and efficient, formulation for computing the vertical soil stresses due to arbitrarily distributed surface pressures or loads over an arbitrarily shaped area.Design/methodology/approachBy leveraging on the strength of Green’s theorem, the present approach is based on the formulation of the classical Boussinesq solution as a boundary-type problem over an arbitrarily shaped simply- or multiply-connected loaded region. The accuracy of the developed formulation was exemplified through a number of illustrative examples, which included both simply- and multiply-connected loaded areas.FindingsThe results of the test examples presented in this work indicated a high degree of accuracy and flexibility of the developed approach despite its simplicity.Originality/valueThe main contribution of the present work is the introduction of an efficient meshless approach and an algorithm that can be implemented in few lines of code on any programing platform, as either a stand-alone program or a computational module in larger engineering software packages. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png World Journal of Engineering Emerald Publishing

A boundary-type approach for the computation of vertical stresses in soil due to arbitrarily shaped foundations

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Publisher
Emerald Publishing
Copyright
© Emerald Publishing Limited
ISSN
1708-5284
DOI
10.1108/wje-02-2018-0051
Publisher site
See Article on Publisher Site

Abstract

This paper aims to present a simple, yet accurate and efficient, formulation for computing the vertical soil stresses due to arbitrarily distributed surface pressures or loads over an arbitrarily shaped area.Design/methodology/approachBy leveraging on the strength of Green’s theorem, the present approach is based on the formulation of the classical Boussinesq solution as a boundary-type problem over an arbitrarily shaped simply- or multiply-connected loaded region. The accuracy of the developed formulation was exemplified through a number of illustrative examples, which included both simply- and multiply-connected loaded areas.FindingsThe results of the test examples presented in this work indicated a high degree of accuracy and flexibility of the developed approach despite its simplicity.Originality/valueThe main contribution of the present work is the introduction of an efficient meshless approach and an algorithm that can be implemented in few lines of code on any programing platform, as either a stand-alone program or a computational module in larger engineering software packages.

Journal

World Journal of Engineering – Emerald Publishing

Published: Jun 14, 2019

Keywords: Arbitrarily shaped foundation; Boundary-type methods; Boussinesq equation; Green’s theorem; Multiply-connected domain; Vertical soil stress

References

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