A mathematical function to represent S-shaped relationships for geotechnical applications-Reference-Cited by-同舟云学术

A mathematical function to represent S-shaped relationships for geotechnical applications

Published:2013-06 Issue:3 Volume:166 Page:321-327
ISSN:1353-2618
Container-title:Proceedings of the Institution of Civil Engineers - Geotechnical Engineering
language:en
Short-container-title:Proceedings of the Institution of Civil Engineers - Geotechnical Engineering

Author:

Liu Martin D.¹,Xu K. J.²,Horpibulsuk Suksun³

Affiliation:

1. University of Wollongong, New South Wales, Australia

2. PB Americas, Incorporated, New York, USA

3. Suranaree University of Technology, Nakhon Ratchasima, Thailand

Abstract

In this paper a new mathematical function is proposed for describing the S-shape relationship in both normal x and y scale and the semi-logarithmic x and y scale. Basic features of the proposed function have been demonstrated. The proposed function has then been used to simulate the S-shape relationship for seven categories of engineering phenomena. It is seen that the proposed mathematical function has a great potential for representing various S-shape relationships and provides a powerful tool for characterising properties of materials or response of systems; it is thus useful for further numerical analysis.

Publisher

Thomas Telford Ltd.

Subject

Earth and Planetary Sciences (miscellaneous),Geotechnical Engineering and Engineering Geology

Link

https://www.icevirtuallibrary.com/doi/pdf/10.1680/geng.10.00029

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