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

作者:Liu Martin D*; Xu K J; Horpibulsuk Suksun
来源:Proceedings of the Institution of Civil Engineers-Geotechnical Engineering, 2013, 166(3): 321-327.
DOI:10.1680/geng.10.00029

摘要

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.

  • 出版日期2013-6

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