Investigation Progresses and Applications of Fractional Derivative Model in Geotechnical Engineering

Joint Authors

Lai, Jinxing
Qiu, Junling
Fan, Haobo
Chen, Jianxun
Zhang, Qian
Hu, Zhinan
Mao, Sheng

Source

Mathematical Problems in Engineering

Issue

Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-15, 15 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2016-05-04

Country of Publication

Egypt

No. of Pages

15

Main Subjects

Civil Engineering

Abstract EN

Over the past couple of decades, as a new mathematical tool for addressing a number of tough problems, fractional calculus has been gaining a continually increasing interest in diverse scientific fields, including geotechnical engineering due primarily to geotechnical rheology phenomenon.

Unlike the classical constitutive models in which simulation analysis gradually fails to meet the reasonable accuracy of requirement, the fractional derivative models have shown the merits of hereditary phenomena with long memory.

Additionally, it is traced that the fractional derivative model is one of the most effective and accurate approaches to describe the rheology phenomenon.

In relation to this, an overview aimed first at model structure and parameter determination in combination with application cases based on fractional calculus was provided.

Furthermore, this review paper shed light on the practical application aspects of deformation analysis of circular tunnel, rheological settlement of subgrade, and relevant loess researches subjected to the achievements acquired in geotechnical engineering.

Finally, concluding remarks and important future investigation directions were pointed out.

American Psychological Association (APA)

Lai, Jinxing& Mao, Sheng& Qiu, Junling& Fan, Haobo& Zhang, Qian& Hu, Zhinan…[et al.]. 2016. Investigation Progresses and Applications of Fractional Derivative Model in Geotechnical Engineering. Mathematical Problems in Engineering،Vol. 2016, no. 2016, pp.1-15.
https://search.emarefa.net/detail/BIM-1112819

Modern Language Association (MLA)

Lai, Jinxing…[et al.]. Investigation Progresses and Applications of Fractional Derivative Model in Geotechnical Engineering. Mathematical Problems in Engineering No. 2016 (2016), pp.1-15.
https://search.emarefa.net/detail/BIM-1112819

American Medical Association (AMA)

Lai, Jinxing& Mao, Sheng& Qiu, Junling& Fan, Haobo& Zhang, Qian& Hu, Zhinan…[et al.]. Investigation Progresses and Applications of Fractional Derivative Model in Geotechnical Engineering. Mathematical Problems in Engineering. 2016. Vol. 2016, no. 2016, pp.1-15.
https://search.emarefa.net/detail/BIM-1112819

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1112819