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
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