Fractional stress-dilatancy equation based on critical state lines with arbitrary form

Yifei Sun; Jiancheng Zhang

doi:10.5802/crmeca.78

Short paper

Fractional stress-dilatancy equation based on critical state lines with arbitrary form

Yifei Sun ^1,² ; Jiancheng Zhang ³

¹ Faculty of Civil and Environmental Engineering, Ruhr Universität Bochum, 44780 Bochum, Germany
² Key Laboratory of Ministry of Education for Geomechanics and Embankment Engineering, Hohai University, China
³ School of Naval Architecture and Civil Engineering, Jiangsu University of Science and Technology, Zhangjiagang 215600, Jiangsu, China

Comptes Rendus. Mécanique, Volume 349 (2021) no. 1, pp. 167-178.

Abstract

The original state-dependent fractional stress-dilatancy (FSD) equation for soils is developed based on the critical state lines (CSLs) with linear form. However, experimental evidences showed that the CSLs of soil in the $p^{'}$ – $q$ and $e$ – $p^{'}$ planes could be both nonlinear as well due to significant material degradation. This note aims to propose a unified FSD equation for soils with arbitrary types of CSLs. Detailed derivations are provided. To validate the proposed FSD equation, a series of triaxial test results of ballast and rockfill are simulated.

Received: 2019-12-08
Revised: 2020-06-29
Accepted: 2021-02-17
Published online: 2021-03-17

DOI: 10.5802/crmeca.78

Keywords: Fractional derivative, Fractional plasticity, Stress-dilatancy, Sand, Rockfill, State dependence

Author's affiliations:

Yifei Sun ^{1, 2}; Jiancheng Zhang ³

¹ Faculty of Civil and Environmental Engineering, Ruhr Universität Bochum, 44780 Bochum, Germany
² Key Laboratory of Ministry of Education for Geomechanics and Embankment Engineering, Hohai University, China
³ School of Naval Architecture and Civil Engineering, Jiangsu University of Science and Technology, Zhangjiagang 215600, Jiangsu, China

License:

CC-BY 4.0

Copyrights: The authors retain unrestricted copyrights and publishing rights

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     author = {Yifei Sun and Jiancheng Zhang},
     title = {Fractional stress-dilatancy equation based on critical state lines with arbitrary form},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {167--178},
     publisher = {Acad\'emie des sciences, Paris},
     volume = {349},
     number = {1},
     year = {2021},
     doi = {10.5802/crmeca.78},
     language = {en},
}

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Yifei Sun; Jiancheng Zhang. Fractional stress-dilatancy equation based on critical state lines with arbitrary form. Comptes Rendus. Mécanique, Volume 349 (2021) no. 1, pp. 167-178. doi : 10.5802/crmeca.78. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.78/

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