Comptes Rendus
Note
Fractional stress-dilatancy equation based on critical state lines with arbitrary form
Yifei Sun1, 2   ; Jiancheng Zhang3
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.

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.

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Révisé le :
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Publié le :
DOI : 10.5802/crmeca.78
Mots clés : Fractional derivative, Fractional plasticity, Stress-dilatancy, Sand, Rockfill, State dependence
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
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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     title = {Fractional stress-dilatancy equation based on critical state lines with arbitrary form},
     journal = {Comptes Rendus. M\'ecanique},
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     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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