Bounding surface plasticity for sand using fractional flow rule and modified critical state line

Sun, Yifei; Sumelka, Wojciech; Gao, Yufeng

doi:10.1007/s00419-020-01737-9

Cited by 10 publications

(1 citation statement)

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“…Despite the above successful applications, the FP-n models based on MCC function usually predicted much higher dilatancy for sand at the same stress level when compared to the corresponding test data [ 41 ]. This can be attributed to the larger elastic region of the MCC yielding surface at the ‘dry’ side ( Figure 3 modified from [ 42 ]) of the critical state line in the

plane [ 43 ]. For modelling sand, the original Cam-clay (CC) function [ 38 ] with reduced elastic region seems to work better.…”

Section: Progress In Fpmentioning

confidence: 99%

Review on Stress-Fractional Plasticity Models

Sun

Sumelka

2022

Materials

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Fractional calculus plays an increasingly important role in mechanics research. This review investigates the progress of an interdisciplinary approach, fractional plasticity (FP), based on fractional derivative and classic plasticity since FP was proposed as an efficient alternative to modelling state-dependent nonassociativity without an additional plastic potential function. Firstly, the stress length scale (SLS) is defined to conduct fractional differential, which influences the direction and intensity of the nonassociated flow of geomaterials owing to the integral definition of the fractional operator. Based on the role of SLS, two branches of FP, respectively considering the past stress and future reference critical state can be developed. Merits and demerits of these approaches are then discussed, which leads to the definition of the third branch of FP, by considering the influences of both past and future stress states. In addition, some specific cases and potential applications of the third branch can be realised when specific SLS are adopted.

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plane [ 43 ]. For modelling sand, the original Cam-clay (CC) function [ 38 ] with reduced elastic region seems to work better.…”

Section: Progress In Fpmentioning

confidence: 99%