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Article


Title

Review on Stress-Fractional Plasticity Models

Authors

[ 1 ] Instytut Analizy Konstrukcji, Wydział Inżynierii Lądowej i Transportu, Politechnika Poznańska | [ P ] employee

Scientific discipline (Law 2.0)

[2.6] Civil engineering and transport

Year of publication

2022

Published in

Materials

Journal year: 2022 | Journal volume: vol. 15 | Journal number: iss. 21

Article type

scientific article

Publication language

english

Keywords
EN
  • fractional derivative
  • fractional plasticity
  • nonassociated
  • state dependence
Abstract

EN 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.

Date of online publication

04.11.2022

Pages (from - to)

7802-1 - 7802-18

DOI

10.3390/ma15217802

URL

https://www.mdpi.com/1996-1944/15/21/7802

Comments

Article Number: 7802

License type

CC BY (attribution alone)

Open Access Mode

open journal

Open Access Text Version

final published version

Date of Open Access to the publication

at the time of publication

Ministry points / journal

140.0

Impact Factor

3.748 [List 2021]

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