On a general numerical scheme for the fractional plastic flow rule

•Application of fractional calculus in elasto-plasticity.•Non-normality of plastic flow.•Induced plastic anisotropy.•General numerical scheme for any smooth and convex yield function. This paper presents a general numerical scheme for the fractional plastic flow rule, dedicated to a wide class of ma...

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Vydané v:Mechanics of materials Ročník 116; s. 120 - 129
Hlavní autori: Sumelka, Wojciech, Nowak, Marcin
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Elsevier Ltd 01.01.2018
Predmet:
Fractional calculus
Non-normality
Plastic anisotropy
Return mapping algorithm
Plastic anisotropy
Non-normality
Fractional calculus
Return mapping algorithm
ISSN:0167-6636, 1872-7743
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Popis
Shrnutí:•Application of fractional calculus in elasto-plasticity.•Non-normality of plastic flow.•Induced plastic anisotropy.•General numerical scheme for any smooth and convex yield function. This paper presents a general numerical scheme for the fractional plastic flow rule, dedicated to a wide class of materials manifesting the non-normality of plastic flow and induced plastic anisotropy. To determine the vector of the plastic flow, a special numerical procedure has been developed, which is applicable for any smooth and convex yield function. The obtained approximation is verified based on an analytical solution. The paper also presents a set of numerical results for the generalised Drucker–Prager model.
ISSN:0167-6636
1872-7743
DOI:10.1016/j.mechmat.2017.02.005