Subdifferential-based implicit return-mapping operators in computational plasticity

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F16%3A00304147" target="_blank" >RIV/68407700:21110/16:00304147 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/61989100:27740/16:86098728

Výsledek na webu

<a href="http://arxiv.org/abs/1503.03605" target="_blank" >http://arxiv.org/abs/1503.03605</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1002/zamm.201500305" target="_blank" >10.1002/zamm.201500305</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Subdifferential-based implicit return-mapping operators in computational plasticity

Popis výsledku v původním jazyce

In this paper we explore a numerical solution to elastoplastic constitutive initial value problems. An improved form of the implicit return-mapping scheme for nonsmooth yield surfaces is proposed that systematically builds upon a subdifferential formulation of the flow rule. The main advantage of this approach is that the treatment of singular points - apices or edges at which the flow direction is multivalued - only involves a uniquely defined set of non-linear equations, similarly to smooth yield surfaces. This paper focuses on isotropic models containing: a) yield surfaces with one or two apices (singular points) on the hydrostatic axis, b) plastic pseudo-potentials that are independent of the Lode angle, and c) possibly nonlinear isotropic hardening. We show that for some models the improved integration scheme also enables us to a priori decide about a type of the return and to investigate the existence, uniqueness, and semismoothness of discretized constitutive operators. The semismooth Newton method is also introduced for solving the incremental boundary-value problems. The paper contains numerical examples related to slope stability with publicly available Matlab implementations. (C) 2016 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

Název v anglickém jazyce

Subdifferential-based implicit return-mapping operators in computational plasticity

Popis výsledku anglicky

In this paper we explore a numerical solution to elastoplastic constitutive initial value problems. An improved form of the implicit return-mapping scheme for nonsmooth yield surfaces is proposed that systematically builds upon a subdifferential formulation of the flow rule. The main advantage of this approach is that the treatment of singular points - apices or edges at which the flow direction is multivalued - only involves a uniquely defined set of non-linear equations, similarly to smooth yield surfaces. This paper focuses on isotropic models containing: a) yield surfaces with one or two apices (singular points) on the hydrostatic axis, b) plastic pseudo-potentials that are independent of the Lode angle, and c) possibly nonlinear isotropic hardening. We show that for some models the improved integration scheme also enables us to a priori decide about a type of the return and to investigate the existence, uniqueness, and semismoothness of discretized constitutive operators. The semismooth Newton method is also introduced for solving the incremental boundary-value problems. The paper contains numerical examples related to slope stability with publicly available Matlab implementations. (C) 2016 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2016

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Zeitschrift für angewandte Mathematik und Mechanik

ISSN

0044-2267

e-ISSN

—

Svazek periodika

96

Číslo periodika v rámci svazku

11

Stát vydavatele periodika

DE - Spolková republika Německo

Počet stran výsledku

21

Strana od-do

1318-1338

Kód UT WoS článku

000387359600005

EID výsledku v databázi Scopus

2-s2.0-84977510858