Properties and simplifications of constitutive time-discretized elastoplastic operators

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68145535%3A_____%2F14%3A00399485" target="_blank" >RIV/68145535:_____/14:00399485 - isvavai.cz</a>

Výsledek na webu

<a href="http://onlinelibrary.wiley.com/doi/10.1002/zamm.201200056/pdf" target="_blank" >http://onlinelibrary.wiley.com/doi/10.1002/zamm.201200056/pdf</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1002/zamm.201200056" target="_blank" >10.1002/zamm.201200056</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Properties and simplifications of constitutive time-discretized elastoplastic operators

Popis výsledku v původním jazyce

In the paper, a general constitutive elastoplastic model for associated plasticity is investigated. The model is based on the thermodynamical framework with internal variables and can include basic plastic criteria with a combination of kine- matic hardening and non-linear isotropic h ardening. The corresponding initial val ue constitutive elastoplastic problem is discretized by the implicit Euler method. The discretized one-time-step constitutive pr oblem defines the elastoplastic operator, which is formulated by a simple generalization of a projection onto a convex set. Properties of the so-called generalized projection are used for deriving basic propertie s of the elastoplastic operator like potentiality, monotonicity, Lipschitz continuity and local semismoothness. Further, hardening variables are eliminated from the projective definition of the elastoplastic operators, which yields relations among the models with hardening variables and the perfect plasticity model. Also a simplif

Název v anglickém jazyce

Properties and simplifications of constitutive time-discretized elastoplastic operators

Popis výsledku anglicky

In the paper, a general constitutive elastoplastic model for associated plasticity is investigated. The model is based on the thermodynamical framework with internal variables and can include basic plastic criteria with a combination of kine- matic hardening and non-linear isotropic h ardening. The corresponding initial val ue constitutive elastoplastic problem is discretized by the implicit Euler method. The discretized one-time-step constitutive pr oblem defines the elastoplastic operator, which is formulated by a simple generalization of a projection onto a convex set. Properties of the so-called generalized projection are used for deriving basic propertie s of the elastoplastic operator like potentiality, monotonicity, Lipschitz continuity and local semismoothness. Further, hardening variables are eliminated from the projective definition of the elastoplastic operators, which yields relations among the models with hardening variables and the perfect plasticity model. Also a simplif

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

<a href="/cs/project/ED1.1.00%2F02.0070" target="_blank" >ED1.1.00/02.0070: Centrum excelence IT4Innovations</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2014

Kód důvěrnosti údajů

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

Název periodika

ZAMM-Zeitschrift fur Angewandte Mathematik und Mechanik

ISSN

0044-2267

e-ISSN

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Svazek periodika

94

Číslo periodika v rámci svazku

3

Stát vydavatele periodika

DE - Spolková republika Německo

Počet stran výsledku

23

Strana od-do

233-255

Kód UT WoS článku

000332331200003

EID výsledku v databázi Scopus

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