On the choice of functions spaces in the limit analysis for masonry bodies

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F12%3A00392481" target="_blank" >RIV/67985840:_____/12:00392481 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.2140/jomms.2012.7.795" target="_blank" >http://dx.doi.org/10.2140/jomms.2012.7.795</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.2140/jomms.2012.7.795" target="_blank" >10.2140/jomms.2012.7.795</a>

Jazyk výsledku

angličtina

Název v původním jazyce

On the choice of functions spaces in the limit analysis for masonry bodies

Popis výsledku v původním jazyce

The kinematic and static problems of limit analysis of no-tension bodies are formulated. The kinematic problem involves the infimum of kinematically admissible multipliers, and the static problem the supremum of statically admissible multipliers. The central question of the paper is under which conditions these two numbers coincide. This involves choices of function spaces for the competitor displacements and competitor stresses. A whole ordered scale of these spaces is presented. These problems are formulated as convex variational problems considered by Ekeland and Temam. The static problem is unconditionally shown to be the dual problem (in the sense of the mentioned reference) of the kinematic problem. A necessary and sufficient condition, the normality, guarantees that the kinematic and static problems give the same result. The normality is not always satisfied, as examples show (one of which is presented here).

Název v anglickém jazyce

On the choice of functions spaces in the limit analysis for masonry bodies

Popis výsledku anglicky

The kinematic and static problems of limit analysis of no-tension bodies are formulated. The kinematic problem involves the infimum of kinematically admissible multipliers, and the static problem the supremum of statically admissible multipliers. The central question of the paper is under which conditions these two numbers coincide. This involves choices of function spaces for the competitor displacements and competitor stresses. A whole ordered scale of these spaces is presented. These problems are formulated as convex variational problems considered by Ekeland and Temam. The static problem is unconditionally shown to be the dual problem (in the sense of the mentioned reference) of the kinematic problem. A necessary and sufficient condition, the normality, guarantees that the kinematic and static problems give the same result. The normality is not always satisfied, as examples show (one of which is presented here).

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

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2012

Kód důvěrnosti údajů

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

Název periodika

Journal of Mechanics of Materials and Structures

ISSN

1559-3959

e-ISSN

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Svazek periodika

7

Číslo periodika v rámci svazku

8

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

42

Strana od-do

795-836

Kód UT WoS článku

000314220500005

EID výsledku v databázi Scopus

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