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

Result code in 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>
Result on the web
<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>

Result language
angličtina
Original language name
On the choice of functions spaces in the limit analysis for masonry bodies
Original language description
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).
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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