Limit analysis and inf-sup conditions on convex cones
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68145535%3A_____%2F19%3A00518792" target="_blank" >RIV/68145535:_____/19:00518792 - isvavai.cz</a>
Result on the web
<a href="https://congress.cimne.com/complas2019/frontal/Doc/EbookCOMPLAS2019.pdf" target="_blank" >https://congress.cimne.com/complas2019/frontal/Doc/EbookCOMPLAS2019.pdf</a>
DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Limit analysis and inf-sup conditions on convex cones
Original language description
This paper is focused on analysis and reliable computations of limit loads in perfect plasticity. We recapitulate our recent results arising from a continuous setting of the so-called limit analysis problem. This problem is interpreted as a convex optimization subject to conic constraints. A related inf-sup condition on a convex cone is introduced and its importance for theoretical and numerical purposes is explained. Further, we introduce a penalization method for solving the kinematic limit analysis problem. The penalized problem may be solved by standard finite elements due to available convergence analysis using a simple local mesh adaptivity. This solution concept improves the simplest incremental method of limit analysis based on a load parametrization of an elastic-perfectly plastic problem.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
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OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
<a href="/en/project/GA19-11441S" target="_blank" >GA19-11441S: Efficient and reliable computational techniques for limit analysis and incremental methods in geotechnical stability</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
COMPLAS 2019 - XV International Conference on Computational Plasticity. Fundamentals and Applications
ISBN
978-84-949194-7-3
ISSN
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e-ISSN
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Number of pages
12
Pages from-to
133-144
Publisher name
International Centre for Numerical Methods in Engineering (CIMNE)
Place of publication
Cornellà de Llobregat
Event location
Barcelona
Event date
Sep 3, 2019
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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