Építés - Építészettudomány
Volume/Issue:
Volume 42: Issue 1-2
Wrinkling of stretched, thin sheets: Occurrence and disappearance of the wrinkling pattern
Authors:
Eszter Fehér BME Építészmérnöki Kar Budapest Magyarország

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András Sipos BME Szilárdságtani és Tartószerkezeti Tanszék 1111 Budapest Műegyetem rkp. 3. K. 261 Magyarország

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Pages:
23–42
Online Publication Date:
11 Mar 2014
Publication Date:
01 Mar 2014
Article Category:
Research Article
DOI:
https://doi.org/10.1556/eptud.42.2014.1-2.2
Keywords:
Föppl-von Kármán plate theory; finite strain; wrinkling; simulation of nonlinear partial differential equations; pattern formation;
Keywords (Hungarian):
nagy lehajlású; vékony lemezek Kármán Tódor-féle elmélete; véges nyúlás; ráncosodás; nemlineáris parciális differenciálegyenletek szimulációja; minták keletkezése;
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Írásunkban két végén befogott, vékony (100 μm-nél vékonyabb) lemezek egyirányú húzás hatására bekövetkező ráncosodását vizsgáljuk. Az irodalomban széles körben használt, infinitezimális nyúlásokon alapuló Kármán Tódor-féle nagy lehajlású, vékony lemezek elmélete a nyújtás egy kritikus értéke felett a ráncos mintázat stabilitását jósolja, függetlenül a további nyújtás mértékétől. Numerikus szimulációk alapján a ráncos mintázat korlátlan stabilitása nem igazolható akkor, ha az elméleti levezetés (összhangban a terheléssel) véges nyúlásokat is megenged. Ez utóbbi modellben a triviális, síkbeli megoldás egy második bifurkációs pontban visszanyeri stabilitását. Jelen írás célja ezen előrejelzés kísérleti igazolása polipropilén szalagok elmozdulás-vezérelt nyújtásával. A kísérletekből meghatározott elágazási pontoknak a paramétertérben elfoglalt helye jó egyezést mutat a kiterjesztett elméleten alapuló, a nemlineáris végeselem-módszert a Newton-Raphson-módszerrel ötvöző algoritmus eredményeivel.

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Cover Építés - Építészettudomány
Építés - Építészettudomány
Print ISSN:
0013-9661
Online ISSN:
1588-2764

Senior editors

Editor(s)-in-Chief: Sajtos, István, Budapest University of Technology and Economics, Budapest, Hungary

Editor(s): Krähling, János, Budapest University of Technology and Economics, Budapest, Hungary

Co-ordinating Editor(s): Gyetvainé Balogh, Ágnes, Budapest University of Technology and Economics, Budapest, Hungary

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Építés - Építészettudomány
Language English
Hungarian
Size B5
Year of
Foundation		 1957
Volumes
per Year		 1
Issues
per Year		 4
Founder Magyar Tudományos Akadémia  
Founder's
Address		 H-1051 Budapest, Hungary, Széchenyi István tér 9.
Publisher Akadémiai Kiadó
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ISSN 0013-9661 (Print)
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