Velike deformacije lupin pri nelinearnih materialnih modelih : doktorska disertacija
Brank, Boštjan
V delu je predstavljena geometrijsko in materialno nelinearna teorija lupin, ki velja za neomejeno velike pomike in rotacije lupine. Izpeljana je iz tridimenzionalne teorije s pomočjo predpostavke o ...linearnem poteku pomikov po debelini. S poenostavitvijo členov, ki opisujejo geometrijo, dobimo model, ki je primeren za tanke lupine. Zasuk smernika lupine je opisan na dva načina: z dvema Eulerjevima kotoma in z rotacijskim vektorjem, ki je lastni vektor zasuka. Geometrijsko nelinearni model je razširjen z vključitvijo nekaterih nelinearnih materialov. Obravnavamo hiperelastične snovi Ogdenovega tipa, elastoplastične snovi in materiale, katerih lastnosti se po debelini lupine spreminjajo. Slednji lahko vključujejo elastične snovi z različno stopnjo ortotropnosti, kar je tipično za kompozite, ki so ojačani z vlakni. Posebna pozornost je namenjena natančni linearizaciji kinematike in materialnih modelov. Pri reševanju nelinearnih enačb z Newto-Raphsonovo metodo imajo zaradi tega algoritmi kvadratično konvergenco v bližini rešitve. S tem dobimo učinkovit model, ki je primeren za analizo hiperelastičnih, elastoplastičnih in kompozitnih lupin.
Type of material - dissertation
; adult, serious
Publication and manufacture - Ljubljana : [B. Brank], 1994
Central Technological Library of the University of Ljubljana
52047/1100 Skladišče IN: 399900012
available - outside loan, loan period: 14 days
Faculty of Civil and Geodetic Engineering, Ljubljana
Centralna knjižnica na Jamovi 043.3 BRANK B. Velike IN: 020040097
available - outside loan, loan period: 1 months
Faculty of Civil and Geodetic Engineering, Ljubljana
Centralna knjižnica na Jamovi Č 043.3 BRANK B. Velike IN: 000023182
available - outside loan, loan period: 1 months
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