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13.
Deformacijsko in napetostno stanje v zmerno debeli plošči
Kumperščak, Vitodrag ; Brešar, France
V članku obravnavamo deformacijsko in napetostno stanje pri upogibu elastične, homogene in izotropne plošče. Ob predpostavki, da je obtežba plošče večkrat harmonična funkcija, izpeljemo najprej ...enačbo za komponento napetostnega tenzorja ... in nato iz Navier-Lamejevih enačb še enačbe za pomike. Enačbe za komponente napetostnega tenzorja in za pomike so polinomi glede na koordinato z, v katerih so koeficienti funkcije x in y, za pomike srednje ravnine pa dobimo diferencialne enačbe. Dobljene enačbe prevedemo v valjni koordinatni sistem, tako da so uporabne tudi za krožne plošče in zapišemo nekaj rezultatovza konkretni primer.
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