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Deformacija anizotropne cilindrične lupine pod vplivom hidrostatičnega tlaka
ID Brajnik, Luka (Author), ID Brojan, Miha (Mentor) More about this mentor... This link opens in a new window

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Abstract
Podolgovate bakterije se pod hidrostatičnim tlakom, gledano skozi prizmo izotropnega materiala, deformirajo nekoliko neobičajno, saj se lahko ob pričakovanem manjšanju cilindričnega premera njihova dolžina povečuje. V tem delu smo predpostavili, da je razlog v anizotropni strukturi celične membrane bakterije. Postavili smo model bakterije, kot tankostenskega valja, iz homogenega, transverzalno izotropnega materiala, z usmeritvijo simetrijske osi v smeri nitastih struktur v steni bakterije. Za ta model smo nato izpeljali deformacijske enačbe. Enačbe smo nato analizirali ter ugotovili, da želeno deformacijsko stanje dobimo le za določeno kombinacijo snovnih parametrov. Z raziskavo smo pridobili ustrezen model, ki lahko opiše deformacijo bakterij in je preprost z vidika razumevanja kot tudi računanja dejanskih deformacij.

Language:Slovenian
Keywords:deformacija bakterije, analitični model, nitasta struktura, anizotropen material, parametrična analiza
Work type:Final paper
Typology:2.11 - Undergraduate Thesis
Organization:FS - Faculty of Mechanical Engineering
Place of publishing:Ljubljana
Publisher:[L. Brajnik]
Year:2020
Number of pages:IX, 21 f.
PID:20.500.12556/RUL-119761 This link opens in a new window
UDC:539.3:579.83:519.6(043.2)
COBISS.SI-ID:31472131 This link opens in a new window
Publication date in RUL:11.09.2020
Views:1227
Downloads:167
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Secondary language

Language:English
Title:Deformation of an anisotropic cylindrical shell under hydrostatic pressure
Abstract:
Rod shaped bacteria under hydrostatic pressure load, observed from a perspective of an isotropic material, deform rather unusually, with the expected reduction of cylindrical diameter their length increases. In this work we assumed, that the reason for this is in the anisotropic structure of the cell wall of the bacterium. We set up a model of the bacterium as a thin-walled cylinder formed from a homogeneous, transversely isotropic material, with the symmetry axis in the direction of the fibrous structure within the cell wall. We then derived the deformation equations for this model. We analysed these equations and found out that we get the desired deformation state only for a specific combination of the base parameters. With this research we gained an appropriate model, that can describe the deformation of bacteria and is simple from the perspective of understanding it as well as actual computation of the deformation.

Keywords:deformation of a bacterium, analytical model, filamentous structure, anisotropic material, parametric analysis

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