Mehanistični opis deformacije bakterijskih sten pod vplivom hidrostatičnega tlaka

Pirnar, Kaja (author), Brojan, Miha (mentor)

V nalogi se bomo ukvarjali s popisom odziva sferocilindrične bakterije na vpliv hidrostatičnega tlaka. Na poenostavljenem modelu bakterije, ki je tankostenski valj, bomo izvedli izračun deformacij z upoštevanjem transverzalne anizotropičnosti bakterijske stene in hiperelastičnosti materiala stene. Najprej bomo izračun izvedli numerično za dva hiperelastična materialna modela, potem pa bomo izračun nadgradili s FEM-analizo. Pri analizi rezultatov obeh metod izračuna bomo ugotovili, da med obema rezultatoma pride do odstopanja, ki pa izhaja iz specificiranih predpostavk.

• Language: Slovenian
• Keywords: transverzalna anizotropija, sferocilinder, hiperelastičnost, Neo-Hookov model, Holzapfel-Gasser-Ogdenov model
• Work type: Master's thesis/paper
• Organization: FS - Faculty of Mechanical Engineering
• Year: 2024
• PID: 20.500.12556/RUL-164429
• Publication date in RUL: 25.10.2024

Secondary language

• Language: English
• Title: Mechanistic description of bacterial wall deformation under hydrostatic pressure

Abstract

In this thesis, we will investigate the response of a spherocylindrical bacterium to hydrostatic pressure. Using a simplified model of the bacterium, represented as a thin-walled cylinder, we will calculate the deformations, considering the transverse anisotropy of the bacterial wall and the hyperelasticity of the wall material. First, we will numerically perform the calculations for two hyperelastic material models, followed by an enhancement of the analysis using the Finite Element Method (FEM). Upon comparing the results from both calculation methods, we will identify discrepancies, which stem from the underlying assumptions specified in each approach.

• Keywords: transversal anisotropy, spherocylinder, hyperelasticity, Neo-Hooke model, Holzapfel-Gasser-Ogden model