magistrsko delo magistrskega študijskega programa II. stopnje Strojništvo
Jan Zavodnik (Author), Miha Brojan (Mentor), Andrej Košmrlj (Co-mentor)

Abstract

V delu je predstavljena splošna tri-dimenzionalna kontinuumska teorija, s katero je mogoče opisati rast in mehanske pojave pri raznovrstnih polimernih gradivih in rastlinskih ter živalskih tkivih. Teorija je uporabna za analizo in boljše razumevanje razvoja človeških organov, kot so pljuča, ledvice, črevo, možgani, itn. Poleg tega jo je možno uporabiti za modeliranje poškodb različnih človeških organov ob trkih v nezgodah, med operacijami ali v drugih nevarnih razmerah. Mehanski model, izpeljan v tem delu, temelji na teoriji velikih pomikov. Z njim je mogoče opisati visko-hiperelastične pojave pri deformacijah in obremenitvah tkiva, vključuje pa tudi rast tkiv in s tem povezano disipacijo energije. Model v tej nalogi je izpeljan tako, da izpolnjuje zakone kontinuumske mehanike in je termodinamsko pravilen. Rešitev modela smo iskali numerično, z metodo končnih elementov, ki je vgrajena v knjižnici FEniCS. Poleg tega smo po zgledu literature izpeljali tudi lastni analitični model gubanja rastočega filma na visko-elastični podlagi, s katerim smo primerjali in ovrednotili numerične simulacije našega modela.

Keywords

magistrske naloge;mehanika kontinuov;visko-hiperelastičnost;mehanika rasti;gubanje;metoda končnih elementov;

Data

Language: Slovenian
Year of publishing:
Typology: 2.09 - Master's Thesis
Organization: UL FS - Faculty of Mechanical Engineering
Publisher: [J. Zavodnik]
UDC: 539.3:519.61(043.2)
COBISS: 16865051 Link will open in a new window
Views: 1110
Downloads: 159
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Other data

Secondary language: English
Secondary title: Finite strain visco-hyperelastic model for soft tissues growth modelling
Secondary abstract: A general three dimensional continuum theory for growth and elastic deformation modelling of polymer materials, plant and animal tissues is presented. It can be used to better understand the development of human organs, such as lungs, kidneys, guts, brains, etc. It can also be used to model the damage to brain or other vital human body parts inflicted by impact, during surgery or in other hazardous situations. The mechanical model derived in this work is based on the theory of finite strains. It can be used to model visco-hyperelastic phenomena during tissue growth, deformation, relaxation and its intrinsic energy dissipation. The model follows the laws of continuum mechanics and is thermodynamically correct. The solution of partial differential equations of the model is obtained with the use of finite element method, incorporated in FEniCS library. To verify the developed continuum model, a simplified analytical model based on typical examples from the literature is derived.
Secondary keywords: continuum mechanics;visco-hyperelasticity;growth mechanics;wrinkling;finite element method;
Type (COBISS): Master's thesis/paper
Study programme: 0
Embargo end date (OpenAIRE): 2021-08-28
Thesis comment: Univ. Ljubljana, Fak. za strojništvo
Pages: XXIII, 75 str.
ID: 11210439