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Deformations of viscoelastic materials - modeling and computational analysis of selected models
Tůma, Karel ; Málek, Josef (advisor) ; Matyska, Ctirad (referee)
In the present work we derive two nonlinear models for incompressible rate type fluids that describe the behaviour of the viscoelaastic fluids. Making the linearization of the elastic response, we obtain two models similar to the popular models for viscoelastic fluid - Oldroyd-B and Burgers model. Furthermore, we modify the nonlinear model by assuming that one of the coefficient depends on the first invariant of the deformation gradient. We present an experiment that documents the stress relaxation of asphalt in the cylindrical geometry. We study the flow at two different eometries - the paralel plate flow and the axially symmetric cylinder flow. If it is possible, the problems are solved analytically, otherwise they are solved numerically. We investigate what model is capable of fitting the experimental data.
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Nonlinear rheological models and dynamic processes in the Earth interior
Ulvrová, Martina ; Čížková, Hana (advisor) ; Matyska, Ctirad (referee)
Nu/ev prace: Nelinrarni n-olujMcke niodely: popis dynamickych procesu v xeni- skem nitru Autor: Martina Ulvrova. Katedra (ustav): Katedra geofyziky Vedouei bakalafskc prace: Mgr. Ha.na C'i/kova,. Ur. e-mail vedouciho: hk:(lkarel.1roja.niff.euni.c/ Abslrakt: V pfedlo/,ene praci studujeme uelineanii visko/ni reolojncky popis, ktery je tiYba uva/ovat \ni numi'i'iekem inodelova.ni j)rc)cesu litostericke subdukee. Na.s kompo/,itm' model xaliriiujf tfi tlelbrmacni ineehani'/mv: linearni ncwtonov- ske tcreiii. mocliimiy dislokaeni creep a neliiic'avii] Peieiisovo tectini. Pro nV/ne hlou!)ky a velikowti zrn ukazii)eme, Jake i'eolo^it:ke iiKx-liani/niy so nplatnnji xa. danyeh te])lotnich, tlakovych a uajjelovyeli pudiniiu'k od])ovida jieii-li ru/nym ob~ last.em ])lasle. Dale tento reoloj^icky popis a.plikujemc na model piedpokladanelio ro/lozeni teploty a nap(Hi v snbdukovane desce a diskuUijeme, ja.k se jedinitlive mechani/uiy podileji na defbrmaci desky. Klicova slova: snlxlukce liiosiery; rrolo^ie; dcformarni mapy Title: Nonlinear rheological models: Description of dynamic processes in the Earth 's interior Author: Martina Ulvrova Department: Dejjartment of geophysis Supervisor: M^r. liana Oi/kova, Dr. Supervisor's e-mail address: Abstract: In the present work we study nonlinear viscous rhrolov that should be...
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