Multi-scale Smoothed Finite Element

Title Alternative:Micro-mechanical Material Analysis
dc.contributor.authorHenyš, Petr
dc.date.accessioned2020-01-13T09:00:07Z
dc.date.available2020-01-13T09:00:07Z
dc.date.issued2019
dc.descriptionhabilitační prácecs
dc.description.abstractSimulations in material engineering must consider complex physical phenomena that have a non-linear character and interact with multiple time and space scales. In spite of the intensive development of computational technologies, spatial and temporal simulations penetrating signi cantly di erent scales, starting with the electron structure and visible at the end, can still be realized only very limited. This work is devoted to multi-scale homogenization starting from mathematical formulation and ends up with the construction of a model derived from real data. The rst part introduces a new implementation of periodic boundary conditions in the sense of the Nitsche's method and subsequently tested on complex material structures. The second part introduces the gradient smoothing technique and its use to improve the convergence properties of the nite element method and the accuracy of the estimation of the e ective material properties. The third part is devoted to the e ective reconstruction of brous textile structures from tomographic data including the estimation of morphological parameters.cs
dc.format.extent80 strancs
dc.identifier.urihttps://dspace.tul.cz/handle/15240/154341
dc.language.isocscs
dc.subjectperiodic boundary conditionscs
dc.subjectnite element methodcs
dc.subjectmulti-scale modellingcs
dc.subjectgradient smoothingcs
dc.subjectNitsche's methodcs
dc.subjectmicro CTcs
dc.subjectimage analysiscs
dc.titleMulti-scale Smoothed Finite Elementcs
dc.title.alternativeMicro-mechanical Material Analysis
local.facultyTextilní fakulta
local.verbis.studijniprogramTextilní technika a materiálové inženýrství
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