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Methods of Static Buckling Analysis
Svoboda, Filip ; Eliáš, Jan (referee) ; Frantík, Petr (advisor)
The aim of this theses is to create application, which is able to calculate buckling load of structure made from 1D bar elements, using finite element method. introduction is devoted to basic principles of buckling and derivation of necessary formulas. Then are described all operations and numerical methods needed for the application. At the and is in detail analyzed few structures and results are compared with known solutions or with other applications.
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Integration of microstructure informed enrichment base functions
Ladecký, Martin ; Zeman,, Jan (referee) ; Eliáš, Jan (advisor)
This thesis deals with problems related to the numerical integration of rapidly oscillatory functions. Analyze classical methods of numerical integration and compare them with method published by David Levin\cite{levin82}. Levin's method is applied in solving Laplace differential equation that describes deflection of membrane. To solve potential problem is used hybrid finite element method with Trefftz bases functions.
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Analysis of crack propagation using J-integral
Bónová, Kateřina ; Květoň, Josef (referee) ; Eliáš, Jan (advisor)
The bachelor thesis is focused on importance and application of J-integral in crack propagation analysis. J-integral is a method of fracture mechanics used to determine the strain energy release rate. In other words it provides the amount of energy available for crack propagation in elastic and elasto-plastic materials. The thesis presents derivations of relations between J-integral, crack driving force and stress intensity factor. The most important contribution of this thesis is detailed analytical calculation of the J-integral on simple structures. The results are verified by numerical models in ANSYS.
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Nonlinear analysis of reinforced concrete foot failure
Dubina, Radek ; Václav,, Veselý (referee) ; Eliáš, Jan (advisor)
Reinforced concrete monolithic feet are one kind of shallow foundation used mainly under column systems. These systems transfer the load from upper floors through columns to the feet and through them to the foundation soil. Interaction between the foot and the foundation soil plays an important role due to the system sensitivity to the uneven settlement. Feet has to resist shear induced by vertical force and bending moment caused by stress in footing bottom. The work is devoted to design of the foot according to European standard Eurocode 2. It is then focused on numerical simulation of foot failure and calculation of the corresponding maximal vertical force in the column using a 3D model with nonlinear material models of subsoil, reinforcement and concrete. The calculations are done in software ATENA 3D for different variants of subsoil, reinforcement and foot shape. Results according to European standard and nonlinear analysis are compared.
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Modeling of fracture process in quasi-brittle materials
Klon, Jiří ; Eliáš, Jan (referee) ; Veselý, Václav (advisor)
This work is focused on the evaluation of the selected fracture parameters of quasi-brittle material, especially concrete, and an assessment of their dependence on the size and shape of the fracture process zone developing at the tip of the macroscopic crack during fracture. For this purpose, experimentally obtained loading diagrams published in the scientific literature have been utilized. These diagrams have been processed into a form enabling creation and calibration of numerical models of these tests in the ATENA FEM program. The results obtained from simulations of the three-point bending tests on beams of four sizes, with three notches lengths, using the created numerical models were used for determination of fracture parameters of concrete. Results of the work consist of the determined values of the specific energy dissipated for creation of new surfaces of the effective crack and an estimation of the specific energy dissipated in the volume of the fracture process zone, which exhibits specific parameters for each beam size and notch length.
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Modelling of postcritical states of slender structures
Mašek, Jan ; Eliáš, Jan (referee) ; Frantík, Petr (advisor)
The aim of the presented thesis is to create a compact publication which deals with properties, solution and examination of behavior of dynamical systems as models of mechanical structures. The opening portion of the theoretical part leads the reader through the subject of description of dynamical systems, offers solution methods and investigates solution stability. As the introduction proceeds, possible forms of structure loading, damping and response are presented. Following chapters discuss extensively the possible approaches to system behavior observation and identification of nonlinear and chaotic phenomena. The attention is also paid to displaying methods and color spaces as these are essential for the examination of complex and sensitive systems. The theoretical part of the thesis ends with an introduction to fractal geometry. As the theoretical background is laid down, the thesis proceeds with an application of the knowledge and shows the approach to numerical simulation and study of models of real structures. First, the reader is introduced to the single pendulum model, as the simplest model to exhibit chaotic behavior. The following double pendulum model shows the obstacles of observing systems with more state variables. The models of free rod and cantilever serve as examples of real structure models with many degrees of freedom. These models show even more that a definite or at least sufficiently relevant monitoring of behavior of such deterministic systems is a challenging task which requires sophisticated approach.
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Simulation of concrete fracture using nonlocal model
Květoň, Josef ; Vořechovský, Miroslav (referee) ; Eliáš, Jan (advisor)
The thesis deals with nonlocal model simulations of the three-point-bening test series. The model is applied to set of beams of variable size and notch depth. The intention is to identify such parameters that would provide the response of the nonlocal model similar to experimental data from the comprehensive fracture tests performed at the Northwestern University. Size and shape of the process zone are estimated from the discrete model results and according to that the parameters of weight function and material for the nonlocal model are identified. Results obtained with the model are compared to the experimental data.
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Discrete modelling of railway ballast
Dubina, Radek ; Petr,, Frantík (referee) ; Eliáš, Jan (advisor)
For modeling of particulate materials, discrete element method (DEM) is commonly used. It perceives every particle like a single body. A railway ballast loading by trains is a typical example of a particulate discrete material. By a passing train, static and dynamic forces act on a track bed. Cycling loading results in pernament changes in the railway ballast. Cavity creation, agglomeration and ballast cracking lead to damages in rail traffic. Usage of the discrete element method may reveal the real issues of the railway ballast and it may leads to a reduction of costs associated with a design and repairs. This thesis is focused on the ballast modeling and identification of the discrete model parameters. Obtained results are compared with real experiments from Nottingham University.
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Identification of changes in surface texture of the selected materials by the method of acoustic emission
Eliáš, Jan ; Bumbálek, Bohumil (referee) ; Mazal, Pavel (advisor)
This Bachelor thesis deals with monitoring changes in surface roughness of moving metal objects rubbing each other on selected parameters of acoustic emissions. Parameters of the AE signal during the movement of bronze and cast iron bodies on the surface of a fixed steel rod were measured, recorded and analyzed. These results can serve for further research on assessment possibilites of the degree of wear of a surface using the AE method. Measuring was performed using a measuring product intended for AE and the Dakel sensors and measuring software.
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Steel Beam Structure Optimization
Lamoš, Radek ; Eliáš, Jan (referee) ; Frantík, Petr (advisor)
The main subject of this work is to find ideal solution of the steel frame structure and offer the best solution to investors. The aim is to get know how steel structures works, write down internal forces when parametres are changing. Parameters can be profiles, loads or many others. The output should be perfectly optimized construction. The content combines theory of structural mechanics and designing steel structures. This project could be very useful in practice designing of steel frame structures with the possibility of expansion by other parameters.
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