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Possibilities of estimation of selected fracture parameters under conditions of LEFM
Zouhar, Petr ; Hutař, Pavel (referee) ; Ševčík, Martin (advisor)
The presented bachelor´s thesis deals with possibilities of estimation of selected fracture parameters under conditions of linear elastic fracture mechanic (LEFM). The aim of this thesis is to quantify the accuracy of specific methods for the estimation of fracture parameters from a known stress and strain field obtained using numerical methods. Thesis is solved using finite element method. The work is divided into two logical parts. The first part of the thesis describes the basic concepts of LEFM and selected methods used for estimation of fracture parameters, namely the stress intensity factor, strain energy release rate and J-integral. A detailed description of the numerical model, a sensitivity analysis of the FEM mesh density and obtained results are described in the second part, focused on the solution of the problem,. The accuracy of each method is expressed by comparing with a known reference value of stress intensity factor. The applicability of selected methods for estimation of the stress intensity factor is shown on a practical example of three-dimensional body containing a crack.
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Fatigue life prediction models
Hurta, Filip ; Vaněk, František (referee) ; Sladký, Martin (advisor)
Evaluation of fatigue is essential for determining operational capabilities of mechanical parts. Principles of material fatigue are discussed in this bachelor thesis. Most attention is paid to linear elastic fracture mechanics and variable amplitude loading. There are mathematical models, that describe conditions in the center of damaging. In the text there are described chosen models based on fracture mechanics. On basis of the conducted research, a computer program was developed, solving a crack growth in a specimen, depending on the defined loading. This program does not consider interaction effects during the loading sequence. Program output validation was performed by comparison of given results with the calculation and tests results from the literature. The data correlate with the non-interaction predictions, but comparison with the reality demonstrates the importance of interaction effects in complex loading.
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Numerical support for wedge splitting test on non-traditional geometry
Juhászová, Tereza ; Malíková, Lucie (referee) ; Seitl, Stanislav (advisor)
Bachelor thesis is focused on numerical support of wedge splitting test with non-traditional geometry. Numerical analysis takes place in program Ansys, defining behavior of models with modified entry parameters. Attention is focused on values of parameters characteristic for fracture mechanics; stress intensity factor and T-stress and functions describing their relationship to length of crack, evaluation of which is graphically illustrated.
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Crack path calculation using linear elastic fracture mechanics
Bónová, Kateřina ; Malíková, Lucie (referee) ; Eliáš, Jan (advisor)
This diploma thesis deals with the different possible calculations of crack path. Specifically, it focuses on criteria based on maximum tangential stress, minimal strain energy density, crack tip displacement, and local symmetry. These criteria are used for calculations in ANSYS software to estimate possible crack paths on four simple structures. The thesis also contains the codes created in ANSYS. Using these, the crack trajectory of a given structure can be calculated by any of the four criteria described.
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Evaluation of Fracture Tests on Selected Building Material Specimens via Double-K Model
Havlíková, Ivana ; Králík,, Juraj (referee) ; Němeček,, Jiří (referee) ; Keršner, Zbyněk (advisor)
The purpose of dissertation is the analysis of the calculation of fracture parameters using Double-K fracture model for quasi-brittle specimens with the stress concentrator loaded by three-point bending or wedge splitting. To calculation of these parameters was used the developed DKFM_BUT software in Microsoft Excel application with using of Visual Basic programming language. Furthermore, the adequate shape functions and compliance functions were introduced for the selected wedge splitting test configurations. Main part of this dissertation is the series of comprehensively implemented and evaluated fracture experiments on specimens from advanced building materials, while the attention was paid to the analysis of experimental data. Finally, the selected results obtained using mentioned software support were presented and discussed.
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Basic features of aggregate-matrix-interface fracture of selected building composites
Vyhlídal, Michal ; Seitl, Stanislav (referee) ; Keršner, Zbyněk (advisor)
The aim of this work is to analyze the behavior of cement composite, depending on the features of ITZ. The first part of the thesis is theoretical and deals with the origin and features of ITZ, defines the basic relationships and concepts of continuum mechanics and linear elastic fracture mechanics and presents crack tips posibilities in the three-phase composite, including their short characterization. The second part is practical and describes creation of numerical model in the ANSYS software, presentation of partial results and compare of them. The result of this work is a comparison of the mean values of stress and amplitude of stress depending on the features of ITZ.
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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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Methodology of analysis of wing structure with respect to Widespread Fatigue Damage (WFD)
Bulko, Martin ; Augustin, Petr (referee) ; Vlček, Dalibor (advisor)
Diplomová práce popisuje metodiku výpočtů částí náchylných k rozvoji mnoho-ohniskového únavového poškození (WFD). Nejdříve se práce zabývá rozborem předpisů letové způsobilosti souvisejících s WFD pro letadla certifikovaných podle FAR 23 v kategorii commuter. Následuje popis metodiky únavového výpočtu a predikce šíření trhliny. Dále jsou popsány řešení pro výpočet faktoru intenzity napětí pro základné konfigurace trhliny, tam kde to bylo možné v uzavřeném tvaru, jinak ve formě tabulky. Hlavní částí práce je návrh algoritmu AIMA schopného provést kompletní analýzu části náchylné k rozvoji únavového poškození na více místech (MSD). Model se validoval únavovou zkouškou vzorku přeplátovaného spoje dolního panelu křídla. Následně byla analyzována reálná konstrukce spoje dolních panelů křídla letounu L 410 NG.
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Fatigue crack front shape estimation
Zouhar, Petr ; Klusák, Jan (referee) ; Hutař, Pavel (advisor)
The presented master’s thesis deals with fatigue crack front shape estimation. The aim of this thesis is to create an iterative process leading to the real fatigue crack front shape. Thesis is solved using finite element method. The work is divided into two logical parts. The first part of the thesis describes the basic concepts of linear elastic fracture mechanic (LEFM), methods used for estimation of stress intensity factor and stress singularity exponent. The first part further describes some phenomenon’s accompanying the mechanism of fatigue crack growth as for example crack tip curving and crack closure. In the second part of the thesis there is studied an affect of the free surface on the fracture parameters, especially the affected distance from the free surface is determined. Based on the assumption of a constant stress intensity factor and stress singularity exponent along the crack front, an iterative process leading to fatigue crack front shape is presented. The accuracy of the result is discussed by comparing of obtained crack front shapes with experimental data at the end of the thesis.
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Prediction of slow crack growth in polymer pressure pipes
Luky, Robin ; Knésl, Zdeněk (referee) ; Hutař, Pavel (advisor)
A new methodology of polymer pipe lifetime estimation taking into account residual stresses is described in this thesis. Engineering equations derived based on numerical simulations of a hydrostatic pressure test are proposed. Residual lifetime calculations were performed for different loading conditions using experimental data of a creep crack propagation in studied material and stress distribution in the pipe wall. The effects which significantly influence lifetime estimation were quantified with special focus on residual stresses.
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