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Utilization of finite fracture mechanics for correction of fracture toughness measurement on samples with various notch root geometry
Dohnal, Petr ; Majer, Zdeněk (referee) ; Ševeček, Oldřich (advisor)
The work deals with the use of numerical simulations and the theory of finite fracture mechanics for the analysis of conditions for the formation of a crack in a ceramic test sample with a notch (loaded by four-point bending) and possible ways of correcting the fracture toughness determined experimentally on samples with different notch root radius. For this purpose, a parametric calculation model was created to simulate the fracture toughness test by four-point bending. In the first step, the calculation of the critical force at which a crack occurs in a test specimen with a rounded notch and its subsequent unstable propagation through the remaining cross-section of the specimen was debugged. For this purpose, the finite element method (FEM) and the coupled stress-energy criterion were used. In the next step, the procedure of calculation of fracture forces was also applied to a set of experimental samples in order to compare the numerical prediction with experimentally measured values. Two methods of correction of the fracture toughness determined experimentally are also proposed in the thesis. One uses for a correction of the measured values numerical calculation using the coupled stress-energy criterion. In the second case, a correction function was derived using numerical simulation, which no longer needs an FEM calculation for its future use. Correction of the measured fracture toughness using the function proved to be better but not completely effective for the entire range of investigated notch root radii. When comparing with other correction functions found in the literature, it can be stated that the correction procedure proposed in the work provides a better agreement with the real value of the fracture toughness of the given material up to a certain value of the notch root radius.
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Description of fatigue behavior of additively manufactured polymer metamaterial structure
Helešicová, Petra ; Ševeček, Oldřich (referee) ; Trávníček, Lukáš (advisor)
Metamateriály jsou v posledních letech velmi často zkoumanou oblastí, jelikož umožňují přizpůsobení mechanických vlastností vyráběných součástí, které není možné získat s využitím konvenčních materiálů. Aby bylo možné metamateriály bezpečně využívat v provozu, je nutné popsat jejich chování při zatěžování. Prezentovaná diplomová práce je zaměřena na popis únavového chování 3D tištěné polymerní metamateriálové struktury. Práce je rozdělena na teoretickou a praktickou část. V teoretické části je provedena rešerše metamateriálů a jejich rozdělení, poté rešerše metod 3D tisku vhodných pro polymerní materiály a nakonec jsou představeny základy mechanického chování polymerů. V praktické části jsou postupně prováděny kroky pro určení odhadu únavové životnosti uvažované metamateriálové struktury pomocí čtyř kritérií. Pomocí experimentálních testů jsou naměřeny mechanické vlastnosti uvažovaného materiálu, které jsou vloženy do vytvořeného numerického modelu. Okrajové podmínky a zatížení modelu jsou zvoleny tak, aby odpovídaly reálným podmínkám při zatěžování. Numerický model je využitý pro určení kritických lokací ve struktuře a pro predikci únavové životnosti. Ve dvou kritických místech jsou zaznamenávány hodnoty napětí a přetvoření představující jednotlivé fáze cyklického zatěžování. Tyto hodnoty jsou použity pro predikci únavové životnosti.
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Computational modeling and utilization analysis of materials with shape memory for applications in the field of mechatronic actuators
Ševčík, Roman ; Skalka, Petr (referee) ; Ševeček, Oldřich (advisor)
This bachelor’s thesis deals with a computational modeling of shape memory materials and their applications in actuators. The recherche part of the thesis describes the basic principles of function of the shape memory materials, different possibilities of their utilization, their modeling and also principles of designing actuators using these materials. The next chapter deals with a creation of the computational model in SW Ansys, testing of this model and its subsequent use for modeling of the chosen actuator. The next step is the testing of the selected actuator model under different conditions of its computational analysis. The last chapter describes a general method and approach for the modeling of shape memory materials in SW Ansys, recommended settings of the computational analysis and application potential of the chosen actuator.
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Computational tool for a stress-strain analysis of the mechanically loaded circular and annular plate
Dohnal, Jakub ; Majer, Zdeněk (referee) ; Ševeček, Oldřich (advisor)
The bachelor's thesis primarily deals with the creation of a computational tool for stress-strain analysis of rotationally symmetric circular and intercircular plates. The commercial software MATLAB and its component APP DESIGNER were used for this purpose. The program uses analytical relationships of general solid mechanics to solve differential equations for several types of plates and loads. Part of the bachelor thesis is also a parametric study comparing the outputs of analytical and numerical model based on the finite element method, aimed at identifying the practical application of the analytical solution and its accuracy for a particular case of the plate.
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Influence of notches under cyclic high-frequency fatigue loading
Kozáková, Kamila ; Ševeček, Oldřich (referee) ; Klusák, Jan (advisor)
The diploma thesis deals with the evaluation of the lifetimes of smooth and notched specimens. The comparison of their lifetimes is focused on the case of high-frequency cyclic loading in the area of high-cycle and gigacycle fatigue of materials. The theory of critical distances is used to evaluate and recalculate the life curves of the notched specimens. The effect of the notch is quantified using the Line method. The critical length parameter is determined so that the life curve of the notched specimens corresponds to the curve measured on smooth specimens. The result is the dependence of the critical length parameter on the number of cycles to fracture. Knowledge of critical length parameters can be used to determine the lifetime of notched specimens as well as real notched components using the results of fatigue tests of smooth specimens.
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Modelling and analysis of auxetic materials response on the mechanical loading
Vítek, Tomáš ; Skalka, Petr (referee) ; Ševeček, Oldřich (advisor)
This bachelor’s thesis is focused on auxetic materials, especially on their response on the mechanical loading. Historical development, significant mechanical properties, different ways of modelling and possible practical applications of these materials are described in the research part of the thesis. The computational part deals with the detailed analysis of selected auxetic structures in order to evaluate their elastic properties depending on different geometric parameters and also on the magnitude of applied deformation. Computational modelling is primarily performed using the software ANSYS Mechanical APDL based on the finite element method (FEM). This method is briefly explained in one chapter. In the following part of the thesis the process of creating a parametric model and reducing the whole structure to a minimum geometry size (a part of a basic unit) is described. A detailed explanation of generating the mesh and setting appropriate boundary conditions is also included together with the results evaluation. Elastic properties obtained by numerical simulations are then compared to available analytical model. Dependencies of elastic properties are presented for a wide range of values of selected geometric parameters and applied deformations of the structure considering small and large deformation regimes. An influence of these parameters on a structure response during the mechanical loading is discussed based on these dependencies. At the end of the thesis the values of elastic properties computed using a finite element method are confronted to the experimental data available in the literature and the validity of the computational model is considered based on this comparison.
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Proposal of topology of piezoceramic composite sensor
Dostal, Vojtěch ; Ševeček, Oldřich (referee) ; Majer, Zdeněk (advisor)
This master thesis deals with design and numerical modelling of piezoceramic sensor, which is placed on a rail, in order to generate electrical energy, which can be used for wireless monitoring of railway traffic and to monitor the condition of the railway. The thesis is divided into three parts. Theoretically background of piezoelectric energy harvesting is described in first part, where some previous application of piezoelectric generator in railway area are shown. In the second part, parametric analysis of numerical model is performed, which directly leads to finding best location on a rail, where piezoelectric generator should be placed. For this analysis the homogenized model of MFC sensor was used. Results of the numerical model were then compared with the results of the conducted experiment. The third part presented own design of piezoceramic sensor, which is placed onto most suitable location on a rail. Results from numerical analysis shown eligibility of using piezoceramic sensor to monitor the railway traffic.
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Determination of the elastic characteristics of highly-porous materials by means of the impulse excitation technique
Kollmann, Marek ; Lošák, Petr (referee) ; Ševeček, Oldřich (advisor)
The bachelor thesis dealt with the application of pulse excitation technique (IET) to determine the elastic characteristics of highly-porous materials. The first part explained the principle of this method together with the arguments for use outside the conditions given by the standard. In the next part, a model of foam structure with open porosity based on Kelvin cell was created in ANSYS software. The influence of porosity and cell size on its elastic characteristics was determined on the model. It was showed to agree with the theory according to Gibson and Ashby. The result of the work was the evaluation of the possibility of using IET to determine these characteristics, these results were then compared with the experimental values. It turned out that the IET provides the correct information about the stiffness of the model.
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Solution of General Stress Concentrators in Anisotropic Media by Combination of FEM and the Complex Potential Theory
Ševeček, Oldřich ; Kotoul, Michal (advisor)
Disertační práce se věnuje problematice obecných koncentrátorů napětí v anisotropních prostředích. Zejména se jedná o problém trhlin končících na rozhraní dvou různých materiálů, či problém obecného více-materiálového klínu. Cílem práce je vytvořit komplexní nástroj pro posuzování obecných koncetrátorů napětí tj, popis pole napětí v jeho okolí, zahrnutí případného vlivu přemostění trhliny do výsledného pole napětí a definici lomových kritérií pro obecný koncentrátor v anisotropním prostředí. U popisu pole napětí je využit tzv. Lechnického-Strohův formalismus a technika spojitě rozložených dislokací využívající teorii komplexních potenciálů. V práci je rovněž široce uplatněn tzv. dvoustavový "psí"-integrál (pro výpočet různých součinitelů asymptotického rozvoje pro napětí), založený na Bettiho recipročním teorému v kombinaci s metodou konečných prvků. Pro formulaci lomových kritérií je použita teorie tzv. „konečné lomové mechaniky“ a teorie sdružených asymptotických rozvojů. Studován je především vztah mezi ohybem trhliny podél rozhraní a její případnou pentrací do základního materiálu. Veškeré potřebné výpočty jsou prováděny v matematických softwarech MAPLE 10.0, MATLAB 7.1 a konečnoprvkovém systému ANSYS 10.0.
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