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Differential equations in models of motion of dislocations
Vydrová, Jana ; Řehák, Pavel (referee) ; Šremr, Jiří (advisor)
This thesis deals with the differential equation which appears in the mathematical model by thermally activated motion of dislocations. It’s focused on screw dislocations in bodycentred cubic metals. Especially solves derivation of the pertinent differential equaiton and then explores properties of their solutions. To research these properties are used knowledges and techniques of qualitative theory of differential equations.
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Influence of Explosive Hardening on the Structure and Characteristic of Hadfield Steel in Terms of use in the Railway Transport
Havlíček, Petr ; Podrábský, Tomáš (referee) ; Nesvadba,, Petr (referee) ; Schmidtová,, Eva (referee) ; Stránský, Karel (advisor)
The high alloyed austenitic manganese steel, the Hadfield steel, thanks to its good wear resistance of the work surface and maintaining the high toughness of the internal material in the same time, is successfully applied for casted crossings. The crossings are the most dynamic stressed components in the railway turnouts. Thanks to low surface and sub-surface hardness the occurrence of plastic deformation and the progressive wear of the crossing running surfaces can be found since the initial stages of the crossing operational life. One possibility how to increase the surface and the sub-surface hardness and this way improve the dimensional stability and the crossing lifetime as well is to apply the explosive hardening of the crossing running surfaces. The technology mentioned above means the application of the explosives in the imminent nearness to the running surface of the crossing, when the high pressure wave acting within the extremely short period actuates the plastic deformation of the material structure. The work deals with analysis of influence of explosive hardening on the structure and characteristic of Hadfield steel. The explosive hardened samples have the surface and the sub-surface hardness checked and the microscopic analysis and X – ray diffraction is applied, including the TEM analysis as well carried out by the transmission electronic microscope. The characteristics experimental testing including outcomes from assessment of the contact – fatigue load of the explosive hardened Hadfield steel samples are the part of the work as well. As an experiment final part the outcomes of the long –term validation, the surface hardness and wear of the crossing running surfaces of the explosive hardened crossing already installed into the Czech Republic railway track are introduced as well.
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Problems of the complex potentials of the isotropic elasticity
Padělek, Petr ; Druckmüller, Miloslav (referee) ; Profant, Tomáš (advisor)
The presented Bachelor Thesis investigates the problem of the complex potentials in the isotropic elasticity. The objective of the work is acquiring the components of the stress tensor and the displacement vector which describe the elasticity of continum. This problem is primarily solved on the mathematical level by means of the Airy stress function and the Muschelishvili´s complex potentials. The thesis is supplemented with the necessary theory of the elasticity and finally the concrete solution of the edge dislocation in the infinite domain is demonstrated and compared with the results acquired by FEM method.
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Damage mechanisms in nickel-based superalloy René 41 subjected to fatigue
Babinský, Tomáš ; Pippan, Reinhard (referee) ; Růžička,, Milan (referee) ; Polák, Jaroslav (advisor)
Předkládaná práce se zabývá vznikem poškození ve tvářené niklové superslitině René 41, která je podrobena únavovému zatěžování za pokojové a zvýšené (800 °C) teploty. Slitina byla zkoumána ve dvou termodynamických stavech: po rozpouštěcím žíhání a po stárnutí. Jednoosé zkoušky nízkocyklové únavy byly prováděny symetricky vzhledem k řízené veličině, kterou byla celková podélná deformace. Za účelem studia mechanismů poškození a jejich souvislosti s plastickou deformací byly aplikovány techniky elektronové mikroskopie doplněné o analýzu cyklické odezvy ve formě hysterezních smyček statistickým přístupem. Navíc byly provedeny přerušované únavové zkoušky za účelem studia vývoje povrchového reliéfu ve vztahu k dislokační substruktuře, k čemuž bylo opět využito elektronové mikroskopie. Porušení za pokojové teploty bylo povětšinou transkrystalické, únavové trhliny iniciovaly především uvnitř zrn z povrchového reliéfu. Srovnáme-li dva zkoušené stavy, stárnutý materiál vykazoval vyšší hodnoty cyklického napětí a při srovnatelném napětí dosahoval vyšších životností. Cyklická deformace byla od prvního cyklu lokalizována do persistentních skluzových pásů. Bylo zjištěno, že většina skluzových pásů vzniká na začátku únavového života, kvůli čemuž jsou koherentní precipitáty ‘ významně deformovány pouze na začátku únavového života. Skluz v persistentních skluzových pásech vedl k vytvoření povrchového reliéfu ve formě skluzových schodů, extruzí a intruzí. Vznik povrchového reliéfu byl podrobně diskutován s existujícími modely. Vysokoteplotní expozice měla za následek oxidaci povrchu, zejména na oslabených hranicích zrn, kde iniciovaly a následně se šířily únavové trhliny. Výsledné poškození bylo tudíž interkrystalické.
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Hydrogen-induced defects in titanium
Knapp, Jan ; Čížek, Jakub (advisor) ; Vlach, Martin (referee)
Titanium is a very important industrial material with quite a versatile use. This thesis examines the influence of hydrogen absorbed in metal lattice of titanium on defects inside the lattice. In this work titanium samples were loaded with hydrogen using two different methods: electrochemical charging, where titanium sample was immersed in solution of H3PO4 and glycerin as a cathode. The anode was be made of platinum and constant electrical current in order of miliampers was run throw the solution. The H+ cations went to the cathode and were neutralized to a hydrogen atom there. The hydrogen atoms subsequently penetrated into the titanium lattice by diffusion. Gas loading was used as the second method of hydrogen doping. Titanium samples were put into hydrogen atmosphere with defined pressure and kept at constant temperature. Hydrogen loaded samples were examined by positron lifetime spectroscopy which represents a non-destructive technique for studying defects in materials. Analysis of phase composition was performed by X- ray diffraction. Developments of mechanical properties of hydrogen loaded samples were monitored by Vickers micro-hardness testing. Differential Scanning calorimetry was employed for investigation of thermal stability of absorbed hydrogen.
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Investigation of basic deformation mechanisms of magnesium alloys by means of advanced in-situ methods and theoretical modeling
Čapek, Jan ; Mathis, Kristián (advisor) ; Landa, Michal (referee) ; Šiška, Filip (referee)
The work is focused on developing testing methods for investigating of the deformation mechanisms of magnesium alloys. The work involves the measurement of in-situ acoustic emission and neutron diffraction and comparison to the theoretical models. Mg + 1wt.% Zr alloy was selected for investigation of the compression - tension asymmetry. Advanced analysis of acoustic emission and neutron diffraction data revealed activation of different slip systems during deformation. Moreover, the different evolution of twinning was explained. The same methods were used to investigate the aluminum influence on deformation mechanisms. The hardening of basal slip and twinning and increasing importance of prismatic slip was observed.
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Case Study of Physiotherapy Treatment of a Patient after Arthroscopic Bankart Repair
Bertron Simpson, Desiree Ginger ; Stupková, Michaela (advisor) ; Damborová, Martina (referee)
Author: Désirée Ginger Bertron-Simpson Title: Case Study of Physiotherapy: Treatment of a patient after Arthroscopic Bankart Repair. Objectives: This thesis is divided in two general parts. The first one consists of overviewing the shoulder anatomy, kinesiology, and biomechanics. The patient's diagnosis is also presented, including the underwent surgery. The second part presents the case study, with respective examinations provided, treatments and results after providing all the therapies. Clinical findings: The patient is a 16 years old female rugby athlete, 5 weeks after undergoing an Arthroscopic Bankart repair, performed on the 18th of December 2019 on her right shoulder. Her range of motion is limited in all directions with slight muscle atrophy around her right deltoid area, movement pattern in abduction is altered, constant hypertonicity on the upper trapezius area, bilaterally. Methods: All examination and treatment are based of the knowledge I have acquired in the Faculty of Sport and Physical Education of Charles University, in Prague. These include postural examination, ARoM and PRoM, muscle length and strength test, PIR, joint mobilization, soft tissue techniques, and physical activity programs adapted the patient's need. The goals of the therapies are to control existing range of...
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Differential equations in models of motion of dislocations
Vydrová, Jana ; Řehák, Pavel (referee) ; Šremr, Jiří (advisor)
This thesis deals with the differential equation which appears in the mathematical model by thermally activated motion of dislocations. It’s focused on screw dislocations in bodycentred cubic metals. Especially solves derivation of the pertinent differential equaiton and then explores properties of their solutions. To research these properties are used knowledges and techniques of qualitative theory of differential equations.
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Investigation of basic deformation mechanisms of magnesium alloys by means of advanced in-situ methods and theoretical modeling
Čapek, Jan ; Mathis, Kristián (advisor) ; Landa, Michal (referee) ; Šiška, Filip (referee)
The work is focused on developing testing methods for investigating of the deformation mechanisms of magnesium alloys. The work involves the measurement of in-situ acoustic emission and neutron diffraction and comparison to the theoretical models. Mg + 1wt.% Zr alloy was selected for investigation of the compression - tension asymmetry. Advanced analysis of acoustic emission and neutron diffraction data revealed activation of different slip systems during deformation. Moreover, the different evolution of twinning was explained. The same methods were used to investigate the aluminum influence on deformation mechanisms. The hardening of basal slip and twinning and increasing importance of prismatic slip was observed.
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Hydrogen-induced defects in titanium
Knapp, Jan ; Čížek, Jakub (advisor) ; Vlach, Martin (referee)
Titanium is a very important industrial material with quite a versatile use. This thesis examines the influence of hydrogen absorbed in metal lattice of titanium on defects inside the lattice. In this work titanium samples were loaded with hydrogen using two different methods: electrochemical charging, where titanium sample was immersed in solution of H3PO4 and glycerin as a cathode. The anode was be made of platinum and constant electrical current in order of miliampers was run throw the solution. The H+ cations went to the cathode and were neutralized to a hydrogen atom there. The hydrogen atoms subsequently penetrated into the titanium lattice by diffusion. Gas loading was used as the second method of hydrogen doping. Titanium samples were put into hydrogen atmosphere with defined pressure and kept at constant temperature. Hydrogen loaded samples were examined by positron lifetime spectroscopy which represents a non-destructive technique for studying defects in materials. Analysis of phase composition was performed by X- ray diffraction. Developments of mechanical properties of hydrogen loaded samples were monitored by Vickers micro-hardness testing. Differential Scanning calorimetry was employed for investigation of thermal stability of absorbed hydrogen.
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