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Influence of torsional pre-strain on fracture characteristics under tensile loading
Kupka, Oldřich ; Majer, Zdeněk (referee) ; Horníková, Jana (advisor)
The diploma thesis is about the influence of torsional pre-strain on fracture characteristics under tensile loading of steel 11 375. Plastic strain in the cross-section of tested specimen is caused by torsional pre-strain. Plastic strain causes a different response of a material to tensile loading. A smooth tensile test specimen and tensile test specimen with a notch are examined. The research part of thesis describes tensile and torsional tests according to regular standarts. The nonlinearities considered in computational models are also described, followed by a description of material models in the software Ansys, which is used to create the computational model. Mechanisms of failure, the importance of stress triaxiality and the construction of triaxiality space are also introduced to a reader. The first experiment is about a tensile test of steel 11 375. The stress-strain curve obtained by the tensile test will be used as input in computational modelling. The aim of computational modelling is the determination of torsional pre-strain, that causes plastic strain in a tested specimen. The true stress field, true strain field and points of triaxiality space are determined by computational models. During the second experiment, tensile test specimens are torsioned according to outputs of computational models, followed by a tensile load to fracture. The main output of the experiment is fracture engineering strain. Finally, the stress-strain curves of computational models are also compared with experimental measurements.
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Numerical Modelling of Fatigue Crack Closure
Oplt, Tomáš ; Růžička, Milan (referee) ; Horníková, Jana (referee) ; Hutař, Pavel (advisor)
This Ph.D. thesis was written under the supervision of Assoc. prof. Pavel Hutař, Ph.D., and Assoc. prof. Luboš Náhlík, Ph.D. The thesis is focused on the effect of plasticity induced crack closure, its characteristic and ways of numerical modelling. Premature fatigue crack closure has a significant effect on the fatigue crack propagation rate and therefore on the residual lifetime of a structure. A three-dimensional numerical model allows a detailed look at the stress and strain distribution along the crack front, and particularly it allows a local description of parameters along the crack front which governs the fatigue crack propagation rate. In the first part of the thesis, the study is focused on the influence of a singular stress field at the vicinity of the free surface on the crack front curvature without crack closure being involved. In the second part, a numerical model in 2D of plasticity induced crack closure was created and verified by experimental results. In the final part, a 3D numerical model is used to describe the influence of the crack closure on its fatigue propagation rate and explains typical crack front curvature. The suggested technique allows quantitative accuracy improvement of numerical simulation of the fatigue crack propagation and therefore, more reliable estimation of the residual lifetime of the cracked structure.
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Elastoplastic analysis of stress and deformation and determination of fracture parameters of bodies with stress concentrators under tensile loading
Dubravec, Kristián ; Majer, Zdeněk (referee) ; Horníková, Jana (advisor)
The aim of this thesis is the construction of a diagram of fracture strain for high strength steel OCHN3MFA and its application for the estimation of fracture toughness of this material. The first part of the thesis contains the necessary theoretical framework for numerical modelling of tensile tests of various specimens - smooth specimen, specimen with a notch and specimen with a circumferential crack, it describes the influence of triaxiality on the fracture of bodies and the possibilities of construction of the diagram of fracture strain. Subsequently, a numerical model of these specimens is created using the finite element method (FEM). A non-linear, elastoplastic calculation is performed. Fracture is identified by means of comparing the true stress versus the strain obtained from tests with the finite element analysis results. Stress–strain states of specimens at the moment of fracture are obtained from a numerical model. A diagram of fracture strain is constructed, and it is used to estimate the fracture toughness of a cracked body. Finally, a local approach, which uses the diagram of fracture strain, and a classical approach of fracture mechanics, especially the stress intensity factor, are compared.
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Determination of stress resultants in closed frames
Horák, Richard ; Horníková, Jana (referee) ; Vaverka, Jiří (advisor)
The bachelor's thesis deals with the determination of the internal stress resultants (ISR) of planar beams with a closed centerline. The first part of the thesis presents a theoretical basis, which is then applied in the second part to solve three tasks. In the first task, the theory of symmetrical and antimetrical course of ISR is applied to reduce the degree of static indeterminacy of a symmetrical planar beam loaded by a symmetrical and antimetrical force system. In the second task the method of superposition is used to replace the general external load of the beam by symmetrical and antimetrical external loads. The task is further solved in the same way as in the case of the first task. The third task is solved by a general procedure with several options of released structures. Furthermore, the assumption enabling the solution of the stress energy due to the bending moment only is verified. At the end of the third task, the analytically determined values are compared with the values determined by the numerical method using the software ANSYS.
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Description of creep crack propagation in electrofusion sockets for polymer pipes connection
Helešicová, Petra ; Horníková, Jana (referee) ; Trávníček, Lukáš (advisor)
The presented bachelor’s thesis deals with crack propagation by the slow crack growth mechanism in electrofusion sockets used for welding of polymer pipes. The thesis can be divided into several parts. First part presents a research on the topic of polymer pipes, materials used for their production, types of failures and ways of connecting including detailed description of the process of electrofusion welding with electrofusion sockets. Next part is focused on fracture mechanics that is used for the practical part of the thesis. The theory of linear elastic fracture mechanics and its stress-intensity approach are described. Different ways of obtaining the stress intensity factor, which is the main parameter used to describe the stress distribution at the crack tip, are presented. The practical part of the thesis focuses on numerical modelling of crack propagation through an electrofusion socket wall and calculating values of stress intensity factor in dependence on the crack length. The creation of the numerical model for the crack propagation simulation is described. The direction of propagation is evaluated using MTS criterion. The whole simulation is carried out by a parametric macro created using the APDL language. The main goal of the thesis is to describe the influence of the socket geometry or joint configuration changes on the stress intensity factor values and calculated lifetimes. The stress intensity factor functions for the modified configurations are compared to the original. At the end of the thesis, lifetime estimations of the electrofusion sockets are also calculated using the stress intensity factor functions and compared.
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Analysis of composite sandwich panel under conditions simulating placement on a rocket carrier
Král, Martin ; Horníková, Jana (referee) ; Majer, Zdeněk (advisor)
This work deals with composite sandwich panels, which are currently used as supporting structures for satellites. This type of panel contains an aluminum honeycomb core and two thin laminate coatings, reinforced with carbon fibers. Laminate sandwich panel coatings offer an alternative to conventional aluminum coatings, which is advantageous mainly due to the reduction of weight and increase of the flexural stiffness of the panels. The work is a parametric study of mechanical properties for several variants of the coating of sandwich panels. These are laminate coatings, differing in the orientation of the fibers in the individual layers, as well as an aluminum alloy coating. The study is divided into two parts. The first part examines the deformation-stress response of a sandwich panel, which is simply supported at the edges and loaded with pressure. The response calculation is performed using FEM and verified by the method of sum of an infinite series. The second part investigates the deformation-stress response of the joint, (node) of two sandwich panels, which is loaded by random vibrations, aimed at simulating the mechanical environment of the rocket carrier during the takeoff of the launch vehicle. The response is calculated using FEM and verified by an experiment on a vibrating stool for a selected variant of the laminate coating of sandwich panels. The results of the work can be used for the design of baffle of the X-ray imaging device (SXI), which is part of the equipment of the space satellite of the SMILE project.
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Models of plastic zone on the crack front
Surovec, Jindřich ; Žák, Stanislav (referee) ; Horníková, Jana (advisor)
This bachelor thesis is about analytical determination of plastic zone shape at the crack tip using Von Mises and max yield criterions. Next goal is obtain characterictic parameters of kinked crack. Theoretical part clarifies some basic concepts needed to understand the analytical models, then follows the analytical solution itself.
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Assessment of surface roughness and its influence on fatigue life
Dziubek, Jan ; Chamrad, Jakub (referee) ; Horníková, Jana (advisor)
This thesis deals with influence of surface roughness on fatigue life. In the thesis, the evaluation of the surface roughness by the profile method according to the standard ČSN EN ISO 4287 is specified. Within the work, the roughness parameters of samples with different surface treatment were determined. Then, SN-curves were drawn for samples with different surface treatments and compared with each other.
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Relationship of force and deformation characteristics to the energy of deformed system
Kupka, Oldřich ; Konvalinka, Jan (referee) ; Horníková, Jana (advisor)
The bachelor´s thesis deals with the description of energy in deformed systems and their use to determine the force acting on the system and displacements caused by forces. In the first part of the thesis there are described the basic types of stresses and how it is possible to determine their strain energy and displacements. After that, strain and potential energy including their complementary components are described. Next part is explanation of the principle of virtual work, Betti's theorem and Maxwell's reciprocity theorem. In the second part of thesis, the first and the second Castigliano´s theorems are derived. Castigliano´s theorems are applied to a statically determinate and indeterminate problems.
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Deformation and stress fields at the front of shear cracks with complicated geometry
Žák, Stanislav ; Hutař,, Pavel (referee) ; Kunz,, Jiří (referee) ; Horníková, Jana (advisor)
Tato závěrečná práce je shrnutím výzkumu smykově zatěžovaných trhlin, který proběhl v průběhu čtyř let doktorského studia jejich autora Ing. Stanislava Žáka (Středoevropský technologický institut, Vysoké učení technické v Brně). Předložená práce je zaměřena na prohloubení znalostí v oblasti pokročilé lomové mechaniky, konkrétně pro smykové zatěžování trhlin kombinované s případy geometrických odchylek trhlin od běžně používaných modelů. To mimo jiné znamená návrh nových přístupů a modelů a popis součinitelů intenzity napětí pro geometricky komplikované trhliny. První část práce je věnována shrnutí současných přístupů v lomové mechanice a dále i popisu numerických metod, použitých v dalších výpočtech. Kromě klasických přístupů se tato část textu zabývá i novějším výzkumem zaměřeným na smykové zatěžování trhlin, speciálně pro dva typy zkušebních těles – válcový vzorek s obvodovým vrubem a trhlinou zatížený prostým smykem nebo krutem a CTS těleso umožňující zatížení trhliny v módech I, II a také v jejich kombinaci I+II. Další část textu je zaměřena na konkrétní výpočty lomových parametrů při použití nových modelů s komplikovaným čelem trhliny. Teoretické řešení lomových parametrů pro oba výše zmíněné modely je porovnáno s experimentálními výsledky, získanými v navazujících projektech. U modelu válcového vzorku je popsána možnost zjednodušení budoucích modelů těles s podobným typem komplikované trhliny a současně je na něm popsán lokální vliv zubatosti čela trhliny na indukci lokálního zatížení v módu II při globálním zatížení v módu III. Tyto výsledky jsou přímo propojeny s experimentální kvantifikací únavového šíření lomu při zatížení v módu III. CTS těleso je použito k popisu vlivu drsnosti trhliny na součinitele intenzity napětí. Na tomto modelu je pozorován jak globální pokles hodnoty KII při zvyšující se drsnosti trhliny, tak i lokální změny v namáhání trhliny podél jednotlivých nerovností. Výsledky potvrzují, i pro dosud málo zkoumané smykové zatěžování, že mikrostruktura lomových ploch a čela trhliny má vliv na lomové parametry. Rozšiřují tak současné znalosti v oboru lomové mechaniky popisem geometrického stínění čela trhliny pro zátěžné módy II a III.
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