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An aplication of the boundary element method to the problem of the crack in the vicinity of the bi-material interface
Sedláček, Stanislav ; Vrbka, Jan (referee) ; Profant, Tomáš (advisor)
There are many shape and other changes in the engineering constructions. These changes cause the concentration of the stress. There is a higher probability of the crack initiation in the vicinity of these stress concentrators. The problems of the crack can be solved nowadays only with help of sufficient numeric tools. The Boundary Element Method is one of the many numerical tools which offer the solution of some problems of the mechanics. The goal of this diploma thesis is to formulate boundary element method for the plane problem of the linear elasticity for izotropic material with different types of the stress concentrators.
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Problem of the crack terminating at the bimaterial interface
Svoboda, Miroslav ; Ševeček, Oldřich (referee) ; Profant, Tomáš (advisor)
The objective of this diploma thesis is the stress-strain analysis of the crack terminating at the orthotropic bi-material interface suggested as the plane problem of the linear fracture mechanics. The first part is engaged in basic relations of the linear fracture mechanics. The second part is focused on the singularity exponent evaluation for the crack impinging and generally inclined with respect to the bi-material interface. It follows the determination of the generalized stress intensity factors applying the analytical-numerical approach represented by the finite element analysis. The last part of this work is focused on the testing of algorithms applied to the specific crack and bi-material interface configurations. A conclusion discusses the influence of the bi-material mechanical properties and the angel of the crack inclination to the obtained numerical results.
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Computational modelling of mechanical tests of composites "rubber - steel fibre"
Jarý, Milan ; Profant, Tomáš (referee) ; Burša, Jiří (advisor)
This diploma thesis focuses on realization of a computational model of fibre composite with elastomer matrix and on homogenization of properties of this composite. The work deals with computational modelling of strain-stress states which arise in mechanical tests of composites. The composites investigated by mechanical tests comprise of hyperelastic rubber matrix and steel reinforcing fibres. Computational modelling is carried out at two levels of the model. First, with three-dimensional modelling of fibres and matrix as two different materials and, second, using a homogenized model of composite; this constitutive model describes the composite as a homogeneous anisotropic material. It means that properties of fibres are encompassed into strain energy density by the mathematical formulation of the constitutive model. Further, the work deals with computational modelling of mechanical tests of hyperelastic isotropic materials used for identification of their material parameters and for verification of the selected constitutive model of material. For particular hyperelastic material, simulations of tests were carried out, namely of uniaxial tension, biaxial tension, uniaxial compression, biaxial compression, pure shear and uniaxial tension with constrained transversal strain (planar tension). Parameters of the constitutive model were determined of experimental input data. Verification of the constitutive model was carried out by comparison of the data acquired by experiments with the results of simulations of mechanical tests in FE program system Ansys. Then the authentic constitutive model of material was used for description of matrix behaviour in models of mechanical tests of composite material and results were compared with experimental data. Principal objectives which I want to attain are following: • to acquaint with the constitutive models of hyperelastic isotropic and anisotropic materials and identification of their perameters on base of mechanical tests. • to create computational models of testing specimens of composite “ rubber – steel fibre“ for different fibre arrangements and to use the created computational models in simulations of chosen tests. • to test the possibilities of computational modelling of composites with application of homogenized properties and to compare the results of both approaches. Results which were attained: • the computational models were created with the fibres modelled; the strain – stress characteristics are qualitatively corresponding to experiments, and quantitative difference is 20% - 40% (see (4.3)). • the computational models based on homogenization of properties were tested and gave results corresponding to the models with modelled fibres (see (4.4)) with a good accuracy.
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Computational modelling of stress-strain states in tyres
Lavický, Ondřej ; Profant, Tomáš (referee) ; Burša, Jiří (advisor)
Work occupies computational modelling mechanical behavior elastomers and composits with rubber matrix and their utilization for compute model of tire creation. MATADOR tire 165/65 R13 Axisymetric 2D model was created in two geometric variants. For the computational modeling is applying the Finite element method (FEM). The model was in different variants distinctive grade of modeling material. At first was done inner pressure analyst impact on deformation of each of model. Then was count influence on tire load with angular velocity meanwhile with inner pressure. The impact thickness of tire protector layer on global deformation tyre casing was verified too.
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A torsion of the beam with non-circular cross-section
Kalivoda, Ondřej ; Hrstka, Miroslav (referee) ; Profant, Tomáš (advisor)
Bachelor thesis deals with the analytical and numerical methods solving the problems of the torsion of bars with various geometries of cross-sections. The theoretical background of the problem is introduced in the beginning of the thesis. The possibilities of the analytical solution of the partial differential equations in the case of the simplified shapes of the cross-sections are discussed in the following part. These results are compared with the numerical ones received from the finite element analysis via the ANSYS software. The numerical results are extended to the cases of the generalized shapes of the beam cross-sections.
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Stress and deformation analysis of railway bridge over the Odra River
Svoboda, Josef ; Profant, Tomáš (referee) ; Fuis, Vladimír (advisor)
This bachelor thesis deals with strain, stress and deformation analysis of the planar truss bridge construction. The aim is to determined the size of axial forces for statically determinate system and then making construction changes to reduce axial stresses in the individual beams in the structure. This structural modification becomes statically indeterminate structure. To solve this problem we consider different positions of the train at the bridge. The obtained values we can use to assess stress and deformation of the structure and the analytical results will be compared with the results obtained using the finite element method.
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Stress and deformation analysis of railway bridge over the Morava River
Trávníček, Lukáš ; Profant, Tomáš (referee) ; Fuis, Vladimír (advisor)
This Bachelor Thesis contains stress and strain analysis of the first two parts of the railway bridge in Olomouc with an assessment of changes in the stress and strain when changing the static storage. Firstly, the theoretical basis of rod systems is presented, it is followed by the calculation of normal forces and the stress in rods for both parts separately. The calculations include the load arising from its own weight and from the weight of a train, which is represented by the load at the framework joints. Next, these two parts are connected. For this rod system a stress-strain analysis is also used. In conclusion, stress and strain is calculated for comparison by the finite element method in the program ANSYS Classic.
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Elastic Analysis of Crack Stability under Shear Loading Modes
Žák, Stanislav ; Profant, Tomáš (referee) ; Horníková, Jana (advisor)
The main goal of this thesis is to create a numerical simulation of a real experiment for specifying the ultimate state of spread of fatigue crack in pure shear stress modes and to deal with results of simulations for different specimen geometries. The simulations emulate real conditions of the experiment within the frame of linear elastic fracture mechanics. The first part of this work discusses a number of approaches to describe the stability and behaviour of cracks. The second part of this thesis deals with several possibilities of calculating crack characteristics employing ANSYS software. The third and most comprehensive part of the thesis describes the experiment which served as the template for the calculations. In addition, the setup of the simulations and the post-processing of the results for different crack parameters are discussed.
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A study of the stress field near the stress concentrator at the bi-material interface
Krepl, Ondřej ; Klusák, Jan (referee) ; Profant, Tomáš (advisor)
The aim of this work is the solution of problems of the stress distribution near bimaterial notch tip or eventually the crack impinging orthogonaly the bimaterial interface, determination of stress singularity exponent. The first part is concerned with basics of linear elastic fracture mechanics, i.e. Irwin's concept of stress intensity factor. The second part is devoted to description of anisotropic materials by complex potencial theory. The final part is focused on calculation of eigenvalues of both isotropic and anisotropic materials and application of LES formalism on the calculation of stress singularities of the bimaterial ortotropic notch or the crack impinging orthogonaly the bimaterial interface.
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