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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.
Simulation of concrete fracture using nonlocal model
Květoň, Josef ; Vořechovský, Miroslav (referee) ; Eliáš, Jan (advisor)
The thesis deals with nonlocal model simulations of the three-point-bening test series. The model is applied to set of beams of variable size and notch depth. The intention is to identify such parameters that would provide the response of the nonlocal model similar to experimental data from the comprehensive fracture tests performed at the Northwestern University. Size and shape of the process zone are estimated from the discrete model results and according to that the parameters of weight function and material for the nonlocal model are identified. Results obtained with the model are compared to the experimental data.
Comparison of localization limiters for strain-softening
Květoň, Josef ; Vořechovský, Miroslav (referee) ; Eliáš, Jan (advisor)
It is well known, that simulation of crack propagation using the finite element method is dependent on mesh discretization. The thesis compares two approaches, that are designed to reduce the mesh influence: (I) the crack band model and (II) the nonlocal model. These localization limiters are applied to simulate three-point-bent beam with and without notch. The model of the beam is made with several variants of mesh discretization differing in finite element size and inclination. Performance of both localization limiters is discussed.

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2 Květoň, Jiří
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