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An aplication of the mathematical dislocation theory to the problem of the crack in the vicinity of the bi-material interface
Padělek, Petr ; Hrstka, Miroslav (referee) ; Profant, Tomáš (advisor)
The presented diploma thesis deals with a problem of the determination of the stress intensity factor of the finite length crack in the vicinity of the bi-material interface solved by the distributed dislocation technique. The work is divided into several parts. The first part is theoretical and includes basic concepts of the fracture mechanics, the crack behaviour at the bi-material interface, the formulation of the singular integral equation by virtue of the distributed dislocation technique, the Bueckner's principle, complex potentials and consequently the determination of the stress intensity factor. The second part is the theory application to the specific configuration of the crack of the finite length with respect to the bi-material interface and in the third part, there is carried out the solution of this problem for various configurations of the bi-material solved by the distributed dislocation technique and its comparison with the results obtained from the FE analysis.
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An aplication of the mathematical dislocation theory to the problem of the crack in the vicinity of the bi-material interface
Padělek, Petr ; Hrstka, Miroslav (referee) ; Profant, Tomáš (advisor)
The presented diploma thesis deals with a problem of the determination of the stress intensity factor of the finite length crack in the vicinity of the bi-material interface solved by the distributed dislocation technique. The work is divided into several parts. The first part is theoretical and includes basic concepts of the fracture mechanics, the crack behaviour at the bi-material interface, the formulation of the singular integral equation by virtue of the distributed dislocation technique, the Bueckner's principle, complex potentials and consequently the determination of the stress intensity factor. The second part is the theory application to the specific configuration of the crack of the finite length with respect to the bi-material interface and in the third part, there is carried out the solution of this problem for various configurations of the bi-material solved by the distributed dislocation technique and its comparison with the results obtained from the FE analysis.
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Crack stability condition at the interface between two polymer materials
Zouhar, Michal ; Hutař, Pavel ; Náhlík, Luboš ; Ševčík, Martin ; Knésl, Zdeněk
The aim of this work is to study the behaviour of crack with its tip at the interface of two polymer materials. The numerical model of cracked bi-material tension specimen is investigated and a stability criterion was tested. Usually a stability criterion based on general stress concentrator needs the relation between critical value of the generalized stress intensity factor and critical value of the stress intensity factor (fracture toughness). This relation is a function of elastic mismatch between particular materials, fracture toughness of the main material and critical distance d. Estimation of d is usually not straightforward and different authors use different approaches for its determination. Therefore main aim of this study is mutual comparison of published approaches for d estimation and to quantify their effect on the critical loading value. The results of this study can lead to better lifetime prediction and design of layered structures.
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