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Solution of General Stress Concentrators in Anisotropic Media by Combination of FEM and the Complex Potential Theory
Ševeček, Oldřich ; Knésl, Zdeněk (oponent) ; Náhlík, Luboš (oponent) ; Kotoul, Michal (vedoucí práce)
The thesis focuses to the solution of the problems of general stress concentrators in anisotropic media. Particularly, it is a problem of cracks terminating on the interface of two dissimilar materials or problems of general multi-material wedge. The main aim of the work is to work up a complex toolbox for the assessment of general stress concentrators, i.e. a tool for the description of the stress field in its vicinity, the inclusion of the crack bridging effect into the resulting stress field, and the definition of the fracture criteria for the crack impinging at the interface in dissimilar anisotropic media. For the description of the stress field the so-called Lechnitskii-Stroh formalism and continuously distributed dislocation technique, exploiting the complex potential theory is used. The work also widely employs the two-state "psi"-integral (for the calculation of various factors of the asymptotic stress expansions) based on the Betti´s reciprocal theorem in combination with FEM. For the fracture criterion definition the theory of Finite Fracture Mechanics and matched asymptotic expansions is used. Especially the competition between the crack deflection along the interface and the crack penetration into the base material is studied. All the needed calculations are performed in the mathematical softwares MAPLE 10.0, MATLAB 7.1 and in the finite element system ANSYS 10.0.
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Predikce creepového poškození polymerních trubek
Luky, Robin ; Knésl, Zdeněk (oponent) ; Hutař, Pavel (vedoucí práce)
V práci je uvedena metodika pro odhad životnosti polymerního potrubí, zatíženého vnitřním přetlakem s uvážením reziduálních napětí z výroby. Na základě numerických simulací zkoušky hydrostatickým tlakem jsou v této práci odvozeny inženýrské vztahy pro výpočet faktoru intenzity napětí. Na základě experimentálních dat popisujících odolnost zkoumaného materiálu proti šíření creepové trhliny a distribuci reziduálních napětí ve stěně trubky jsou provedeny odhady zbytkové životnosti potrubí a kvantifikovány vlivy, které tuto životnost ovlivňují. Velká pozornost je v práci věnována zejména vlivu reziduálních napětí na šíření creepové trhliny.
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Crack lenghts calculation from COD measurement for cement based composites
Seitl, Stanislav ; Hanzlovský, Radovan ; Knésl, Zdeněk
The fatigue of cement based composites is now one of the progressive branches in research. To describe fatigue crack growth quantitatively it is necessary to know the values of materials parameters for Paris’ law. In cement based composites it is difficult to measure crack lengths directly. Therefore the crack open displacement (COD) is measured and then recalculated to crack length. The purpose of the present article is to find the relation between COD and the corresponding crack length for three point bend specimen.
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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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Numerical investigation of residual lifetime of the wheel during EN 13262 test
Matušek, P. ; Hutař, Pavel ; Náhlík, Luboš ; Knésl, Zdeněk ; Kunz, Ludvík
In this paper, the experimental set up corresponding to the test unit used for the full-scale fatigue test has been modelled. The numerical method for reliable estimation of residual fatigue lifetime of wheel web tested according to EN 13 262 Standard has been developed. Numerical calculations are based on finite element method utilizing the system ANSYS. The experimentally observed cracks in the wheel web have been taken as the initial crack configuration. Numerical calculations simulating the initial crack growth in the wheel web loaded by experimental set up have been performed. Under assumptions of linear elastic fracture mechanics the residual fatigue life of the cracked wheel has been predicted.
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