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Application of generalized linear elastic fracture mechanics on estimation of crack propagation origin from sharp V-notch
Štegnerová, Kateřina ; Máša, Bohuslav (referee) ; Náhlík, Luboš (advisor)
The master thesis is focused on estimation of crack propagation origin from sharp V-notch. Stress distribution around the tip of the V-notch is described on the base of generalized linear elastic fracture mechanics. The change of the stress singularity exponent caused by geometry of the V-notch and the vertex singularity is taken into account. The first part of the work is devoted to the estimation of the stress singularity exponent of the V-notch either from stress distribution around the tip of the V-notch or by using analytical solution. Formerly derived stability criteria are applied in the second part of the work. The origin of the crack propagation is estimated for several experimental specimens. The aim of this thesis is to compare the available experimentally observed data with results obtained using those criteria based on the application of generalized linear elastic fracture mechanics developer at the Institute of Physics of Materials Academy of Sciences of the Czech Republic. The finite element code Ansys and mathematical software Matlab were used for the necessary calculations.
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Linear elastic fracture mechanics and its application on study of composed materials
Dohnalík, Petr ; Ševeček, Oldřich (referee) ; Máša, Bohuslav (advisor)
The main objective of this bachelor thesis is the introduction to computational methods of fracture parameters of the crack, which terminates at the bi-material interface. The preface of the work deals with composites, where possible crack can grow in materials with different elastic properties. In this part advantages of composite materials are closely described and usual structure arrangements of the components are presented. The next part of this work is focused on the linear elastic fracture mechanics and available concepts for assessment of the body with presence of the crack in the homogenous material are described. These concepts are based on analytical expressions and, also, on numerical methods. This problem is furthermore extended in the next chapter by case, when the crack terminates perpendicularly to the bi-material interface. Here are given procedures, which can provide information about the further crack behaviour. In practical part all presented procedures have been used in order to evaluate the crack parameters in the homogenous material and for the crack terminating at bi-material interface. Necessary calculations were performed using the finite element method implemented in the commercial system ANSYS. Calculated results were compared and closely discussed in the conclusion.
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Numerical modeling of behavior of a particle composite with crosslinked polymer matrix
Máša, Bohuslav ; Ševčík, Martin (referee) ; Náhlík, Luboš (advisor)
The master's thesis deals with the determination of macroscopic behavior of a particulate composite with cross-linked polymer matrix under tensile load. The main focus of thesis is estimation of mechanical properties of a composite loaded by tensile loading using numerical methods (especially finite elements method). Investigated composite is composed of matrix in a rubbery state filled by alumina-based particles (Al2O3). Hyperelastic properties of the matrix have been modeled by the Mooney-Rivlin material model. Different compositions of particles, their different shape, orientation and different volume fractions have been considered. For all these characteristics of composite numerical models have been developed. The damage mechanisms of the matrix have also been taken into account. Results of numerical analyses have been compared with experimental data and good agreement between numerical models with damage mechanisms of matrix and experimental data has been found.
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Estimation of effective material characteristics of polymer composites
Máša, Bohuslav ; Hutař,, Pavel (referee) ; Náhlík, Luboš (advisor)
The bachelor thesis deals with determination of the effective elastic material characteristics of particle reinforced composite with polymer matrix. The first part of the work is devoted to the estimation of the elastic properties on the base of analytical relations found in the literature. The second part is devoted to the numerical modeling of the particle composite using finite element method. Two different polymer matrixes are taken into account and two different compositions in the particles in the matrix were considered. The calculations were performed for wide range of particle volume fraction. The results from both analytical and numerical estimations were compared and useful analytical relation for estimation of effective elastic material properties of given kind of composite has been found.
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Application of generalized linear elastic fracture mechanics on estimation of crack propagation origin from sharp V-notch
Štegnerová, Kateřina ; Máša, Bohuslav (referee) ; Náhlík, Luboš (advisor)
The master thesis is focused on estimation of crack propagation origin from sharp V-notch. Stress distribution around the tip of the V-notch is described on the base of generalized linear elastic fracture mechanics. The change of the stress singularity exponent caused by geometry of the V-notch and the vertex singularity is taken into account. The first part of the work is devoted to the estimation of the stress singularity exponent of the V-notch either from stress distribution around the tip of the V-notch or by using analytical solution. Formerly derived stability criteria are applied in the second part of the work. The origin of the crack propagation is estimated for several experimental specimens. The aim of this thesis is to compare the available experimentally observed data with results obtained using those criteria based on the application of generalized linear elastic fracture mechanics developer at the Institute of Physics of Materials Academy of Sciences of the Czech Republic. The finite element code Ansys and mathematical software Matlab were used for the necessary calculations.
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|
|
Numerical modeling of behavior of a particle composite with crosslinked polymer matrix
Máša, Bohuslav ; Ševčík, Martin (referee) ; Náhlík, Luboš (advisor)
The master's thesis deals with the determination of macroscopic behavior of a particulate composite with cross-linked polymer matrix under tensile load. The main focus of thesis is estimation of mechanical properties of a composite loaded by tensile loading using numerical methods (especially finite elements method). Investigated composite is composed of matrix in a rubbery state filled by alumina-based particles (Al2O3). Hyperelastic properties of the matrix have been modeled by the Mooney-Rivlin material model. Different compositions of particles, their different shape, orientation and different volume fractions have been considered. For all these characteristics of composite numerical models have been developed. The damage mechanisms of the matrix have also been taken into account. Results of numerical analyses have been compared with experimental data and good agreement between numerical models with damage mechanisms of matrix and experimental data has been found.
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|
Linear elastic fracture mechanics and its application on study of composed materials
Dohnalík, Petr ; Ševeček, Oldřich (referee) ; Máša, Bohuslav (advisor)
The main objective of this bachelor thesis is the introduction to computational methods of fracture parameters of the crack, which terminates at the bi-material interface. The preface of the work deals with composites, where possible crack can grow in materials with different elastic properties. In this part advantages of composite materials are closely described and usual structure arrangements of the components are presented. The next part of this work is focused on the linear elastic fracture mechanics and available concepts for assessment of the body with presence of the crack in the homogenous material are described. These concepts are based on analytical expressions and, also, on numerical methods. This problem is furthermore extended in the next chapter by case, when the crack terminates perpendicularly to the bi-material interface. Here are given procedures, which can provide information about the further crack behaviour. In practical part all presented procedures have been used in order to evaluate the crack parameters in the homogenous material and for the crack terminating at bi-material interface. Necessary calculations were performed using the finite element method implemented in the commercial system ANSYS. Calculated results were compared and closely discussed in the conclusion.
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Estimation of effective material characteristics of polymer composites
Máša, Bohuslav ; Hutař,, Pavel (referee) ; Náhlík, Luboš (advisor)
The bachelor thesis deals with determination of the effective elastic material characteristics of particle reinforced composite with polymer matrix. The first part of the work is devoted to the estimation of the elastic properties on the base of analytical relations found in the literature. The second part is devoted to the numerical modeling of the particle composite using finite element method. Two different polymer matrixes are taken into account and two different compositions in the particles in the matrix were considered. The calculations were performed for wide range of particle volume fraction. The results from both analytical and numerical estimations were compared and useful analytical relation for estimation of effective elastic material properties of given kind of composite has been found.
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On an estimation of the exponent of the stress singularity: three dimensional problems and effect of residual stresses on a crack arrested on the interface
Máša, Bohuslav ; Náhlík, Luboš ; Hutař, Pavel
The main aim of this paper is an investigation of the crack behavior in the ceramics laminates. Especially, the problem of the estimation of the stress singularity exponent in such a material using different approaches is closely described. Since analytical approach is a suitable tool for two dimensional problems, introducing residual stresses, which can be result of used procedures during composite production, may influence value of the stress singularity exponent. Unfortunately, there is formally no analytical tool available to introduce residual stresses. Moreover, when the three dimensional geometry is investigated, effects of complicated stress distribution in front of the crack tip are of crucial importance for crack behavior. Hence using numerically obtained stress distribution appears to be the only way, how to capture the effect of residual stresses and three dimensional geometry of the crack front. The stress singularity exponent can be directly determined from stress components in front of the crack tip and/or from displacements at faces of the crack. Both can provide good results and give us a solution, which cannot be obtained analytically. In following text the procedure will be described in more detail and shown results obtained on ceramic laminate.
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Influence of residual stresses in ceramic laminates on the crack propagation
Máša, Bohuslav ; Zouhar, Michal ; Náhlík, Luboš
Příspěvek je zaměřen na lomové chování vrstevnatých keramických kompozitů – Al2O3/ZrO2. Byly uvažovány rozdílné tloušťky vrstev. Reziduální napětí získané v průběhu slinovacího procesu bylo zjištěno a předepsáno v modelech. Byly předpokládány podmínky k nasazení lineární elastické lomové mechaniky. Složky napětí a přetvoření v blízkosti kořene trhliny byly získány numerickým modelováním metodou konečných prvků implementovanou v komerčním software Ansys. K určení součinitele intenzity napětí byly použity analytické vztahy. Článek může přispět k lepšímu porozumění propagace trhliny mezi jednotlivými vrstvami.
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