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Determination of failure conditions of bi-material notches subjected to mixed mode of loading
Kopp, Dalibor ; Seitl, Stanislav (referee) ; Klusák, Jan (advisor)
In the range of linear elastic fracture mechanics, the conditions for critical loading assessment of structures made of two dissimilar materials are usually based on the assumptions of prevailing normal mode of loading. The same assumption is usually applied to the stability criterion of bi-material notches. However, in engineering practice there are cases of loading and failure closed to the shear mode. The aim of the work is the assumption of the stability criterion of bi-material notches subjected to combination of normal and shear loading. The FEM model of the bi-material notch under combination of normal and shear loading mode is created and solved and evaluated as well.
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On the Problems of LEFM of Composite Materials
Kopp, Dalibor ; Profant, Tomáš (referee) ; Klusák,, Jan (advisor)
The objects of this bachelor thesis is to familiarize oneself with the basics of linear elastic fracture mechanics (LEFM) of homogeneous materials and to specify these problems for composite materials. The work is divided into three parts. The first part is aimed at the basics of LEFM. The second part is concerned with generalization of LEFM. The third part is oriented to the numerical application of the studied problems to notches composed of two orthotropic materials.
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The Influence of Specimen Thickness on Crack Initiation in the Tip of General Singular Stress Concentrator
Kopp, Dalibor ; Řoutil,, Ladislav (referee) ; Malíková, Lucie (referee) ; Klusák, Jan (advisor)
Geometrical discontinuities, like sharp notches, appear in constructions and engineering structures and lead to stress concentrations. These technical objects are very dangerous due to the fact that they reduce the structural conformity and can lead to crack initiation. Technical objects are not always designed as homogenous bodies but can consist of two or more materials with sharp notches on the interface of these materials. The influence of free surface on crack initiation conditions is studied and assessed by means of 3D model of sharp and bi-material notches with finite thickness. Stress fields around the singular stress concentrators are calculated with finite element method and the results are evaluated by means of criterion of critical quantity. This approach is easy applicable and can be used in combination with the knowledge of basic material properties and results of finite element analysis of the assessed notches. In order to estimate weather crack will initiate from the middle of the observed notched specimen or from its free surface, the value of averaged critical applied stress was introduced. With this value it’s possible to determine the location of crack initiation thru the sample thickness. Thru the ratio of values of critical applied stress in the middle and on the free surface of the observed specimen it’s possible to quantify the influence of the free surface on the location of crack initiation. With the use of this approach it’s shown, that the location of crack initiation depends on more parameters, loading direction, the notch opening angle and the sample thickness. In case of bi-material notches it depends also on the ratio of young modulus.
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The Influence of Specimen Thickness on Crack Initiation in the Tip of General Singular Stress Concentrator
Kopp, Dalibor ; Řoutil,, Ladislav (referee) ; Malíková, Lucie (referee) ; Klusák, Jan (advisor)
Geometrical discontinuities, like sharp notches, appear in constructions and engineering structures and lead to stress concentrations. These technical objects are very dangerous due to the fact that they reduce the structural conformity and can lead to crack initiation. Technical objects are not always designed as homogenous bodies but can consist of two or more materials with sharp notches on the interface of these materials. The influence of free surface on crack initiation conditions is studied and assessed by means of 3D model of sharp and bi-material notches with finite thickness. Stress fields around the singular stress concentrators are calculated with finite element method and the results are evaluated by means of criterion of critical quantity. This approach is easy applicable and can be used in combination with the knowledge of basic material properties and results of finite element analysis of the assessed notches. In order to estimate weather crack will initiate from the middle of the observed notched specimen or from its free surface, the value of averaged critical applied stress was introduced. With this value it’s possible to determine the location of crack initiation thru the sample thickness. Thru the ratio of values of critical applied stress in the middle and on the free surface of the observed specimen it’s possible to quantify the influence of the free surface on the location of crack initiation. With the use of this approach it’s shown, that the location of crack initiation depends on more parameters, loading direction, the notch opening angle and the sample thickness. In case of bi-material notches it depends also on the ratio of young modulus.
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Determination of failure conditions of bi-material notches subjected to mixed mode of loading
Kopp, Dalibor ; Seitl, Stanislav (referee) ; Klusák, Jan (advisor)
In the range of linear elastic fracture mechanics, the conditions for critical loading assessment of structures made of two dissimilar materials are usually based on the assumptions of prevailing normal mode of loading. The same assumption is usually applied to the stability criterion of bi-material notches. However, in engineering practice there are cases of loading and failure closed to the shear mode. The aim of the work is the assumption of the stability criterion of bi-material notches subjected to combination of normal and shear loading. The FEM model of the bi-material notch under combination of normal and shear loading mode is created and solved and evaluated as well.
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On the Problems of LEFM of Composite Materials
Kopp, Dalibor ; Profant, Tomáš (referee) ; Klusák,, Jan (advisor)
The objects of this bachelor thesis is to familiarize oneself with the basics of linear elastic fracture mechanics (LEFM) of homogeneous materials and to specify these problems for composite materials. The work is divided into three parts. The first part is aimed at the basics of LEFM. The second part is concerned with generalization of LEFM. The third part is oriented to the numerical application of the studied problems to notches composed of two orthotropic materials.
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A study of bi-material notches under a combined loading mode
Kopp, Dalibor ; Klusák, Jan
In the range of linear elastic fracture mechanics, the conditions for critical loading assessment of structures made of two dissimilar materials are usually based on the assumptions of a prevailing normal mode of loading. The same assumption is usually applied to the stability criterion of bi-material notches. However, in engineering practice there are cases of loading and failure close to the shear mode. The aim of the work is the study of the stress distribution in the vicinity of a bi-material notch subjected to a combination of normal and shear modes of loading. Further, the assessment of crack initiation from the stress concentrator is shown.
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