Branch Details
Constructions and Traffic Structures
Original title in Czech: Konstrukce a dopravní stavbyFASTAbbreviation: KDSAcad. year: 2017/2018
Programme: Civil Engineering
Length of Study: 4 years
Accredited from: 25.7.2007Accredited until: 31.12.2020
Profile
PhD study of Constructions and Traffic Structures study branch is focused on a scientific training, methodology of research work and research development in the fields of structural theory, reliability and failure mechanism of structures. There are several study directions - structural mechanics, concrete and masonry structures, steel, timber and composite structures, geotechnics, railway structures, roads structures, experimental work and building testing.
Scientific preparation is based on knowledge of theoretical disciplines of natural sciences base together with theoretical and scientific disciplines of water management orientation. Graduate of PhD study is ready to work in research and development, using creative approach for problems solving of progressive structures including traffic structures. Continuous active scientific and pedagogical activity is a good condition for eventual qualification of graduates as academic employees at Universities.
Supervisor
Issued topics of Doctoral Study Program
2. round (podání přihlášek od 30.10.2017 do 11.12.2017)
- Aggregate-matrix-interface related issues in selected building composites
To assess the influence of the interfacial transition zone (ITZ) between matrix and aggregate to toughening mechanisms of advanced building composites. Fracture processes connected with crack deflection, trapping, pinning and aggregates rupture will be studied. Properties of ITZ in concrete will be measured and used as input data for numerical simulations. To investigate the influence of geometry and aggregate-matrix materials’ mismatch on damage initiation and propagation in the composites.
- Analysis of long-term behavior of concrete structures
The aim of the work is an analysis of long-term behavior of concrete structures (bridges, buildings, tanks, etc.). Specification of methods for monitoring, specification of statical calculations , comparison of measured and calculated values.
Tutor: Zich Miloš, doc. Ing., Ph.D.
- Assessment of the causes of the landslide on D8 motorway
The landslide on D8 at Dobkovičky (56,300 – 56,500 km) which took place on June 7, 2013 destroyed the newly built motorway and caused great material and financial damage. Doctoral dissertation will be focused on complex assessment of the geotechnical, geological and hydrogeological factors that led to the initiation of the landslide. The dissertation will follow up and extends the studies already carried out on this socially relevant topic.
- Building planning focusing on service life
The work develops the issues in the Czech Republic eg published in the journal TKS Beton, 6/2013 with the name of the proposed focus on life: the implementation of the principles and standards of ISO 13823 General principles on the design of structures for durability.
- Crack localization during bending test by the Acoustic Emission Method
The aim of the study will be behaviour monitoring of a type of samples at three or four points bending test. One of the Non-Destructive Testing method, in this case, Acoustic Emission Method is suitable for monitoring the sample cracks during its loading. The Ph.D. student will acquire knowledge about Testing methods.
- Damage and fracture of advanced building materials based structures
Appropriate structural design from advanced building materials is conditioned by the ability of prediction of real response obtained by robust computational tools with implementation of proper failure models based on non-linear fracture mechanics.
- Design of Modern Railway Stations
The topic is focused on designing of railway stations regarding current operating needs, including involvement in integrated transport systems and increased demands for safety, traffic and interoperability of the railway system.
Tutor: Svoboda Richard, Ing., Ph.D.
- Design optimization of concrete structures
Definition of optimisation model of a structure for: 1. design of a member, 2. strengthening of existing member, 3. design and strengthening of a structure. Calculation variant: stochastic, deterministic (according to the application class of the tasks), type of the restraining conditions, classes the target functions.
- Development and application of new methods for experimental static and dynamic analysis of engineering construction.
The theme includes the development and application of new procedures in the issue of experimental analysis of engineering (railway) construction. It is expected focus on advanced mathematical techniques from the field of time and frequency domain in conjunction with the methods of artificial intelligence.
- Development of triaxial compressive strength across the rock massif
With respect to the changing textural and structural characteristics of the rock massifs, it is highly probable that the development of the strength properties will be variable both vertically and horizontally. Suggested doctoral dissertation will be focused on investigation of the spatial variability of the triaxial compressive strength based on the testing of series of cores specimens from the selected massif.
- Diagnosis of reinforced concrete structures using electromagnetic indicators
Localization of reinforcement in concrete structures are the essential tasks of diagnosis. Recently, there were significant innovations in instrumentation. To increase the effectiveness of the method is, however, necessary to perform research with a number of comparison measurements both in laboratory models as well as directly on the structure. The aim of the research is to optimize the methodology for locating reinforcement to refine static calculations of existing concrete structures.
- Diagnosis of reinforced concrete structures using GPR
Localization of reinforcement in concrete structures are the essential tasks of diagnosis. Recently, there were significant innovations in GPR technology. The aim of the research is to optimize the methodology for locating reinforcement to refine static calculations of existing concrete structures.
Tutor: Anton Ondřej, Ing., Ph.D.
- Discrete modeling of physical processes in heterogeneous materials
The dissertation is focused on development of simulation techniques for representation of physical processes in heterogeneous materials. The models are to be focused preferably on materials with irregular inner structure and at the same time, those that are relevant for civil engineering (concrete and similar composites). The processes to be modeled are fracture, transport phenomena and fatigue.
- Dynamics of structures focusing on seismic excitation
Methodology for the assessment of structures, design and assessment of details that resist seismic loading.
- Efficient probabilistic design of concrete structures based on safety formats and response surface methods
The topic is focused on probabilistic and semi-probabilistic approaches for design of concrete structures using nonlinear computational methods based on finite element method. It includes also development and application of response surface methods and sensitivity analysis methods.
- Experimental and numerical analysis of the volume changes in composites based on the silicate binders
The work is focused on the experimental investigation of volume changes (shrinkage / swelling) in cement and cement-free composite materials. The main objective is to identify the external and internal factors and their influence on the resulting shrinkage/swelling values of particular materials. The assessment of the significance of the investigated factors will be performed for materials intended to load-bearing structures. The thesis will also patially deal with the creation of numerical model of the development of the relative leght changes caused by shrinkage/expansion of the composite during ageing.
- Fatigue of concrete and reinforced concrete
Numerical and analytical modeling of fatigue in concerete and reinforced concrete
- FRP reinforcement - desdign, testing, reinforcing of masonry and concrete structures
reinforcing of concrete and masonrystructures, internal FRP reinforcement, selected design Problems, prestressed and non-prestressed variant;
- Influence of aggregate properties on the service life of concrete structures of transport construction
The work develops the issues in the Czech Republic eg published in the journal TKS Beton, 6/2013 with the name of the proposed focus on life: the implementation of the principles and standards of ISO 13823 General principles on the design of structures for durability.
- Inverse analysis and optimization for reliability and lifetime assessment of structures
The topic is focused on solving inverse problems and optimization for the design and reliability and lifetime assessment of structures. For solution stochastic and soft-computing methods will be utilized. Main attention will be focused on the methods and procedures applicable in combination with a non-linear FEM analyses of bridge structures.
- Mechanics of Railway Track
The theme is focused on study of mechanics of railway structures. The theme includes static and dynamic analyses of track with special aim in speed increasing, modern elements of track and interoperability of ralway infrastructure.
- New Application of Innovated Pulse Ultrasonic Method for the Testing of Physical-Mechanical Properties of Ceramic Building Materials
Operation and calibration of a modern two-channel ultrasonic pulse apparatus. Excitation with ultrasonic probes and oscilloscopic evaluation with the possibility of checking the process. Testing the suitability of other excitation possibilities enabling two-channel imaging. Refinement of results in problematic cases of measurement. Possibility of increasing the scope of the method. Extending the application of the method by separating the measurement base from the excitation point.
- Numerical Methods in Uncertainty and Reliability Analyses
Development of simulation and appximation methods for numerical analyses of problems featuring random variables. The bottom line is the development of advanced Monte Carlo strategies.
- Optimalization technique in Geotechnics
Predicting of soil stress - strain behaviour is a complex and demanding task. New and more sophisticated material models are being developed and applied in design practice. The disadvantage of this trend is, in some cases, an increase in the number of input parameters and also requirements for laboratory tests. Calibrations of input parameters values therefore present a time-consuming task. The efficiency of this process can be increased by using optimization techniques. Application of such methods is however still rare in geotechnical engineering. Complex analysis and comparisons of individual methods are not available. Each technique also requires individual settings of parameters governing optimization process which is problem dependent. The need for application research in this area is therefore justified. Theoretical analysis and comparisons of methods will be performed in the first part of the thesis. Chosen methods will be then automatized and connected with finite element models. Efficiency of each technique, its initial settings and sensitivity will be examined in series of numerical back analysis (simulated experiments, laboratory tests, instrumented constructions) and by applying various material models.
Tutor: Miča Lumír, doc. Ing., Ph.D.
- Pedestrian evacuation within transport infrastructure using advanced numerical models
Application of modern simulation tools to analyze the movement of persons and their evacuation in the critical transport infrastructure in order to optimize their design and the soft target's protection.
- Physico-mechanical properties of geocomposites
As geocomposites can be considered any geomaterials that are composed of petrographically, texturally and structurally different parts or zones. Suggested doctoral dissertation will be focused on investigation of the physico-mechanical properties (e.g., scleroscopic hardness, uniaxial and triaxial strength, indirect tensile strengths) of composite geomaterials with a special focus on the basaltic types widely used in the building industry.
- Post-critical State of very Slender Beam Structures
The student will deal in detail with the problem of very thin rod structures in a post-critical state.
- Prestressed concrete tanks
The aim of the work is development and verification of prestressed concrete tanks for fuel that take into consideration the architectural, ecological and safety requirements in a frame of possible economical resources.
Tutor: Zich Miloš, doc. Ing., Ph.D.
- Resistance of loaded structures of construction fibre concretes to the action of environment and chemical substances.
The main goal of the dissertation is to analyze permeability and diffussion characteristics of fibre concretes with selected types and doses of fibres. The testing will be carried out on both loaded and unloaded samples with cracks made by bend loadind. The main output will be the proposal of formulations and estimation of durability of different types of fibre concretes especially loaded to achieve higher durability of reinforced concrete constructions.
- Response of rock mass during driving underground structures
Analysis of driven underground structures behaviour - influence of selected factors. It is supposed to application of mathematical modelling for analysis these factors.
Tutor: Boštík Jiří, Ing., Ph.D.
- Smart monitoring of turnouts
Design of the progressive diagnostic system for assessing the effectiveness of maintenance work and for monitoring of dynamic effects in turnout during its life cycle will be the main output. The theme also includes the creation of a "smart" system for the collection of basic data and a set of appropriate algorithms, which allows information acquisition of the status of turnouts and their components in real time, to transmit and to store them for subsequent use for the needs of manufacturers, public administration, project management, research etc.
- Stochastic Fracture Mechanics
This very general topic covers both analytical and computational mechanics of materials and structures where damage is developed in the sense of fracture mechanics and where such processes are influenced or driven by a random spatial fluctuation of material parameters.
- Strenghtening of heavy destroyed concrete structures
Strenghtening of heavy destroyed concrete civil or industry structures after cracking of the concrete. The analyse of the residual stifnes. Measuring on the real structures.
- strengthening of concrete/masonry structures
modern methods of strengthening, prestressing, additional reinforcement
- Structures of Urban Tracks
The theme is focused on finding appropriate structures urban tracks with regard to improving traffic load and reducing the negative impacts of urban tracks to the track vicinity, reduce the cost of construction and maintenance work and traffic restriction.
- Structures supported by cables
Modern structures are in many cases supported or suspended on cables. In this way they creates economical structural systems. However, they require a non-linear analysis. The subject of the work is a design and analysis of the structure of this type.
- Structures supported by cables
Modern structures are in many cases supported or suspended on cables. In this way they creates economical structural systems. However, they require a non-linear analysis. The subject of the work is a design and analysis of the structure of this type.
- Technology of Constructuion and Maintenance of Railway Structures
The topic is focused on research of technology procedures and corrective maintenance that lead to minimization of the traffic restriction, energy consumption, environmental impact and life cycle costs.
Tutor: Svoboda Richard, Ing., Ph.D.
- The analysis of track behavior in interaction with rail vehicle
Analysis of the static and dynamic behavior of the railway superstructure on the effects of the railway vehicle through modern computational programs.
- The Development of Non-Destructive Testing Methods for the Diagnosis of Timber Structures
In the context of present-day demands, the contemporary building industry has been increasingly returning to classic structural materials, such as timber, both in its tradition form, and in the form of glued sandwich elements. The level and possibilities of the contemporary NDT for the diagnosis of timber structures do not correspond to the pace of the develpoment. The topic should focus on the experimental determination of the optimum combination of the existing methods and the development of new methods of the non-destructive testing of timber structure elements.
Tutor: Heřmánková Věra, Ing., Ph.D.
- The method of acoustic emission for the study of dependence of deformational characteristics of loaded fibre concretes in different environments
The addition of different types of fibres to various formulations of concretes stops the creation of microcracks in hydration time, and later, under loading, improves ductility behaviour of concrete after the creation of bend crack. The innovated method of acoustic emission can be used to study the dependence of crack creation – decrease of loadability – deformation of loaded fibre concretes of different formulations exposed in advance to the action of limiting environmental conditions.
- The research of dynamic behaviour of railway lines
The theme is focused on study of dynamic behaviour of railway lines. The theme includes railway superstructure and railway subbase. Topic involves experiment and simulation techniques. The theme also includes application of a suitable modern mathematical apparatus for the evaluation of the railway lines parameters including of artificial intelligence methods using.
- Theory and real behaviour of members and elements of steel and combined constructions
Problems concerning the reliability, modelling, optimalisation and verification of the behaviour of construction members, elements and structural systems combined from concrete and steel are solved. Emphasis is placed on the assessment of real geometrical, material and construction characteristics.
- Use of non-destructive methods for the identification of defects and failures in reinforced concrete structures
During such an assessment, it is important to objectively determine the structure’s current condition. It is here that non-destructive methods find their use, as they can detect weak points in the load-bearing structure without causing damage to it. The ultrasonic pulse velocity method appears to be most suitable for existing structures since it is completely non-destructive and can determine the properties of concrete deep inside the tested element.
1. round (podání přihlášek od 01.06.2017 do 31.07.2017)
- Aggregate-matrix-interface related issues in selected building composites
To assess the influence of the interfacial transition zone (ITZ) between matrix and aggregate to toughening mechanisms of advanced building composites. Fracture processes connected with crack deflection, trapping, pinning and aggregates rupture will be studied. Properties of ITZ in concrete will be measured and used as input data for numerical simulations. To investigate the influence of geometry and aggregate-matrix materials’ mismatch on damage initiation and propagation in the composites.
- Analysis and prediction of mechanical behavior with short fiber composites and textile reinforced composites
Numerical and experimental research of composites.
- Analysis of long-term behavior of concrete structures
The aim of the work is an analysis of long-term behavior of concrete structures (bridges, buildings, tanks, etc.). Specification of methods for monitoring, specification of statical calculations , comparison of measured and calculated values.
Tutor: Zich Miloš, doc. Ing., Ph.D.
- Assessment and Prediction of the Concrete Cover Layers Durability
Topic deals with the study of problems of concrete cover layers durability and contribute to development of the knowledge in the eld of durability assessment and evaluation. The first output is to generate the relationships between quality classications determined by non-standardized and standardized testing methods. The second output of this project is to develop a recommendation for the uniform classication of the concrete cover layers determined by dierent testing method.
- Building planning focusing on service life
The work develops the issues in the Czech Republic eg published in the journal TKS Beton, 6/2013 with the name of the proposed focus on life: the implementation of the principles and standards of ISO 13823 General principles on the design of structures for durability.
- Concrete membrane structures supported by cables
Structures assembled of precast members supported and prestressed by cables will be studied in respect of their static and dynamic function and technology of the erection. Their optimum shape that influence their function during the service will be searched. The structures will be checked for service load; also their ultimate capacity will be determined.
- Crack localization during bending test by the Acoustic Emission Method
The aim of the study will be behaviour monitoring of a type of samples at three or four points bending test. One of the Non-Destructive Testing method, in this case, Acoustic Emission Method is suitable for monitoring the sample cracks during its loading. The Ph.D. student will acquire knowledge about Testing methods.
- Damage and fracture of advanced building materials based structures
Appropriate structural design from advanced building materials is conditioned by the ability of prediction of real response obtained by robust computational tools with implementation of proper failure models based on non-linear fracture mechanics.
- Design of Modern Railway Stations
The topic is focused on designing of railway stations regarding current operating needs, including involvement in integrated transport systems and increased demands for safety, traffic and interoperability of the railway system.
Tutor: Svoboda Richard, Ing., Ph.D.
- Determination of mechanical properties of soil based on in-situ testing
To determine the mechanical properties of soils, in addition to the laboratory tests used penetration tests in-situ. Correlations are determined for different types of soils by different authors. These relationships are not always transferable to other areas because soils are present bound to the formation, under different environmental conditions. The object is to analyze these relationships and make the correction for soils in the Czech Republic.
Tutor: Miča Lumír, doc. Ing., Ph.D.
- Diagnosis of reinforced concrete structures using electromagnetic indicators
Localization of reinforcement in concrete structures are the essential tasks of diagnosis. Recently, there were significant innovations in instrumentation. To increase the effectiveness of the method is, however, necessary to perform research with a number of comparison measurements both in laboratory models as well as directly on the structure. The aim of the research is to optimize the methodology for locating reinforcement to refine static calculations of existing concrete structures.
- Diagnosis of reinforced concrete structures using GPR
Localization of reinforcement in concrete structures are the essential tasks of diagnosis. Recently, there were significant innovations in GPR technology. The aim of the research is to optimize the methodology for locating reinforcement to refine static calculations of existing concrete structures.
Tutor: Anton Ondřej, Ing., Ph.D.
- Discrete modeling of physical processes in heterogeneous materials
The dissertation is focused on development of simulation techniques for representation of physical processes in heterogeneous materials. The models are to be focused preferably on materials with irregular inner structure and at the same time, those that are relevant for civil engineering (concrete and similar composites). The processes to be modeled are fracture, transport phenomena and fatigue.
- Experimental Analysis of the rheological properties of the structural materials based on the silicate binders
The work is focused on the experimental investigation of volume changes (shrinkage / swelling) in cement and cement-free composite materials. The main objective is to identify the external and internal factors and their influence on the resulting shrinkage/swelling values of particular materials. The assessment of the significance of the investigated factors will be performed for materials intended to load-bearing structures.
- Fatigue assessment of steel bridges using linear fracture mechanics
The broad objective is to contribute to the understanding and quantification of the time-dependent analysis of failure probability of elements of supporting steel structures, in particular of steel bridges. Theoretically based numerical instruments will be developed for the behaviour simulation of elements of these structures which are prone to formation of fatigue failure. The efficient stochastic approaches, enabling to study the influences of parameters under uncertainties on model responses of steel structures in time will be studied.
- Fatigue of concrete and reinforced concrete
Numerical and analytical modeling of fatigue in concerete and reinforced concrete
- Grade curve optimization by simulation methods
Packing problem for aggregate particles of different size is unsovable using analytical methods. Optimization by stochastic simulation should be examined.
- Influence of aggregate properties on the service life of concrete structures of transport construction
The work develops the issues in the Czech Republic eg published in the journal TKS Beton, 6/2013 with the name of the proposed focus on life: the implementation of the principles and standards of ISO 13823 General principles on the design of structures for durability.
- Influence of multiple cyclic loading on the value of static modulus of elasticity of hardened concrete in construction
Thesis deals with influence of multiple cyclic loading on deformational characteristics of hardened concrete. A series of laboratory analyses for description of changes of static modulus of elasticity of hardened concrete under multiple cyclic loading will be made within the thesis. The loading will be performed in the elastic and plastic part of deformation diagram.
- Multilayer system analysis for flexible pavement assessment
Load effect on pavemenent construction is computed according to standard TP170 "with use of a suitable program" based on "the multilayer elastic system model". Existing programs are verified empirically and the results are used in the pavement catalog. New computer program with an open source code is needed for the computational procedure. Furthermore, it is desirable to analyze different possible methods reflecting viscoelastic properties and rheological behavior of the binder used.
- New Application of Innovated Pulse Ultrasonic Method for the Testing of Physical-Mechanical Properties of Ceramic Building Materials
Operation and calibration of a modern two-channel ultrasonic pulse apparatus. Excitation with ultrasonic probes and oscilloscopic evaluation with the possibility of checking the process. Testing the suitability of other excitation possibilities enabling two-channel imaging. Refinement of results in problematic cases of measurement. Possibility of increasing the scope of the method. Extending the application of the method by separating the measurement base from the excitation point.
- Non-conventional intersections
Non-conventional intersections conceal the potential for effective resolution of the poor performance of conventional intersections, yet they are not used in Czech or in Central Europe. The topic is focused on the analysis of their parameters and the subsequent assessment of their usability.
- Numerical Methods in Uncertainty and Reliability Analyses
Development of simulation and appximation methods for numerical analyses of problems featuring random variables. The bottom line is the development of advanced Monte Carlo strategies.
- Optimization of vehicle trajectory
Determination of vehicle trajectory in dependence on geometrical parameters of crossings, roundabouts and retarders. Algortithms for track and envelope curves under boundary conditions.
- Pedestrian simulation in the critical transportation infrastructure
Application of modern simulation tools to analyze the movement of persons and their evacuation in the critical transport infrastructure in order to optimize their design and the soft targets protection.
- Probabilistic analysis of reliability of steel structures
The reliability of bearing steel structures will be studied using stochastic computing models focused on sensitivity, statistical and probability analysis. Stochastic models will be created with the knowledge of numerical simulation methods and FEM nonlinear models, including knowledge of structural mechanics, theory of elasticity and plasticity, and other related disciplines necessary for stochastic modeling and computing.
- Resistance of loaded structures of construction fibre concretes to the action of environment and chemical substances.
The main goal of the dissertation is to analyze permeability and diffussion characteristics of fibre concretes with selected types and doses of fibres. The testing will be carried out on both loaded and unloaded samples with cracks made by bend loadind. The main output will be the proposal of formulations and estimation of durability of different types of fibre concretes especially loaded to achieve higher durability of reinforced concrete constructions.
- Response of rock mass during driving underground structures
Analysis of driven underground structures behaviour - influence of selected factors. It is supposed to application of mathematical modelling for analysis these factors.
Tutor: Boštík Jiří, Ing., Ph.D.
- Stochastic Finite Element Method
Random spatial fluctuation of material and geometrical parameters of structures modeled by random fields in computational models.
- Stochastic Fracture Mechanics
This very general topic covers both analytical and computational mechanics of materials and structures where damage is developed in the sense of fracture mechanics and where such processes are influenced or driven by a random spatial fluctuation of material parameters.
- Technology of Constructuion and Maintenance of Railway Structures
The topic is focused on research of technology procedures and corrective maintenance that lead to minimization of the traffic restriction, energy consumption, environmental impact and life cycle costs.
Tutor: Svoboda Richard, Ing., Ph.D.
- The importance of over-consolidation of fine-grained soils on slope deformations
Shear strength of soil is dependent on the state in which the soil is located and the conditions, which occur during shearing. One of the states is a over-consolidatede. In this type of soil, after the peak shear strength is reached, the softening of strength occurs. The subject of the thesis is to analyze slope deformation behavior of slopes in over-consolidated soils.
Tutor: Miča Lumír, doc. Ing., Ph.D.
- The method of acoustic emission for the study of dependence of deformational characteristics of loaded fibre concretes in different environments
The addition of different types of fibres to various formulations of concretes stops the creation of microcracks in hydration time, and later, under loading, improves ductility behaviour of concrete after the creation of bend crack. The innovated method of acoustic emission can be used to study the dependence of crack creation – decrease of loadability – deformation of loaded fibre concretes of different formulations exposed in advance to the action of limiting environmental conditions.
- The research of dynamic behaviour of railway lines
The theme is focused on study of dynamic behaviour of railway lines. The theme includes railway superstructure and railway subbase. Topic involves experiment and simulation techniques. The tema also includes application of a suitable modern mathematical apparatus for the evaluation of the railway lines parameters including of artificial intelligence methods using.
Course structure diagram with ECTS credits
| Abbreviation | Title | L. | Cr. | Sem. | Com. | Compl. | Gr. | Op. |
|---|---|---|---|---|---|---|---|---|
| DO01 | Doctoral seminar I (KDS) | cs | 4 | summer | Compulsory | Cr | yes | |
| DY02 | Foreign Language Tutoring of PhD Students | cs | 1 | summer | Compulsory | Cr | yes | |
| DI61 | Diagnostic methods in civil engineering | cs | 8 | summer | Optional | Ex | 4061 | yes |
| DF61 | Soil and Structure Interaction | cs | 8 | summer | Optional | Ex | 4061 | yes |
| DM61 | Reliability of Road Structures | cs | 8 | summer | Optional | Ex | 4061 | yes |
| DL61 | Theory of concrete and masonry structures | cs | 8 | summer | Optional | Ex | 4061 | yes |
| DN61 | Permanent Way Theory | cs | 8 | summer | Optional | Ex | 4061 | yes |
| DO61 | Theory of metal and timber structures | cs | 8 | summer | Optional | Ex | 4061 | yes |
| DD62 | Theory of elasticity, plasticity and failure | cs | 8 | summer | Optional | Ex | 4061 | yes |
| DD61 | Structural mechanics | cs | 8 | summer | Optional | Ex | 4076 | yes |
| DM62 | Traffic Structures Theory | cs | 8 | summer | Optional | Ex | 4076 | yes |
| DA58 | Discrete Methods in Civil Engineering I | cs | 4 | summer | Optional | Cr | 4165 | yes |
| DA61 | Numerical methods I | cs | 4 | summer | Optional | Cr | 4165 | yes |
| DA62 | Probability and mathematical statistics | cs | 4 | summer | Optional | Cr | 4165 | yes |
| Abbreviation | Title | L. | Cr. | Sem. | Com. | Compl. | Gr. | Op. |
|---|---|---|---|---|---|---|---|---|
| DO02 | Doctoral seminar II (KDS) | cs | 8 | winter | Compulsory | Cr | yes | |
| DA65 | Time series analysis | cs | 10 | winter | Optional | Ex | 4075 | yes |
| DA67 | Applications of mathematical methods in economics | cs | 10 | winter | Optional | Ex | 4075 | yes |
| DA59 | Discrete Methods in Civil Engineering II | cs | 10 | winter | Optional | Ex | 4075 | yes |
| DA63 | Numerical methods II | cs | 10 | winter | Optional | Ex | 4075 | yes |
| DA66 | Numerical methods for the variational problems | cs | 10 | winter | Optional | Ex | 4075 | yes |
| DA64 | Models of regression | cs | 10 | winter | Optional | Ex | 4075 | yes |
| DL62 | Modelling of structures | cs | 8 | winter | Optional | Ex | 4077 | yes |
| ZF52 | Underground Engineering | cs | 8 | winter | Optional | Ex | 4077 | yes |
| DI62 | Radiation methods in civil engineering | cs | 8 | winter | Optional | Ex | 4077 | yes |
| DD63 | Dynamics of structures | cs | 8 | winter | Optional | Ex | 4077 | yes |
| DN62 | Railway Substructure Theory | cs | 8 | winter | Optional | Ex | 4077 | yes |
| DO62 | Theory of composite steel-concrete structures | cs | 8 | winter | Optional | Ex | 4077 | yes |
| DM63 | Environment and road design | cs | 8 | winter | Optional | Ex | 4077 | yes |
| Abbreviation | Title | L. | Cr. | Sem. | Com. | Compl. | Gr. | Op. |
|---|---|---|---|---|---|---|---|---|
| DY01 | English for the Doctoral Study Programme | cs | 8 | summer | Compulsory | Ex | yes | |
| DO03 | Doctoral seminar III (KDS) | cs | 8 | summer | Compulsory | Cr | yes |
| Abbreviation | Title | L. | Cr. | Sem. | Com. | Compl. | Gr. | Op. |
|---|---|---|---|---|---|---|---|---|
| DO04 | Doctoral seminar IV (KDS) | cs | 8 | winter | Compulsory | Cr | yes |
| Abbreviation | Title | L. | Cr. | Sem. | Com. | Compl. | Gr. | Op. |
|---|---|---|---|---|---|---|---|---|
| DO05 | Doctoral seminar V (KDS) | cs | 14 | summer | Compulsory | Cr | yes |
| Abbreviation | Title | L. | Cr. | Sem. | Com. | Compl. | Gr. | Op. |
|---|---|---|---|---|---|---|---|---|
| DO06 | Doctoral seminar VI (KDS) | cs | 14 | winter | Compulsory | Cr | yes |
| Abbreviation | Title | L. | Cr. | Sem. | Com. | Compl. | Gr. | Op. |
|---|---|---|---|---|---|---|---|---|
| DO07 | Doctoral seminar VII (KDS) | cs | 20 | summer | Compulsory | Cr | yes |
| All the groups of optional courses | ||
|---|---|---|
| Gr. | Min. | Courses |
| 4061 | 0 | DI61, DF61, DM61, DL61, DN61, DO61, DD62 |
| 4075 | 0 | DA65, DA67, DA59, DA63, DA66, DA64 |
| 4076 | 0 | DD61, DM62 |
| 4077 | 0 | DL62, ZF52, DI62, DD63, DN62, DO62, DM63 |
| 4165 | 0 | DA58, DA61, DA62 |