The Ph.D. study focuses on the following fields of mechanics:
· Mechanics of solids. Theory of modelling mechanical systems, constitutive material relations with emphasis on non-linear behaviour, limit state conditions of materials and structures, mechanics of composites, biomechanics, analysis of stress, deformation and dynamic behaviour of selected groups of bodies (including composite bodies), inverse problems of mechanics of rigid bodies, modelling of stress and deformation in selected technological processes (forming), theory of experiments in interactive driving and mechatronic systems, dynamic of vehicles and of machinery, solution of selected problems in vibroacoustics.
· Mechanics of liquides and gases. Flow theory of compressible and incompressible fluids. Flow of gases and vapours. Nonstacionary flow and impact. Orientation on the flow in hydralic machines and heat engines.
· Thermomechanics. Theory of heat and substance transfer. Application of interferometry and other modern experimental methods. Thermodynamic problems of metallurgy and foundry technologies and heat treatment. Applications in the field of design of thermal power-generating machines. Inverse problems of heat transfer.

prof. Ing. Jiří Burša, Ph.D.

1. Analysis of the fiber composite material structure on the damping properties.

   A very limititg factor on the contemporary design of the powerful mashining centres is the mechanical damping at the active elements. This is a reason for the application of the composite materials exhibitig one order better damping properties compared with the classic metalic materials. The main goal of the work is the analysis of the proper composite materials and the computational as well as experimental verification of the damping characteristics of the composite materials of different shapes and structures. The finite element method (FEM) computational analysis will be used for the computational verification, namely the FEM program system ANSYS, resp. ABAQUS, resp. NASTRAN.

   Tutor: Vrbka Jan, prof. RNDr. Ing., DrSc., dr. h. c.

2. Control of linear hydraulic systems verified by an experimental hydraulic stand

   The goal of the work is experimental and theoretical research of control of linear hydraulic systems, verified by means of the experimental hydraulic stand equipped by hydraulic cylinder, sliding elements and by control equipment. Stand will be used to support of design, mathematical modeling and simulation verifying of linear hydraulic research and industry systems.

   Tutor: Nevrlý Josef, prof. RNDr. Ing., CSc.

3. Dynamics of linear hydraulic systems verified by an experimental hydraulic stand

   Experimental and theoretical research of linear hydraulic systems dynamics verified by means of the experimental hydraulic stand equipped by hydraulic cylinder, sliding elements and by control equipment. Stand will be used to support of design, mathematical modeling and simulation verifying of linear hydraulic research and industry systems.

   Tutor: Nevrlý Josef, prof. RNDr. Ing., CSc.

4. Fixation of femur with bone defect in experimental swine

   Bone defects eventually loss of bone tissue occurs in many clinical cases. In particular, a high-energy injuries or disorders of the bone growth of children. New methods, such as the application of stem cells, must be tested before imple-mentation into clinical practice in laboratory animals such as: piglets. After creating simulated defect and the application of stem cells it’s necessary to fix the limb. Doctoral thesis will deal with the loading of the pig femur for possible types of fixation.

   Tutor: Florian Zdeněk, doc. Ing., CSc.

5. Stress, strain an safety analysis at the connection of the composite and metalic part of the hybrid construction with a goal of structural opimization.

   The development of the modern powerful machininig centres leads to the substitution of selected metalic (steel) machine parts by the components made of fiber composite materials. In the case of driving components (shafts) the hybrid composite-metalic structure with metalic ends is necessary, because of high contact pressures and friction arising by the force transmission f.e. in toothgears. The aim of the work is to perform the comparative stress, strain and strength analysis of the contemporary technology of the sticking connection, the simpler technologies of the bound connection as well as the shape connection, to select the best technology and to do a structure optimization for it.

   Tutor: Vrbka Jan, prof. RNDr. Ing., DrSc., dr. h. c.

6. Study of regular terms of the stress serie on fracture behaviour of general singular stress concentrators

   Fracture behaviour of general singular stress concentrators usually reduces to study of the influence of the singular terms of the stress distribution. However, in the case of a crack in homogeneous material, it was shown relevant influence of the second (non-singular) term of the stress distribution. In the case of general singular stress concentrators (sharp notch in homogeneous material, bi-material notch, crack with its tip at a bi-material interface), the influence of the regular stress terms is not described yet. Study of the influences of this kind can contribute to explanation of some questiones related to a crack initiation in a tip of these stress concentrators.

   Tutor: Kotoul Michal, prof. RNDr., DrSc.

7. The influence of the impact loading velocity on the stress state, stiffness and reliability of the car safety frame.

   Racing cars safety frames have to fulfile the strict stiffness and deformation conditions, verified under high static loading in accordance with international regulations. In the case of real accidents the fast impact loading occures, connected with stress waves propagation and different stress and strain field. The goal of the work is to analyse the resistance and safety of the staticaly verified frame in the cases of real accidents under high impact velocities. The Finite Element Method (FEM) computational modeling making use of the FEM code ANSYS (LS DYNA) or ABAQUS resp. NASTRAN will be utilized for the problem solution, connected with the proper experimental verification. An important part of the work will be also the selection of the adequate strength condition under fast (impact) loading and its eventual modification.

   Tutor: Vrbka Jan, prof. RNDr. Ing., DrSc., dr. h. c.

8. Theoretical and experimental study of crack propagation in microlaminates with generally anisotropic layers

   Microlaminate systems are an attractive class of microstructures for engineered materials due to the natural tendency of some materials to form laminate structures and since multilayer structural toughening is an effective toughening mechanism. Microlaminate structures are utilized to in many electronic and structural applications such as MEMS. The objective of the thesis is to develop a computational model of crack propagation through microlayers. A particular attention will be devoted to the analysis of the transition of crack across the sharp material interfaces. Moreover, high residual stresses developed in individual layers will be taken into account. In case of smooth transitions, Betti's-Rayleigh reciprocal theorem in conjunction with FEM will be employed for the calculation of both, the stress intensity factors and the T-stress. A novel approach will be based upon non-equilibrium auxiliary stress field which implies retaining a domain term in Betti's-Rayleigh reciprocal theorem. Theoretical predictions will be compared with experimental data obtained by Brittle Fracture Group, Institute of Physics of Materials ASCR. It is also expected that the results of molecular dynamics simulations of interface performed at the Lund University will be employed.

   Tutor: Kotoul Michal, prof. RNDr., DrSc.