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. Application of FEM modelling for the solution of ear mechanics problems - implementation of earphone

   The function of human hearing organ is generally described as moving mechanical system. Actual computer systems enable to perform the computer simulation of the sound signal transmission from external air medium to fluid medium in the inner ear with the consideration of all fluid-structure interactions, the FEM or BEM are most frequently used for this purpose. The complete FE model of normal human ear has been developed at UMTMB. The principal aims of this work will be the amelioration of this FE ear model and the application of this model for sound transfer characteristics calculations when different types of earphones are inserted. The results will be compared with audiological investigations.

   Tutor: Pellant Karel, doc. RNDr., CSc.

2. Application of FME for the solution of ear mechanics problems-implementation of middle ear ossicle chain prosthesis

   The use of FME is possible for the studies of sound transmission via human ear. When the mechanicle conection between eardrum and inner ear is interrupted, the ossicle chain prosthesis are applied. The analysis of the influence of fixation plosition, mode of fixation and mechanical properties of prosthesis on sound transmission characteristics of reconstructed ear will be discussed. http://www.wadalab.mech.tohoku.ac.jp/FEM_mid-e.html ; http://ctl.augie.edu/perry/ear/hearmech.htm http://emedicine.medscape.com/article/836360-overview

   Tutor: Pellant Karel, doc. RNDr., CSc.

3. Application of FME modelling for noise control of computers

   1.Detailed background research about noise of computers and how it varies with operating conditions 2. Development of 3D FE model of standard computer type 3. Calculation of internal acoustic field and radiated noise 4. Specification of the efficient noise control arrangement in computers- optimal localization of noise sources, optimal localization of coolling vents and optimal structure of internal sound isolation layers http://www.root.cz/serialy/pocitac-bezici-vetrajici-spici/ http://www.pctuning.cz/

   Tutor: Pellant Karel, doc. RNDr., CSc.

4. Application of Methods of Computational Geometry for Robot Motion Planning

   Review of the state of art from the area of robot motion planning in a scene with obstacles which can be static or dynamic, the scene need not be known and size of robot and its motion contraints must be considered (direction changes, rotation etc.). Application of modern methods of computational geometry and their structures (Voronoi diagrams, Delaunay triangulation, visibility graphs) and stochastic heuristic methods with a support of approximate reasoning. Implementation of algorithms for 2D and 3D scene and different types of robots. Analytic expression of time complexity of proposed algorithms and comparison of their efficiency depending on problem specific constraints (e.g. motion only in 8 directions) and size of data structures.

   Tutor: Šeda Miloš, prof. RNDr. Ing., Ph.D.

5. 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.