Program pro rok 2017

Zpět na hlavní stránku Semináře ÚT

 
6. 12. 2017, 10:00

 

Research on synthetic jets

Doc. Ing. Zdeněk Trávníček, CSc., Institute of Thermomechanics, v.v.i., CAS, Prague
Synthetic jets are fluid flows which are generated from periodically oscillating fluid. In spite of zero time-mean flux at the actuator, a non-zero time-mean jet flow can be generated (synthesized) from a train of individual fluid “puffs”. These flows have many perspective applications such as active control of flowfields and thermal fields (external and internal aerodynamics, cooling, mixing, etc.). The basic advantage is the simplicity – neither fluid source (compressor, blower, pump) nor supply piping is required. Therefore, the synthetic jet has been subject of intensive investigations recently.

The topic has been investigated at the Institute of Thermomechanics since 2001. For example, the following particular tasks have been solved: (1) Impinging synthetic jet and heat transfer enhancement, (2) newly proposed principle: "hybrid synthetic jet", (3) formation criterion of synthetic jets and identification of flow regimes, and (4) geometry optimization.

 
15. 11. 2017

Modelling of yield surface distortion in the finite strain range

Prof. A.V. Shutov, Lavrentyev Institute of Hydrodynamics, Novosibirsk State University
The talk is devoted to the phenomenological modelling of the stress response of metallic materials subjected to non-proportional loading conditions. As a preliminary step, a class of two-dimensional rheological models is introduced, capable of capturing the initial and strain-induced anisotropies of the analyzed material. The rheological models mimic the effect of a combined isotropic-kinematic-distortional hardening; the essential part of the approach is a direction-dependent friction element, which allows us to describe an arbitrary sharpening of the yield surface in the loading direction, accompanied by arbitrary flattening on the opposite side. Two different specific definitions of the direction-dependent friction are provided. The first approach is based on a certain interpolation between the initial yield surface of the von Mises type and a fully saturated yield surface exhibiting maximum distortion. The second approach allows interpolating between a sequence of pre-defined symmetric yield surfaces. Both approaches are practical and flexible. They guarantee that the yield surface remains convex and smooth at any stage of the deformation process, which is important for stable and robust computations. Next, basing on these results, a system of constitutive equations is constructed for a general multiaxial loading. The description of the finite strain kinematics is based on the nested multiplicative split of the deformation gradient. The resulting model is objective, thermodynamically consistent, w-invariant; it is free from shear stress oscillations. Finally, an efficient and robust numerical implementation of the model is discussed.
 
14. 11. 2017

Deformation-Induced Anisotropy in Porous Metals: Constitutive modeling and computational issues

 

Nikolaos Aravas, Department of Mechanical and Industrial Engineering, University of Thessaly, Greece

A constitutive model for a porous metal subjected to general three-dimensional finite deformations is presented. The model takes into account the evolution of porosity and the development of anisotropy due to changes in the shape and the orientation of the voids during deformation. The pores are initially ellipsoidal and distributed randomly in an elastic-plastic matrix (metal). Under finite plastic deformation, the voids are assumed to remain ellipsoids, and to change their volume, shape, and orientation. At every point in the homogenized continuum, a “representative” ellipsoid is considered with principal axes defined by the unit vectors n(1), n(2), n(3) = n(1) x n(2) and corresponding principal lengths a, b and c. The homogenized continuum is locally orthotropic, with the local axes of orthotropy coinciding with the principal axes of the representative ellipsoid. The basic “internal variables” characterizing the state of the microstructure at every point in the homogenized continuum are given by the local equivalent plastic strain , the local void volume fraction or porosity , the two aspect ratios of the local representative ellipsoid (w1=c/a and w2=c/b) and the orientation of the principal axes of the ellipsoid (n(1), n(2), n(3)). A methodology for the numerical integration of the elastoplastic constitutive model is developed. The problem of ductile fracture near the tip of a blunt crack is studied by using the finite element method and comparisons with traditional constitutive models that assume isotropic behavior are made. A “plastic strain-gradient” version of the model will be also presented and issues associated with its numerical implementation will be discussed.
 
10. 11. 2017, 10:00

Cellular structures and materials – fabrication, properties characterisation and applications

Zoran Ren, Srečko Glodež, Matej Vesenjak and Nejc Novak, University of Maribor, Faculty of Mechanical Engineering, Maribor, Slovenia

The presentation will give a short overview of cellular materials in general. Initially, their properties, fabrication procedures and application possibilities will be discussed. Then their geometrical characterization, experimental testing and computational modelling within the finite element method of various cellular metal types will be described. The geometrical characterisation is based on the analysis of micro computed tomography scans and proper recognition of their internal cellular structure, taking into account the statistical distribution of morphological and topological properties. The results of conducted geometrical analysis provided means to develop methodology for proper 2D and 3D geometrical modelling of irregular cellular materials and consequent formation of computational models. The numerical models were validated by quasi-static and dynamic mechanical experimental tests supported by infrared thermography.

In the next part of the presentation, auxetic cellular structures, which exhibit negative Poisson’s ratio, will be discussed. Negative Poisson’s ratio is a consequence of internal structure deformation. This effect is useful for many different applications to enhance properties in density, stiffness, fracture toughness, energy absorption and damping. Several 2D and 3D auxetic structures will be introduced. Experimental results of some selected auxetic structures, tested under quasi-static and dynamic loading conditions, will be presented. Furthermore, representative discrete computational models built with the beam finite elements and homogenised computational models that were validated by experimental data will be shown as well. They were developed to explore the auxetic response at different loading conditions and material distribution (including porosity variation).

 

1. 11. 2017, 10:00

On gravitational waves and 2017 Nobel Prize for Physics

Jiří Chýla, Fyzikální ústav AV ČR

Four weeks ago Nobel Prize for Physics had been awarded to three leading scientists from LIGO-VIRGO Collaboration “for decisive contributions to the LIGO detector and the observation of gravitational waves”. In this seminar I will first recall basic facts about the origin and detection of gravitational waves in general and then discuss in nontechnical terms the construction and amazing sensitivity of LIGO detector as well as the way how the gravitational waves are recorded and presented.

The crucial role of the three Nobel Prize Laureates will be emphasized and all five signals of gravitational waves so far recorded by LIGO will be briefly described.. Particular attention will be paid to the very recent one, announced on October 16, which originated from the collision of two neutron stars and which has also its optical counterpart as Gamma Ray Burst, observed by two space-based telescopes. Finally, future observatories, that would significantly extend the capabilities of LIGO-VIRGO, will be briefly discussed.

 

 
2. 10. 2017, 11:00

Internal Variables associated with Microstructure

Dr. Arkadi Berezovski, Department of Cybernetics, School of Science, Tallinn University of Technology

Prediction of the response of microstructured materials on an external loading can be achieved by means of various methods. In (quasi)statics, homogenization methods are suitable in most situations, but this is not the case for functionally graded materials, e.g. Strain gradient models are quite sufficient if only the influence of a microscale length is taken into account. The most general approach is provided by generalized continuum theories, which include microdeformation into consideration. One more possibility is the introduction of internal variables for the description of microstructure.

In the paper, we compare different descriptions of microstructured solids on the simple example of wave propagation in the one-dimensional setting. In the classical continuum mechanics the existence of a microstructure is neglected. Thus, the classical wave equation needs to be modified to include the observed dispersive effects due to the microstructure. We consider modifications of the wave equation which follow from homogenization, continualization of lattice models, and from generalized continuum theories. The linear version of the Boussinesq equation for elastic crystals, the Love-Rayleigh equation for rods accounting for lateral inertia, the Maxwell-Rayleigh model of anomalous dispersion, etc., are compared with dispersive wave equations obtained by means of single and dual internal variables.
 

 

 
2. 10. 2017, 10:00

2D Discrete Spectral Analysis – A Tool for Examining of Complicated Wave Structures

Prof. Andrus Salupere, Department of Cybernetics, School of Science, Tallinn University of Technology

in collaboration with Mart Ratas

In case of 1D wave propagation the discrete spectral analysis is very helpful method in order to analyze the space-time behavior of different wave structures. Here we generalize the method to 2D case. The Kadomtsev–Petviashvili equation is applied as a model equation. For numerical integration the pseudo-spectral method is applied. We demonstrate how 2D spectral characteristics can be applied for analysis of complicated wave structures that can be formed from different initial pulses in case of the Kadomtsev–Petviashvili equation. Recurrence phenomenon, temporal periodicity and temporal symmetry of the solution will be discussed.

 

 
17. 8. 2017, 11:00

Recent advances in reciprocal mass matrices

Dr. Anton Tkachuk, Institute for Structural Mechanics, University of Stuttgart, Stuttgart, Germany

in collaboration with Anne Schäuble, Prof. Manfred Bischoff

Standard explicit dynamic simulation relies on diagonal or lumped mass matrices. Lumped mass enables a trivial computation of the nodal accelerations from the total force vector. Moreover, critical time step estimators and contact-impact algorithms for such mass types are well understood and developed. A disadvantage of the exlicit time integration with the lumped mass is huge number of the time steps even for short time dynamics. Recently, several approaches for reciprocal mass matrix that allows higher time steps and reduction of the total computational cost were proposed. A reciprocal mass is a sparse inverse of mass matrix that usually has a mask/structure of consistent mass or stiffness matrix. It can be constructed directly and cheaply either with variational or with algebraic methods. Achievable speed-up with respect to lumped mass is from 20% to 50%.

In this talk, an overview of existing approaches of construction reciprocal mass matrices is given and recent advances in reciprocal mass matrices for impact algorithms, time step estimation and assessment of the error in heterogeneous materials are presented. 

 

 
17. 8. 2017, 10:00

Multi-Scale Structural Gradients Optimize the Bio-Mechanical Functionality of the Spider Fang

Dr. Benny Bar-On, Laboratory for the Mechanics of Complex Materials, Department of Mechanical Engineering, Ben-Gurion University of the Negev

The spider fang is a natural injection needle, built as a multi-scale composite material with outstanding mechanical properties. In this study we introduce a hierarchical modeling for the spider fang, based on computer tomography and SAXS measurement, and analyze the correlation between the fang architectural motifs and its macroscopic elastic behavior. Analytical methods and Finite-Element simulations are used for the mechanical analysis and the effects of small- and large-scale structural gradients on the macroscopic mechanical properties are investigated.

It is found that the multi-scale structural gradients of the spider fang optimize its performances in term of load-bearing stiffness and strength, and that the naturally evolved fang architecture provides optimal mechanical properties compared to other alternative structural configurations.

 

 
26. 6. 2017, 10:00

Modelling extreme deformation and dynamic behaviour of materials using mesh-less methods

Dr. Raj Das, Sir Lawrence Wackett Aerospace Research Centre, School of Engineering, RMIT University, Australia

The seminar will present overview of computational mechanics research at the Centre for Multifunctional and Composite Materials of RMIT University, Australia. Our research covers both fundamental and applied aspects of material behaviour and failure processes. This presentation will encompass computational modelling of material deformation, damage and fracture using multi-scale techniques in conjunction with mesh-less methods, novel composite materials development and damage tolerance structural optimisation.
Multi-scale modelling of damage and fracture progression linking nano to macro scales and associated development of coupled computational modelling tools will be highlighted. The strengths of mesh-less methods will be illustrated with reference to both low to high-speed impact induced fractures and small to large scale problems. These include several dynamic fracture and fragmentation processes, such as hypervelocity impact fracture, nano-scale machining, large scale geo-mechanical failures (magma intrusion, caving, slope stability, etc).
One of our core areas to be presented is novel impact and blast resistant, light weight composite material developments for aerospace components subjected to high-speed loading and extreme deformations, as occurs in the cases of debris impact on spacecrafts, bird strike on aircraft engines, blast induced failures, etc. Lastly novel shape and topology optimisation methodologies for damage tolerance optimisation, i.e. maximising the residual strength and fatigue life, of aero-structures will be highlighted. Case studies from projects with Royal Australian Air Force and Defence Science and Technology Organisation will be presented to demonstrate the practical implementation and utilities of the developed design and analysis methodologies.
 

 

19. 6. 2017, 10:00

Additive Manufacturing of metals: Past, today and tomorrow

Dr. Edson Costa Santos, SENAI Innovation institute in Laser Processing, Joinville, Santa Catarina, Brazil

 The lecture will be addressed the following topics in Additive Manufacturing (AM) of metals:

· Draw some observations from various attitudes to AM world-wide.
· Review shortly various additive manufacturing technologies, their virtues and drawbacks.
· Address cases, in which additive can/cannot replace conventional manufacturing - problems with distortions, variability in micro-structure and consequences, etc.
· Comparison of additive and conventional micro-structures and their impact on macro-mechanical properties: strength, fragility, fatigue, impact resistance, etc.
· Use of additive manufacturing for meta-materials (auxetic and other) for the purposes of "energy absorption or distribution" and "mechanical strength with low weight".
· Additive manufacturing process certification and/or serial production of components - competitiveness in terms of both function and price.
· Design of components for Additive Manufacturing - material only there "where needed" and the related development of software (e.g. topology optimization).
· Future of AM - visions and expectations.
· Describe and introduce FIESC - SENAI focus in AM.

Dr. Edson Costa Santos spent more than a decade in various laboratories related to Additive Manufacturing in Europe, South America and Japan. In the presentation, it will be drawn from his experience, and present a view of current AM layout – technologies, directions and main leaders.
 

 

15. 6. 2017, 10:00

Quasibrittle Failure Probability and Scaling

Prof. Zdeněk P. Bažant, Northwestern University, Evanston, Illinois, USA

 

The size effect on structural strength and its probability distribution function (pdf) is a complex problem for quasibrittle materials because their failure behavior transits from quasi-plastic at small sizes to brittle at large sizes. These are heterogeneous materials with brittle constituents in which the size of inhomogeneity, or representative volume element (RVE), is not negligible compared to the structure size. Aside from concrete, the archetypical example, they include fiber composites, coarse-grained ceramics, rocks, sea ice, snow slabs, wood, bone, foam, stiff soil, dry snow,ccarton, etc., and on the micro- or nano-scale, all brittle materials become quasibritle. Since the break probability is known exactly only for interatomic bonds (being equal to frequency), Kramer’s rule of transition rate theory is applied to nano-crack jumps. Based on proving the rules of multiscale transition of tail probabilities of break to material scale, the probability distribution function (pdf) of strength of one macro-scale representative volume element (RVE) is shown to have a Weibullian tail, calibrated to reach to probability circa 0.001, the rest being Gaussian. On the structure scale, only Type 1 failure is considered, i.e., the structure fails as soon as the first RVE fails. Hence the weakest-link model applies on the structure scale. But, crucially, the number of links is finite, because of non-negligible RVE. For increasing structure size, the Weibullian portion gradually spreads into the Gaussian core. Only in the infinite size limit the distribution becomes purely Weibull, but, importantly, with a zero threshold. Based on an atomistic derivation of the power law for subcritical macro-crack growth, a similar Gauss-Weibull transition is shown to apply to structure lifetime. The theory is then extended to the size dependence of Paris law and Basquin law for fatigue fracture, to statistics of fatigue lifetime, and to residual strength after a period of preload. The theory is shown to match the existing experimental results on the monotonic strength, residual strength after preload, static and fatigue crack growth rates, and static and fatigue lifetimes, including their distributions and size effects on the distributions. There are three essential consequences: 1) The safety factors must depend on structure size and shape; 2) To predict the pdf of strength, the size effect tests of mean strength suffice; 3) To predict the static and fatigue lifetimes, it suffices to add tests of initial subcritical crack growth rate. An interesting mathematical analogy predicting the lifetime of nano-scale high-k dielectrics is also pointed out. Finally, a new “fishnet” statistics for strength of biomimetic nacre-like lamellar structures, modelled as a square fishnet pulled diagonally, is presented. This simple model differs from the weakest-link model as well as the fiber bundle model. The pdf is found again to transit from Gaussian to Weibullian, but in a different way.

 

30. 5. 2017, 15:00

ISG-Israel Smart Grid consortium and Large-Scale Power System Dynamics

Prof. Yuval Beck, Head of Power Engineering, Faculty of Engineering, Holon Institute of Technology, Israel
Prof. Yoash Levron, Professor of Electrical Engineering, Faculty of Electrical Engineering, Technion – Israel Institute of Technology

A Smart Grid demonstrator was implemented within the framework of the "Israel Smart Grid
– ISG" Magnet project. The goal of the project was to implement and develop technologies for
optimizing and controlling Smart Grids. The main achievement of the project is its operation
system which is hierarchical in nature. Namely, the control and commands are not centralized
but rather distributed from top levels downwards. Every such control level can also be selfcontained.
The project consists of a demonstration of rout of electric power that is delivered to
a modern "Procumer" (Producer and Consumer), precisely upon its request, with minimum
power failures, energy optimization and minimal electricity costs. The demonstrator is
constructed in various sites and controlled by a virtual network. The virtual network consists
of controllable loads and some generators. Some of the actual controllable loads are motors,
air conditioning chiller, air treatment units and others. The loads are controlled by an
Intelligent Home Gateway Unit (IHGU) which operates in accordance to the contract between
the grid and the prosumer or consumer. The system also controls, via web services, two
remote sites of the Israel Electric Company – IEC, consisting of a virtual neighborhood.

Large-scale dynamics models of power systems are mostly based on time-varying phasors.
However, with increasing integration of distributed and renewable sources into existing power
grids, the assumption of time-varying phasors (or quasi-static models) becomes less accurate,
and may even lead to misleading conclusions regarding the system dynamics and stability.
During the lecture I will briefly review and compare several types of dynamic models,
describe several paradoxes that result from misuse of these models, and describe our group's
approach to this problem.

 

3. 5. 2017, 10:00

Nestandardní tlumené oscilátory

Doc. RNDr. Dalibor Pražák, Ph.D, Katedra matematické analýzy, Matematicko-fyzikální fakulta, Univerzita Karlovy v Praze

 

Tlumené oscilátory typu x'' + a(x)x' + b(x) = f(t) patří k elementárním problémům v mechanice. Pro přiměřeně hladké funkce a(.), b(.), např. C1 nebo Lipschitzovské, existuje rozsáhlá a klasická matematická teorie. Tzv. nestandardní analýza (NSA) je velmi silný a abstraktní logický rámec, který umožňuje vložit libovolnou matematickou teorii do rozšířeného univerza, které typicky obsahuje nestandardní („ideální”) prvky. Nejjednodušším a nejznámějším příkladem jsou nekonečně malá a velká čísla - čísla, s nimiž se moderní analýza před cca 150 lety možná k oboustranné škodě rozešla.

Pokusíme se ukázat, že určité nestandardní volby funkcí a(.), b(.) přirozeně vedou k popisu „nestandardních” mechanických jevů: Coulombovo tření, neroztažitelná struna, či, obecněji, náraz tělesa na pevnou stěnu. Díky jazyku NSA zároveň zůstaneme v rámci klasické teorie diferenciálních rovnic.

 

5. 4. 2017, 10:00

Implozivní magnetokumulativní generátor pro účinnou přeměnu energie

Ing. Jiří Šonský, Ph.D., Ústav termomechaniky AV ČR, v. v. i.

 

Historie magnetohydrodynamických generátorů sahá až do roku 1832, kdy Michael Faraday začal s prvními experimenty. Magnetokumulativní generátory byly vyvinuty Andrejem Sacharovem již na začátku padesátých let minulého století, ale stále nejsou využívány v civilní energetice a zůstávají na experimentální, navíc často vojenské úrovni vývoje. Proto jsme vyvinuli nový zdroj termického plazmatu pro magnetohydrodynamické nebo magnetokumulativní generátory vhodné pro obecné použití v energetice. Plazma je vytvořeno z hořlavé směsi implozí – tedy sférickou kompresí konvergentní detonační vlnou. Konvergentní detonační vlna je spuštěna přechodem deflagrace do detonace po zapálení elektrickou jiskrou v detonační trubici. Konvergentní polyedrální tvar detonační vlny je vytvarován velkým počtem větvících se zátravek ústících do hemisférické spalovací komory. Vzniklé plazma vytryskne vysokou rychlostí tryskou ve středu zařízení a je sledováno vysokorychlostní kamerou. Postup detonační vlny je také sledován ionizačními sondami. Konstrukce implozivních zdrojů plazmatu a možnosti extrakce elektrické energie z kinetické energie plazmatu působením na počáteční magnetické pole bude v této přednášce také probrána

 

1. 3. 2017, 10:00

Mezní vrstva atmosféry: vlastnosti a metody výzkumu v kontextu mechaniky kontinua

prof. RNDr. Zbyněk Jaňour, DrSc., Ústav termomechaniky AV ČR, v.v.i.

 

Převážná část tekutin na zemském povrchu se nachází v atmosféře a oceánech. Těmito tekutinami se zabývá tzv. geofyzikální mechanika tekutin. Při jejím pohybu, v jisté analogii s klasickou teorií mechaniky tekutin, je její oblast přiléhající zemskému povrchu označována jako Mezní vrstva atmosféry. Její vlastnosti, metody výzkumu, s přihlédnutím jejich nedostatků, budou naznačeny v následujících bodech.

  1. Úvod: zavedení pojmu a důvody jejího sledování;
  2. Základní vlastnosti. (Pohybové rovnice v rámci aproximace mechaniky kontinua, Proudění v rotující soustavě souřadné, Teplotní zvrstvení, Turbulence a determinismus)
  3. Metody výzkumu (Experimentální, Numerické)
  4. Případy řešené v Laboratoři aerodynamiky prostředí;
  5. Nové problémy k řešení: Verifikace a validace matematických modelů, Problém mnoha měřítek;
  6. Závěr: možnosti aplikace získaných poznatků.

 

 
14. 2. 2017, 10:00

Modelling of complex processes in nanopowder fabrication using thermal plasma flows

prof. Masaya SHIGETA, Joining and Welding Research Institute, Osaka University, Japan

Thermal plasmas have been expected as a promising tool for mass-production of nanopowders [1] because thermal plasmas offer a distinctive thermal-fluid field involving high temperature, high chemical reactivity and variable properties. Furthermore, thermal plasmas have steep temperature gradients at their fringes where many small nanoparticles are produced rapidly from the material vapour as a result of the highly supersaturated state. However, it is still difficult to investigate the formation mechanism of nanoparticles generated in/around a thermal plasma because the process involves remarkably intricate mass transfer of phase conversions in micro-second scales. Moreover, the plasma fringe is fluid-dynamically unstable and consequently it forms a turbulent mixing field composed of multiscale eddies [2]. The growing nanoparticles are transported by the complicated convection as well as diffusion and thermophoresis. In this lecture, several modelling works to simulate those complex processes are explained.
 

 




 
1. 2. 2017, 10:00

Vrcholné kousky plazmového stříkání v životě jednoho výzkumníka

Ing. Tomáš Chráska, Ph.D., Ústav fyziky plazmatu AV ČR, v.v.i.

Žárové stříkání je proces vzniku vrstev a povlaků, při kterém se roztavený nebo ohřátý materiály nastříká na povrch. K dispozici je široká škála primárních surovin, které mohou být žárově stříkané včetně prášků a suspenzních kapalin. K dispozici je také široká škála žárových nástřiků používaných pro mnoho různých aplikací, včetně například tepelných bariér v proudových motorech. Plazmové stříkání patří do skupiny technik žárového stříkání. Využívá plazmový hořák pro vytvoření proudu plazmatu, který taví materiál vstupní suroviny. Tato přednáška nebude předkládat kompletní přehled plazmově stříkaných povlaků a jejich aplikací. Místo toho představí řadu zajímavých a někdy i fascinujících příkladů toho, čeho lze dosáhnout pomocí plazmového stříkání. Příklady budou obsahovat nanoprášky, epitaxní růst krystalů v plazmových nástřicích, amorfní a nanokompozitní povlaky, stříkání suspenzí a další.
 

 

4. 1. 2017, 10:00

Využití procedury časové reverzace signálů v nedestruktivní diagnostice materiálů a konstrukcí

Ing. Zdeněk Převorovský, CSc., Ústav termomechaniky AV ČR, v.v.i.

Procedura časové reverzace akustických a ultrazvukových signálů ("Time Reversal Acoustics", TRA) je efektivním nástrojem řešení složitých problémů v mnoha oblastech jako jsou nedestruktivní zkoušení a hodnocení materiálů a konstrukcí (NDT/NDE), neboť TRA umožňuje fokusaci vln v čase i prostoru a přesnou lokalizaci a rekonstrukci zdrojů signálu i v silně nehomogenních, anizotropních a dispersních prostředích. Vlastnosti TRA lze využít při zpracování signálů v akustické emisi (AE) a nelineární spektroskopii elastických vln (NEWS), ale také např. v seismologii, medicíně, telekomunikacích apod.
V přednášce budou zmíněny principy metody TRA a diskutovány zejména její možnosti při lokalizaci a identifikaci zdrojů AE a nastíněny problémy nového přístupu k řešení těchto inverzních úloh pomocí přenosu ultrazvukových signálů z nepřístupného reálného tělesa na laboratorní resp. výpočetní model, kde mohou být snáze analyzovány.

 

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