L’évolution actuelle de l’ingénierie géotechnique place la maîtrise des risques d’origine géotechnique au cœur de ses objectifs. On constate aussi que la complexité des projets d’aménagement (à travers les objectifs coûts/délais/performances qui sont recherchés) est croissante et que les terrains choisis pour les recevoir présentent, quant à eux, des conditions géotechniques de plus en plus souvent « difficiles ». Ces conditions défavorables se traduisent par une variabilité forte des propriétés des sols, rendant leur reconnaissance et leur analyse plus complexe. Ce travail de thèse traite de la caractérisation de la variabilité naturelle des sols et des incertitudes liées aux reconnaissances géotechniques dans le but de mieux les prendre en compte dans les dimensionnements des ouvrages. Il se positionne dans le contexte de la maîtrise des risques de projet d’origine géotechnique. Les principaux outils statistiques servant à décrire la dispersion des données et leur structuration spatiale (géostatistique), ainsi que des méthodes probabilistes permettant d’utiliser leur résultats dans des calculs, sont présentés sous l’angle de leur application en géotechnique. La démarche est appliquée à un projet de plate-forme ferroviaire. Cette infrastructure a été implantée sur un site géologiquement et géotechniquement complexe, et présente aujourd’hui des déformations importantes dues aux tassements des sols. Une nouvelle analyse des données géotechniques a donc été entreprise. Elles ont, au préalable, été regroupées dans une base de données qui a facilité leur traitement statistique et géostatistique. Leur variabilité statistique et spatiale a été caractérisée permettant une meilleure compréhension du site. Le modèle géologique et géotechnique ainsi établi a ensuite été utilisé pour calculer les tassements. Une démarche en trois temps est proposée : globale, locale et spatialisée permettant une estimation des tassements et de leur incertitude, respectivement, à l’échelle du site, aux points de sondages, et spatialisée sur la zone d’étude. Les résultats montrent clairement l’intérêt des méthodes statistiques et géostatistiques pour la caractérisation des sites complexes et l’élaboration d’un modèle géologique et géotechnique du site adapté. La démarche d’analyse des tassements proposée met en avant le fait que les incertitudes des paramètres se répercutent sur les résultats des calculs de dimensionnement et expliquent le comportement global de l’infrastructure. Ces résultats peuvent se traduire sous forme d’une probabilité de ruine qui peut ensuite être utilisée dans un processus de prise de décision et de management des risques. D’une manière plus large, ce travail de thèse constitue une contribution à l’élaboration et l’analyse des campagnes de reconnaissances géotechniques, en ayant le souci d’identifier, d’évaluer et de prendre en compte la variabilité et les incertitudes des données lors des différentes phases du projet pour permettre une meilleure maîtrise du risque d’origine géotechnique. / The current evolution of the geotechnical engineering places the risk management of geotechnical origin in the heart of its objectives. We also notice that the complexity of the projects of development (through the objectives costs/deadline/performances which are sought) is increasing and that soil chosen to receive them present unusual geotechnical conditions. These unfavourable conditions usually mean a strong variability of the soil properties, which induces soil investigation and data analysis more difficult. This work of thesis deals with the characterization of the natural variability of soils and with the uncertainties dues to geotechnical investigations, with the aim to better take them into account in geotechnical engineering project. This work takes place in the context of the management of the risk of project with geotechnical origin. The main statistical tools used for describe the scattering of the data and their spatial variability (geostatistic), as well as the probabilistic methods enabling to use their results in calculations, are presented under the view of their application in geotechnical design. The approach is applied to a project of railway platform. This infrastructure was located on a site where the geology and the geotechnical conditions are complex, and which present important deformations due to the soil settlements. A new analysis of geotechnical data was started again. First, geotechnical data were included in a database in order to ease their statistical and geostatistical treatment. Their statistical and spatial variability were characterized allowing a better understanding of the site. The geologic and geotechnical model so established was then used to assess the settlement effects. An analysis in three levels is proposed: global, local and spatial, which give means to estimate the settlement values and its uncertainty, respectively, on the scale of the site, on the boring points, and on zone of study according to the spatial connectivity of soil properties. The results clearly show the interest of statistical and geostatiscal methods in characterizing complex sites and in the elaboration of a relevant geologic and geotechnical model. The settlement analysis proposed highlight that the parameter uncertainties are of first importance on the design calculations and explain the global behaviour of the infrastructure. These results can be translated in the form of a reliabilitry analysis which can be then used in a process of decision-making and risk management. In a wider way, this work of thesis contributes toward the elaboration and the analysis of the geotechnical investigations, with the aim to identify, to estimate and to take into account the variability and the uncertainties of the data during the various stages of the project. It leads to better control of the risk of geotechnical origin.

In the last half a century, Computational Fluid Dynamics (CFD) has been established as an important complementary part and some times a significant alternative to Experimental and Theoretical Fluid Dynamics. Development of efficient computational algorithms for digital simulation of fluid flows has been an ongoing research effort in CFD. An accurate numerical simulation of compressible Euler equations, which are the gov-erning equations of high speed flows, is important in many engineering applications like designing of aerospace vehicles and their components. Due to nonlinear nature of governing equations, such flows admit solutions involving discontinuities like shock waves and contact discontinuities. Hence, it is nontrivial to capture all these essential features of the flows numerically. There are various numerical methods available in the literature, the popular ones among them being the Finite Volume Method (FVM), Finite Difference Method (FDM), Finite Element Method (FEM) and Spectral method. Kinetic theory based algorithms for solving Euler equations are quite popular in finite volume framework due to their ability to connect Boltzmann equation with Euler equations. In kinetic framework, instead of dealing directly with nonlinear partial differential equations one needs to deal with a simple linear partial differential equation. Recently, FEM has emerged as a significant alternative to FVM because it can handle complex geometries with ease and unlike in FVM, achieving higher order accuracy is easier. High speed flows governed by compressible Euler equations are hyperbolic partial differential equations which are characterized by preferred directions for information propagation. Such flows can not be solved using traditional FEM methods and hence, stabilized methods are typically introduced. Various stabilized finite element methods are available in the literature like Streamlined-Upwind Petrov Galerkin (SUPG) method, Galerkin-Least Squares (GLS) method, Taylor-Galerkin method, Characteristic Galerkin method and Discontinuous Galerkin Method. In this thesis a novel stabilized finite element method called as Kinetic Streamlined-Upwind Petrov Galerkin (KSUPG) method is formulated. Both explicit and implicit versions of KSUPG scheme are presented. Spectral stability analysis is done for explicit KSUPG scheme to obtain the stable time step. The advantage of proposed scheme is, unlike in SUPG scheme, diffusion vectors are obtained directly from weak KSUPG formulation. The expression for intrinsic time scale is directly obtained in KSUPG framework. The accuracy and robustness of the proposed scheme is demonstrated by solving various test cases for hyperbolic partial differential equations like Euler equations and inviscid Burgers equation. In the KSUPG scheme, diffusion terms involve computationally expensive error and exponential functions. To decrease the computational cost, two variants of KSUPG scheme, namely, Peculiar Velocity based KSUPG (PV-KSUPG) scheme and Circular distribution based KSUPG (C-KSUPG) scheme are formulated. The PV-KSUPG scheme is based on peculiar velocity based splitting which, upon taking moments, recovers a convection-pressure splitting type algorithm at the macroscopic level. Both explicit and implicit versions of PV-KSUPG scheme are presented. Unlike KSUPG and PV-KUPG schemes where Maxwellian distribution function is used, the C-KUSPG scheme uses a simpler circular distribution function instead of a Maxwellian distribution function. Apart from being computationally less expensive it is less diffusive than KSUPG scheme.

The aim of the master‘s thesis is static and structural design of polyfunctional house. The load will be determined according to ČSN EN 1990. The finite element method will be used for the calculation of internal forces. The design will be dimensioned according to ČSN EN 1992. Text part, static calculation and shape and reinforcement drawings will form the output of this work.

The master thesis summaries the findings results of a study focused on the spread of noise vibrating flat plates. Part of this thesis is measurements of flat plate noise in the anechoic chamber and finally their processing and evaluation. The next part of the thesis is focused on FEM acoustic simulation and comparing results with measurements.

For the purpose of mechanical impact energy absorption in the transport industry are mainly used special profile absorbers. For highly specialized applications is required to use components that are designed for specific kind of deformation. Example of these parts are industrial-made metal foams or micro-lattice structures produced by SLM technology. This paper focuses on low-velocity dynamic loading prediction of BCC micro-lattice structure made of aluminum alloy AlSi10Mg by SLM technology (SLM 280HL). For this purpose dynamic FEM simulaton of the micro-lattice structure was developed, supplemented by model of BCC structure material obtained from mechanical testing. Real geometry of tested samples obtained from optical measurement (Atos Triple Scan III) was further implemented in the numerical model. Dynamic BCC structure load experiment was performed on a drop-weight tester. Behavior of structured material in drop-weight test was described by the course of deformation and reaction forces over time. Comparable results were obtained for flat loading of dynamic FEM simulation and experiment. Inclusion of production phenomena in simulation led to increased accuracy and compliance with experiment. Tool for testing the effect of geometry change on mechanical properties was created. To achieve more accurate results with puncture load, it is necessary to modify the material model with real material deformation at test sample failure.

Tato diplomová práce se zabývá výpočtovým modelováním zápustkového kování, které patří do metod objemového tváření zatepla. Cílem je změnit běžnou praxi tvorby výpočtových modelů ve specializovaných softwarech na bázi metody konečných prvků (MKP) a sestavit výpočtový model v MKP softwaru Abaqus. Pro výpočet jsou zde použity deformační varianta MKP a explicitní algoritmus. Řešenou součástí je ozubené kolo automobilové převodovky. V rámci práce je vytvořena rešerše z oblasti objemového tváření včetně specializovaných programů pro simulace procesů tváření. Dále jsou v práci uvedeny všechny konstitutivní vztahy pro popis elasto-plastického modelu materiálu s tvárným porušením. Následuje teorie přenosu tepla, jsou popsány všechny způsoby jeho realizace s jejich matematickými formulacemi včetně metod řešení. Klíčovou je kapitola popisující postup tvorby výpočtového modelu v softwaru Abaqus od tvorby geometrie až po okrajové podmínky. Následuje analýza dosažených výsledků a práce je zakončena výhledem na možné pokračování v tomto tématu.

As part of modernization of the Brno-Přerov railway line, is in the section between village Blažovice and town Vyškov desined tunnel composed of two monorail tubes about 640 meters length. Tubes are situated in neogenic clay with an overburden height of 11 meters. This master thesis deals with design suitable tunnel exavation, primary lining with static calculation and geotechnical monitoring.

This thesis is aimed on three-dimensional finite element time domain analysis. Vector finite elements are used for analysis of cavity resonator made from PEC and filled with vacuum. Results are compared with classical “nodal” finite elements and with published literature.

In traditional wine village Bořetice recently occurred to serious disturbances on structures of wine cellars. These failures were caused by, among other things, changes in the properties of the rock environment. This work focuses on the implementation of parametric studies in terms of changing the properties of rock (soil) from the viewpoint of structural arrangement of the wine cellar.

The subject of this thesis is the optimization of forged high pressure elements of fuel accumu-lator of Common Rail System. The aim of this work is to assess the current state and design the individual high pressure elements in the CAD system. There is implemented strain and stress analysis in the FEM system Abaqus/CAE and in fatigue postprocessor FEMFAT for all designs. On the basis of this analysis are proposed optimized design solutions.