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This thesis concerns the modelling of acoustical and vibrational properties of open cell porous foams in multi-layered structures, especially multi-layered panels. The object is to enable optimisation of the microscopic geometry of the foam with respect to macroscopic quantities such as sound pressure level, surface velocity, total mass or cost. The developed method is based on numerical solutions to Biot's equations were scaling laws has been used to connect the microscopic geometry of the foam to macroscopic properties such as density, flow resistivity and characteristic length. Efforts have also been made to establish a scaling law for tortuosity that allows for adaptation to different strut shapes. / QC 20101117

La combustion du noir de carbone (NC) dans le creuset d'une thermobalance est contrôlée à la fois par la réaction et par le transport de l'oxygène jusqu'à la surface du lit et à l'intérieur du lit poreux de NC.Les expériences menées en modifiant la masse de NC ont montré que la concentration en oxygène peut tomber à zéro avant d'atteindre le fond du lit. Ainsi, à un instant donné, seule une partie du lit est en combustion. Cette masse, appelée masse critique (mc) dépend de la température. Elle passe de 35 mg à 570°C à 17,5 mg à 650°C.Un gradient d'oxygène s'établi donc dans le lit. La modélisation du transport interne de l'oxygène a montré que la diffusion de Fick constitue une bonne approximation pour représenter ce transport.Des conseils pour extraire correctement une constante cinétique à partir d'expériences thermogravimétrique sont donnés. La procédure est adaptée en fonction de la précision souhaitée.Ainsi, l'utilisation de faibles masses afin de réduire au mieux l'effet de la masse et l'exothermicité de la réaction est fortement conseillée. L'influence de la diffusion externe du gaz peut être réduite en utilisant des creusets de très faibles hauteurs, ou en mettant l'échantillon le plus proche de la bouche du creuset en remplissant le fond du creuset avec un matériau inerte. / Combustion of carbon black (CB) in the crucible of a thermobalance is controlled by both carbon reactivity and oxygen transport from the oxidizing flux to the surface of the bed and within the porous bed.The experiments conducted by changing the mass of CB showed that the oxygen concentration can fall to zero before the bottom of the bed. Thus, at a given time, only a part of the bed is burning. This mass, called critical mass (mc), depends to temperature. It went from 35 mg at 570°C to 17.5 mg at 650°C.An oxygen gradient is thus established in the bed. The Modelling of the internal transport of oxygen showed that the Fick diffusion is a good approximation to represent the transport.Advices to correctly extract a kinetic constant using thermogravimetric experiments are given. The procedure is adjusted depending to the precision desired.Thus, the use of low masses to best reduce the mass and exothermic reaction effects is strongly recommended. The influence of stagnant gas can be reduced by using crucibles with very low height, or by placing the sample closest to the mouth of the crucible by filling the bottom of the crucible with an inert material.

<div>Modeling methodologies based on state-of-the-art and classic theories of acoustics have been developed to provide a comprehensive toolbox, which can be used to model multilayer systems that involve acoustical and/or damping treatments, and to optimize these treatments' performance by designing their geometrical structures. The objective of this work was to understand, predict and optimize conventional sound absorbing porous media's near-field damping performance, so that automotive and aerospace industries can take full advantage of layered porous treatments' lightness and multi-functionality: i.e., absorption of airborne sound and reduction of structure-borne vibration, for noise control applications. First, acoustical models that include the Transfer Matrix Method and the Arbitrary Coefficient Method were developed to build connections between the bulk properties and acoustical properties of porous media when coupled into layered systems. Given a specified layered system consisting of a vibrating panel and a porous damping treatment, the acoustics models were then incorporated into the Near-field Damping model to predict the acoustical near-field and spatial response of the panel, based on which the near-field damping performance can be evaluated for a limp or an elastic porous layer when applied on different structures including an infinitely-extended panel, a partially-constrained panel, an aircraft fuselage-like structure and a vehicle floor pan-like structure. Furthermore, the relations between the material's microstructural details and bulk properties were established via an Air-Flow Resistivity model for porous media that are made of fibers, and the optimal fiber size that provides the largest damping for certain vibrating structures was identified. Relatively large fibers were found to be better at reducing lower frequency vibrations; fibers made of polymer were found to have manufacturing benefits over fibers made of glass to achieve equivalent optimal damping performance; and elastic fibers were found to have both manufacturing and damping advantages over limp fibers.</div>

The focus of this dissertation is on the development of an additive manufacturing system and methodology for fabricating structures with functionally graded porous internal properties and complex three-dimensional external characteristics. For this purpose, a multi-scale three-dimensional printing system was developed, with capabilities and fabrication methodologies refined in the context of, but not limited to, manufacturing of porous bone substitutes. Porous bone implants are functionally graded structures, where internally, the design requires a gradient in porosity and mechanical properties matching the functional transition between cortical and cancellous bone regions. Geometrically, the three-dimensional shape of the design must adhere to the anatomical shape of the bone tissue being replaced. In this work, control over functionally graded porous properties was achieved by integrating specialized modules in a custom-made additive manufacturing system and studying their effect on fabricated constructs. Heterogeneous porous properties were controlled by: (i) using a micro-syringe deposition module capable of embedding sacrificial elements with a controlled feature size within the structure, (ii) controlling the amount of binder dispersed onto the powder substrate using a piezoelectric printhead, (iii) controlling the powder type or size in real-time, and/or (iv) selecting the print layer stacking orientation within the part. Characterization methods included differential scanning calorimetry (DSC)-thermo gravimetric analysis (TGA) to establish the thermal decomposition of sacrificial elements, X-ray diffraction (XRD) and dispersive X-ray spectroscopy (EDAX) to investigate the chemical composition and crystallinity, scanning electron microscopy (SEM) and optical microscopy to investigate the physical and structural properties, uniaxial mechanical loading to establish compressive strength characteristics, and porosity measurements to determine the bulk properties of the material. These studies showed that the developed system was successful in manufacturing embedded interconnected features in the range of 100-500 $ \mu m $, with a significant impact on structural properties resulting in bulk porosities in the range of 30-55% and compressive strength between 2-50 MPa. In this work, control over the the three-dimensional shape of the construct was established iteratively, by using a silhouette extraction image processing technique to determine the appropriate anisotropic compensation factors necessary to offset the effects of shrinkage in complex-shaped parts during thermal annealing. Overall shape deviations in the range of +/- 5-7 % were achieved in the second iteration for a femoral condyle implant in a sheep model. The newly developed multi-scale 3DP system and associated fabrication methodology was concluded to have great potential in manufacturing structures with functionally graded properties and complex shape characteristics.

Les panneaux passifs, en particulier les doubles-cloisons, permettent d’obtenir de bonnes performances en isolation acoustique pour éliminer les bruits indésirables en moyennes et hautes fréquences. Ils ont été largement utilisés dans les domaines du bâtiment ou encore de l’industrie du transport. Un panneau hybride actif/passif est ici étudié, afin d’obtenir de bonnes performances en absorption et en isolation sur une gamme incluant des basses fréquences. La source secondaire est réalisée par une plaque active composée de deux céramiques piézo-électriques collées sur une plaque en acier. Le coeur du double panneau peut inclure un matériau poreux pour améliorer les performances de l’ensemble. Les résultats numériques et les données de mesure montrent que ces panneaux présentent sur une large bande de fréquences de bonnes performances avec contrôle actif. / Passive structures such as double walls are effective at reducing noise transmission at medium and high frequencies. They are widely used in building and transport applications. In this thesis, a hybrid passive/active acoustic panel concept is developped, with the aim of allowing high levels of absorption and insulation over a wide range of frecuencies. The secondary source is realized by an active plate consiting of two piezoelectric patches bonded to an elastic thin plate. The use of porous material as the core of the double-panel improves the acoustic efficiency of the structure. Numerical and experimental results show that this structure presents good absorption and transmission properties thanks to active control.

Tato diplomová práce zkoumá možnosti tvorby porézních struktur za použití partikulárních materiálů pojených anorganickými pojivy bez dodatečné tepelné úpravy vypalováním. Jako základní pojiva byly použity portlandský a hlinitanový cement a pojiva na bázi alkalicky aktivovaného metakaolinu (geopolymeru). Jako základní kamenivo byl použit karbid křemíku v různých frakcích podle velikosti částic. Byly taktéž použity další zrnité materiály, např. křemenný písek anebo odpadních materiálů (mleté sklo a porcelán) roztříděných do frakcí podle velikosti částic. Byl sledován vliv složení a množství kameniva na vytváření porézní struktury a tím i na mechanické vlastnosti, které byly testovány pomocí mechanických zkoušek. Pevnostní zkoušky byly provedeny na trámečcích 20 × 20 × 100 mm připravených z testovacích směsí. Granulometrické a fázové složení vstupních surovin bylo studováno metodou laserové granulometrie resp. RTG difrakce. Porézní struktura byla studována metodami rtuťové porozimetrie, dále pomocí světelné a rastrovací elektronové mikroskopie a taktéž pyknometrickou metodou. V rámci charakterizace přepážek (terčíky o průměru 90 mm) připravených z jednotlivých materiálů bylo provedeno stanovení efektivní permeability průtokem vzduchu. Dále byly provedeny testy vzlínavosti kapaliny v připravených materiálech. V závěru práce byly provedeny pokusy o filtraci jemných suspenzí přes uvedené přepážky.

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