Internal curing in cement-based materials

O desenvolvimento de betões de elevado desempenho, durante o início da década de 80, revelou que este tipo particular de materiais com base em cimento é susceptível a problemas de cura. São bem conhecidos os efeitos dos fenómenos autogéneos em sistemas de elevado desempenho com base em cimento, nomeadamente a fissuração em idade jovem. Esta é, aliás vista como a maior limitação no desenvolvimento de novos materiais com durabilidade superior. Desenvolvimentos recentes de métodos de cura interna provaram ser uma boa estratégia de mitigação dos efeitos da auto-dissecação destes sistemas, onde a presente tese ganha o seu espaço no tempo. Este estudo centra-se essencialmente em sistemas de elevado desempenho com base em cimento com cura interna através de partículas superabsorventes, dando particular importância à alteração de volume em idade jovem. Da análise mais aprofundada deste método, resultam algumas limitações na sua aplicabilidade, especialmente em sistemas modificados com sílica de fumo. Conclui-se que a natureza física e química dos polímeros superabsorventes pode afectar significativamente a eficiência da cura interna. Em adição, os mecanismos de cura interna são discutidos mais profundamente, sendo que para além dos mecanismos baseados em fenómenos físicos e químicos, parecem existir efeitos mecânicos significativos. Várias técnicas foram utilizadas durante o decorrer desta investigação, com o objectivo, para além da caracterização de certas propriedades dos materiais, de perseguir as questões deixadas em aberto pela comunidade internacional, relativamente aos mecanismos que fundamentam a explicação dos fenómenos autogéneos. Como exemplo, são apresentados os estudos sobre hidratação dos sistemas para avaliação do problema numa escala microscópica, em vez de macroscópica. Uma nova técnica de cura interna emerge da investigação, baseada na utilização de agregados finos como veiculo para mitigar parcialmente a retracção autogénea. Até aqui, esta técnica não encontra par em investigação anterior, mas a extensão da cura interna ou a eficácia na mitigação baseada neste conceito encontra algumas limitações. A significância desta técnica em prevenir a micro fissuração é um aspecto que está ainda em aberto, mas pode concluir-se que os agregados finos podem ser benéficos na redução dos efeitos da restrição localizada no sistema, reduzindo o risco de micro fissuração. A utilização combinada de partículas finas de agregado e polímeros super absorventes pode ter como consequência betão sem microfissuração, ou pelo menos com nanofissuração.

Electromechanical properties of engineered lead free potassium sodium niobate based materials

K0.5Na0.5NbO3 (KNN), is the most promising lead free material for substituting lead zirconate titanate (PZT) which is still the market leader used for sensors and actuators. To make KNN a real competitor, it is necessary to understand and to improve its properties. This goal is pursued in the present work via different approaches aiming to study KNN intrinsic properties and then to identify appropriate strategies like doping and texturing for designing better KNN materials for an intended application. Hence, polycrystalline KNN ceramics (undoped, non-stoichiometric; NST and doped), high-quality KNN single crystals and textured KNN based ceramics were successfully synthesized and characterized in this work. Polycrystalline undoped, non-stoichiometric (NST) and Mn doped KNN ceramics were prepared by conventional ceramic processing. Structure, microstructure and electrical properties were measured. It was observed that the window for mono-phasic compositions was very narrow for both NST ceramics and Mn doped ceramics. For NST ceramics the variation of A/B ratio influenced the polarization (P-E) hysteresis loop and better piezoelectric and dielectric responses could be found for small stoichiometry deviations (A/B = 0.97). Regarding Mn doping, as compared to undoped KNN which showed leaky polarization (P-E) hysteresis loops, B-site Mn doped ceramics showed a well saturated, less-leaky hysteresis loop and a significant properties improvement. Impedance spectroscopy was used to assess the role of Mn and a relation between charge transport – defects and ferroelectric response in K0.5Na0.5NbO3 (KNN) and Mn doped KNN ceramics could be established. At room temperature the conduction in KNN which is associated with holes transport is suppressed by Mn doping. Hence Mn addition increases the resistivity of the ceramic, which proved to be very helpful for improving the saturation of the P-E loop. At high temperatures the conduction is dominated by the motion of ionized oxygen vacancies whose concentration increases with Mn doping. Single crystals of potassium sodium niobate (KNN) were grown by a modified high temperature flux method. A boron-modified flux was used to obtain the crystals at a relatively low temperature. XRD, EDS and ICP analysis proved the chemical and crystallographic quality of the crystals. The grown KNN crystals exhibit higher dielectric permittivity (29,100) at the tetragonal-to-cubic phase transition temperature, higher remnant polarization (19.4 μC/cm2) and piezoelectric coefficient (160 pC/N) when compared with the standard KNN ceramics. KNN single crystals domain structure was characterized for the first time by piezoforce response microscopy. It could be observed that <001> - oriented potassium sodium niobate (KNN) single crystals reveal a long range ordered domain pattern of parallel 180° domains with zig-zag 90° domains. From the comparison of KNN Single crystals to ceramics, It is argued that the presence in KNN single crystal (and absence in KNN ceramics) of such a long range order specific domain pattern that is its fingerprint accounts for the improved properties of single crystals. These results have broad implications for the expanded use of KNN materials, by establishing a relation between the domain patterns and the dielectric and ferroelectric response of single crystals and ceramics and by indicating ways of achieving maximised properties in KNN materials. Polarized Raman analysis of ferroelectric potassium sodium niobate (K0.5Na0.5)NbO3 (KNN) single crystals was performed. For the first time, an evidence is provided that supports the assignment of KNN single crystals structure to the monoclinic symmetry at room temperature. Intensities of A′, A″ and mixed A′+A″ phonons have been theoretically calculated and compared with the experimental data in dependence of crystal rotation, which allowed the precise determination of the Raman tensor coefficients for (non-leaking) modes in monoclinic KNN. In relation to the previous literature, this study clarifies that assigning monoclinic phase is more suitable than the orthorhombic one. In addition, this study is the basis for non-destructive assessments of domain distribution by Raman spectroscopy in KNN-based lead-free ferroelectrics with complex structures. Searching a deeper understanding of the electrical behaviour of both KNN single crystal and polycrystalline materials for the sake of designing optimized KNN materials, a comparative study at the level of charge transport and point defects was carried out by impedance spectroscopy. KNN single crystals showed lower conductivity than polycrystals from room temperature up to 200 ºC, but above this temperature polycrystalline KNN displays lower conductivity. The low temperature (T < 200 ºC) behaviour reflects the different processing conditions of both ceramics and single crystals, which account for less defects prone to charge transport in the case of single crystals. As temperature increases (T > 200 ºC) single crystals become more conductive than polycrystalline samples, in which grain boundaries act as barriers to charge transport. For even higher temperatures the conductivity difference between both is increased due to the contribution of ionic conduction in single crystals. Indeed the values of activation energy calculated to the high temperature range (T > 300 ºC) were 1.60 and 0.97 eV, confirming the charge transport due to ionic conduction and ionized oxygen vacancies in single crystals and polycrystalline KNN, respectively. It is suggested that single crystals with low defects content and improved electromechanical properties could be a better choice for room temperature applications, though at high temperatures less conductive ceramics may be the choice, depending on the targeted use. Aiming at engineering the properties of KNN polycrystals towards the performance of single crystals, the preparation and properties study of (001) – oriented (K0.5Na0.5)0.98Li0.02NbO3 (KNNL) ceramics obtained by templated grain growth (TGG) using KNN single crystals as templates was undertaken. The choice of KNN single crystals templates is related with their better properties and to their unique domain structure which were envisaged as a tool for templating better properties in KNN ceramics too. X-ray diffraction analysis revealed for the templated ceramics a monoclinic structure at room temperature and a Lotgering factor (f) of 40% which confirmed texture development. These textured ceramics exhibit a long range ordered domain pattern consisting of 90º and 180º domains, similar to the one observed in the single crystals. Enhanced dielectric (13017 at TC), ferroelectric (2Pr = 42.8 μC/cm2) and piezoelectric (d33 = 280 pC/N) properties are observed for textured KNNL ceramics as compared to the randomly oriented ones. This behaviour is suggested to be due to the long range ordered domain patterns observed in the textured ceramics. The obtained results as compared with the data previously reported on texture KNN based ceramics confirm that superior properties were found due to ordered repeated domain pattern. This study provides an useful approach towards properties improvement of KNN-based piezoelectric ceramics. Overall, the present results bring a significant contribution to the pool of knowledge on the properties of sodium potassium niobate materials: a relation between the domain patterns and di-, ferro-, and piezo-electric response of single crystals and ceramics was demonstrated and ways of engineering maximised properties in KNN materials, for example by texturing were established. This contribution is envisaged to have broad implications for the expanded use of KNN over the alternative lead-based materials.

Biomass fly ash incorporation in cement based materials

In recent years, pressures on global environment and energy security have led to an increasing demand on renewable energy sources, and diversification of Europe’s energy supply. Among these resources the biomass could exert an important role, since it is considered a renewable and CO2 neutral energy resource once the consumption rate is lower than the growth rate, and can potentially provide energy for heat, power and transports from the same installation. Currently, most of the biomass ash produced in industrial plants is either disposed of in landfill or recycled on agricultural fields or forest, and most times this goes on without any form of control. However, considering that the disposal cost of biomass ashes are raising, and that biomass ash volumes are increasing worldwide, a sustainable ash management has to be established. The main objective of the present study is the effect of biomass fly ashes in cement mortars and concretes in order to be used as a supplementary cementitious material. The wastes analyzed in the study were collected from the fluidized bed boilers and grate boilers available in the thermal power plants and paper pulp plants situated in Portugal. The physical as well as chemical characterisations of the biomass fly ashes were investigated. The cement was replaced by the biomass fly ashes in 10, 20 and 30% (weight %) in order to investigate the fresh properties as well as the hardened properties of biomass fly ash incorporated cement mortar and concrete formulations. Expansion reactions such as alkali silica reaction (ASR), sulphate attack (external and internal) were conducted in order to check the durability of the biomass fly ash incorporated cement mortars and concretes. Alternative applications such as incorporation in lime mortars and alkali activation of the biomass fly ashes were also attempted. The biomass fly ash particles were irregular in shape and fine in nature. The chemical characterization revealed that the biomass fly ashes were similar to a class C fly ash. The mortar results showed a good scope for biomass fly ashes as supplementary cementitious materials in lower dosages (<20%). The poor workability, concerns about the organic content, alkalis, chlorides and sulphates stand as the reasons for preventing the use of biomass fly ash in high content in the cement mortars. The results obtained from the durability tests have shown a clear reduction in expansion for the biomass fly ash mortars/concretes and the binder blend made with biomass fly ash (20%) and metakaolin (10%) inhibited the ASR reaction effectively. The biomass fly ash incorporation in lime mortars did not improve the mortar properties significantly though the carbonation was enhanced in the 15-20% incorporation. The biomass fly ash metakaolin blend worked well in the alkali activated complex binder application also. Portland cement free binders (with 30-40 MPa compressive strength) were obtained on the alkali activation of biomass fly ashes (60-80%) blended with metakaolin (20-40%).

Microstructure design of Titanate-based electroceramics

Electrocerâmicos são uma classe de materiais avançados com propriedades eléctricas valiosas para aplicações. Estas propriedades são geralmente muito dependentes da microestrutura dos materiais. Portanto, o objectivo geral deste trabalho é investigar o desenho da resposta dieléctrica de filmes espessos obtidos por Deposição Electroforética (EPD) e cerâmicos monolíticos, através do controlo da evolução da microestrutura durante a sinterização de electrocerâmicos à base de titanatos. Aplicações sem fios na indústria microelectrónica e de comunicações, em rápido crescimento, tornaram-se um importante mercado para os fabricantes de semicondutores. Devido à constante necessidade de miniaturização, redução de custos e maior funcionalidade e integração, a tecnologia de filmes espessos está a tornar-se uma abordagem de processamento de materiais funcionais cada vez mais importante. Uma técnica adequada neste contexto é EPD. Os filmes espessos resultantes necessitam de um passo subsequente de sinterização que é afectada pelo substrato subjacente, tendo este um forte efeito sobre a evolução da microestrutura. Relacionado com a miniaturização e a discriminação do sinal, materiais dieléctricos usados como componentes operando a frequências das microondas em aplicações na industria microelectrónica de comunicações devem apresentar baixas perdas dieléctricas e elevadas permitividade dieléctrica e estabilidade com a temperatura. Materiais do sistema BaO-Ln2O3- TiO2 (BLnT: Ln = La ou Nd), como BaLa4Ti4O15 (BLT) e Ba4.5Nd9Ti18O54 (BNT), cumprem esses requisitos e são interessantes para aplicações, por exemplo, em estações de base para comunicações móveis ou em ressonadores para telefones móveis, onde a miniaturização dos dispositivos é muito importante. Por sua vez, o titanato de estrôncio (SrTiO3, STO) é um ferroeléctrico incipiente com constante dieléctrica elevada e baixas perdas, que encontra aplicação em, por exemplo, condensadores de camada interna, tirando partido de fronteiras de grão altamente resistivas. A dependência da permitividade dieléctrica do campo eléctrico aplicado torna este material muito interessante para aplicações em dispositivos de microondas sintonizáveis. Materiais à base de STO são também interessantes para aplicações termoeléctricas, que podem contribuir para a redução da actual dependência de combustíveis fósseis por meio da geração de energia a partir de calor desaproveitado. No entanto, as mesmas fronteiras de grão resistivas são um obstáculo relativamente à eficiência do STO para aplicações termoeléctricas. Para além do efeito do substrato durante a sinterização constrangida, outros factores, como a presença de fase líquida, a não-estequiometria ou a temperatura de sinterização, afectam significativamente não apenas a microestrutura dos materiais funcionais, mas também a sua resposta dieléctrica. Se adequadamente compreendidos, estes factores podem ser intencionalmente usados para desenhar a microestrutura dos electrocerâmicos e, desta forma, as suas propriedades dieléctricas. O efeito da não-estequiometria (razão Sr/Ti 0.995-1.02) no crescimento de grão e resposta dieléctrica de cerâmicos de STO foi investigado neste trabalho. A mobilidade das fronteiras de grão aumenta com a diminuição da razão Sr/Ti. A resistividade do interior dos grãos e das fronteiras de grão é sistematicamente diminuída em amostras não-estequiométricas de STO, em comparação com o material estequiométrico. O efeito é muito mais forte para as fronteiras de grão do que para o seu interior. Dependências sistemáticas da não-estequiometria foram também observadas relativamente à dependência da condutividade da temperatura (muito mais afectada no caso da contribuição das fronteiras de grão), à capacitância do interior e fronteiras de grão e à espessura das fronteiras de grão. Uma anomalia no crescimento de grão em cerâmicos de STO ricos em Ti foi também observada e sistematicamente analisada. Foram detectadas três descontinuidades na dependência do tipo Arrhenius do crescimento de grão relativamente à temperatura com diminuições no tamanho de grão a temperaturas em torno de 1500, 1550 e 1605 °C. Além disso, descontinuidades semelhantes foram também observadas na dependência da energia de activação relativamente à condutividade das fronteiras de grão e na espessura das fronteiras de grão, avaliadas por Espectroscopia de Impedância. Estas notáveis coincidências suportam fortemente a formação de diferentes complexos de fronteira de grão com transições entre os regimes de crescimento de grão observados, que podem ser correlacionados com diferentes mobilidades de fronteira de grão e propriedades dieléctricas. Um modelo é sugerido, que se baseia na diminuição da fase líquida localizada nas fronteiras de grão, como o aumento da temperatura de sinterização, um cenário compatível com um fenómeno de solubilidade retrógrada, observado anteriormente em metais e semicondutores, mas não em cerâmicos. A EPD de filmes espessos de STO em substratos de folha de Pt e a sinterização constrangida dos filmes fabricados foram também preliminarmente tratadas. Filmes espessos de STO foram depositados com êxito por EPD sobre substratos de Pt e, depois de sinterizados, atingiram densidades elevadas. Um aumento da densificação e do tamanho de grão assim como o alargamento da distribuição de tamanho do grão foram observados com a diminuição da razão Sr/Ti, tal como anteriormente observado em amostras cerâmicas. Grãos equiaxiados foram observados para todas as composições, mas um certo grau de anisotropia na orientação dos poros foi detectado: os poros revelaram uma orientação vertical preferencial. Este trabalho focou-se também na sinterização constrangida do sistema BLnT (Ln = La ou Nd), nomeadamente de filmes espessos de BLT e BNT sobre substratos de folha de platina, e na relação do desenvolvimento de anisotropia microestrutural com as propriedades dieléctricas. As observações durante a sinterização constrangida foram comparadas com cerâmicos monolíticos equivalentes sinterizados livremente. Filmes espessos de BLnT (Ln = La ou Nd) com elevada densidade foram obtidos por EPD e subsequente sinterização constrangida. A anisometria cristalográfica do material em conjunto com um passo de sinterização constrangida resultou em grãos alongados e microestruturas anisotrópicas. O efeito do stress do substrato durante a sinterização constrangida originou graus mais elevados de anisotropia (grãos e poros alongados e orientação preferencial, bem como textura cristalográfica) nos filmes sinterizados relativamente aos cerâmicos equivalentes sinterizados livremente, não obstante o estado equivalente das amostras em verde. A densificação dos filmes de BLnT (Ln = La ou Nd) é retardada em comparação com os cerâmicos, mas depois de longos tempos de sinterização densidades semelhantes são obtidas. No entanto, em oposição a observações na sinterização constrangida de outros sistemas, o crescimento do grão em filmes de BLnT (Ln = La ou Nd) é favorecido pelo constrangimento causado pelo substrato. Além disso, grãos e poros alongados orientados paralelamente ao substrato foram desenvolvidos durante a sinterização constrangida de filmes espessos. Verificou-se uma forte correlação entre a evolução de grãos e poros, que começou assim que o crescimento do grão se iniciou. Um efeito da tensão do substrato no aumento do crescimento de grão, bem como um forte “Zener pinning”, origina microestruturas altamente texturizadas, o que também é observado a nível cristalográfico. Efeitos marcantes da anisotropia microestrutural foram também detectados nas propriedades dieléctricas dos filmes de BLnT (Ln = La ou Nd). Juntamente com o aumento da razão de aspecto dos grãos, do factor de orientação e do grau de textura cristalográfica, a permitividade relativa é ligeiramente diminuída e o coeficiente de temperatura da permitividade evolui de negativo para positivo com o aumento do tempo isotérmico de sinterização. Este trabalho mostra que a não-estequiometria pode ser usada para controlar a mobilidade das fronteiras de grão e, portanto, desenhar a microestrutura e as propriedades dieléctricas de electrocerâmicos à base de STO, com ênfase nas propriedades das fronteiras de grão. O papel da não-estequiometria no STO e dos complexos de fronteira de grão no desenvolvimento microestrutural é discutido e novas oportunidades para desenhar as propriedades de materiais funcionais são abertas. As observações relativamente à sinterização constrangida apontam para o efeito de tensões mecânicas desenvolvidas devido ao substrato subjacente no desenvolvimento da microestrutura de materiais funcionais. É assim esperado que a escolha adequada de substrato permitia desenhar a microestrutura de filmes espessos funcionais com desempenho optimizado. “Stress Assisted Grain Growth” (SAGG) é então proposto como uma técnica potencial para desenhar a microestrutura de materiais funcionais, originando microestruturas anisotrópicas texturizadas com propriedades desejadas.

Surface reactivity enhancement of silica-based glass-ceramic scaffolds

A paradigm shift is taking place from using transplanting tissue and synthetic implants to a tissue engineering approach that aims to regenerate damaged tissues by combining cells from the body with highly porous scaffold biomaterials, which act as templates, guiding the growth of new tissue. The central focus of this thesis was to produce porous glass and glass-ceramic scaffolds that exhibits a bioactive and biocompatible behaviour with specific surface reactivity in synthetic physiological fluids and cell-scaffold interactions, enhanced by composition and thermal treatments applied. Understanding the sintering behaviour and the interaction between the densification and crystallization processes of glass powders was essential for assessing the ideal sintering conditions for obtaining a glass scaffolds for tissue engineering applications. Our main goal was to carry out a comprehensive study of the bioactive glass sintering, identifying the powder size and sintering variables effect, for future design of sintered glass scaffolds with competent microstructures. The developed scaffolds prepared by the salt sintering method using a 3CaO.P2O5 - SiO2 - MgO glass system, with additions of Na2O with a salt, NaCl, exhibit high porosity, interconnectivity, pore size distribution and mechanical strength suitable for bone repair applications. The replacement of 6 % MgO by Na2O in the glass network allowed to tailor the dissolution rate and bioactivity of the glass scaffolds. Regarding the biological assessment, the incorporation of sodium to the composition resulted in an inibition cell response for small periods. Nevertheless it was demonstrated that for 21 days the cells response recovered and are similar for both glass compositions. The in vitro behaviour of the glass scaffolds was tested by introducing scaffolds to simulated body fluid for 21 days. Energy-dispersive Xray spectroscopy and SEM analyses proved the existence of CaP crystals for both compositions. Crystallization forming whitlockite was observed to affect the dissolution behaviour in simulated body fluid. By performing different heat treatments, it was possible to control the bioactivity and biocompatability of the glass scaffolds by means of a controlled crystallization. To recover and tune the bioactivity of the glass-ceramic with 82 % crystalline phase, different methods have been applied including functionalization using 3- aminopropyl-triethoxysilane (APTES). The glass ceramic modified surface exhibited an accelerated crystalline hydroxyapatite layer formation upon immersion in SBF after 21 days while the as prepared glass-ceramic had no detected formation of calcium phosphate up to 5 months. A sufficient mechanical support for bone tissue regeneration that biodegrade later at a tailorable rate was achievable with the glass–ceramic scaffold. Considering the biological assessment, scaffolds demonstrated an inductive effect on the proliferation of cells. The cells showed a normal morphology and high growth rate when compared to standard culture plates. This study opens up new possibilities for using 3CaO.P2O5–SiO2–MgO glass to manufacture various structures, while tailoring their bioactivity by controlling the content of the crystalline phase. Additionally, the in vitro behaviour of these structures suggests the high potential of these materials to be used in the field of tissue regeneration.

Development of Zirconia based phosphors for application in lighting and as luminescent bioprobes

The strong progress evidenced in photonic and optoelectronic areas, accompanied by an exponential development in the nanoscience and nanotechnology, gave rise to an increasing demand for efficient luminescent materials with more and more exigent characteristics. In this field, wide band gap hosts doped with lanthanide ions represent a class of luminescent materials with a strong technological importance. Within wide band gap material, zirconia owns a combination of physical and chemical properties that potentiate it as an excellent host for the aforementioned ions, envisaging its use in different areas, including in lighting and optical sensors applications, such as pressure sensors and biosensors. Following the demand for outstanding luminescent materials, there is also a request for fast, economic and an easy scale-up process for their production. Regarding these demands, laser floating zone, solution combustion synthesis and pulsed laser ablation in liquid techniques are explored in this thesis for the production of single crystals, nanopowders and nanoparticles of lanthanides doped zirconia based hosts. Simultaneously, a detailed study of the morphological, structural and optical properties of the produced materials is made. The luminescent characteristics of zirconia and yttria stabilized zirconia (YSZ) doped with different lanthanide ions (Ce3+ (4f1), Pr3+ (4f2), Sm3+ (4f5), Eu3+ (4f6), Tb3+ (4f8), Dy3+ (4f9), Er3+ (4f11), Tm3+ (4f12), Yb3+ (4f13)) and co-doped with Er3+,Yb3+ and Tm3+,Yb3+ are analysed. Besides the Stokes luminescence, the anti- Stokes emission upon infrared excitation (upconversion and black body radiation) is also analysed and discussed. The comparison of the luminescence characteristics in materials with different dimensions allowed to analyse the effect of size in the luminescent properties of the dopant lanthanide ions. The potentialities of application of the produced luminescent materials in solid state light, biosensors and pressure sensors are explored taking into account their studied characteristics.

Laser assisted directional solidification of zirconia-based eutectics

Directionally solidified zirconia-based eutectic (DSE) fibres were obtained using the laser floating zone (LFZ) method. Two systems were investigated: zirconia-barium zirconate and zirconia-mullite. The purpose was to take advantage of zirconia properties, particularly as an ionic conductor and a mechanical rein-forcement phase. The influence of processing conditions in the structural and microstructural characteristics and their consequences on the electrical and mechanical behaviour were the focus of this thesis. The novel zirconia-barium zirconate eutectic materials were developed in order to combine oxygen ionic conduction through zirconia with protonic conduction from barium zirconate, promoting mixed ionic conduction behaviour. The mi-crostructure of the fibres comprises two alternated regions: bands having coarser zirconia-rich microstructure; and inter-band regions changing from a homogeneous coupled eutectic, at the lowest pulling rate, to columnar colony microstructure, for the faster grown fibres. The bands inter-distance increases with the growth rate and, at 300 mm/h, zirconia dendrites develop enclosed in a fine-interpenetrated network of 50 vol.% ZrO2-50 vol.% BaZrO3. Both phases display contiguity without interphase boundaries, according to impedance spec-troscopy data. Yttria-rich compositions were considered in order to promote the yttrium incorporation in both phases, as revealed by Raman spectroscopy and corroborated by the elemental chemical analysis in energy dispersive spectros-copy. This is a mandatory condition to attain simultaneous contribution to the mixed ionic conduction. Such results are supported by impedance spectrosco-py measurements, which clearly disclose an increase of total ionic conduction for lower temperatures in wet/reduction atmospheres (activation energies of 35 kJ/mol in N2+H2 and 48 kJ/mol in air, in the range of 320-500 ºC) compared to the dry/oxidizing conditions (attaining values close to 90 kJ/mol, above 500 ºC). At high temperatures, the proton incorporation into the barium zirconate is un-favourable, so oxygen ion conduction through zirconia prevails, in dry and oxi-dizing environments, reaching a maximum of 1.3x10-2 S/cm in dry air, at ~1000 ºC. The ionic conduction of zirconia was alternatively combined with another high temperature oxygen ion conductor, as mullite, in order to obtain a broad elec-trolytic domain. The growth rate has a huge influence in the amount of phases and microstructure of the directionally solidified zirconia-mullite fibres. Their microstructure changes from planar coupled eutectic to dendritic eutectic mor-phology, when the growth rate rises from 1 to 500 mm/h, along with an incre-ment of tetragonal zirconia content. Furthermore, high growth rates lead to the development of Al-Si-Y glassy phase, and thus less mullite amount, which is found to considerably reduce the total ionic conduction of as-grown fibres. The reduction of the glassy phase content after annealing (10h; 1400 ºC) promotes an increase of the total ionic conduction (≥0.01 S/cm at 1370 °C), raising the mullite and tetragonal zirconia contents and leading to microstructural differ-ences, namely the distribution and size of the zirconia constituent. This has important consequences in conductivity by improving the percolation pathways. A notable increase in hardness is observed from 11.3 GPa for the 10 mm/h pulled fibre to 21.2 GPa for the fibre grown at 500 mm/h. The ultra-fine eutectic morphology of the 500 mm/h fibres results in a maximum value of 534 MPa for room temperature bending strength, which decreases to about one-fourth of this value at high temperature testing (1400 ºC) due to the soft nature of the glassy-matrix.

Numerical and combinatorial applications of generalized Appell polynomials

This thesis studies properties and applications of different generalized Appell polynomials in the framework of Clifford analysis. As an example of 3D-quasi-conformal mappings realized by generalized Appell polynomials, an analogue of the complex Joukowski transformation of order two is introduced. The consideration of a Pascal n-simplex with hypercomplex entries allows stressing the combinatorial relevance of hypercomplex Appell polynomials. The concept of totally regular variables and its relation to generalized Appell polynomials leads to the construction of new bases for the space of homogeneous holomorphic polynomials whose elements are all isomorphic to the integer powers of the complex variable. For this reason, such polynomials are called pseudo-complex powers (PCP). Different variants of them are subject of a detailed investigation. Special attention is paid to the numerical aspects of PCP. An efficient algorithm based on complex arithmetic is proposed for their implementation. In this context a brief survey on numerical methods for inverting Vandermonde matrices is presented and a modified algorithm is proposed which illustrates advantages of a special type of PCP. Finally, combinatorial applications of generalized Appell polynomials are emphasized. The explicit expression of the coefficients of a particular type of Appell polynomials and their relation to a Pascal simplex with hypercomplex entries are derived. The comparison of two types of 3D Appell polynomials leads to the detection of new trigonometric summation formulas and combinatorial identities of Riordan-Sofo type characterized by their expression in terms of central binomial coefficients.