Thesis (M.Sc.)--Memorial University of Newfoundland, 2004. / Bibliography: leaves 100-105.

Thermal barrier coatings (TBCs) have become an important part of turbine technology by providing thermal protection to the underlying metallic components. These coatings are typically made from a zirconia-based ceramics which have a low thermal conductivity and thermal expansion coefficients similar to those of the superalloys. Early failure in these coatings is most often due to foreign object damage and erosion resulting in delamination and spallation. To protect against these types of failure, new materials with increased toughness are needed. There are two main toughening mechanisms in ceramics: transformation toughening, which is limited to low temperature applications and ferroelastic toughening which is accessible at all temperatures. Ferroelastic toughening occurs when the c-axis of the tetragonal grain undergoes reorientation under the application of an external stress. In this study, ferroelastic toughening is examined by Raman spectroscopy. It is shown that by using polarized confocal Raman spectroscopy one can not only observed the ferroelastic process, but also measure the parameters that control the increase in toughness observed. Ferroelastic toughening was observed in two ways in the 18mol% ceria stabilized zirconia (18CSZ) samples studied here. Samples were either exposed to indentation damage or uniaxial loading. In both of these cases maps of the ceramic surface were taken using Raman spectroscopy following loading and the relative intensities of the tetragonal peaks were analyzed. The resulting intensity profiles were used to monitor the reorientation of domains corresponding to ferroelastic toughening. Changes in domain orientation were observed that corresponded to the reorientation of domains along cracks as well as on a larger scale along those cracks. Domain reorientation was also observed under uniaxial loading and the stresses required for domain formation and movement were measured.

Thesis (M.Sc.)--Memorial University of Newfoundland, 2001. / Bibliography: leaves 63-70.

ARAÚJO, Bruno Sousa. Transições de fase induzidas por pressão e tamanho de partícula no ferroelástico Pb8O5(VO4)2. 2014. 79 f. Dissertação (Mestrado em Física) - Programa de Pós-Graduação em Física, Departamento de Física, Centro de Ciências, Universidade Federal do Ceará, Fortaleza, 2014. / Submitted by Edvander Pires (edvanderpires@gmail.com) on 2014-10-31T19:40:08Z No. of bitstreams: 1 2014_dis_bsaraujo.pdf: 4719840 bytes, checksum: 34b47793096a5251b04f1f4121ba3485 (MD5) / Approved for entry into archive by Edvander Pires(edvanderpires@gmail.com) on 2014-10-31T19:41:19Z (GMT) No. of bitstreams: 1 2014_dis_bsaraujo.pdf: 4719840 bytes, checksum: 34b47793096a5251b04f1f4121ba3485 (MD5) / Made available in DSpace on 2014-10-31T19:41:19Z (GMT). No. of bitstreams: 1 2014_dis_bsaraujo.pdf: 4719840 bytes, checksum: 34b47793096a5251b04f1f4121ba3485 (MD5) Previous issue date: 2014 / Ferroelastic compounds are characterized by the possibility to present two or more states of spontaneous strain which could be permuted by application of mechanical stress. Pb8O5(VO4)2 can be classified as belonging to this group. Its crystal structure is not well defined in the literature due to certain adversities found during the data analysis. However, making use of X-ray diffraction in several crystals of this compound we will discuss their probable point groups. It is also known that there is a direct relation between the states of strain and the domains pattern at ambient conditions of temperature and pressure. Several spectroscopic techniques were employed in order to analyze how the crystal structure of these compounds varies according to the dimensions of each crystal. Therefore, we observed the existence of three phases under ambient conditions as well as the possibility of a spontaneous phase transition in crystals of order to units of square micrometers. The structural behavior of Pb8O5(VO4)2 with increasing temperature has been studied in detail by different authors. They reported the existence of two phase transitions on heating, one second-order transition at about 440 K and another first-order around 520 K. The first-order phase transition leads the Pb8O5(VO4)2 crystals of ferroelastic phase to paraelastic phase. However, since ferroelastics crystals show changes of state of spontaneous strain through the application of mechanical stress, we made use of Raman scattering measures with increasing of hydrostatic pressure on samples of Pb8O5(VO4)2 to accompany the spectral behavior of the same during these pressure variations. This way we observed a phenomenon of amorphization of the sample around 11 GPa and obtained strong evidences from three phase transitions at approximately 1, 3.5 and 6 GPa. / Compostos ferroelásticos são caracterizados pela possibilidade de apresentarem dois ou mais estados de deformação ou strain espontâneos devendo haver a possibilidade de permutação entre estes estados através da aplicação de um stress mecânico. O Pb8O5(VO4)2 pode ser classificado como pertencente a este grupo. Sua estrutura cristalina ainda não é bem definida na literatura por conta de certas adversidades encontradas durante as análises das mesmas, no entanto, fazendo uso de difração de raios-X em diversos cristais deste composto discutiremos seus prováveis grupos pontuais. Sabe-se também que há uma relação direta entre os estados de strain e as estruturas de domínios sob condições ambientes de temperatura e pressão. Diversas técnicas espectroscópicas foram empregadas afim de analisar como a estrutura cristalina destes compostos pode variar de acordo com as dimensões de cada cristal. Dessa forma, verificamos a existência de três fases sob condições ambiente, bem como a possibilidade de uma transição de fase espontânea para cristais da ordem de unidades de micrometros quadrados. O comportamento estrutural do Pb8O5(VO4)2 com o aumento de temperatura foi estudado detalhadamente por diversos autores. Eles reportaram a existência de duas transições de fase durante o aquecimento, uma transição de segunda ordem por volta de 440 K e outra de primeira ordem por volta de 520 K. A transição de primeira ordem leva os cristais de Pb8O5(VO4)2 da fase ferroelástica para a fase paraelastica. Contudo, uma vez que cristais ferroelásticos apresentam mudanças de estados de strain espontâneos através da aplicação de stress mecânico, fizemos uso de medidas de espalhamento Raman com aumento de pressão hidrostática em amostras de Pb8O5(VO4)2 para acompanhar o comportamento espectral dos mesmos durante estas variações de pressão. Assim, observamos um fenômeno de amorfização da amostra por volta de 11 GPa e obtivemos fortes indícios de três transições de fase em aproximadamente 1, 3.5 e 6 GPa.

ARAÚJO, Bruno Sousa. Transições de fase induzidas por pressão e tamanho de partícula no ferroelástico Pb8O5(VO4)2. 2014. 79 f. Dissertação (Mestrado em Física) - Programa de Pós-Graduação em Física, Departamento de Física, Centro de Ciências, Universidade Federal do Ceará, Fortaleza, 2014. / Submitted by Edvander Pires (edvanderpires@gmail.com) on 2015-04-09T19:07:17Z No. of bitstreams: 1 2014_dis_bsaraujo.pdf: 4719840 bytes, checksum: 34b47793096a5251b04f1f4121ba3485 (MD5) / Approved for entry into archive by Edvander Pires(edvanderpires@gmail.com) on 2015-04-10T20:49:59Z (GMT) No. of bitstreams: 1 2014_dis_bsaraujo.pdf: 4719840 bytes, checksum: 34b47793096a5251b04f1f4121ba3485 (MD5) / Made available in DSpace on 2015-04-10T20:49:59Z (GMT). No. of bitstreams: 1 2014_dis_bsaraujo.pdf: 4719840 bytes, checksum: 34b47793096a5251b04f1f4121ba3485 (MD5) Previous issue date: 2014 / Ferroelastic compounds are characterized by the possibility to present two or more states of spontaneous strain which could be permuted by application of mechanical stress. Pb8O5(VO4)2 can be classified as belonging to this group. Its crystal structure is not well defined in the literature due to certain adversities found during the data analysis. However, making use of X-ray diffraction in several crystals of this compound we will discuss their probable point groups. It is also known that there is a direct relation between the states of strain and the domains pattern at ambient conditions of temperature and pressure. Several spectroscopic techniques were employed in order to analyze how the crystal structure of these compounds varies according to the dimensions of each crystal. Therefore, we observed the existence of three phases under ambient conditions as well as the possibility of a spontaneous phase transition in crystals of order to units of square micrometers. The structural behavior of Pb8O5(VO4)2 with increasing temperature has been studied in detail by different authors. They reported the existence of two phase transitions on heating, one second-order transition at about 440 K and another first-order around 520 K. The first-order phase transition leads the Pb8O5(VO4)2 crystals of ferroelastic phase to paraelastic phase. However, since ferroelastics crystals show changes of state of spontaneous strain through the application of mechanical stress, we made use of Raman scattering measures with increasing of hydrostatic pressure on samples of Pb8O5(VO4)2 to accompany the spectral behavior of the same during these pressure variations. This way we observed a phenomenon of amorphization of the sample around 11 GPa and obtained strong evidences from three phase transitions at approximately 1, 3.5 and 6 GPa. / Compostos ferroelásticos são caracterizados pela possibilidade de apresentarem dois ou mais estados de deformação ou strain espontâneos devendo haver a possibilidade de permutação entre estes estados através da aplicação de um stress mecânico. O Pb8O5(VO4)2 pode ser classificado como pertencente a este grupo. Sua estrutura cristalina ainda não é bem definida na literatura por conta de certas adversidades encontradas durante as análises das mesmas, no entanto, fazendo uso de difração de raios-X em diversos cristais deste composto discutiremos seus prováveis grupos pontuais. Sabe-se também que há uma relação direta entre os estados de strain e as estruturas de domínios sob condições ambientes de temperatura e pressão. Diversas técnicas espectroscópicas foram empregadas afim de analisar como a estrutura cristalina destes compostos pode variar de acordo com as dimensões de cada cristal. Dessa forma, verificamos a existência de três fases sob condições ambiente, bem como a possibilidade de uma transição de fase espontânea para cristais da ordem de unidades de micrometros quadrados. O comportamento estrutural do Pb8O5(VO4)2 com o aumento de temperatura foi estudado detalhadamente por diversos autores. Eles reportaram a existência de duas transições de fase durante o aquecimento, uma transição de segunda ordem por volta de 440 K e outra de primeira ordem por volta de 520 K. A transição de primeira ordem leva os cristais de Pb8O5(VO4)2 da fase ferroelástica para a fase paraelastica. Contudo, uma vez que cristais ferroelásticos apresentam mudanças de estados de strain espontâneos através da aplicação de stress mecânico, fizemos uso de medidas de espalhamento Raman com aumento de pressão hidrostática em amostras de Pb8O5(VO4)2 para acompanhar o comportamento espectral dos mesmos durante estas variações de pressão. Assim, observamos um fenômeno de amorfização da amostra por volta de 11 GPa e obtivemos fortes indícios de três transições de fase em aproximadamente 1, 3.5 e 6 GPa.

Abstract Ferroelectric/ferroelastic ceramics are used in a range of smart structure applications, such as actuators and sensors due to their electromechanical coupling properties. However, their inherent brittleness makes them susceptible to cracking and understanding their fracture is of prominent importance. A numerical study for a stationary, plane strain crack in a ferroelastic material is performed as part of this work. The stress and strain fields are analyzed using a constitutive law that accounts for the strain saturation, asymmetry in tension versus compression, Bauschinger effects, reverse switching, and remanent strain reorientation that can occur in these materials due to the non-proportional loading that arises near a crack tip. The far-field K-loading is applied using a numerical method developed for two-dimensional cracks allowing for the true infinite boundary conditions to be enforced. The J -integral is computed on various integration paths around the tip and the results are discussed in relation to energy release rate results for growing cracks and for stationary cracks in standard elastic–plastic materials. In addition to the fracture studies, we examine the far field electromechanical loading conditions that favor the formation, existence and evolution of stable needle domain array patterns, using a phase-field modeling approach. Such needle arrays are often seen in experimental imaging of ferroelectric single crystals, where periodic arrays of needle-shaped domains of a compatible polarization variant coexist with a homogeneous single domain parent variant. The infinite arrays of needles are modeled via a representative unit cell and the appropriate electrical and mechanical periodic boundary conditions. A theoretical investigation of the generalized loading conditions is carried out to determine the sets of averaged loading states that lead to stationary needle tip locations. The resulting boundary value problems are solved using a non-linear finite element method to determine the details of the needle shape as well as the field distributions around the needle tips. / text

Abstract Ferroelectric/ferroelastic ceramics are used in a range of smart structure applications, such as actuators and sensors due to their electromechanical coupling properties. However, their inherent brittleness makes them susceptible to cracking and understanding their fracture is of prominent importance. A numerical study for a stationary, plane strain crack in a ferroelastic material is performed as part of this work. The stress and strain fields are analyzed using a constitutive law that accounts for the strain saturation, asymmetry in tension versus compression, Bauschinger effects, reverse switching, and remanent strain reorientation that can occur in these materials due to the non-proportional loading that arises near a crack tip. The far-field K-loading is applied using a numerical method developed for two-dimensional cracks allowing for the true infinite boundary conditions to be enforced. The J -integral is computed on various integration paths around the tip and the results are discussed in relation to energy release rate results for growing cracks and for stationary cracks in standard elastic–plastic materials. In addition to the fracture studies, we examine the far field electromechanical loading conditions that favor the formation, existence and evolution of stable needle domain array patterns, using a phase-field modeling approach. Such needle arrays are often seen in experimental imaging of ferroelectric single crystals, where periodic arrays of needle-shaped domains of a compatible polarization variant coexist with a homogeneous single domain parent variant. The infinite arrays of needles are modeled via a representative unit cell and the appropriate electrical and mechanical periodic boundary conditions. A theoretical investigation of the generalized loading conditions is carried out to determine the sets of averaged loading states that lead to stationary needle tip locations. The resulting boundary value problems are solved using a non-linear finite element method to determine the details of the needle shape as well as the field distributions around the needle tips. / text

The primary focus of this research is to investigate the non-linear behavior of single crystal and polycrystalline relaxor ferroelectric PMN-xPT and PZN-xPT through experimentation and modeling. Characterization of single crystal and polycrystalline specimens with similar compositions was performed. These data give experimental insight into the differences that may arise in a polycrystal due to local interaction with inhomogeneities. Single crystal specimens were characterized with a novel experimental technique that reduced clamping effects at the boundary and gave repeatable results. The measured experimental data was used in conjunction with electromechanical characterizations of other compositions of single crystal specimens with the same crystallographic orientation to study the compositional effects on material properties and phase transition behavior. Experimental characterization provided the basis for the development of a model of the continuous phase transformation behavior seen in PMN-xPT single crystals. In the modeling it is assumed that a spatial chemical and structural heterogeneity is primarily responsible for the gradual phase transformation behavior observed in relaxor ferroelectric materials. The results are used to simulate the effects of combined electrical and mechanical loading. An improved rate-independent micromechanical constitutive model based on the experimental observations of single crystal and polycrystalline specimens under large field loading is also presented. This model accounts for the non-linear evolution of variant volume fractions. The micromechanical model was calibrated using single crystal data. Simulations of the electromechanical behavior of polycrystalline ferroelectric materials are presented. These results illustrate the effects of non-linear single crystal behavior on the macroscopic constitutive behavior of polycrystals.

Conselho Nacional de Desenvolvimento CientÃfico e TecnolÃgico / Compostos ferroelÃsticos sÃo caracterizados pela possibilidade de apresentarem dois ou mais estados de deformaÃÃo ou strain espontÃneos devendo haver a possibilidade de permutaÃÃo entre estes estados atravÃs da aplicaÃÃo de um stress mecÃnico. O Pb8O5(VO4)2 pode ser classificado como pertencente a este grupo. Sua estrutura cristalina ainda nÃo à bem definida na literatura por conta de certas adversidades encontradas durante as anÃlises das mesmas, no entanto, fazendo uso de difraÃÃo de raios-X em diversos cristais deste composto discutiremos seus provÃveis grupos pontuais. Sabe-se tambÃm que hà uma relaÃÃo direta entre os estados de strain e as estruturas de domÃnios sob condiÃÃes ambientes de temperatura e pressÃo. Diversas tÃcnicas espectroscÃpicas foram empregadas afim de analisar como a estrutura cristalina destes compostos pode variar de acordo com as dimensÃes de cada cristal. Dessa forma, verificamos a existÃncia de trÃs fases sob condiÃÃes ambiente, bem como a possibilidade de uma transiÃÃo de fase espontÃnea para cristais da ordem de unidades de micrometros quadrados. O comportamento estrutural do Pb8O5(VO4)2 com o aumento de temperatura foi estudado detalhadamente por diversos autores. Eles reportaram a existÃncia de duas transiÃÃes de fase durante o aquecimento, uma transiÃÃo de segunda ordem por volta de 440 K e outra de primeira ordem por volta de 520 K. A transiÃÃo de primeira ordem leva os cristais de Pb8O5(VO4)2 da fase ferroelÃstica para a fase paraelastica. Contudo, uma vez que cristais ferroelÃsticos apresentam mudanÃas de estados de strain espontÃneos atravÃs da aplicaÃÃo de stress mecÃnico, fizemos uso de medidas de espalhamento Raman com aumento de pressÃo hidrostÃtica em amostras de Pb8O5(VO4)2 para acompanhar o comportamento espectral dos mesmos durante estas variaÃÃes de pressÃo. Assim, observamos um fenÃmeno de amorfizaÃÃo da amostra por volta de 11 GPa e obtivemos fortes indÃcios de trÃs transiÃÃes de fase em aproximadamente 1, 3.5 e 6 GPa. / Ferroelastic compounds are characterized by the possibility to present two or more states of spontaneous strain which could be permuted by application of mechanical stress. Pb8O5(VO4)2 can be classified as belonging to this group. Its crystal structure is not well defined in the literature due to certain adversities found during the data analysis. However, making use of X-ray diffraction in several crystals of this compound we will discuss their probable point groups. It is also known that there is a direct relation between the states of strain and the domains pattern at ambient conditions of temperature and pressure. Several spectroscopic techniques were employed in order to analyze how the crystal structure of these compounds varies according to the dimensions of each crystal. Therefore, we observed the existence of three phases under ambient conditions as well as the possibility of a spontaneous phase transition in crystals of order to units of square micrometers. The structural behavior of Pb8O5(VO4)2 with increasing temperature has been studied in detail by different authors. They reported the existence of two phase transitions on heating, one second-order transition at about 440 K and another first-order around 520 K. The first-order phase transition leads the Pb8O5(VO4)2 crystals of ferroelastic phase to paraelastic phase. However, since ferroelastics crystals show changes of state of spontaneous strain through the application of mechanical stress, we made use of Raman scattering measures with increasing of hydrostatic pressure on samples of Pb8O5(VO4)2 to accompany the spectral behavior of the same during these pressure variations. This way we observed a phenomenon of amorphization of the sample around 11 GPa and obtained strong evidences from three phase transitions at approximately 1, 3.5 and 6 GPa.

Durant ce travail de thèse, nous avons étudié l’effet d’un champ électrique intense (>3 kV.cm-1) sur des matériaux à structures pérovskites, le ferroélastique CaTiO3 et le ferroélectrique BaTiO3. Un tel champ agit comme une force extérieure dans la sélection, l’orientation et la distribution des domaines. Son application durant la croissance modifie la nucléation, le coefficient de partage des espèces et la possible modification du diagramme de phase du matériau considéré. En effet les ions dans un champ électrique voient leur énergie changer ce qui implique un nouvel équilibre thermodynamique. La première partie est dédiée à la croissance cristalline de CaTiO3 lorsque plusieurs paramètres de croissance sont modifiés (vitesse de croissance vG et potentiel électrique V). En faisant varier ces paramètres, nous montrons que nous pouvons contrôler la morphologie du cristal et ainsi altérer l’orientation cristalline des domaines. Des résultats similaires sont retrouvés avec BaTiO3.Plusieurs techniques expérimentales ont été employées dans le but d’étudier la microstructure des composés notamment la microscopie électronique miroir (MEM) et la microscopie électronique à faible énergie (LEEM) afin de caractériser les domaines et parois de domaines à la surface du titanate de calcium. La polarité de ces parois ayant été récemment prouvée, nous avons étudié et comparé le potentiel de surface entre les échantillons qui ont été élaborés sous et sans champ électrique. / In this work, we investigate electric field effect (>3 kV.cm-1) on perovskite compound, CaTiO3 (ferroelastic) and BaTiO3 (ferroelectric). This electric field acts like an external force in selection, orientation and distribution of piezoelectric/ferroelastic domains. The electric field can act on nucleation, the partition coefficient of species and the possible modification phases diagrams of a material during its growth. Indeed ions within an electric field see their energy changing which implies a new thermodynamic equilibrium.In the first part, we discuss about crystal growth of CaTiO3 with different growth parameters (velocity of cristal growth vG, electric potential V). By varying this parameters, we can control crystal shape and can alter the crystalline orientation of domains. Same results are found with BaTiO3.In a second step, we used Mirror Electron Micrsocopy (MEM) and Low Energy Electron Microscopy (LEEM) to caracterize domains walls at the surface of calcium titanate. Polarity of domains walls have been prooved recently, and so we have investigated surface potential between samples grown under or without electric field.