Uma prótese dental quando planejada, tem como objetivo manter o equilíbrio entre saúde e função do sistema estomatognático, preservar suas estruturas, proporcionar estética e conforto ao paciente durante o uso. Portanto, sabendo-se da repercussão que pode causar nos dentes suporte, o planejamento deve ser correto, evitando o estabelecimento de uma patologia mais severa no sistema suporte. O uso de encaixes em PPRs de extremidades livres se justifica pela melhora da estética e satisfação do paciente. A análise fotoelástica é uma técnica experimental para análise de tensões capaz de produzir resultados bastante confiáveis e fiéis aos parâmetros clínicos. Assim o presente estudo teve como objetivo avaliar a força de retenção simulando cinco anos de uso de três diferentes tipos de encaixes extracoronários: ASC 52: resiliente, movimento vertical/rotacional e retenção friccional ajustável; SR 3: semi-rígido, movimento rotacional e retenção friccional/mecânica, Swiss-Ex: rígido, retenção friccional/mecânica e as tensões desenvolvidas nas estruturas de suporte destas próteses. Para avaliar a retenção foi utilizada matriz metálica em Co-Cr, representando um hemi-arco inferior parcialmente desdentado com os dentes remanescentes 43/44 preparados para coroas totais e ausência dos dentes 45/46/47. Foram fundidas coroas totais em Ni-Cr com machos dos encaixes na distal do dente 44. Estruturas de PPR foram fundidas e as fêmeas dos encaixes capturadas. O total de corpos-de-prova foi 18 (6 por tipo de encaixe). Foram realizados 7205 ciclos de inserção/remoção a 20 ciclos/min, com o conjunto imerso em água deionizada (±37º C). Foram observados os valores de força (N) para t=0, ½, 1, 2, 3, 4 e 5 anos. Para análise estatística foi utilizado o modelo linear de efeitos mistos (efeitos aleatórios e fixos) que é utilizado na análise de dados onde as respostas de um mesmo corpo-de-prova estão agrupadas e a suposição de independência entre as observações num mesmo grupo não é adequada. O ajuste do modelo foi feito através do procedimento PROC MIXED do software SAS® 9.1. Houve diferença estatística significante (p=0,000) entre os grupos: ASC52(8,15±1,12N); SR 3(3,84±1,80N); Swiss-Ex(2,05±0,83N). Avaliando os tempos não houve diferença significante entre os encaixes ASC 52 e Swiss-Ex. Para o SR 3 a força diminuiu ao longo dos tempos. O ASC 52 proporcionou maior estabilidade na prótese e manteve a capacidade retentiva durante os 5 anos simulados. Para análise fotoelástica foi confeccionado um modelo mestre em plexiglass representando um hemi-arco inferior de extremidade livre com os dentes 43 e 44 preparados para coroa total e ausência do 45, 46 e 47. Foram fundidas coroas totais em Ni-Cr com machos dos encaixes na distal do dente 44. Estruturas de PPR foram fundidas e as fêmeas dos encaixes capturadas. Sobre a sela foram montados os dentes artificiais 45 e 46. Posicionou-se os dentes 43 e 44 preparados e com as raízes simulando o ligamento periodontal no molde do modelo mestre e verteu-se resina fotoelástica. As análises foram realizadas em 3 diferentes aplicações de força (15N) nas distais: pontual no dente 45 e 46 e simultânea nos dentes 44 e 46. Os encaixes semi-rígido e resiliente ciclados geraram mais tensão nos pontos mais distais localizados no rebordo e a aplicação de carga pontual na distal do dente 46 foi a que gerou menos tensão nos dentes pilares para todos os encaixes novos e ciclados. Projeto FAPESP 05/58363-5 / A planned dental prosthesis aims to maintain the balance between health and function of the stomatognathic system, preserving its structures, providing aesthetics and patient comfort during use. Therefore, knowing the repercussions that may result on the support teeth, it must be correctly planned to avoid the establishment of a more severe pathology in the support system. The use of distal-extension removable partial dentures with attachments is justified by the improved aesthetics and patient satisfaction. The photoelastic analysis is an experimental technique for analysis of stresses capable of producing reliable and faithful results to clinical parameters. Thus, this study aimed to evaluate the retention force of three different extracoronal attachments simulating five years of use: ASC 52: resilient, vertical/rotational movement and adjustable fictional retention; SR 3: semi-rigid, rotational movement and frictional/mechanical retention; Swiss-Ex: rigid, frictional/mechanical retention and the stresses developed in the support structures of these prostheses. To assess the retention a partially edentulous metallic matrix Co-Cr representing a lower hemi-ach was used with teeth 43/44 remaining prepared for crowns and lacking teeth 45/46/47. Crowns were cast in Ni-Cr, with male attachments on the distal of tooth 44. PPR structures were merged and the female attachments captured. The total sample was 18 (6 for each type). A total of 7205 cycles of insertion/removal were performed at 20 cycles/min with the set submerged in deionized water (±37°). Force values (N) for t = 0, ½, 1, 2, 3, 4, and 5 years were observed. The linear mixed effects model (random and fixed effects) that is used in data analysis where the responses of the same sample are grouped and the assumption of independence of observations within the same group is not appropriate was used for statistical analysis. The model adjustment was done using the PROC MIXED procedure of the SAS® 9.1 software. There was a significant difference (p =0,000) between groups: ASC 52 (8,15 ± 1,12N); SR 3 (3,84 ± 1,80N); Swiss-Ex (2,05 ± 0,83N). There was no significant difference in the time evaluation between the attachments ASC 52 and Swiss-Ex. The SR 3 force decreased over time. The ASC 52 provided greater stability and maintained the retentive capacity over the 5 year simulation. A Plexiglas master model representing a distal extension hemi-arch inferior with teeth 43 and 44 prepared for crowns and absence of teeth 45, 46 and 47 was made for photoelastic analysis. Crowns were cast in Ni-Cr, with male attachments on the distal of tooth 44. PPR structures were merged and the female attachments captured. Artificial teeth 45 and 46 were mounted on the saddle. Prepared teeth 43 and 44 with roots simulating the periodontal ligament were positioned in the master model and the photoelastic resin was poured. Analyses were performed in three different applications of force (15N) in the distal: specific on teeth 45 and 46 and simultaneously on teeth 44 and 46. Cycled semirigid and resilient attachments generated more tension on the most distal points located at the edge and load application on the distal of tooth 46 was the one that generated the least stress on the abutment teeth for all attachments, new and cycled.

O objetivo desta pesquisa foi avaliar as áreas de tensões produzidas por arcos ortodônticos expandidos associados a diferentes tipos de bráquetes durante a fase de alinhamento e nivelamento ortodôntico. A partir de modelos de gesso adquiridos durante a fase de nivelamento ortodôntico do arco dentário inferior de um mesmo paciente, obteve-se 3 modelos fotoelásticos que receberam 3 diferentes tipos de bráquetes: convencional (Ovation®, GAC International, New York, EUA), autoligável ativo (In-Ovation®, GAC International, New York, EUA) e autoligável passivo (Damom 3MX®, Ormco, Califórnia, EUA), associados a arcos de liga de níquel-titânio 0.014\" e 0.014\" x 0.025\" e de liga de aço 0.019\" x 0.025\". Os modelos fotoelásticos com os respectivos arcos e bráquetes ortodônticos foram observados em polariscópio circular, e as imagens fotográficas das regiões dos incisivos, pré-molares e molares foram analisadas qualitativa e quantitativamente. A análise qualitativa foi realizada pela identificação da ordem e coloração das franjas nos locais onde ocorreram, e a quantitativa foi realizada utilizando o software Matlab® para a identificação dos padrões de cores RGB nas áreas dos terços médio-apicais dos dentes de cada região. Os dados obtidos das diferentes associações arcos/bráquetes ortodônticos foram comparados estatisticamente pelo teste de Wilcoxon. Pode-se concluir que, na região dos incisivos, as maiores tensões ocorreram quando os arcos ortodônticos foram associados aos bráquetes autoligados passivos. Na região dos pré-molares, as maiores tensões ocorreram quando o arco 0.014\" foi associado ao bráquete convencional, em movimentos de segunda ordem (extrusão) e de angulação, e quando os arcos retangulares foram associados aos bráquetes autoligados passivos. Na região dos molares, as maiores tensões ocorreram quando os arcos retangulares foram associados aos tubos ortodônticos com maior prescrição de inclinação (Ovation® e In-Ovation®). / The aim of this research was to evaluate the areas of tension produced by expanded orthodontic arches associated with different types of brackets during the orthodontic leveling phase. From plaster models of a single patient lower dental arch obtained during the orthodontic alignment and leveling phase, three photoelastic models were developed that received three different types of brackets: convencional (Ovation®, GAC International, New York, EUA); active self ligation bracktes (In-Ovation®, GAC International, New York, EUA) e passive self ligation bracktes (Damom 3MX®, Ormco, Califórnia, EUA), associated with 0.014\" and 0.014\" ? 0.025\" titanium-nickel alloy arches and 0.019\" ? 0.025\" alloy steel arches. These models were analyzed in a circular polariscope; photographic images of the incisor, premolar, and molar regions were qualitatively and quantitatively analyzed. The first analysis was obtained by identifying the photoelastic fringe order at sites where they occurred, and the second one was obtained using Matlab® software to identify RGB color patterns in middle apical tooth areas of each region. Data from the different orthodontic arches and brackets were compared using the Wilcoxon test. Our results showed that in the incisors region the greatest tensions occurred when the orthodontic arches were associated to the self-ligating passive brackets; in the premolars region, by the association of the 0.014\" arch and conventional bracket in second order (extrusion) and angulation movements and when the rectangular arches were associated with the passive self-ligating brackets. The greatest tensions in the molar regions occurred by association of rectangular arches and inclination high prescriptions orthodontics tubes (Ovation® and In-Ovation®).

Este trabalho teve a finalidade de avaliar pela técnica fotoelástica, o efeito que a prótese parcial removível teria, em aliviar as tensões sobre as raízes dos dentes. Para tanto preparamos um modelo com três tipos de desenhos de próteses parciais removíveis, simulando uma reabilitação nas grandes perdas de maxila. Todos os modelos de desenhos apresentaram planos guias em incisivo central e segundo molar, e se diferenciaram da seguinte forma: modelo 01, grampo circunferencial simples em canino, grampo gêmeo entre primeiro e segundo pré-molar e grampo gêmeo entre primeiro e segundo molar; modelo 02, utilizamos os mesmos grampos colocados no modelo 01 incluindo neste modelo um recobrimento palatino, modelo 03, grampo gêmeo entre canino e primeiro pré-molar, grampo gêmeo entre segundo pré-molar e primeiro molar e grampo circunferencial simples em mesial de segundo molar. Foram aplicadas cargas verticais de 10 kg, 15 kg e 20 kg em canino, segundo pré-molar e primeiro molar. Os resultados permitiram concluir que: Os planos guia comprovaram sua efetividade através do contato pleno nos dentes preparados para o seu assentamento. O recobrimento palatino não amenizou as cargas nas raízes dos dentes. Os grampos gêmeos, colocados em uma posição mais anterior, indicam uma distribuição melhor das tensões. Os grampos circunferenciais simples, colocados mais posteriormente, indicam uma melhor distribuição das tensões. Os modelos 01 e 02 apresentaram maiores tensões em incisivo central comparados com o modelo 03. O modelo 03 foi o que melhor distribuiu as cargas de forma mais equilibrada mostrando tensões de menor magnitude. Os melhores modelos de próteses parciais removíveis, pela perspectiva de transferência de tensão foram primeiramente o modelo 03, depois o modelo 01 e por fim o modelo 02. A mudança do desenho da PPR alterou a distribuição das tensões nos dentes dos modelos avaliados. / This study aimed to evaluate by the photoelastic technique, the effect that the partial denture would have to reduce tensions on the roots of teeth. For this reason, was prepared a model with three types of removable partial dentures designs, simulating rehabilitations in large ressections of maxilla. All models presents guide-planes on central incisor and second molar, and was differentiated as follows: Model 01, simple circumferential clasp in canine, twin clasps between first and second premolar and twin clasps between first and second molar; model 02, we use the same clasps as model 01 only including a palatal covering in this model, model 03, twin clasps between canine and first premolar, twin clasps between second premolar and first molar and simple circumferential clasp at mesial of second molar. Were applied vertical loads of 10 kg, 15 kg and 20 kg in canine, second premolar and first molar. The results showed that: The guide-planes proved its effectiveness through full contact in the teeth prepared for their settlement. The palatal covering failed to alleviate the stress on the roots of teeth. Twins clasps, placed in a more anterior position, indicating a better distribution of stresses. Simple circunferencial clasp, placed in a more posterior position indicating a better distribution of stresses. Models 01 and 02 had higher tensions in central incisor compared with the model 03. The Model 03 was the best considering equilibrated load distribution showing stress of lesser magnitude. The best models of removable partial dentures, from the perspective of stress transfer were first model 03, followed by the model 01 and then finally the model 02. The change os design of RPD changed the distributions os tensions in teeth of evaluated models.

Uma prótese dental quando planejada, tem como objetivo manter o equilíbrio entre saúde e função do sistema estomatognático, preservar suas estruturas, proporcionar estética e conforto ao paciente durante o uso. Portanto, sabendo-se da repercussão que pode causar nos dentes suporte, o planejamento deve ser correto, evitando o estabelecimento de uma patologia mais severa no sistema suporte. O uso de encaixes em PPRs de extremidades livres se justifica pela melhora da estética e satisfação do paciente. A análise fotoelástica é uma técnica experimental para análise de tensões capaz de produzir resultados bastante confiáveis e fiéis aos parâmetros clínicos. Assim o presente estudo teve como objetivo avaliar a força de retenção simulando cinco anos de uso de três diferentes tipos de encaixes extracoronários: ASC 52: resiliente, movimento vertical/rotacional e retenção friccional ajustável; SR 3: semi-rígido, movimento rotacional e retenção friccional/mecânica, Swiss-Ex: rígido, retenção friccional/mecânica e as tensões desenvolvidas nas estruturas de suporte destas próteses. Para avaliar a retenção foi utilizada matriz metálica em Co-Cr, representando um hemi-arco inferior parcialmente desdentado com os dentes remanescentes 43/44 preparados para coroas totais e ausência dos dentes 45/46/47. Foram fundidas coroas totais em Ni-Cr com machos dos encaixes na distal do dente 44. Estruturas de PPR foram fundidas e as fêmeas dos encaixes capturadas. O total de corpos-de-prova foi 18 (6 por tipo de encaixe). Foram realizados 7205 ciclos de inserção/remoção a 20 ciclos/min, com o conjunto imerso em água deionizada (±37º C). Foram observados os valores de força (N) para t=0, ½, 1, 2, 3, 4 e 5 anos. Para análise estatística foi utilizado o modelo linear de efeitos mistos (efeitos aleatórios e fixos) que é utilizado na análise de dados onde as respostas de um mesmo corpo-de-prova estão agrupadas e a suposição de independência entre as observações num mesmo grupo não é adequada. O ajuste do modelo foi feito através do procedimento PROC MIXED do software SAS® 9.1. Houve diferença estatística significante (p=0,000) entre os grupos: ASC52(8,15±1,12N); SR 3(3,84±1,80N); Swiss-Ex(2,05±0,83N). Avaliando os tempos não houve diferença significante entre os encaixes ASC 52 e Swiss-Ex. Para o SR 3 a força diminuiu ao longo dos tempos. O ASC 52 proporcionou maior estabilidade na prótese e manteve a capacidade retentiva durante os 5 anos simulados. Para análise fotoelástica foi confeccionado um modelo mestre em plexiglass representando um hemi-arco inferior de extremidade livre com os dentes 43 e 44 preparados para coroa total e ausência do 45, 46 e 47. Foram fundidas coroas totais em Ni-Cr com machos dos encaixes na distal do dente 44. Estruturas de PPR foram fundidas e as fêmeas dos encaixes capturadas. Sobre a sela foram montados os dentes artificiais 45 e 46. Posicionou-se os dentes 43 e 44 preparados e com as raízes simulando o ligamento periodontal no molde do modelo mestre e verteu-se resina fotoelástica. As análises foram realizadas em 3 diferentes aplicações de força (15N) nas distais: pontual no dente 45 e 46 e simultânea nos dentes 44 e 46. Os encaixes semi-rígido e resiliente ciclados geraram mais tensão nos pontos mais distais localizados no rebordo e a aplicação de carga pontual na distal do dente 46 foi a que gerou menos tensão nos dentes pilares para todos os encaixes novos e ciclados. Projeto FAPESP 05/58363-5 / A planned dental prosthesis aims to maintain the balance between health and function of the stomatognathic system, preserving its structures, providing aesthetics and patient comfort during use. Therefore, knowing the repercussions that may result on the support teeth, it must be correctly planned to avoid the establishment of a more severe pathology in the support system. The use of distal-extension removable partial dentures with attachments is justified by the improved aesthetics and patient satisfaction. The photoelastic analysis is an experimental technique for analysis of stresses capable of producing reliable and faithful results to clinical parameters. Thus, this study aimed to evaluate the retention force of three different extracoronal attachments simulating five years of use: ASC 52: resilient, vertical/rotational movement and adjustable fictional retention; SR 3: semi-rigid, rotational movement and frictional/mechanical retention; Swiss-Ex: rigid, frictional/mechanical retention and the stresses developed in the support structures of these prostheses. To assess the retention a partially edentulous metallic matrix Co-Cr representing a lower hemi-ach was used with teeth 43/44 remaining prepared for crowns and lacking teeth 45/46/47. Crowns were cast in Ni-Cr, with male attachments on the distal of tooth 44. PPR structures were merged and the female attachments captured. The total sample was 18 (6 for each type). A total of 7205 cycles of insertion/removal were performed at 20 cycles/min with the set submerged in deionized water (±37°). Force values (N) for t = 0, ½, 1, 2, 3, 4, and 5 years were observed. The linear mixed effects model (random and fixed effects) that is used in data analysis where the responses of the same sample are grouped and the assumption of independence of observations within the same group is not appropriate was used for statistical analysis. The model adjustment was done using the PROC MIXED procedure of the SAS® 9.1 software. There was a significant difference (p =0,000) between groups: ASC 52 (8,15 ± 1,12N); SR 3 (3,84 ± 1,80N); Swiss-Ex (2,05 ± 0,83N). There was no significant difference in the time evaluation between the attachments ASC 52 and Swiss-Ex. The SR 3 force decreased over time. The ASC 52 provided greater stability and maintained the retentive capacity over the 5 year simulation. A Plexiglas master model representing a distal extension hemi-arch inferior with teeth 43 and 44 prepared for crowns and absence of teeth 45, 46 and 47 was made for photoelastic analysis. Crowns were cast in Ni-Cr, with male attachments on the distal of tooth 44. PPR structures were merged and the female attachments captured. Artificial teeth 45 and 46 were mounted on the saddle. Prepared teeth 43 and 44 with roots simulating the periodontal ligament were positioned in the master model and the photoelastic resin was poured. Analyses were performed in three different applications of force (15N) in the distal: specific on teeth 45 and 46 and simultaneously on teeth 44 and 46. Cycled semirigid and resilient attachments generated more tension on the most distal points located at the edge and load application on the distal of tooth 46 was the one that generated the least stress on the abutment teeth for all attachments, new and cycled.

O objetivo deste estudo foi avaliar a distribuição de tensões na região peri-implantar de próteses fixas unitárias cimentadas com conexões protéticas em hexágono externo (HE), hexágono interno (HI) e cone morse (CM), substituindo o 2° pré-molar mandibular; utilizando análise fotoelástica. Foram confeccionados 3 modelos fotoelásticos com implantes de diferentes conexões protéticas (HE, HI e CM) suportando coroas metalocerâmicas unitárias, com dentes adjacentes (1° molar e 1° pré-molar mandibular). Foram aplicados 2 tipos de cargas com diferentes intensidades, oclusal fisiológica (15, 20 e 25 Kgf) e pontual (10 e 15 Kgf) na fossa mesial das coroas implantossuportadas. As imagens obtidas foram inseridas no programa Fringes® (Laboratório de Projetos Mecânicos, Universidade Federal de Uberlândia, Uberlândia, Brasil), e selecionados 12 pontos a serem analisados. Foram realizadas análises quantitativa e qualitativa das tensões observadas. Os resultados das tensões (KPa) medias da região peri-implantar, para cada tipo e intensidade de carga, foram: Cargas fisiológicas: 1) 15 Kgf: HE 107,42; HI 88,81; CM 182,63; 2) 20 Kgf: HE 185,60; HI 123,77; CM 226,44; e 3) 25 Kgf: HE 207,90; HI 176,88; CM 320,65; Cargas pontuais: 1) 10 Kgf: HE 115,94; HI 108,14; CM 64,78; e 2) 15 Kgf: HE 147,25; HI 143,88; CM 177,87. Foi observado que para os carregamentos fisiológicos a HI apresentou os menores valores de tensão e melhor distribuição entre implante e dentes adjacentes; a CM apresentou os maiores valores de tensão, contudo a distribuição entre implante e dentes adjacentes também foi adequada; a HE mostrou a distribuição menos favorável com tensões na crista mesial do implante. Nos carregamentos pontuais a CM apresentou melhor distribuição de tensões ao longo do implante seguido pela HI e HE. Conclui-se que a distribuição de tensões foi influenciada pelo tipo de conexão protética; sendo que as tensões foram melhor distribuídas na carga oclusal fisiológica. O HI apresentou melhor distribuição de tensões para a carga fisiológica e o CM para a carga pontual, evidenciando melhor desempenho das conexões internas / This study aimed to evaluate the peri-implant stress fields generated from 3 different implant- abutment interfaces external hexagon (EH), internal hexagon (IH) and morse taper (MT); supporting single crowns corresponding to the 2nd mandibular pré-molar via photoelastic analysis. 3 photoelastic models with different implant-abutment connections (HE, HI, CM) supporting metal-ceramic single crowns with adjacent teeth (mandibular 1st molar and 2nd pre-molar) were fabricated. The models were submitted to different loads: physiologic occlusion (15, 20, 25Kgf) and punctual (10, 15Kgf) in the implant-supported crown at the mesial fossa region. The images obtained were inserted in the software Fringes® (Laboratório de Projetos Mecânicos, Universidade Federal de Uberlândia, Uberlândia, Brasil). The maximum stresses were determined and observed at 12 selected points, qualitative and quantitative analysis were performed. The results of the stress (KPa) average of peri-implant regions with the 2 different loads and their respective intensities (Kgf) were: Physiologic occlusion: 1) 15 Kgf: HE 107,42; HI 88,81; CM 182,63; 2) 20 Kgf: HE 185,60; HI 123,77; CM 226,44; and 3) 25 Kgf: HE 207,90; HI 176,88; CM 320,65; Punctual loads: 1) 10 Kgf: HE 115,94; HI 108,14; CM 64,78; and 2) 15 Kgf: HE 147,25; HI 143,88; CM 177,87. With the physiological load the IH showed the lowest stress values and a favorable distribution among implant and adjacent teeth; the MT showed the highest stress values, however a favorable distribution with the adjacent teeth; the EH showed stress values in the cervical mesial point of the implant. For the punctual load the MT showed the best stress distribution within the implant, followed by the IH and EH. It was concluded that stress patterns were influenced by the connection design and were more favorable with the physiological occlusion load for all connections. The IH showed better stress distribution with the physiological occlusion load and the MT with the punctual load, showing better performance for internal connections

Uniões por prendedores são elementos amplamente utilizados na indústria aeronáutica para a união de partes constituintes da aeronave. Contudo, devido à sua geometria e aos carregamentos sofridos, estes elementos estão frequentemente sujeitos a falhas por fadiga. Assim, para um projeto e dimensionamento bem executado dessas juntas, é necessário conhecer seu comportamento mecânico e o campo de tensões ao qual estão sujeitas. O método dos elementos finitos certamente atende a estas necessidades; porém, o uso de elementos sólidos tridimensionais para a representação destas uniões pode levar a análises demasiadamente demoradas e custosas, sendo desejável o uso de modelos mais simplificados. Nesse trabalho, juntas de topo assimétricas são modeladas pelo método dos elementos finitos, utilizando tanto elementos sólidos tridimensionais quanto elementos de casca, com o objetivo de encontrar um modelo relativamente simples que apresente resultados satisfatórios e requeira um menor tempo de solução. Os resultados numéricos obtidos são comparados com resultados experimentais, que utilizam extensômetros e fotoelasticidade. / Riveted joints are structural elements widely used in the aeronautic industry to connect different parts of the aircraft. However, due to their geometry and working load, they are frequently subjected to fatigue failure. Therefore, to a well executed project of this type of joint, it is necessary to understand the mechanical behavior and the stress field to which they are subjected. The finite element method can certainly answer those needs; however, the use of tridimensional elements to represent this type of joint can lead to time consuming and expensive analysis, being desirable the use of simpler models. In this work, asymmetric butt joints are modeled using the finite element method using both, tridimensional and shell elements, with the objective of finding a model that provides satisfactory results at smaller solution time. The numerical results obtained are compared with experimental results using strain gage and photoelastic procedures.

Rich tomography is becoming increasingly popular since we have seen a substantial increase in computational power and storage. Instead of measuring one scalar for each ray, multiple measurements are needed per ray for various imaging modalities. This advancement has allowed the design of experiments and equipment which facilitate a broad spectrum of applications. We present new reconstruction results and methods for several imaging modalities including x-ray diffraction strain tomography, Photoelastic tomography and Polarimet- ric Neutron Magnetic Field Tomography (PNMFT). We begin with a survey of the Radon and x-ray transforms discussing several procedures for inversion. Furthermore we highlight the Singular Value Decomposition (SVD) of the Radon transform and consider some stability results for reconstruction in Sobolev spaces. We then move onto define the Non-Abelian Ray Transform (NART), Longitudinal Ray Transform (LRT), Transverse Ray Transform (TRT) and the Truncated Trans- verse Ray Transform (TTRT) where we highlight some results on the complete inver- sion procedure, SVD and mention stability results in Sobolev spaces. Thereafter we derive some relations between these transforms. Next we discuss the imaging modali- ties in mind and relate the transforms to their specific inverse problems, primarily being linear. Specifically, NART arises in the formulation of PNMFT where we want to im- age magnetic structures within magnetic materials with the use of polarized neutrons. After some initial numerical studies we extend the known Radon inversion presented by experimentalists, reconstructing fairly weak magnetic fields, to reconstruct PNMFT data up to phase wrapping. We can recover the strain field tomographically for a polycrystalline material using diffraction data and deduce that a certain moment of that data corresponds to the TRT. Quite naturally the whole strain tensor can be reconstructed from diffraction data measured using rotations about six axes. We develop an innovative explicit plane-by-plane filtered back-projection reconstruction algorithm for the TRT, using data from rotations about three orthogonal axes and state the reasoning why two- axis data is insufficient. For the first time we give the first published results of TRT reconstruction. To complete our discussion we present Photoelastic tomography which relates to the TTRT and implement the algorithm discussing the difficulties that arise in reconstructing data. Ultimately we return to PNMFT highlighting the nonlinear inverse problem due to phase wrapping. We propose an iterative reconstruction algorithm, namely the Modified Newton Kantarovich method (MNK) where we keep the Jacobian (Fréchet derivative) fixed at the first step. However, this is shown to fail for large angles suggesting to develop the Newton Kantarovich (NK) method where we update the Jacobian at each step of the iteration process.

Cette thèse porte sur la force de résistance au mouvement à faible vitesse d'un objet (sphère, cylindre ou disque) dans un empilement de grains dense et sec. Des expériences ont été menées sur deux dispositifs permettant un mouvement à vitesse contrôlée, en s’intéressant à l’influence des tailles des objets et des grains, des conditions aux limites de l’empilement, de la gravité, et d’une éventuelle vibration de l’empilement. Dans un premier dispositif expérimental permettant un mouvement vertical, nous avons consacré une partie importante de ce travail à l'étude de la forte asymétrie de la force lors de cycles de pénétration/extraction d’un cylindre horizontal et d’une sphère. Pour tenter de comprendre l'origine de cette asymétrie, différentes conditions aux limites ont été considérées : parois rigides ou souples sur les côtés ou au fond de l’empilement, surface libre ou surmontée d’un couvercle plus ou moins chargé en haut de l’empilement. La longueur caractéristique issue du champ de vitesse des grains autour d'un cylindre a été montrée comme la longueur pertinente à considérer pour le confinement latéral, ainsi que pour les déformations de la surface libre telles que la formation d’un cratère consécutif à la pénétration ou d’une bosse lors de l’extraction. Ces déformations peuvent être retrouvées par intégration d’un modèle de champ de vitesse autour de l’objet. La présence d'un couvercle chargé a par ailleurs permis de mettre en évidence une riche et complexe variété de comportements, notamment en extraction où la force ne diminue plus avec la profondeur de l’objet. Dans un second dispositif permettant le mouvement horizontal d’un gros disque intrus à l’intérieur d’une couche de petits disques photoélastiques vibrés ou non, nous avons mesuré la force globale sur l’intrus et visualisé les distributions de contraintes au sein du milieu granulaire. Au-delà des importantes fluctuations spatio-temporelles, des valeurs moyennes de force sur l’intrus et des tenseurs locaux de contraintes et taux de déformations autour de l’intrus ont pu être obtenus, dans la perspective d’établir une loi de comportement locale pour le milieu. La vibration de la couche de grains a été montré pouvoir changer considérablement la dépendance de la force avec la vitesse de l’intrus, avec un effet de fluidification du milieu. / This thesis focuses on the force of resistance to the slow motion of an object (sphere, cylinder or disk) in a dense and dry granular medium. Experiments were conducted using two devices that permitted movement at constant velocity, with the aim of studying the influence of the object size, the grain size, the boundary conditions, and vibration of the grains. Using the first device in which the object moved vertically, we studied in detail the strong asymmetry of the resistance force during cycles of penetration/withdrawal of a horizontal cylinder and a sphere. In an attempt to understand the origin of this asymmetry, we implemented different boundary conditions: rigid and deformable walls on the sides and/or the bottom of the device, and free and quasi-rigid (loaded cover) conditions at the top. Previous work has shown that the characteristic length scale of the velocity field around a moving cylinder is the relevant length for both the lateral confinement and the deformation of the free surface, such as the formation of a crater during penetration or a mound during withdrawal. These deformation fields can be found by integrating a model of the velocity field around the object. Our use of a loaded-cover boundary condition has also revealed a variety of complex behaviors, including a force that no longer decreases with the depth of the object during the withdrawal phase. The second device allows the horizontal movement of a large hard intruder into a monolayer of small photoelastic disks which could be vibrated or not. Using this, we measured the overall force on the intruder and visualized the stress distribution in the granular medium. We were able to measure not only the large spatio-temporal velocity fluctuations, but also average values of the force on the intruder and the local stress and strain rate tensors around it, which allowed us to determine a local constitutive law for the medium. Finally, we have shown that vibration of the grains significantly changes the dependence of the force on the intruder speed, indicating a fluidization effect.

The goal of this research was to investigate an experimental infrared transmission technique to extract the full stress components of the in-plane residual stresses in thin multi crystalline silicon wafer, and try to meet the need of photovoltaic industry to in situ measure residual stress for large cast wafers.

Granular materials are composed of solid, discrete particles and exhibit mechanical behavior that differs from those of fluids and solids. The rheology of granular flows is principal to a suite of natural hazards. Laboratory experiments and numerical models have adequately reproduced several features observed in terrestrial gravity driven geophysical flows; however, quantitative comparison to field observations exposes a failure to explain the high mobility and duration of many of these flows. The ability of a granular material to resist deformation is a function of the force chain network inherent to the material. This investigation addresses the evolutionary character of force chains in unconfined, two-dimensional, gravity driven granular flows. Our particular emphasis concerns the effects of stress localization on the substrate by dynamic force chain evolution and the implications for bed erosion in dense granular flows. Experimental systems employing photoelastic techniques provide an avenue for quantitative force analysis via image processing and provide dataset that can be used validate discrete element modeling approaches. We show that force chains cause extreme bed force localization throughout dynamic granular systems in spatial and temporal space; and that these localized forces can propagate extensively into the substrate, even ahead of the flow front.