Made available in DSpace on 2014-06-11T19:24:08Z (GMT). No. of bitstreams: 0 Previous issue date: 2002-02-25Bitstream added on 2014-06-13T18:20:14Z : No. of bitstreams: 1 oliveira_lca_me_arafo.pdf: 6998958 bytes, checksum: 84e0be5fadd238e2fd976b220d028362 (MD5) / Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) / Neste trabalho é proposto analisar a distribuição de tensões produzidas na dentina radicular do incisivo central superior restaurado com diferentes sistemas de pinos intra-radiculares, através dos Métodos de Fotoelasticidade e Elementos Finitos. Esta análise foi realizada para os seguintes sistemas de pinos intra-radiculares: fibra de carbono, fibra de vidro, zircônio, aço inoxidável, titânio e metálico fundido (Liga de Cu-Al), o dente hígido foi utilizado como controle. Em ambos método foi construído um modelo bidimensional representativo do incisivo central superior e aplicada uma carga de 100 N no terço incisal da região palatina com um inclinação de 45º em relação aoa longo eixo do dente. Os resultados foram expressos em função da Tensão de Von Mises - Se e Sy, e valor da Ordem de Franja, para o Método de Elementos Finitos e Fotoelasticidade, respectivamente. Através da análise dos resultados, concluiu-se que houve diferenças significativas na distribuição de tensão entre os seis sistemas de pinos testados, sendo que, os pinos de zircônio, aço inoxidável, titânio e metálico fundido, promoveram uma alta concentração de tensões na região conduto radicular ao longo da interface pino/dentina. Nos pinos de fibra de vidro e fibra de carbono houve uma distribuição de tensões uniforme ao longo de toda a superfície radicular, não se verificou áreas de concentração de tensões produzidas por estes sistemas de pinos. Os pinos de zircônio, aço inoxidável, titânio e metálico fundido apresentaram propriedades mecânicas diferentes da estrutura dental, promovendo alterações significativas no comportamento mecânico do dente. De acordo com estes resultados, concluímos que os pinos não metálicos atendem de maneira satisfatória os requisitos necessários para proporcionarem um comportamento mais semelhante à estrutura dental, a compatibilidade... . / This work proposes a study about the distribution of mechanical stresses in the radicular dentin of restored with different posts systems, by means of the photoelastic and the finite element techniques. This analysis is conducted for the following posts systems: carbon fiber, fiberglass, zirconium, stainless steel, titanium and cast metal (Cu-Al alloy) and the healthy tooth (control). For this purpose, representative two-dimensional models of the central upper incisor are built for both methods. These models are subject to a 100N load applied at the tip of the crown, at 45º from the axle along the tooth. The results are expressed in terms of the Von Mises and Sy stresses and the fringe order, for the finite element and photoelastic methods, respectively. Through the analysis of these results, it can be concluded that significant stress distribution differences arise between the six different pin systems tested, so that those made of zirconium, stainless steel, titanium and cast metal produced high stress concentration at the post/dentin interface region. In the cases of the carbon fiber and fiberglass pins, on the other hand, the stress distribution along the radicular surface is uniform, lacking stress concentration areas. The zirconium, stainless steel, titanium and cast metal pins present mechanical properties which are different from those of the tooth structure, resulting in significant alterations over the mechanical behavior of the dental structure. The non-metallic pins comply more satisfactorily with the requirements necessary to provide a mechanical behavior more similar to that of the dental structure, the compatibility among the mechanical properties found in these system and the dentin providing a biomimetic behavior, reducing the risk of failure or root fractures.

Resumo: Neste trabalho é proposto analisar a distribuição de tensões produzidas na dentina radicular do incisivo central superior restaurado com diferentes sistemas de pinos intra-radiculares, através dos Métodos de Fotoelasticidade e Elementos Finitos. Esta análise foi realizada para os seguintes sistemas de pinos intra-radiculares: fibra de carbono, fibra de vidro, zircônio, aço inoxidável, titânio e metálico fundido (Liga de Cu-Al), o dente hígido foi utilizado como controle. Em ambos método foi construído um modelo bidimensional representativo do incisivo central superior e aplicada uma carga de 100 N no terço incisal da região palatina com um inclinação de 45º em relação aoa longo eixo do dente. Os resultados foram expressos em função da Tensão de Von Mises - Se e Sy, e valor da Ordem de Franja, para o Método de Elementos Finitos e Fotoelasticidade, respectivamente. Através da análise dos resultados, concluiu-se que houve diferenças significativas na distribuição de tensão entre os seis sistemas de pinos testados, sendo que, os pinos de zircônio, aço inoxidável, titânio e metálico fundido, promoveram uma alta concentração de tensões na região conduto radicular ao longo da interface pino/dentina. Nos pinos de fibra de vidro e fibra de carbono houve uma distribuição de tensões uniforme ao longo de toda a superfície radicular, não se verificou áreas de concentração de tensões produzidas por estes sistemas de pinos. Os pinos de zircônio, aço inoxidável, titânio e metálico fundido apresentaram propriedades mecânicas diferentes da estrutura dental, promovendo alterações significativas no comportamento mecânico do dente. De acordo com estes resultados, concluímos que os pinos não metálicos atendem de maneira satisfatória os requisitos necessários para proporcionarem um comportamento mais semelhante à estrutura dental, a compatibilidade... (Resumo completo, clicar acesso eletrônico abaixo). / Abstract: This work proposes a study about the distribution of mechanical stresses in the radicular dentin of restored with different posts systems, by means of the photoelastic and the finite element techniques. This analysis is conducted for the following posts systems: carbon fiber, fiberglass, zirconium, stainless steel, titanium and cast metal (Cu-Al alloy) and the healthy tooth (control). For this purpose, representative two-dimensional models of the central upper incisor are built for both methods. These models are subject to a 100N load applied at the tip of the crown, at 45º from the axle along the tooth. The results are expressed in terms of the Von Mises and Sy stresses and the fringe order, for the finite element and photoelastic methods, respectively. Through the analysis of these results, it can be concluded that significant stress distribution differences arise between the six different pin systems tested, so that those made of zirconium, stainless steel, titanium and cast metal produced high stress concentration at the post/dentin interface region. In the cases of the carbon fiber and fiberglass pins, on the other hand, the stress distribution along the radicular surface is uniform, lacking stress concentration areas. The zirconium, stainless steel, titanium and cast metal pins present mechanical properties which are different from those of the tooth structure, resulting in significant alterations over the mechanical behavior of the dental structure. The non-metallic pins comply more satisfactorily with the requirements necessary to provide a mechanical behavior more similar to that of the dental structure, the compatibility among the mechanical properties found in these system and the dentin providing a biomimetic behavior, reducing the risk of failure or root fractures. / Orientador: Maria Salete Machado Cândido / Coorientador: Sônia Aparecida Goulart Oliveira / Banca: Jesuânia Maria Guardiero Azevedo Pfeifer / Banca: Welingtom Dinelli / Mestre

Load transfer analysis deals with an important function of engineering structure, which is the ability of structure in transferring imposed loads to the supporting points. Although stress value has proved to be an efficient index for performing the failure analysis, the necessity of defining an index for evaluation of structure stiffness has led to the introduction of the U* index theory. The U* index characterizes the internal stiffness distributions, as an indicator of the load transfer in the structure. Although U* index theory have been proven to be useful in design, it is missing necessary steps toward becoming a mature theory for structural analysis. Firstly, the U* index theory needed to be examined and validated by experimental testing. Therefore, an experimental setup was proposed and tested, and U* index theory was validated through comparison of results. Secondly, a systematic comparison between the conventional stresses analysis and the U* index analysis was lacking. Such comparison was made for structural analyses of a vehicle component. The results, also compared to observations of experimental testing showed that in some cases, application of conventional stress analysis might be limited or less precise. Thirdly, design modification capability is a significant feature of the U* index theory, and it was necessary to demonstrate that real life problems can benefit from this potential. In this study, sample structures representing the components of multiple passengers carrying vehicles were selected and analyzed by U* index theory and design modifications were proposed and implemented on the structure. Lastly, the U* index theory should be applicable to different types of problems, including nonlinear domain. Hence, to remove the limitations of linear analysis that is a part of the original theory, an extension of U* index theory to the nonlinear domain was proposed and tested. In summary, U* index theory provides an understandable explanation of load transfer in the structure and provides a general awareness regarding structural performance. He presented work showed that the existing methods of structural analysis have limitations in certain aspects that can be overcome by combining the perspective of U* index analysis to the existing structural analysis paradigm. / February 2017

A verticalização de molares inferiores é indicada quando ocorre inclinação mesial dos segundos molares, atribuídas à ausência do primeiro molar. Existem inúmeras metodologias para realização de tal movimento. O objetivo do estudo foi analisar e comparar in vitro, por meio de fotoelasticidade, a distribuição de tensões nos segundos molares inferiores geradas por diferentes métodos de verticalização. Foram avaliados quatro modelos com as seguintes mecânicas: mini-implante, cantiléver, mola em T e mola aberta. As regiões do segundo molar selecionadas para avaliação foram: cervical da raiz mesial, apical da raiz mesial, cervical da raiz distal e apical da raiz distal. A resultante das forças aplicadas foi aferida por meio da quantificação das franjas isocromáticas. Os valores de franjas foram descritos com uso de média e desvio padrão e verificada a concordância/reprodutibilidade entre as avaliações com uso do coeficiente de correlação intraclasse com os respectivos intervalos com 95% de confiança e calculadas as medidas de repetibilidade. Os diferentes tipos de mecânicas foram comparados com uso de teste não paramétrico e quando o teste apresentou significância estatística foram realizadas comparações múltiplas não paramétricas para medidas pareadas com o intuito de verificar entre quais tipos de mecânicas ocorreram diferenças nas ordens das franjas. Os valores diferiram estatisticamente entre os tipos de mecânica utilizados (p < 0,05), exceto na região cervical distal, onde apresentaram-se estatisticamente iguais nos quatro tipos de mecânica (p = 0,112). Na técnica utilizando mini-implante, as maiores tensões foram encontradas na região cervical distal, seguidas de apical da raiz mesial e apical da raiz distal. Na região cervical mesial não foram detectadas tensões. Utilizando o cantiléver, as maiores tensões localizaram-se na região cervical mesial, seguidas de apical da raiz mesial e região cervical distal. Não foram detectadas tensões na apical da raiz distal. Na mola em T, as maiores tensões foram observadas na apical da raiz mesial, seguidas de região cervical da raiz mesial, apical da raiz distal e região cervical distal. Na mola aberta, as maiores tensões foram constatadas na apical da raiz mesial, seguidas de região cervical mesial, região cervical distal e apical da raiz distal. Ao compararem-se as técnicas, foi possível concluir que o mini-implante é a técnica que apresentou as menores tensões e o cantiléver as maiores tensões nas regiões estudadas. / Lower molars uprighting is indicated when mesial inclination of second molars occurs due to the lack of first molars. There are many methodologies to perform such movement. The goal of this research study was to in vitro analyze and compare, by means of photoelasticity, the strain distribution in lower second molars caused by several uprighting methods. Four models with the following mechanics have been evaluated: miniscrews, cantilever, T- loop spring and open coil spring. The second molar areas selected for the evaluation were the following ones: mesial-cervical area, apical area of the mesial root, distal-cervical and apical areas of the distal root. The resultant of forces applied was measured by quantifying isochromatic fringes. The fringe values were described using the mean and the standard deviation values and the agreement/reproducibility among the assessments were verified applying the intraclass correlation coefficient in the respective intervals with 95% confidence. Repeatability measures were calculated. The different types of mechanics were compared applying the nonparametric test and, when the test showed statistical significance, nonparametric multiple comparisons were carried out for paired measurements, aiming at checking in which mechanics fringe differences occur. Values statistically differed among the types of mechanics applied (p < 0.05), except in the distal-cervical area, in which the values were statistically the same for the four types of mechanics (p = 0.112). In the technique using miniscrews, the highest strain values were found in the distal-cervical area, followed by the apical area of the mesial root and the apical area of the distal root. No strain was found in the mesialcervical area. With the cantilever, the highest strains were found in the mesialcervical area, followed by the apical area of the mesial root and the distal-cervical area. No strain was found in the apical area of the distal root. In the T-loop spring, the highest strains were found in the apical area of the mesial root, followed by the cervical area of the mesial root, the apical area of the distal root and the distalcervical area. With the open coil spring, the highest strains were found in the apical area of the mesial root, followed by the mesial-cervical, the distal-cervical and the apical areas of the distal root. When comparing the techniques, it was concluded that the miniscrew showed the lowest stresses and the cantilever the highest stresses in the study regions.

Hollow section members are widely used in industrial applications for the design of many machine and structural components. These components are often fabricated at lower cost by welding rather than by casting or forging. For instance, in agricultural machinery, the hollow tubes are typically connected together through welding to form T-joints. Such T-joint connections are also employed in other engineering applications such as construction machinery, offshore structures, bridges, and vehicle frames. In this dissertation, the behaviour of tubular T-joint connections, in particular square hollow section (SHS)-to-SHS T-joints, subjected to static and cyclic loads is studied both experimentally and numerically. The techniques used for the fabrication of the T-joint connections can affect their strengths to different degrees. With modern advances in manufacturing technologies, there are many alternatives for the fabrication of the T-joint connections. For instance, in recent years, the use of the laser beam has become increasingly common in industrial applications. From a manufacturing point of view, the T-joint connections can be fabricated by using traditional mechanical cutting or laser cutting techniques. Currently, for the fabrication of the T-joint connections, the straight edge of one tube is cut using mechanical tools (e.g., flame cutting) and then welded to the body of the other tube. A major contribution of this research work is investigating the feasibility of using laser cutting to produce welded square hollow-section T-joints with similar or higher fatigue strengths than their conventional mechanical cut counterparts. For this purpose, a total of 21 full-scale T-joint samples, typical of those found in the agricultural machinery, are included for the study. Finite Element (FE) models of the T-joints manufactured with the different cutting techniques are also developed and the FE results are verified with the experiments. The results of the numerical and experimental study on the full-scale T-joint samples show that the fatigue strength of the samples that are manufactured with laser cutting is higher than those fabricated with conventional mechanical cutting. From a structural analysis view point, despite of the wide use of tubular T-joint connections as efficient load carrying members, a practical but yet simple and accurate approach for their design and analysis is not available. For this purpose, engineers must often prepare relatively complicated and time consuming FE models made up of shell or solid elements. This is because unlike solid-section members, when hollow section members are subjected to general loadings, they may experience severe deformations of their cross-sections that results in stress concentrations in the connections vicinity. One of the objectives/contributions of this research work is the better understanding of the behaviour of SHS-to-SHS T-joint connections under in-plane bending (IPB) and out-of-plane bending (OPB) loading conditions. Through a detailed Finite Element Analysis (FEA) using shell and solid elements, the stiffness and stress distribution at the connection of the tubular T-joints are obtained for different loading conditions. It is observed that at a short distance away from the connection of the T-joints, the structure behaves similar to beams when subjected to loadings. The beam like stresses cease to be valid only in the vicinity of the connection. Therefore, several parameters are defined to recognize the joints stress concentrations and the bending stiffness reduction. These parameters permit the accurate modelling of the tubes and the T-connection by simple beam elements with certain modifications. The models consisting of beam elements are significantly easier to prepare and analyze. Through several numerical examples, it is shown that the modified beam models provide accurately all important information of the structural analysis (i.e. the stresses, displacements, reaction forces, and the natural frequencies) at substantially reduced computational effort in comparison with the complicated Finite Element (FE) models built of shell or solid elements. Another contribution of this research work is the FE modelling of the weld geometry and its effect on the stresses at the vicinity of the connection. The results of the FE modelling are verified through a detailed experimental study. For the experimental study, two test fixtures with hydraulic actuators capable of applying both static and cyclic loadings are designed and used. Strain gauges are installed at several locations on full-scale T-joint samples to validate the developed FE models. It is shown that the membrane stresses which occur at the mid-surface of the tubes remain similar regardless of the weld geometry. The weld geometry only affects the bending stresses. It is also shown that this effect on bending stresses is highly localized and disappears at a distance of about half of the weld thickness away from the weld-toe. To reduce the stress concentrations at the T-joint, plate reinforcements are used in a number of different arrangements and dimensions to increase the load carrying capacity of the connection.

This thesis reports onreview and research work carried out on the numerical analysis of elastomers. The two numerical techniques investigated for this purpose are the finite and boundary element methods. The finite element method is studied so that existing theory is used to develop a finite element code both to review the finite element method as applied to the stress analysis of elastomers and to provide a comparison of results and numerical approach with the boundary element method. The research work supported on in this thesis covers the application of the boundary element method to the stress analysis of elastomers. To this end a simplified regularization approach is discussed for the removal of strong and hypersingularities generated in the system on non-linear boundary integral equations. The necessary programming details for the implementation of the boundary element method are discussed based on the code developed for this research. Both the finite and boundary element codes developed for this research use the Mooney-Rivlin material model as the strain energy based constitutive stress strain function. For validation purposes four test cases are investigated. These are the uni-axial patch test, pressurized thick wall cylinder, centrifugal loading of a rotating disk and the J-Integral evaluation for a centrally cracked plate. For the patch test and pressurized cylinder, both plane stress and strain have been investigated. For the centrifugal loading and centrally cracked plate test cases only plane stress has been investigated. For each test case the equivalent results for an equivalent FEM program mesh have been presented. The test results included in this thesis prove that the FE and BE derivations detailed in this work are correct. Specifically the simplified domain integral singular and hyper-singular regularization approach was shown to lead to accurate results for the test cases detailed. Various algorithm findings specific to the BEM implementation of the theory are also discussed.

Hollow section members are widely used in industrial applications for the design of many machine and structural components. These components are often fabricated at lower cost by welding rather than by casting or forging. For instance, in agricultural machinery, the hollow tubes are typically connected together through welding to form T-joints. Such T-joint connections are also employed in other engineering applications such as construction machinery, offshore structures, bridges, and vehicle frames. In this dissertation, the behaviour of tubular T-joint connections, in particular square hollow section (SHS)-to-SHS T-joints, subjected to static and cyclic loads is studied both experimentally and numerically. The techniques used for the fabrication of the T-joint connections can affect their strengths to different degrees. With modern advances in manufacturing technologies, there are many alternatives for the fabrication of the T-joint connections. For instance, in recent years, the use of the laser beam has become increasingly common in industrial applications. From a manufacturing point of view, the T-joint connections can be fabricated by using traditional mechanical cutting or laser cutting techniques. Currently, for the fabrication of the T-joint connections, the straight edge of one tube is cut using mechanical tools (e.g., flame cutting) and then welded to the body of the other tube. A major contribution of this research work is investigating the feasibility of using laser cutting to produce welded square hollow-section T-joints with similar or higher fatigue strengths than their conventional mechanical cut counterparts. For this purpose, a total of 21 full-scale T-joint samples, typical of those found in the agricultural machinery, are included for the study. Finite Element (FE) models of the T-joints manufactured with the different cutting techniques are also developed and the FE results are verified with the experiments. The results of the numerical and experimental study on the full-scale T-joint samples show that the fatigue strength of the samples that are manufactured with laser cutting is higher than those fabricated with conventional mechanical cutting. From a structural analysis view point, despite of the wide use of tubular T-joint connections as efficient load carrying members, a practical but yet simple and accurate approach for their design and analysis is not available. For this purpose, engineers must often prepare relatively complicated and time consuming FE models made up of shell or solid elements. This is because unlike solid-section members, when hollow section members are subjected to general loadings, they may experience severe deformations of their cross-sections that results in stress concentrations in the connections vicinity. One of the objectives/contributions of this research work is the better understanding of the behaviour of SHS-to-SHS T-joint connections under in-plane bending (IPB) and out-of-plane bending (OPB) loading conditions. Through a detailed Finite Element Analysis (FEA) using shell and solid elements, the stiffness and stress distribution at the connection of the tubular T-joints are obtained for different loading conditions. It is observed that at a short distance away from the connection of the T-joints, the structure behaves similar to beams when subjected to loadings. The beam like stresses cease to be valid only in the vicinity of the connection. Therefore, several parameters are defined to recognize the joints stress concentrations and the bending stiffness reduction. These parameters permit the accurate modelling of the tubes and the T-connection by simple beam elements with certain modifications. The models consisting of beam elements are significantly easier to prepare and analyze. Through several numerical examples, it is shown that the modified beam models provide accurately all important information of the structural analysis (i.e. the stresses, displacements, reaction forces, and the natural frequencies) at substantially reduced computational effort in comparison with the complicated Finite Element (FE) models built of shell or solid elements. Another contribution of this research work is the FE modelling of the weld geometry and its effect on the stresses at the vicinity of the connection. The results of the FE modelling are verified through a detailed experimental study. For the experimental study, two test fixtures with hydraulic actuators capable of applying both static and cyclic loadings are designed and used. Strain gauges are installed at several locations on full-scale T-joint samples to validate the developed FE models. It is shown that the membrane stresses which occur at the mid-surface of the tubes remain similar regardless of the weld geometry. The weld geometry only affects the bending stresses. It is also shown that this effect on bending stresses is highly localized and disappears at a distance of about half of the weld thickness away from the weld-toe. To reduce the stress concentrations at the T-joint, plate reinforcements are used in a number of different arrangements and dimensions to increase the load carrying capacity of the connection.

ABSTRACT In the present study, it is emphasized that mixed-type finite element formulation, which is different from the conventional displacement-type formulation, has both displacements and stresses as its primary variables. Therefore, stress, as well as displacement boundary conditions, can be imposed easily and exactly. Except around the outer edge where support is placed, stresses obtained by both displacement and mixed formulation are close to each other when the circular plate is subject to transverse uniform loading. However, large discrepancies exist around the locations of constraints, where the stresses are always significant and critical. Since mixed formulation of the present study can completely satisfy the stress and displacement boundary conditions, it can theoretically provide more accurate stress analysis and should be considered as a more appropriate analysis tool.

The Multidisciplinary Design Optimization (MDO) system is needed to reduce the developing time and production cost in most industries. The MDO is the new technology for optimization design, and considers solid mechanics, dynamics, kinematics, vibration/noise control, and fluid mechanics, simultaneously. Higher product quality, less developing time and lower manufacturing cost will be achieved through a balanced and organic MDO method. In this paper, numerical stress analysis, optimization method, and experimental stress analysis will be conducted to accomplish: 1) production cost; 2) developing time; 3) quality improvement; and 4) service-rate drop. First, the coupled analysis using the finite element method will be performed to obtain the accurate data. Second, OPTISTRUCT, which is commercial optimization software, will be used for shape and size optimization analysis. Third, an experimental stress analysis system will be established to assist the optimization design and numerical analysis.

Thesis (M.S.D.)--Indiana University School of Dentistry, 2009. / Title from PDF t. p. (viewed Feb. 9, 2010) Advisor(s): Jeffrey A. Platt, Chair of the Research Committee, Carl J. Andres, Suteena Hovijitra, David Brown, John A. Levon. Curriculum vitae. Includes abstract. Includes bibliographical references (leaves 56-59).