Os materiais compostos de fibras longas vêm se destacando entre o conjunto de novos materiais em desenvolvimento, com larga aplicação na indústria e também na construção civil. Elabora. se aqui um texto introdutório no campo das placas laminadas constituídas de lâminas em compostos de fibras longas. A partir das propriedades dos materiais constituintes, fibra e matriz, são apresentadas as teorias para a determinação das propriedades equivalentes das lâminas. A teoria da anisotropia elástica é formulada e a teoria dos laminados em flexão é desenvolvida. Conclusões com respeito ao acoplamento de esforços em tais estruturas são mostradas. Os modos básicos de ruptura da fibra, matriz e da interface entre ambas são apresentados, bem como os modos básicos de delaminação. Alguns critérios de ruptura são mostrados, assim como um critério de escoamento. Ao fim alguns exemplos ilustram a análise pelo método dos elementos finitos de tais estruturas feita por programa disponível em literatura, com a implementação de subrotina para análise da temperatura. / Long fiber composite materials have been standing out among the group of new materials in development with wide industrial application and also in civil construccion. Here is elaborated an introductory text in laminated plates field constituted of long fiber composite laminae. Starting from constituent materials properties, fiber and matrix, the theories for determination of laminae equivalent properties are presented. Elastic anisotropy theory is formulated and the bending laminated theory is developed. Conclusions about the coupling efforts in such structures are showed. Fiber, matrix and the interface between both failure basic modes are presented, as well as delamination basic modes. Some failure criteria are showed, as well as a yielding criteria. At the end some examples illustrate the finite element method analysis of such structures made by available literature programme with temperature analysis subroutine implementation.

Neste trabalho utiliza-se a formulação direta do Método dos Elementos de Contorno aplicada ao problema de flexão de placas com vinculação interna. Através da utilização da teoria baseada nas hipóteses de Reissner é possível atender em cada ponto, a três condições físicas de contorno. Admite-se a aplicação de cargas transversais distribuídas e concentradas, além de momentos distribuídos em linha. Os elementos de contorno apresentam geometria linear com aproximação quadrática para as variáveis de contorno. As equações integrais dos deslocamentos são escritas para pontos de colocação dispostos fora do domínio, evitando-se assim problemas de singularidades. O sistema de equações algébricas originado da análise de placas via MEC é modificado para incorporar o enrijecimento produzido pela vinculação interna. Primeiramente é analisado o enrijecimento produzido por apoios internos pontuais ou distribuídos em áreas pequenas e, em seguida, é estudada a associação da placa com uma estrutura qualquer, formada por barras. O enrijecimento produzido por esta estrutura é obtido utilizando-se o Método dos Elementos Finitos. Finalmente, são apresentados alguns exemplos simples que mostram a boa precisão da técnica utilizada. / The direct formulation of the Boundary Element Method is applied to the analysis of internally restrained plates in bending. By employing Reissner\'s theory, the three boundary conditions are satisfied at each point. Loading conditions include concentrated or uniformly distributed loads as well as linearly distributed moments. The boundary elements are geometrically linear with quadratic approximation for the boundary variables. The displacement integral equations are written for collocation points outside the domain thus avoiding any singularity problem. The resulting system of algebraic equations is modified to include the stiffening effects. Plates with internal point restraints and restrained over small areas are analyzed as well as plates connected to others structures made up of bars. In this last case, the stiffening effect is calculated through the Finite Element Method. The results obtained in simple problems indicate the accuracy of the procedure.

Orientador: Luis Augusto Passeri / Tese doutorado) - Universidade Estadual de Campinas, Faculdade de Odontologia de Piracicaba / Made available in DSpace on 2018-08-09T20:14:50Z (GMT). No. of bitstreams: 1 Brasileiro_BernardoFerreira_D.pdf: 9990302 bytes, checksum: ddce5ea3896243c2b52242b595e7946d (MD5) Previous issue date: 2007 / Resumo: Um melhor entendimento biomecânico da fixação interna rígida (FIR) na osteotomia sagital dos ramos mandibulares (OSRM) pode ser baseado em pesquisas com o intuito de investigar sua função in vitro antes da aplicação clínica. Assim, este trabalho teve como objetivo avaliar comparativamente a resistência de três diferentes técnicas de FIR em réplicas de hemimandíbulas humanas de poliuretano simulando a OSRM para movimentos de 5 mm em avanço e recuo. As técnicas de FIR incluíram uma miniplaca ponte com 4 furos e 4 parafusos monocorticais (grupo miniplaca), uma miniplaca com 4 furos e 4 parafusos monocorticais mais um parafuso bicortical posicional (grupo híbrido) e 3 parafusos bicortical posicionais em configuração em ¿L¿ invertido (grupo ¿L¿ invertido). Os parafusos e as miniplacas utilizados eram de titânio e pertencentes ao sistema de 2,0 mm. Estes foram avaliados quanto à padronização dimensional por meio do coeficiente de variação, que evidenciou alta semelhança macroscópica. As hemimandíbulas foram submetidas a testes de carregamento linear vertical e lateral por uma unidade de testes mecânicos Instron 4411 para registro da carga de pico aos deslocamentos de 1 mm, 3 mm, 5 mm e 10 mm. Médias e desvio padrão foram avaliados aplicando-se a Análise de Variância e o teste de Tukey em nível de significância de 5%. O grupo miniplaca apresentou menores valores de carga de pico ao deslocamento (p<0,01) quando comparada com as outras técnicas de fixação considerando-se igual tipo de movimento e direção de carga. O grupo ¿L¿ invertido foi ainda superior em resistência (p<0,01) ao grupo híbrido em movimento de avanço e com aplicação de carga verticalmente. Concluiu-se que a utilização da técnica de FIR para a OSRM baseada em 3 parafusos bicorticais em ¿L¿ invertido foi a mais estável, e que a colocação de um parafuso bicortical pode otimizar significativamente a resistência da fixação com miniplacas e parafusos monocorticais / Abstract: A better understanding of the biomechanics of sagittal split ramus osteotomy (SSRO) rigid internal fixation (RIF) can be based on research aiming to evaluate its function in vitro before clinical application. Thus, the goal of this investigation was to evaluate comparatively the resistance of three different RIF techniques applied to polyurethane synthetic hemi-mandible replicas simulating the SSRO for 5 mm advancement and setback. RIF techniques included a 4-hole miniplate and 4 monocortical screws (miniplate group), a 4-hole plate and 4 monocortical screws with one additional bicortical positional screw (hybrid group), and 3 bicortical positional screws in a traditional inverted-L pattern (inverted-L group). Screws and miniplates were made of titanium and from 2.0 mm system. These were analyzed according to dimensional standardization by a coefficient of variation, which revealed high macroscopic similarity. The hemi-mandibles were submitted lateral and vertical loading tests in an Instron 4411 mechanical testing unit for recording of peak loading at 1 mm, 3 mm, 5 mm and 10 mm of displacement. Means and standard deviation were analyzed using Analysis of Variance and Tukey test with a 5% level of significance. Miniplate group showed lower load peak scores (p<.01) when compared to the others fixation techniques regarding equal type of movement and force direction. Inverted-L group demonstrated higher resistance (p<.01) than hybrid group during advancement and with application of vertical load. It was concluded the RIF technique for SSRO based on 3 bicortical screws in the inverted-L pattern was the most stable, and the installation of a bicortical screw may significantly optimize the resistance of the miniplate and monocortical screws fixation / Doutorado / Cirurgia e Traumatologia Buco-Maxilo-Faciais / Doutor em Clínica Odontológica

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Orientadores: Valfrido Antonio Pereira Filho, Luis Augusto Passeri / Dissertação (mestrado) - Universidade Estadual de Campinas, Faculdade de Odontologia de Piracicaba / Made available in DSpace on 2018-08-13T11:01:55Z (GMT). No. of bitstreams: 1 Iamashita_HericYukio_M.pdf: 10483371 bytes, checksum: 43fabb9ac62869422ae0c9f7b447d409 (MD5) Previous issue date: 2009 / Resumo: Estudos têm proposto diversas técnicas e métodos de fixação interna rígida (FIR) no sentido de se obter maior estabilidade dos segmentos ósseos e mínimo deslocamento condilar após osteotomia sagital do ramo mandibular (OSRM). Desta forma, o presente estudo teve por objetivo avaliar por meio de ensaio mecânico de compressão em hemimandíbulas sintéticas, três diferentes tipos de fixações utilizadas na OSRM em movimento de avanço de 5 mm. Foram utilizadas 30 hemimandíbulas, divididas em 3 grupos com 10 hemimandíbulas em cada. O grupo 1 foi fixado com três parafusos posicionais de 15 mm do sistema 2,0 mm dispostos bicorticalmente na posição de L invertido e com angulação de inserção de 90°; no Grupo 2 a fixação foi realizada com placa de 4 furos do sistema 2,0 mm e 4 parafusos monocorticais de 6 mm de comprimento disposto sobre a região do canal mandibular, e o Grupo 3 a fixação consistiu de uma placa sagital ajustável do sistema 2,0 mm e 8 parafusos de 6,0 mm de comprimento também localizada sobre o canal mandibular. Sendo avaliados quanto à padronização, o sistema de fixação demonstrou semelhança dimensional. As hemimandíbulas foram submetidas a cargas compressivas verticais, por meio de ponta de aplicação de carga em máquina de ensaio universal MTS®, na velocidade de 1 mm/min com deslocamento máximo de 10 mm. Médias e desvios padrão foram obtidos e submetidos à análise de variância a um fator e teste HSD de Tukey com nível de significância de 5%. O Grupo 1 apresentou maiores valores de resistência à força de carga compressiva (p<0,001) sendo superior aos demais grupos. O Grupo 3 demonstrou a menor resistência às forças (p<0,001). Concluiuse que o uso de parafusos bicorticais posicionais em L invertido promove a maior capacidade de resistência às cargas compressivas, sendo que as placas sagitais ajustáveis apresentam-se cerca de 60% menos resistentes do que o Grupo 1. / Abstract: Studies have considered many techniques and methods of rigid internal fixation (RIF) leads to obtain greater stability to the bone segments and minimum displacement of the condyles after performed the sagittal split ramus osteotomy (SSRO). In this way, the purpose of this study was to evaluate by means of mechanical compression testing model with synthetic hemimandibles, three different fixation types used in the SSRO in movement of advance of 5 mm. Thirty hemimandibles, divided in 3 groups with 10 hemimandibles in each group. Group 1 was fixed with three 15 mm positional screws (2.0 mm diameter) bicortically in an inverted-L pattern and with insertion angle of 90°; in Group 2 the fixation was carried through with four-hole straight plate and four 6 mm monocortical screws made located on the region of the mandibular canal, and Group 3 the fixation is consisted of an adjustable sagittal plate and eight 6 mm screws also placed on the mandibular canal. Evaluated for dimensional standardization, the fixation system had demonstrated dimensional similarity. Hemimandibles had been exposed to the vertical compressive loads, by means of tip of load application in a MTS® mechanical testing unit, in the speed of 1 mm/min with maximum displacement of 10 mm. Averages and standard deviations had been obtained and submitted to the analysis of variance to a factor and have tested for HSD of Tukey test with a 5% level of significance. Group 1 presented greaters values of resistance to the compressive loads (p< 0.001) showed superior to the other groups. Group 3 demonstrated the lesser resistance to the loading forces (p< 0.001). It was concluded that the use of positional bicortical screws in inverted-L pattern promotes the higher capacities of resistance to compressive loads, moreover, the adjustable sagittal plates are presented about less resistant 60% that the Group 1. / Mestrado / Cirurgia e Traumatologia Buco-Maxilo-Faciais / Mestre em Clínica Odontológica

Orientadores: Alexandre Elias Trivellato, Marcio de Moraes / Tese (doutorado) - Universidade Estadual de Campinas, Faculdade de Odontologia de Piracicaba / Made available in DSpace on 2018-08-21T07:03:24Z (GMT). No. of bitstreams: 1 Cavalieri-Pereira_Lucas_D.pdf: 1578055 bytes, checksum: 8c7fc995f3dac6a8d0d45c1bc49f3175 (MD5) Previous issue date: 2012 / Resumo: Fraturas do ângulo mandibular são muito freqüentes dentre as fraturas mandibulares e um das formas de tratamento é a utilização de fixação interna com placas e parafusos. Neste estudo o objetivo foi avaliar comparativamente a resistência de três tipos de fixação em réplicas de mandíbula de poliuretano, empregando-se a técnica de Champy. Foram utilizadas 63 mandíbulas dentadas, submetidas aa seccionamento simulando uma fratura linear e favorável de ângulo mandibular esquerdo. As fixações foram realizadas com placas retas do sistema 2,0 mm, dispostas da seguinte forma: uma placa com quatro furos, uma com cinco furos e uma com quatro furos e extensão (ponte). A estabilização e fixação foram realizadas com adaptação da placa e quatro parafusos de 6,0 mm de comprimento, sobre a linha oblíqua da mandíbula. Foram elaborados 9 grupos, com 7 mandíbulas cada um, sendo 3 grupos fixados com placa de 5 furos, 3 com placa reta de 4 furos com extensão e 3 com placa reta de 4 furos. Cada conjunto foi submetido ao teste de carregamento linear com aplicação de carga no sentido súpero-inferior em três pontos distintos da mandíbula, de modo não simultâneo (região de molar ipsilateral à secção, incisivos centrais e molar contralateral) em máquina de ensaio universal EMIC DL 2000. Foram mensurados valores de carga no deslocamento de 1 mm, 2 mm e final e anotado o deslocamento final. Os resultados obtidos foram submetidos à análise estatística, utilizando a análise de variância (ANOVA), seguido do teste de Tukey, nível de significância de 5%. Nos valores de cargas obtidos, tanto quando aplicada no molar ipsilateral ao seccionamento, no molar contralateral ao seccionamento e entre incisivos centrais, foi verificada diferença estatística somente no momento do deslocamento final, na qual a placa com 5 furos e com 4 com extensão foi superior a placa com quatro furos. Não houve diferença entre placa com 5 furos e com 4 com extensão / Abstract: Mandibular angle fractures are very frequent among the mandibular fractures and a form of treatment is the use of internal fixation with plates and screws. In this study, the objective was to evaluate the resistance of three types of fixation in mandibular replicas of polyurethane, using the technique of Champy. Sixty three toothed mandibles were used, subject to sectioning simulating a linear and favorable fracture of left mandibular angle. The fixations were performed with straight plates system 2.0 mm, prepared as follows: one plate with 4-holes, one with 5-holes and one 4-holes and extension (bridge). Stabilization and adjustment were performed with locking plate and four screws of 6.0 mm in length, about the oblique line of the mandible. Nine groups were elaborated, with 7 each, which 3 groups being fixed with 5-holes plates, 3 groups with 4-holes plates with extension and 3 groups with 4-holes plates. Each set was submitted for loading test with load application towards in three distinct points of the mandible, so do not simultaneously (molar region on the side ipsilateral of section, the central incisors and contralateral molar) in universal testing machine EMIC DL 2000. Load values were measured at offset 1 mm, 2 mm and final and was noted the final dislocation. The results were submitted to statistical analysis, using analysis of variance (ANOVA) followed by Tukey test, a significance level of 5%. The values obtained, when loads were applied in the ipsilateral molar, contralateral molar and incisors, was verified statistically only at the final dislocation, in which the 5-holes plates and 4-holes with extension was more resistant than 4-holes plates. There was no difference between plate with 5-holes and 4-holes with extension / Doutorado / Cirurgia e Traumatologia Buco-Maxilo-Faciais / Doutor em Clínica Odontológica

The large ductile deformation response of stiffened plates subjected to blast loads is investigated and simplified methods of analysis of such response are developed. Simplification is derived from modelling stiffened plates as singly symmetric beams or as grillages thereof. These beams are further assumed to behave in a rigid, perfectly plastic manner and to have piecewise linear bending moment-axial force capacity interaction relations, otherwise known as yield curves. A blast loaded, one-way stiffened plate is modelled as a singly symmetric beam comprised of one stiffener and its tributary plating, and subjected to a uniformly distributed line load. For a stiffened plate having edges fully restrained against rotations and translations, both transverse and in-plane, use of the piecewise linear yield curve divides the response of the beam model into two distinct phases: an initial small displacement phase wherein the beam responds as a plastic hinge mechanism, and a final large displacement phase wherein the beam responds as a plastic string. If the line load is restricted to be a blast-type pulse, such response is governed by linear differential equations and so may be solved in closed form. Examples of a one-way stiffened plate subjected to various blast-type pulses demonstrate good agreement between the present rigid-plastic formulation and elastic-plastic beam finite element and finite strip solutions. The response of a one-way stiffened plate is alternatively analysed by approximating it as a sequence of instantaneous mode responses. An instantaneous mode is analogous to a normal mode of linear vibration, but because of system nonlinearity exists for only the instant and deformed configuration considered. The instantaneous mode shapes are determined by an extremum principle which maximizes the rate of change of the stiffened plate's kinetic energy. This approximate rigid-plastic response is not solved in closed form but rather by a semi-analytical time-stepping algorithm. Instantaneous mode solutions compare very well with the closed-form results. The instantaneous mode analysis is extended to the case of two-way stiffened plates, which are modelled by grillages of singly symmetric beams. For two examples of blast loaded two-way stiffened plates, instantaneous mode solutions are compared to results from super finite element analyses. In one of these examples the comparison between analyses is extremely good; in the other, although the magnitudes of displacement response differ between the analyses, the predicted durations and mechanisms of response are in agreement. Incomplete fixity of a stiffened plate's edges is accounted for in the beam and grillage models by way of rigid-plastic links connecting the beams to their rigid supports. Like the beams, these links are assumed to have piecewise linear yield curves, but with reduced bending moment and axial force capacities. The instantaneous mode solution is modified accordingly, and its results again compare well with those of beam finite element analyses. Modifications to the closed-form and instantaneous mode solutions to account for strain rate sensitivity of the panel material are presented. In the closed-form solution, such modification takes the form of an effective dynamic yield stress to be used throughout the rigid-plastic analysis. In the time-stepping instantaneous mode solution, a dynamic yield stress is calculated at each time step and used within that time step only. With these modifications in place, the responses of rate-sensitive one-way stiffened plates predicted by the present analyses once again compare well with finite element and finite strip solutions. / Applied Science, Faculty of / Civil Engineering, Department of / Graduate

Various models are currently in existence for determining the deflection of lithospheric plates under an applied transverse load. The most popular models treat lithospheric plates as thin elastic or thin viscoelastic plates. The equations governing the deflection of such plates have been solved successfully in two dimensions using integral transform techniques. Three dimensional models have been solved using Fourier Series expansions assuming a sinusoidal variation for the load and deflection. In the engineering context, the finite element technique has also been employed. The current aim, however, is to develop an efficient solver for the three dimensional elastic and viscoelastic problems using finite difference techniques. A variety of loading functions may therefore be considered with minimum work involved in obtaining a solution for different forcing functions once the main program has been developed. The proposed method would therefore provide a valuable technique for assessing new models for the loading of lithospheric plates as well as a useful educational tool for use in geophysics laboratories. The multigrid method, which has proved to be a fast, efficient solver for elliptic partial differential equations, is examined as the basis for a solver of both the elastic and viscoelastic problems. The viscoelastic problem, being explicitly time-dependent, is the more challenging of the two and will receive particular attention. Multigrid proves to be a very effective method applicable to the solution of both the elastic and viscoelastic problems. / Science, Faculty of / Mathematics, Department of / Graduate

An experimental study is presented on the non-linear twisting of plates with free edges, through the application of self-equilibrating corner loads. A simple apparatus was designed and various sizes of plates were twisted while measuring the surface strains on both sides at the centre. Initial difficulty was encountered due to unwanted deflection of the plate under its own weight. The Rayleigh-Ritz method is used to determine an analytical relationship between midsurface strains and curvatures in the pre- and post-bifurcation regions of twisting. In both the experimental and analytical results, the midsurface strains are found to vary linearly with the Gaussian curvature. Non-dimensional groups are identified which collapse the experimental load-strain, load-curvature and midsurface strain-Gaussian curvature relationships. These non-dimensional groups collapse the results in both the linear and non-linear regions. The curvature at the point of bifurcation is identified as a function of plate dimensional parameters. Also shown are the expressions for critical surface strain and corner load at which bifurcation occurs. The experimental load-curvature relationship and point of bifurcation are compared with analytical results found in the literature. A large discrepancy in the literature is resolved for the theoretical point of bifurcation. The present results form a basis for verification of future analytical results, and are important in the measurement of constitutive relationships using the twisted plate test. / Applied Science, Faculty of / Mechanical Engineering, Department of / Graduate