En av de sannolikhetsbaserade metoderna som kan användas för dimensionering av tunnlar är partialkoefficientmetoden. Denna metod ökar eller reducerar variabler med hjälp av partialkoefficienter, vilka kan kalibreras sannolikhetsteoretiskt. Eurokod tillhandahåller sådana partialkoefficienter för till exempel armerad betong. Problemet med partialkoefficienterna i Eurokod är dock att ingen skillnad görs med avseende på vad betongen skall användas till. Detta examensarbete har därför syftat till att undersöka möjligheten att ta fram nya partialkoefficienter specifikt för sprutbetongförstärkning då den dimensionerande brottsmekanismen är böjbrott, detta med hjälp av tillförlitlighetsteori, FORM/FOSM. Böjbrott i sprutbetongen kan uppkomma då vidhäftningen mellan berg och sprutbetong är låg, och sprutbetongen måste bära eventuella bergblock med sin momentupptagande förmåga. För att ta fram partialkoefficienterna har uppmätt data på sprutbetongtjockleken och böjdraghållfastheten i en av Citybanans tunnlar, Norrströmstunneln, varit grunden. Statistiska fördelningar har tagits fram för att beskriva dessa data, för att möjliggöra användandet av dem i sannolikhetsanalysen. Resultaten visade att en lognormalfördelning passade observerad data bäst för sprutbetongtjockleken, och en betafördelning passade bäst för böjdraghållfastheten. Vidare visade resultaten att sannolikhetsbaserade metoder vid dimensionering för denna brottsmekanism ännu inte kan rekommenderas, då de visade på en kraftig överdimensionering jämfört med hur det idag dimensioneras. Osäkerheterna kring vissa av de modeller och variabler som använts behöver först reduceras. / One of the probability based methods that may be used when designing a tunnel is the partial factor method. This method adjusts the value of variables with the help of partial factors, which may be calibrated using a reliability-based approach. The Eurocodes provide these partial factors for different materials and structures, such as reinforced concrete. A limitation with the provided partial factors from Eurocode is the lack of consideration for the usage of the concrete. This thesis aims to investigate the possibility to derive new partial factors specifically for shotcrete reinforcement, for the failure mechanism of flexural failure. This has been done by means of reliability theory,FORM/FOSM. Flexural failure in shotcrete may occur when the adhesion between the rock and shotcrete is low. Further, the shotcrete has to have the capacity to withstand bending moments from the rocks. To derive the new partial factors, the measured data of thickness and flexural strength of shotcrete in one of Citybanan's tunnels, Norrströmstunneln, in central Stockholm have been used as the basis for the analysis. The data was described by a statistical distribution which enabled the usage of them in the reliability analysis. The results showed that a lognormal distribution best described the shotcrete thickness while flexural strength was best fitted by a beta distribution. The results also showed that it is not recommended to use probabilistic methods in design for this failure mechanism unless uncertainties, arising from some of the models and variables used, are reduced. It clearly shows that it would lead to oversizing compared with the design methods used today.

Shotcrete is sprayed concrete applied pneumatically under high pressure and was invented in the beginning of the 1900's. This new technique decreased the construction time and since steel fibres were introduced in the shotcrete during the 1970's, shotcrete has been the primary support method for tunnels. Tunnels excavated with the drill and blast method creates a highly irregular rock surface which results in a shotcrete lining with varying thickness. The structural behaviour as well as the loads acting on the shotcrete lining depends on the interaction between the shotcrete, rock and rock bolts. There are several parameters influencing this interaction, e.g. bond strength, the stiffness of the rock and thickness of the shotcrete. All of these parameters are difficult to predict accurately which makes the structural design of the lining to a complex problem. This thesis present the first part of a research project with the long-term goal to improve the understanding of the structural behaviour of the shotcrete lining. To achieve this, numerical modelling have been used to study the build up of stresses and cracking of shotcrete when subjected to restrained loading caused by e.g. temperature differences and drying shrinkage. The response in the lining when subjected to a gravity load from a block has also been studied. The model is capable of describing the non-linear deformation behaviour of both plain and fibre reinforced shotcrete and uses presented in situ variations in thickness to more accurately account for the effects of expected variations in thickness. The thesis discuss and demonstrate the effect of important loads that acts on the shotcrete lining and how the irregular geometry of the rock surface in combination with the varying thickness of the shotcrete affect the development of stresses in the lining. It is also discussed how a full or partial bond failure affect the structural capacity of a shotcrete lining. / Sprutbetong är betong som appliceras pneumatiskt under högt tryckt, en metod utvecklad i början av 1900-talet. Kort därefter gjordes de första försöken att använda sprutbetong som bergförstärkning. Den här nya tekniken minskade produktionstiden och när stålfibrer introduceras under 1970-talet kunde det tunga arbetet med att placera armering minimeras. Sedan dess har sprutbetong blivit den preliminära förstärkningsmetoden, särskilt för tunnlar i hårt berg där tunna lager av sprutbetong ibland kan användas som den enda förstärkningsåtgärden.  Tunnlar byggs normalt genom metoden "borrning-sprängning" vilket leder till att bergytan där sprutbetongen appliceras få r en oregelbunden form. Under sprutning är det svårt att fastställa den exakta tjockleken och sprutbetongen har därmed en oregelbunden tjocklek. Beroende på in situ förhållanden kan oarmerad eller fiberarmerad sprutbetong i kombination med bergbultar användas för att förstärka berget. Det strukturella beteendet och lasterna som påverkar förstärkningen beror på interaktionen mellan sprutbetong, berg och bergbultar. Denna samverkan styrs av flera parametrar som t ex; vidhäftningshållfastheten, bergets styvhet och tjockleken hos sprutbetongen. Dessa parametrar är svåra att förutsäga vilket gör dimensionering av en sprutbetongförstärkningen till ett komplext problem. Den här uppsatsen presenterar den första delen av ett forskningsprojekt med det långsiktiga målet att öka förståelsen för det strukturella beteendet hos en sprutbetongförstärkning. För att uppnå detta har numerisk modellering använts för att studera spänningsuppbyggnaden och uppsprickningen av sprutbetong som utsätts för förhindrade rörelser orsakade av temperaturförändringar eller uttorkningskrympning. Sprutbetongens beteende när den utsätts för en blocklast har också studerats. En numeriskt modell för att analysera spänningarna i sprutbetong som tar hänsyn till tidsberoende materialegenskaper har använts. Modellen kan beskriva det icke-linjära deformationsbeteendet av oarmerad samt fiberarmerad sprutbetong och använder sig av presenterad fältdata för att beskriva de förväntade tjockleksvariationerna. Uppsatsen disskuterar och demonstrerar effekten av viktiga laster som verkar på sprutbetongförstärkningen och hur bergets oregelbundna yta i kombination med sprutbetongens varierande tjocklek påverkar spänningsuppbyggnaden i förstärkningen. Det diskuteras också hur ett fullständigt eller partiellt vidhäftningsbrott på verkar sprutbetongförstärkningens bärförmåga. / <p>QC 20170418</p>

Shotcrete or sprayed concrete has become an inevitable material for stabilising and supporting hard rock tunnels. To prevent rock block fallouts in the excavated tunnel, shotcrete is pneumatically projected under high pressure on the rock surface. This method has proven to reduce the construction time drastically, and the addition of fibres in the shotcrete material results in Fibre Reinforced Shotcrete (FRS). The fibres increased the strength of the parent matrix and made the reinforcement bar (mesh) placing procedure with its heavy labour work unnecessary. Even though FRS have been in use for many years, to design FRS lining there are currently no complete, widely used guidelines. Traditionally, the most frequently used testing was a traditional beam testing method which helps to determine the FRS mechanical properties. Previous studies prove that the result from beams often show a high scatter in the results. Another proposed standard testing method is the Round Determinate Panel method to determine the energy absorption capacity. This method has the potential to be a reliable test procedure with a repeatable and predictable crack pattern.In this project, an experimental investigation was carried out to understand the behaviour of macro fibres of steel, basalt and synthetic materials in FRS. The specimens were sprayed in situ and cast in laboratory, of which the in situ samples were assigned to different curing conditions. The test standard ASTM C-1550 was used to design the round panels and SS-EN 14488-3 for the beams. Each type of FRS specimen’s compressive strength was tested, evaluated and compared. The single fibre pullout strength was tested to determine the bond strength between shotcrete and fibres.The calculated results showed the coefficient of variation (COV) of energy absorption capacity from panels varied within 3 % – 13 % and the residual strength of beams within 12 % – 35 %. Irrespective of testing method, the Dramix 3D steel fibre and Minibars basalt fibre for the tested cases showed the lowest dispersion of result. Minibars showed a significant increase in compressive strength compared to the other fibres. Single fibre pullout testing concluded that the steel fibre had superior load capacity at the first crack. Minibars showed a strength close to that of steel fibres and a failure mode similar to that with synthetic fibres.

Made available in DSpace on 2014-07-29T15:18:20Z (GMT). No. of bitstreams: 1 antonio davi barbosa.pdf: 7758896 bytes, checksum: ca05d091a1db99ebc27e5221e6137f79 (MD5) Previous issue date: 2010-09-24 / The present work aims to analyse the durability parameters of the shotcrete, comparing the dry and wet projection systems, of the concrete resulting from the projection in plates and from the test specimens extracted from the tunnels structures of the North-South Railway, tract 01, in Anápolis-GO. This work considers an experimental research concerning the shotcrete behavior for dry-mix and wet-mix projection systems, by using testing indicators of the main durability parameters coming from national and international specifications. So, the experimental program involves a comparative assessment among the projection systems of current use in shotcrete, considering the comparative analysis between projected plates (control) and extracted test specimens from the tunnels on what refers to meeting the requirements related to durability. Therefore, the experimental program showed as independent variables: type of projection system (whether by means of dry-mix or wet-mix shotcrete) and the extraction of test specimen (from the control plates or from the tunnels structure). For each type of projection (dry-mix and wet-mix shotcrete), three plates were cast (normally used for concrete technological control) in conditions similar to the work-site, with the test specimens extraction been carried out according to pre-established ages. Eight test specimens were extracted from the just-builts tunnels generating thus samples to the durability associated tests, such as: capillary water absorption, immersion water absorption, concrete electric resistivity, water penetration under pressure, penetrability of chloride ions and concrete compressive strenght. Test specimens extracted from the tunnels and the from the plates were also submitted to testings of compressive strenght and mix-proportion reconstruction. The concrete extracted from tunnels showed worse results comparing to the parameters expected from the projected concrete requirements for road and rail tunnels, and it also demonstrated results which were inferior to the ones obtained from the plates. From a general assessment view, we could verify losses of durability properties of the shotcrete extracted from tunnels in reference to the projected plates. / O presente trabalho tem como objetivo analisar os parâmetros de durabilidade do concreto projetado, comparando os sistemas de projeção via seca e via úmida, dos concretos resultantes da projeção em placas e dos testemunhos extraídos das estruturas dos túneis da Ferrovia Norte-Sul, trecho 01, em Anápolis-GO. Este trabalho contempla um estudo experimental de análise do comportamento de concretos projetados por via seca e úmida, através de ensaios indicadores dos principais parâmetros de durabilidade, constantes das especificações nacionais e internacionais. O programa experimental envolve, portanto, a avaliação entre os sistemas de projeção de uso corrente em concreto projetado, considerando a análise comparativa entre as placas projetadas (de controle) e os testemunhos extraídos dos túneis, no que se refere ao atendimento aos requisitos relativos à durabilidade. Para tanto, o programa experimental teve como variáveis independentes: tipo de sistema de projeção (se por via seca ou por via úmida) e a extração dos corpos-de-prova de concreto (da placa ou do túnel). Para cada tipo de projeção (via seca e via úmida) foram moldadas três placas (normalmente utilizadas para os fins de controle tecnológico do concreto) em condições similares às da obra, tendo-se em seguida, nas idades preestabelecidas, executado-se a extração de corpos-de-prova. Foram também extraídos oito testemunhos dos túneis executados, gerando, assim, corpos-de-prova submetidos aos ensaios balizadores dos parâmetros de durabilidade adotados neste estudo, a saber: absorção de água por capilaridade, absorção por imersão e fervura, resistividade elétrica, penetração de água sob pressão, penetrabilidade de íons cloreto e resistência à compressão axial. Contribuíram também para a caracterização do material os corpos-de-prova extraídos dos túneis e das placas, que foram submetidos a ensaios de resistência à compressão axial e de reconstituição de traço. Os concretos extraídos dos túneis mostraram resultados abaixo dos parâmetros para os resultados esperados dos requisitos de concreto projetado para os túneis rodo-ferroviários, e ainda com resultados inferiores aos resultados obtidos das placas. Numa avaliação geral, constatou-se perdas de propriedades de durabilidade do concreto projetado extraídos dos túneis em referência aos das placas projetadas.

This work is focused on the application of advanced elasto-plastic material model intended for shotcrete. Spatial mathematical models of two laboratory tests are created, where this model is used. The first test is a three-point bending concrete specimen. Next, the behavior of the material is analyzed, in which input parameters are entered. Consequently, two reverse analyzes of the available data are analyzed where a match between prediction and measurement can be obtained. The second test is a modified tensile test, where is describe the material behavior in changing of input parameters. Subsequently, reverse data analysis is created, where an acceptable match between prediction and measurement is possible. In every study, the stress waveform in the fracture process zone is analyzed to more detail.

A precaução com a ruína em um material geológico submetido a altas tensões é um problema bastante comum na Geotecnia. Em um túnel, por exemplo, durante a escavação, é possível gerar uma perda de equilíbrio que pode levar à ruptura, fechamento e perda do mesmo. Quando a perfuração é feita em um maciço com características de deformabilidade dependentes do tempo, a redistribuição de tensões pode levar à ocorrência de grandes deformações em longo prazo. Esse fato se deve ao comportamento de fluência (Creep) do mesmo, que se caracteriza por uma deformação lenta e contínua sobtensão e temperaturas constantes. Tendo como fundamento a modelagem para melhor compreensão e controle desses problemas, este trabalho teve inicialmente por objetivo realizar simulações da interação de maciços evaporíticos com a estrutura de suporte, durante e após a escavação de um túnel. Ao longo do trabalho, vislumbrou-se a oportunidade de ampliar seu escopo para problemas mais gerais de interação maciço-suporte, detalhando-se também a interação entre camadas primária e secundária da estrutura de concreto. Assim, incorporaram-se resultados de análises com atrito limitado entre estruturas de suporte e o maciço, e de interação através da interface de uma membrana para impermeabilização aderente às duas camadas. Essas simulações foram realizadas utilizando o programa de elementos finitos Abaqus® e, em alguns casos, levou em conta a utilização de elementos de suporte no contorno do túnel. / Geotechnical engineers have been faced with difficult problems due to failure of geological materials caused by stresses exceeding the strength. The strain around a circular tunnel during and after excavation, for example, may lead to failure due to stresses redistribution. Particularly in rock masses with time-dependent deformation properties, the new stress field can lead to large strains in the long term or even to the closure of the tunnel due to creep behavior under constant stress and temperature. This work aimed originally at simulating the interaction of concrete support structures with evaporites identifying the effects of creep phenomenon in underground excavations. During the development of the work, it was decided to extend the scope to include other phenomena related to the interaction between the first and second layers of tunnel support structures. These include partial friction or the mechanical interface of a waterproofing sprayed membrane. For the development of the present study, numerical simulation of the time-dependent interaction between support and rock masses, during and after excavation of a tunnel were carried out with the commercial FEM software Abaqus®, chosen due to its versatility for the solution of non-linear problems.

A utilização de concreto projetado como suporte de túneis é uma prática amplamente difundida no mundo inteiro. Este tipo material possui a característica de começar a agir estruturalmente desde pequenas idades. Apesar disso, os correntes processos de dimensionamento de suportes negligenciam o desenvolvimento de suas propriedades com o tempo, em acoplamento aos efeitos tridimensionais da região onde se localiza a frente de escavação. O presente trabalho tem a finalidade de relatar os procedimentos utilizados na análise da influência de alguns parâmetros da interação maciço - suporte, sobre os esforços solicitantes e os deslocamentos radiais finais do suporte de um túnel, tanto para o caso de concreto projetado, com suas propriedades dependentes do tempo, quanto para materiais com propriedades constantes. São elaboradas soluções adimensionais para o problema da quantificação de esforços solicitantes no suporte e de deslocamentos radiais na interface entre maciço e suporte. Além disso, é proposta uma forma de se determinar, através destas soluções adimensionais, coeficientes de alívio de tensões que auxiliam em simulações bidimensionais de escavações subterrâneas. / The utilization of shotcrete as tunnel support is a widely diffused practice in the whole world. This kind of material has the feature of beginning to act structurally since early ages. Nevertheless, the current processes of support design neglect the development of its properties after some time in connection to the 3D effects of the region where the face of the tunnel is located. The present work relates the procedures adopted in analyzing the influence of some ground-support interaction parameters on the support internal forces and interface radial displacements of a tunnel, not only when shotcrete is used, with its time-dependent properties, but for materials with constant properties as well. Dimensionless solutions are developed for the support thrust and radial displacement quantification problem. Moreover, through this dimensionless solution, a way of quantifying stress relief factors, which are intermediate steps in 2D simulations of underground excavations, is proposed.

Concreto projetado é aquele pneumaticamente transportado e projetado a alta velocidade, sobre uma superficie, sendo auto-compactado. Assim, denota-se que suas propriedades são dependentes do processo de projeção utilizado. Desta forma, para se estudar o material, é importante ter-se o conhecimento do seu processo de produção (se por via seca ou úmida, equipamentos e mão-de-obra utilizados, etc.) e das propriedades especificas do concreto projetado (como a reflexão, o desplacamento e a liberação de poeira ou névoa) e as respectivas formas de controle. Foi executado o estudo experimental do concreto projetado via seca, onde foi possivel caracterizar algumas diferenças de comportamento em relação ao concreto convencional. Entre elas está o fato de que a maior compactação e resistência mecânica é obtida com o teor ótimo da mistura e não com a menor relação água/cimento. Constatou-se o fato da projeção do concreto no teto fornecer um material de melhor qualidade que aquele projetado na parede. Finalmente, para a obtenção de um material boa qualidade, é fundamental o controle rigoroso do teor de aditivo acelerador, a utilização de bicos afunilados, pressão de ar comprimido adequada, pré-umidificação com injeção de água sob pressão e seguir as recomendações para o controle da qualidade do processo de projeção como um todo. / Shotcrete is concrete pneumatically conveyed and projected at high speed onto a surface, compacting itself. Thus its properties depend on the shooting process. It is important to know the shooting process (wet ou dry-mix process, equipaments and working crew, etc.), the specific properties of shotcrete (rebound, sloughing and dust generation) and respective mean of controlo An experimental study was made using dry-mix shotcrete, where it was possible to point out some differences of the plain concrete analysis. One of these is the high compaction and stregth achieved with the optimum waterIdry materiaIs ratio and not the minimum water/cement ratio. Shotcrete, gunned in overhead, generates a better material compared to the vertical walls. Finally, to obtain a good quality material, it\'s very important to make a rigorous control of the accelerator admixture contento AIso, it is recommended to use a funnelshaped nozzle, adequate compressed air pressure, hidromix with high water pressure and to follow the recommendations on alI shotcreting process quality control.

Le béton projeté est une méthode de mise en place consistant en la projection pneumatique de béton sur une surface à grande vitesse. Dans le cas de la méthode par voie sèche, le mélange granulats-ciment est introduit sec en machine, l'eau est ajoutée à la fin du transfert. Cette technique, très employée, est néanmoins génératrice de pertes importantes par rebond, pouvant s'élever jusqu'à 40% de la masse projetée. L'enjeu de la réduction des pertes est à la fois économique et environnemental. Les facteurs influents sur le rebond sont liés aux techniques de projection et à la formulation. Ce travail de thèse a pour objectif l'optimisation de la formulation du béton afin de réduire les pertes par rebond, mais également d'améliorer la durabilité. L'étude porte en particulier sur l'influence sur le rebond : du squelette granulaire, de la teneur en eau et de l'emploi d'additifs et/ou d'additions de substitution. Une approche modélisation du phénomène de rebond est également abordée. / Sprayed concrete is a concrete pneumatically projected onto a surface at high velocity. Dry-mix shotcrete is a process in which dry constituents are introduced into the machine and conveyed through a hose to the nozzle, where the water is added. This process is used in various civil engineering or construction projects; unfortunately, it can lead to high losses of concrete due to rebound (up to 40% of the total mass of material). Such losses induce overconsumption of material, which is damaging for the cost of the work and for the environment. Rebound depends on technicals parameters and mix design. The present work focuses on rebound reduction and also on durability enhancement by modification of the mix design. The influence of aggregate size distribution, water content and supplementary cimentitious material is studied. An analytical approach of rebound phenomenon is also implemented.

Concreto projetado é aquele pneumaticamente transportado e projetado a alta velocidade, sobre uma superficie, sendo auto-compactado. Assim, denota-se que suas propriedades são dependentes do processo de projeção utilizado. Desta forma, para se estudar o material, é importante ter-se o conhecimento do seu processo de produção (se por via seca ou úmida, equipamentos e mão-de-obra utilizados, etc.) e das propriedades especificas do concreto projetado (como a reflexão, o desplacamento e a liberação de poeira ou névoa) e as respectivas formas de controle. Foi executado o estudo experimental do concreto projetado via seca, onde foi possivel caracterizar algumas diferenças de comportamento em relação ao concreto convencional. Entre elas está o fato de que a maior compactação e resistência mecânica é obtida com o teor ótimo da mistura e não com a menor relação água/cimento. Constatou-se o fato da projeção do concreto no teto fornecer um material de melhor qualidade que aquele projetado na parede. Finalmente, para a obtenção de um material boa qualidade, é fundamental o controle rigoroso do teor de aditivo acelerador, a utilização de bicos afunilados, pressão de ar comprimido adequada, pré-umidificação com injeção de água sob pressão e seguir as recomendações para o controle da qualidade do processo de projeção como um todo. / Shotcrete is concrete pneumatically conveyed and projected at high speed onto a surface, compacting itself. Thus its properties depend on the shooting process. It is important to know the shooting process (wet ou dry-mix process, equipaments and working crew, etc.), the specific properties of shotcrete (rebound, sloughing and dust generation) and respective mean of controlo An experimental study was made using dry-mix shotcrete, where it was possible to point out some differences of the plain concrete analysis. One of these is the high compaction and stregth achieved with the optimum waterIdry materiaIs ratio and not the minimum water/cement ratio. Shotcrete, gunned in overhead, generates a better material compared to the vertical walls. Finally, to obtain a good quality material, it\'s very important to make a rigorous control of the accelerator admixture contento AIso, it is recommended to use a funnelshaped nozzle, adequate compressed air pressure, hidromix with high water pressure and to follow the recommendations on alI shotcreting process quality control.