A linearization-based system reliability method with application to geotechnical analysis

Los análisis de fiabilidad representan una herramienta adecuada para contemplar las incertidumbres inherentes que existen en los parámetros geotécnicos. En esta Tesis Doctoral se desarrolla una metodología basada en una linealización sencilla, que emplea aproximaciones de primer o segundo orden, para evaluar eficientemente la fiabilidad del sistema en los problemas geotécnicos. En primer lugar, se emplean diferentes métodos para analizar la fiabilidad de dos aspectos propios del diseño de los túneles: la estabilidad del frente y el comportamiento del sostenimiento. Se aplican varias metodologías de fiabilidad — el Método de Fiabilidad de Primer Orden (FORM), el Método de Fiabilidad de Segundo Orden (SORM) y el Muestreo por Importancia (IS). Los resultados muestran que los tipos de distribución y las estructuras de correlación consideradas para todas las variables aleatorias tienen una influencia significativa en los resultados de fiabilidad, lo cual remarca la importancia de una adecuada caracterización de las incertidumbres geotécnicas en las aplicaciones prácticas. Los resultados también muestran que tanto el FORM como el SORM pueden emplearse para estimar la fiabilidad del sostenimiento de un túnel y que el SORM puede mejorar el FORM con un esfuerzo computacional adicional aceptable. Posteriormente, se desarrolla una metodología de linealización para evaluar la fiabilidad del sistema en los problemas geotécnicos. Esta metodología solamente necesita la información proporcionada por el FORM: el vector de índices de fiabilidad de las funciones de estado límite (LSFs) que componen el sistema y su matriz de correlación. Se analizan dos problemas geotécnicos comunes —la estabilidad de un talud en un suelo estratificado y un túnel circular excavado en roca— para demostrar la sencillez, precisión y eficiencia del procedimiento propuesto. Asimismo, se reflejan las ventajas de la metodología de linealización con respecto a las herramientas computacionales alternativas. Igualmente se muestra que, en el caso de que resulte necesario, se puede emplear el SORM —que aproxima la verdadera LSF mejor que el FORM— para calcular estimaciones más precisas de la fiabilidad del sistema. Finalmente, se presenta una nueva metodología que emplea Algoritmos Genéticos para identificar, de manera precisa, las superficies de deslizamiento representativas (RSSs) de taludes en suelos estratificados, las cuales se emplean posteriormente para estimar la fiabilidad del sistema, empleando la metodología de linealización propuesta. Se adoptan tres taludes en suelos estratificados característicos para demostrar la eficiencia, precisión y robustez del procedimiento propuesto y se discuten las ventajas del mismo con respecto a otros métodos alternativos. Los resultados muestran que la metodología propuesta da estimaciones de fiabilidad que mejoran los resultados previamente publicados, enfatizando la importancia de hallar buenas RSSs —y, especialmente, adecuadas (desde un punto de vista probabilístico) superficies de deslizamiento críticas que podrían ser no-circulares— para obtener estimaciones acertadas de la fiabilidad de taludes en suelos. Reliability analyses provide an adequate tool to consider the inherent uncertainties that exist in geotechnical parameters. This dissertation develops a simple linearization-based approach, that uses first or second order approximations, to efficiently evaluate the system reliability of geotechnical problems. First, reliability methods are employed to analyze the reliability of two tunnel design aspects: face stability and performance of support systems. Several reliability approaches —the first order reliability method (FORM), the second order reliability method (SORM), the response surface method (RSM) and importance sampling (IS)— are employed, with results showing that the assumed distribution types and correlation structures for all random variables have a significant effect on the reliability results. This emphasizes the importance of an adequate characterization of geotechnical uncertainties for practical applications. Results also show that both FORM and SORM can be used to estimate the reliability of tunnel-support systems; and that SORM can outperform FORM with an acceptable additional computational effort. A linearization approach is then developed to evaluate the system reliability of series geotechnical problems. The approach only needs information provided by FORM: the vector of reliability indices of the limit state functions (LSFs) composing the system, and their correlation matrix. Two common geotechnical problems —the stability of a slope in layered soil and a circular tunnel in rock— are employed to demonstrate the simplicity, accuracy and efficiency of the suggested procedure. Advantages of the linearization approach with respect to alternative computational tools are discussed. It is also found that, if necessary, SORM —that approximates the true LSF better than FORM— can be employed to compute better estimations of the system’s reliability. Finally, a new approach using Genetic Algorithms (GAs) is presented to identify the fully specified representative slip surfaces (RSSs) of layered soil slopes, and such RSSs are then employed to estimate the system reliability of slopes, using our proposed linearization approach. Three typical benchmark-slopes with layered soils are adopted to demonstrate the efficiency, accuracy and robustness of the suggested procedure, and advantages of the proposed method with respect to alternative methods are discussed. Results show that the proposed approach provides reliability estimates that improve previously published results, emphasizing the importance of finding good RSSs —and, especially, good (probabilistic) critical slip surfaces that might be non-circular— to obtain good estimations of the reliability of soil slope systems.

Nonlinear seismic behaviour of concrete arch bridges

Arch bridge structural solution has been known for centuries, in fact the simple nature of arch that require low tension and shear strength was an advantage as the simple materials like stone and brick were the only option back in ancient centuries. By the pass of time especially after industrial revolution, the new materials were adopted in construction of arch bridges to reach longer spans. Nowadays one long span arch bridge is made of steel, concrete or combination of these two as "CFST", as the result of using these high strength materials, very long spans can be achieved. The current record for longest arch belongs to Chaotianmen bridge over Yangtze river in China with 552 meters span made of steel and the longest reinforced concrete type is Wanxian bridge which also cross the Yangtze river through a 420 meters span. Today the designer is no longer limited by span length as long as arch bridge is the most applicable solution among other approaches, i.e. cable stayed and suspended bridges are more reasonable if very long span is desired. Like any super structure, the economical and architectural aspects in construction of a bridge is extremely important, in other words, as a narrower bridge has better appearance, it also require smaller volume of material which make the design more economical. Design of such bridge, beside the high strength materials, requires precise structural analysis approaches capable of integrating the combination of material behaviour and complex geometry of structure and various types of loads which may be applied to bridge during its service life. Depend on the design strategy, analysis may only evaluates the linear elastic behaviour of structure or consider the nonlinear properties as well. Although most of structures in the past were designed to act in their elastic range, the rapid increase in computational capacity allow us to consider different sources of nonlinearities in order to achieve a more realistic evaluations where the dynamic behaviour of bridge is important especially in seismic zones where large movements may occur or structure experience P - _ effect during the earthquake. The above mentioned type of analysis is computationally expensive and very time consuming. In recent years, several methods were proposed in order to resolve this problem. Discussion of recent developments on these methods and their application on long span concrete arch bridges is the main goal of this research. Accordingly available long span concrete arch bridges have been studied to gather the critical information about their geometrical aspects and properties of their materials. Based on concluded information, several concrete arch bridges were designed for further studies. The main span of these bridges range from 100 to 400 meters. The Structural analysis methods implemented in in this study are as following: Elastic Analysis: Direct Response History Analysis (DRHA): This method solves the direct equation of motion over time history of applied acceleration or imposed load in linear elastic range. Modal Response History Analysis (MRHA): Similar to DRHA, this method is also based on time history, but the equation of motion is simplified to single degree of freedom system and calculates the response of each mode independently. Performing this analysis require less time than DRHA. Modal Response Spectrum Analysis (MRSA): As it is obvious from its name, this method calculates the peak response of structure for each mode and combine them using modal combination rules based on the introduced spectra of ground motion. This method is expected to be fastest among Elastic analysis. Inelastic Analysis: Nonlinear Response History Analysis (NL-RHA): The most accurate strategy to address significant nonlinearities in structural dynamics is undoubtedly the nonlinear response history analysis which is similar to DRHA but extended to inelastic range by updating the stiffness matrix for every iteration. This onerous task, clearly increase the computational cost especially for unsymmetrical buildings that requires to be analyzed in a full 3D model for taking the torsional effects in to consideration. Modal Pushover Analysis (MPA): The Modal Pushover Analysis is basically the MRHA but extended to inelastic stage. After all, the MRHA cannot solve the system of dynamics because the resisting force fs(u; u_ ) is unknown for inelastic stage. The solution of MPA for this obstacle is using the previously recorded fs to evaluate system of dynamics. Extended Modal Pushover Analysis (EMPA): Expanded Modal pushover is a one of very recent proposed methods which evaluates response of structure under multi-directional excitation using the modal pushover analysis strategy. In one specific mode,the original pushover neglect the contribution of the directions different than characteristic one, this is reasonable in regular symmetric building but a structure with complex shape like long span arch bridges may go through strong modal coupling. This method intend to consider modal coupling while it take same time of computation as MPA. Coupled Nonlinear Static Pushover Analysis (CNSP): The EMPA includes the contribution of non-characteristic direction to the formal MPA procedure. However the static pushovers in EMPA are performed individually for every mode, accordingly the resulted values from different modes can be combined but this is only valid in elastic phase; as soon as any element in structure starts yielding the neutral axis of that section is no longer fixed for both response during the earthquake, meaning the longitudinal deflection unavoidably affect the transverse one or vice versa. To overcome this drawback, the CNSP suggests executing pushover analysis for governing modes of each direction at the same time. This strategy is estimated to be more accurate than MPA and EMPA, moreover the calculation time is reduced because only one pushover analysis is required. Regardless of the strategy, the accuracy of structural analysis is highly dependent on modelling and numerical integration approaches used in evaluation of each method. Therefore the widely used Finite Element Method is implemented in process of all analysis performed in this research. In order to address the study, chapter 2, starts with gathered information about constructed long span arch bridges, this chapter continuous with geometrical and material definition of new models. Chapter 3 provides the detailed information about structural analysis strategies; furthermore the step by step description of procedure of all methods is available in Appendix A. The document ends with the description of results and conclusion of chapter 4.

Incorporación de escorias de aluminio en la fabricación de productos de Arcilla cocida

Las sociedades desarrolladas generan una gran cantidad de residuos, que necesitan una adecuada gestión. Esta problemática requiere, de este modo, una atención creciente por parte de la sociedad, debido a la necesidad de proteger el medio ambiente. En este sentido, los esfuerzos se centran en reducir al máximo la generación de residuos y buscar vías de aprovechamiento de aquellos que son inevitables, soluciones mucho más aconsejables desde el punto de vista técnico, ecológico y económico que su vertido o destrucción. Las industrias deben adoptar las medidas precisas para fomentar la reducción de estos residuos, desarrollar tecnologías limpias que permitan el ahorro de los recursos naturales que poseemos, y sobre todo buscar métodos de reutilización, reciclado, inertización y valorización de los residuos generados en su producción. La industria de la construcción es un campo muy receptivo para el desarrollo de nuevos materiales en los que incorporar estos residuos. La incorporación de diferentes residuos industriales en matrices cerámicas se plantea como una vía barata de fijar las diferentes especies metálicas presentes en transformación de rocas ornamentales, lodos de galvanización o metalúrgicos, etc. En todos los casos, la adición de estos residuos requiere su caracterización previa y la optimización de las condiciones de conformado y cocción en el caso de su incorporación a la arcilla cocida. Entre los residuos incorporados en materiales de construcción se encuentran las escorias de aluminio. La industria metalúrgica produce durante sus procesos de fusión diferentes tipos de escorias. Su reciclado es una de las líneas de interés para estas industrias. En el caso de las escorias de aluminio, su tratamiento inicial consiste en una recuperación del aluminio mediante métodos mecánicos seguido de un tratamiento químico, o plasma. Este método conduce a que la escoria final apenas contenga aluminio y sea rica en sales solubles lo que limita su almacenamiento en escombreras. La escoria es una mezcla de aluminio metal y productos no metálicos como óxidos, nitruros y carburos de aluminio, sales y otros óxidos metálicos. En este estudio se ha analizado la posibilidad de la adición de escorias de aluminio procedentes de la metalurgia secundaria en materiales de construcción, de forma que tras un procesado de las mismas permita la obtención de materiales compuestos de matriz cerámica. En la presente Tesis Doctoral se ha analizado la viabilidad técnica de la incorporación de las escorias de aluminio procedentes de la metalurgia secundaria en una matriz de arcilla cocida. Para ello se han aplicado diferentes tratamientos a la escoria y se han aplicado diferentes variables en su procesado como la energía de molienda o la temperatura de sinterizacion, además del contenido de escoria. Su compactación con agua entre el 5-10 %, secado y sinterización permite obtener piezas rectangulares de diverso tamaño. Desde el punto de vista del contenido de la escoria, se incorporó entre un 10 y 40% de escoria TT, es decir sometida una calcinación previa a 750ºC en aire. Los mejores resultados alcanzados corresponden a un contenido del 20% ESC TT, sinterizada a 980ºC, por cuanto altos contenidos en escoria condicen a piezas con corazón negro. Los productos obtenidos con la adición de 20% de escoria de aluminio a la arcilla, presentan una baja expansión tras sinterización, mejores propiedades físicas y mecánicas, y mayor conductividad térmica que los productos obtenidos con arcilla sin adiciones. Aumenta su densidad, disminuye su absorción y aumenta sus resistencias de flexión y compresión, al presentar una porosidad cerrada y una interacción escoria-matriz. En todos los casos se produce una exudación superficial de aluminio metálico, cuyo volumen está relacionado con la cantidad de escoria adicionada. Mediante la incorporación de este contenido de escoria, tras un tratamiento de disolución de sales y posterior calcinación (ESC TTQ), se mejoran las propiedades del material compuesto, no sólo sobre la de la escoria calcinada (ESC TT), sino también, sobre la escoria sin tratamiento (ESC). Si además, la adición del 20% de escoria añadida, está tratada, no sólo térmicamente sino también químicamente (ESC TTQ), éstas mejoran aún más las propiedades del material compuesto, siendo el producto más compacto, con menos poros, por lo que los valores de densidad son más elevados, menores son las absorciones y mayores resistencias de flexión y compresión, que los productos obtenidos con la adición de escoria sólo tratada térmicamente. Alcanzando valores de resistencias características a compresión del orden de 109 MPa. Los valores de conductividad térmica obtenidos también son mayores. Los ensayos tecnológicos con piezas de 160 x 30 x 5 mm y el material compuesto optimizado de arcilla+ 20%ESCTTQ, consistieron en la determinación de su expansión por humedad, eflorescencia y heladicidad, mostrando en general un mejor comportamiento que la arcilla sin adiciones. Así, se han obtenido nuevos materiales compuestos de matriz cerámica para la construcción, mejorando sus propiedades físicas, mecánicas y térmicas, utilizando escorias de aluminio procedentes de la metalurgia secundaria, como opción de valorización de estos residuos, evitando así, que se viertan a vertederos y contaminen el medio ambiente. ABSTRACT Developed societies generate a lot of waste, which need proper management. Thus, this problem requires increased attention from the society, due to the need to protect the environment. In this regard, efforts are focused on to minimize the generation of waste and find ways of taking advantage of those who are inevitable, much more advisable solutions from the technical, ecological and economic viewpoint to disposal or destruction. Industries should adopt precise measures to promote waste reduction, develop clean technologies that allow the saving of natural resources that we possess, and above all seek methods of reuse, recycling, recovery and valorisation of the waste generated in their production. The industry of the construction is a very receptive field for the development of new materials in which to incorporate these residues. The incorporation of different industrial residues in ceramic counterfoils appears as a cheap route to fix the different metallic present species in transformation of ornamental rocks, muds of galvanization or metallurgical, etc. In all the cases, the addition of these residues needs his previous characterization and the optimization of the conditions of conformed and of baking in case of his incorporation to the baked clay. Residues incorporated into construction materials include aluminium slag. The metallurgical industry produces during their fusion processes different types of slags. Recycling is one of the lines of interest to these industries. In the case of aluminium slag, their initial treatment consists of a recovery of the aluminium using mechanical methods followed by chemical treatment, or plasma. This method leads to that final slag just contains aluminium and is rich in soluble salts which limits storage in dumps. The slag is a mixture of aluminium metal and non-metallic such as oxides, nitrides and carbides of aluminium salts products and other metal oxides. The present Doctoral thesis has analysed the technical viability of the incorporation of aluminium slag from secondary Metallurgy in an array of baked clay. So they have been applied different treatments to the slag and have been applied different variables in its processing as the temperature of sintering, in addition to the content of slag or energy grinding. Its compaction with water between 5-10%, drying and sintering allows rectangular pieces of different size. From the point of view of the content of the slag, it is incorporated between 10 and 40% slag TT, that is to say, submitted a calcination prior to 750 ° C in air. The best results achieved correspond to 20% ESC TT, sintered at 980 ° C, as high levels of slag in accordance to pieces with black heart. The products obtained with the addition of 20% of slag from aluminium to clay, present a low expansion after sintering, better physical properties and mechanical, and higher thermal conductivity than the products obtained with clay, without addictions. Its density increases, decreases its absorption and increases its resistance to bending and compression, introducing a closed porosity and slag-matrix interaction. In all cases there is a superficial exudation of metallic aluminium, whose volume is related to the amount of slag added. By incorporating this content of slag, following a treatment of salt solution and subsequent calcination (ESC TTQ), are improved the properties of composite material not only on the calcined slag (ESC TT), but also in the slag without treatment (ESC). If the addition of 20% of slag added, is also treated, not only thermally but also chemically (ESC TTQ), they further improve the properties of the composite material, the product is more compact, less porous, so the values are higher density, minors are absorptions and greater resistance in bending and compression, to the products obtained with the addition of slag only treated thermally. Reaching values of compressive resistance characteristic of the order of 109 MPa. The thermal conductivity values obtained are also higher. Testing technology with pieces of 160 x 30 x 5 mm and optimized composite material of clay 20% ESCTTQ, consisted in the determination of its expansion by moisture, efflorescence and frost resistance, in general, showing a better performance than the clay without additions. Thus, we have obtained new ceramic matrix composite materials for construction, improving its physical, mechanical and thermal properties, using aluminium slag secondary metallurgy, as an option Valuation of these wastes, thus preventing them from being poured to landfills and pollute environment.

Simultaneous determination of multiclass emerging contaminants in aquatic plants by ultrasound assisted matrix solid phase dispersion and GC-MS

A multiresidue method was developed for the simultaneous determination of 31 emerging contaminants (pharmaceutical compounds, hormones, personal care products, biocides and flame retardants) in aquatic plants. Analytes were extracted by ultrasound assisted-matrix solid phase dispersion (UA-MSPD) and determined by gas chromatography-mass spectrometry after sylilation. The method was validated for different aquatic plants (Typha angustifolia, Arundo donax and Lemna minor) and a semiaquatic cultivated plant (Oryza sativa) with good recoveries at concentrations of 100 and 25 ng g-1 wet weight, ranging from 70 to 120 %, and low method detection limits (0.3 to 2.2 ng g-1 wet weight). A significant difference of the chromatographic response was observed for some compounds in neat solvent versus matrix extracts and therefore quantification was carried out using matrix-matched standards in order to overcome this matrix effect. Aquatic plants taken from rivers located at three Spanish regions were analyzed and the compounds detected were parabens, bisphenol A, benzophenone-3, cyfluthrin and cypermethrin. The levels found ranged from 6 to 25 ng g-1 wet weight except for cypermethrin that was detected at 235 ng g-1 wet weight in Oryza sativa samples.

Application of the Boundary Method to the determination of the properties of the beam cross-sections

Using the 3-D equations of linear elasticity and the asylllptotic expansion methods in terms of powers of the beam cross-section area as small parameter different beam theories can be obtained, according to the last term kept in the expansion. If it is used only the first two terms of the asymptotic expansion the classical beam theories can be recovered without resort to any "a priori" additional hypotheses. Moreover, some small corrections and extensions of the classical beam theories can be found and also there exists the possibility to use the asymptotic general beam theory as a basis procedure for a straightforward derivation of the stiffness matrix and the equivalent nodal forces of the beam. In order to obtain the above results a set of functions and constants only dependent on the cross-section of the beam it has to be computed them as solutions of different 2-D laplacian boundary value problems over the beam cross section domain. In this paper two main numerical procedures to solve these boundary value pf'oblems have been discussed, namely the Boundary Element Method (BEM) and the Finite Element Method (FEM). Results for some regular and geometrically simple cross-sections are presented and compared with ones computed analytically. Extensions to other arbitrary cross-sections are illustrated.