General Report on Main Session 4: Embankments and dams, slope stability and landslides

The General Reporter presents the papers from the Authors, along with some personal contributions on the subjects discussed. Embankments are classified by their use. Different kinds of slope failure and remedial measures are dealt with, as well as investigations for material characterisation and selection.

A genetic algorithm for slope stability analyses with concave slip surfaces using custom operators

Heuristic methods are popular tools to find critical slip surfaces in slope stability analyses. A new genetic algorithm (GA) is proposed in this work that has a standard structure but a novel encoding and generation of individuals with custom-designed operators for mutation and crossover that produce kinematically feasible slip surfaces with a high probability. In addition, new indices to assess the efficiency of operators in their search for the minimum factor of safety (FS) are proposed. The proposed GA is applied to traditional benchmark examples from the literature, as well as to a new practical example. Results show that the proposed GA is reliable, flexible and robust: it provides good minimum FS estimates that are not very sensitive to the number of nodes and that are very similar for different replications

Caracterización de los parámetros de resistencia al corte y erosionabilidad del suelo para su aplicación en los problemas de estabilidad de taludes en obras lineales

La tesis se organiza en un volumen de Memoria integrada por once capítulos que constituyen el cuerpo de la tesis y otro volumen de Apéndices titulado “Caracterización geotécnica de Base de los suelos de España” que reúne en forma de cuadros las características de textura, permeabilidad, humedad-succión, erosionabilidad y resistencia al corte de los cuarenta y dos perfiles de suelos representativos de los tipos del Mapa de suelos De España. Estos cuadros han sido elaborados originalmente por la doctorando durante sus estudios para la obtención del DEA de la Suficiencia Investigadora, excepto los de resistencia al corte que lo han sido también por la doctorando de forma original, pero ya en la etapa de redacción de la tesis. En el Capítulo 1 “Introducción” se describe la motivación, antecedentes, alcance y contenido de la tesis, ordenado según el índice que en él se incluye. Los Capítulos 2 “Meteorización, 3 “Balance Hídrico” y 4 “Humedades características” constituyen el “estado del arte” en el momento actual de los temas de geotecnia ambiental relacionados con la degradación de la superficie terrestre y la estabilidad de taludes. El Capítulo 2, tras matizar algunas generalidades, aporta elementos para la cuantificación de la alteración de rocas como el “índice climático de Weinert” y de la erosión de suelos como la “ecuación universal de pérdida de suelo (U.S.L.E.)” El Capítulo 3, partiendo de los fenómenos de precipitación y evapotranspiración, plantea el balance hídrico en vertientes con instrumentos para evaluar la infiltración y la escorrentía, conceptos imprescindibles para adentrarse en los de resistencia y erosionabilidad del conjunto suelo-agua. En los Apéndices A1 y A2, se recogen valores de coeficientes de infiltración en condiciones saturadas y no saturadas de los perfiles de suelos del Mapa de España. El Capítulo 4 se dedica al estudio de este conjunto suelo-agua con la definición de conceptos que lo caracterizan, basados en la relación entre los contenidos de ambos elementos o “humedad”, sus valores máximos y mínimos y la forma en la que es retenida el agua por el suelo. Este capítulo acaba con el concepto de “Curva característica Suelo-Agua/Soil Water Characteristic curve (SWCC)”, que liga el contenido de agua de un suelo con la tensión a la que está retenida (uauw) “succión” o con su expresión más usual “pF”. En el Apéndice A 3 se adjuntan las SWCC de los perfiles de suelos del Mapa de suelos de España. En el Capítulo 5 “Resistencia al corte de los suelos”, se detalla la influencia que tienen sobre la resistencia de los suelos factores como el paso del tiempo, el contenido de humedad y la presencia y tipo de vegetación en la superficie del suelo estudiado. El Capítulo 6 “Evaluación de la erosión”, analiza el factor de erosionabilidad del suelo “factor K” de la U.S.L.E., su evaluación en función de la textura, estructura y permeabilidad del suelo, con la estimación hecha para los cuarenta y dos perfiles de suelos del Mapa de España, contenida en el Apéndice 4. En el Capítulo 7 “Metodología de diseño” se hacen en su primera parte unas consideraciones geoambientales de diseño aplicables al estudio de los problemas de inestabilidades en taludes. La segunda parte constituye el núcleo de la tesis con la propuesta de “estimación de los parámetros de resistencia al corte del suelo”, consecuente con las teorías y metodología de análisis expuesta en los capítulos anteriores. En el Apéndice A 5 se presentan los valores de los parámetros coulombianos de resistencia al corte, ”c y Ф” estimados según la caracterización climática a partir del índice de Thornthwaite, en condicionesde diseño para humedades naturales máxima y mínima de los cuarenta y dos perfiles de suelos del Mapa de suelos de España. El Capítulo 8 “Aplicación a casos reales” se considera de gran interés al constituir una auténtica continuación de la segunda parte del capítulo anterior, desarrollando la metodología expuesta en él a cuatro problemáticas de infraestructuras de obras lineales, relacionadas con problemas de erosión y deslizamientos en taludes. El Capítulo 9 “Ensayos de referencia” se incluye como punto de apoyo (referencia) a las teorías expuestas, valorando la idoneidad de los tipos de ensayos y tipos de suelos seleccionados (Laboratorio de Geotecnia del CEDEX y Laboratorio Hong-Kong University of Science and Technology), utilizados para la obtención, por correlaciones deducidas, de las curvas SWCC de los perfiles de suelos del Mapa de España, incluídas en el Apéndice A 3, como se ha citado antes. En el Capítulo 10 “Conclusiones y Futuras Líneas de Investigación”se apuntan en primer lugar unas conclusiones que, a juicio de la doctorando, se pueden extraer con interés de esta tesis y a continuación se esbozan unas posibles líneas de investigación, fundamentalmente de tipo experimental, que complementarían los avances derivados de esta tesis o podrían esclarecer y abrir nuevas interpretaciones de los fenómenos naturales de erosión y estabilidad de taludes en los que ésta se ha centrado. Finalmente, en el Capítulo 11 “Bibliografía” se han reunido 328 referencias que reflejan una visión amplia y bastante completa del tema tratado, obtenida complementando las de tesis anteriores sobre esta singular materia (“Efecto estabilizador de la vegetación en taludes”, L Fort 1975 y “Determinación de las características de fricción en el contacto suelo-geotextil a diferentes succiones, mediante equipos de laboratorio singulares”, E Asanza 2009), con propias de la doctorando (9) y las consideradas de mayor interés de los últimos Congresos sobre Suelos no saturados,”Unsat 95”, “Unsat 2002” y “Unsat 2011” entre otros. ABSTRACT The thesis is organized in a volume of Memory composed of eleven chapters that make up the body of the thesis and other Appendices volume entitled "Geotechnical characterization of basis of the soils of Spain" that combines the characteristics of texture, permeability, moisture-suction, erosionability, and shear strength of forty-two profiles of soils representative of the types of the soil of Spain map in the form of pictures. These pictures have been produced originally by the student during their studies to obtain the DEA of the research, except those of the shear strength, also been done by the PhD student in an original way, but already at the stage of drafting of the thesis. Chapter 1 "Introducción" describes the motivation, background, scope and content of the thesis, ordered according to the index that is included. The Chapters: 2 "Weathering, 3 “Water Balance” and 4 “moisture characteristics" are the "State of the art" at the present time of geotechnical environmental issues related to the degradation of the Earth's surface and the slope stability. Chapter 2 after clarify some general information, provides elements for the quantification of the alteration of rocks as "Weinert climate index" and soil erosion as the "universal equation of loss of soil (U.S.L.E.)" Chapter 3, on the basis of the phenomena of precipitation and evapotranspiration, raises the water balance in sheds with instruments to evaluate infiltration and runoff, essential concepts into the resistance and erosionability water-soil joint. Values of soils coefficients of infiltration in saturated and unsaturated conditions from the Spain map of profiles are collected in the Appendices A1 and A2. Chapter 4 is dedicated to the study of this joint “soil-water”, with the definition of concepts that characterize it, based on the relationship between the contents of both elements or “moisture”, their maximum and minimum values and the way in which water is retained by the soil. This chapter ends with the concept of “Soil Water Characteristic curve (SWCC)", which linked the water content of a soil with the stress that it is retained (ua-uw) "suction" or its expression more usual "pF". The SWCC of the profiles of soils of the Spain soils Map are attached in the Appendix 3. In Chapter 5 “Soils shear strength”,is detailed the influence that they have on the resistance of soils factors such as the passage of time, the content of moisture and the presence and type of vegetation on the surface of the studied soil. Chapter 6 "Assessment of erosion", analyses the soil erodibility factor "Kfactor" of the U.S.L.E., its evaluation based on texture, structure and permeability of the soil, with the estimate for forty-two profiles of soils on the Spain Soils Map, contained in Appendix 4. Chapter 7 "Design methodology" some considerations are made in the first part geo-environmental design applicable to the study of the problems of instabilities in slopes. The second part constitutes the core of the thesis with the proposal of “estimation of parameters of shear strength”, of the soils consistent with theories and analytical methodology outlined in the previous chapters. Appendix A 5 presents the values of the coulombians parameters of shear strength, "c and Ф" according to the characterization of climate from the index of Thornthwaite, in design for natural moisture conditions maximum and minimum of forty-two profils of Spain Soils Map Chapter 8 "Application to real cases" is considered of great interest to constitute a true continuation of the second part of the previous chapter, developing the methodology exposed it to four problems of civil-works infrastructure, related to problems of erosion and landslides in slopes. Chapter 9 "Tests of reference" is included as point of support (reference) to the theories exposed, assessing the suitability of the types of tests and types of selected soils (Geotechnical laboratory of CEDEX and laboratory Hongkong University of Science and Technology), used to obtain, by deduced correlations, of curves SWCC of soils profiles on the Spain Soils Map, included in Appendix A. 3, as it was mentioned before. Chapter 10 "Conclusions and future research lines" are running first conclusions which, in the opinion of the candidate, can be extracted with interest of this thesis, and then, it outlines some possible lines of research, mainly experimental, which would complement the advances arising from this thesis or could clarify and open new interpretations of natural phenomena of erosion and slope stability in which it has focused. Finally, in Chapter 11 "Bibliography" 328 references have been included which reflect a broad and fairly comprehensive view of the subject matter, obtained complementing those of the previous theses on this singular issue ("Vegetation stabilizing effect on slopes", L Fort 1975, and "Determination of the characteristics of friction in the contact soil-geotextile to different-suctions, through special laboratory equipment", E Asanza 2009) with some of them from of the candidate (9) and the others from of the considered as the most interesting of recent conferences on unsaturated soils, "Unsat 95", "Unsat2002" and "Unsat 2011" among others.

Control de movimientos en presas de hormigón mediante DGPS. Comparación con otros métodos de auscultación e implicaciones para la seguridad. Estudio de caso en la presa de La Aceña (Ávila)

Las normativas que regulan la seguridad de las presas en España han recogido la necesidad de conocer los desplazamientos y deformaciones de sus estructuras y cimientos. A día de hoy, son muchas las presas en explotación que no cuentan con un sistema de auscultación adecuado para controlar este tipo de variables, ya que la instalación de métodos clásicos de precisión en las mismas podría no ser viable técnicamente y, de serlo, supondría un coste económico importante y una dudosa garantía del proceso de ejecución de la obra civil correspondiente. Con el desarrollo de las nuevas tecnologías, la informática y las telecomunicaciones, han surgido nuevos sistemas de auscultación de desplazamientos. Los sistemas GPS actuales, diseñados para el control de estructuras, guiado de maquinaria, navegación y topografía, estabilidad de taludes, subsidencias, etc. permiten alcanzar precisiones centimétricas. El sistema de control de movimientos basado en la tecnología DGPS (GPS diferencial) combinada con un filtro estadístico con el que se alcanzan sensibilidades de hasta ±1 mm en el sistema, suficientes para una auscultación normal de presas según los requerimientos de la normativa actual. Esta exactitud se adapta a los desplazamientos radiales de las presas, donde son muy comunes valores de amplitudes en coronación de hasta 15 mm en las de gravedad y de hasta 45 mm en el caso de las presas bóveda o arco. La presente investigación tiene por objetivo analizar la viabilidad del sistema DGPS en el control de movimientos de presas de hormigón comparando los diferentes sistemas de auscultación y su correlación con las variables físicas y las vinculadas al propio sistema GPS diferencial. Ante la necesidad de dar respuesta a estas preguntas y de validar e incorporar a la mencionada tecnología en la ingeniería civil en España, se ha llevado a cabo un estudio de caso en La Aceña (Ávila). Esta es una de las pocas presas españolas que se está controlando con dicha tecnología y de forma simultánea con los sistemas clásicos de auscultación y algunos otros de reciente aplicación La presente investigación se ha organizado con idea de dar respuesta a varias preguntas que el explotador de presas se plantea y que no se analizan en el estado del arte de la técnica: cómo hacer la configuración espacial del sistema y cuáles son los puntos necesarios que se deben controlar, qué sistemas de comunicaciones son los más fiables, cuáles son los costes asociados, calibración del software, vida útil y mantenimientos requeridos, así como la posibilidad de telecontrolar los datos. Entre las ventajas del sistema DGPS, podemos señalar su bajo coste de implantación y posibilidad de controlarlo de forma remota, así como la exactitud y carácter absoluto de los datos. Además, está especialmente indicado para presas aisladas o mal comunicadas y para aquellas otras en las que el explotador no tiene referencia alguna de la magnitud de los desplazamientos o deformaciones propias de la presa en toda su historia. Entre los inconvenientes de cualquier sistema apoyado en las nuevas tecnologías, destaca la importancia de las telecomunicaciones ya sea en el nivel local en la propia presao desde su ubicación hasta el centro de control de la explotación. Con la experiencia alcanzada en la gestión de la seguridad de presas y sobre la base de la reciente implantación de los nuevos métodos de auscultación descritos, se ha podido analizar cada una de sus ventajas e inconvenientes. En el capítulo 5, se presenta una tabla de decisión para el explotador que servirá como punto de partida para futuras inversiones. El impacto de esta investigación se ha visto reflejado en la publicación de varios artículos en revistas indexadas y en el debate suscitado entre gestores y profesionales del sector en los congresos nacionales e internacionales en los que se han presentado resultados preliminares. All regulations on the safety of dams in Spain have collected the need to know the displacements and deformations of the structure and its foundation. Today there are many dams holding not have an adequate system of auscultation to control variables such as the installation of classical methods of precision in the same might not be technically feasible, and if so, would cost important economic and guarantee the implementation process of the dubious civil works. With the development of new technologies, computing and telecommunications, new displacements auscultation systems have emerged. Current GPS systems designed to control structures, machine guidance, navigation and topography, slope stability, subsidence, etc, allow to reach centimeter-level accuracies. The motion control system based on DGPS technology applies a statistical filter that sensitivities are achieved in the system to ± 1 mm, sufficient for normal auscultation of dams as required by current regulations. This accuracy is adapted to the radial displacement of dams, which are common values in coronation amplitudes up to 15 mm in gravity dams and up to 45 mm in arch or arc dams. This research aims to analyze the feasibility of DGPS system in controlling movements of concrete dams, comparing the different systems auscultation and its correlation with physical variables and linked to differential GPS system itself. Given the need to answer this question and to validate and incorporate this technology to civil engineering in Spain, has conducted a case study in real time at the dam La Aceña (Ávila). This dam is one of the few Spanish companies, which are controlling with this technology and simultaneously with the classic auscultation systems and some other recent application. This research has been organized with a view to responding to questions that the dam operator arises and in the state of the art technique not discussed: how to make spatial configuration of the system and what are the necessary control points what communication systems are the most reliable, what are the associated costs, calibration software, service life and maintenance requirements, possibility of monitoring, etc. Among the advantages we can point to its low cost of implementation, the possibility of remote, high accuracy and absolute nature of the data. It could also be suitable for those isolated or poorly communicated dams and those in which the operator has no reference to the magnitude of displacements or deformations own prey in its history. The disadvantages of any system based on the new technologies we highlight the importance of telecommunications, either locally or from this dam control center of the farm. With the experience gained in the management of dam safety and based on the recent introduction of new methods of auscultation described, it has been possible to analyze each of their advantages and disadvantages. A decision table for the operator, which will serve as a starting point for future investments is presented. The impact of research, has been reflected in the publication of several articles in refereed journals and discussion among managers and professionals in national and international conferences in which they participated.

Determination of critical slip surfaces using mutative scale chaos optimization

Limit equilibrium is a common method used to analyze the stability of a slope, and minimization of the factor of safety or identification of critical slip surfaces is a classical geotechnical problem in the context of limit equilibrium methods for slope stability analyses. A mutative scale chaos optimization algorithm is employed in this study to locate the noncircular critical slip surface with Spencer’s method being employed to compute the factor of safety. Four examples from the literature—one homogeneous slope and three layered slopes—are employed to identify the efficiency and accuracy of this approach. Results indicate that the algorithm is flexible and that although it does not generally provide the minimum FS, it provides results that are close to the minimum, an improvement over other solutions proposed in the literature and with small relative errors with respect to other minimum factor of safety (FS) values reported in the literature.

Experimental and numerical assessment of the aeroelastic stability of blade pair packages

The stabilizing effect of grouping rotor blades in pairs has been assessed both, numerically and experimentally. The bending and torsion modes of a low aspect ratio high speed turbine cascade tested in the non-rotating test facility at EPFL (Ecole Polytechnique Fédérale de Lausanne) have been chosen as the case study. The controlled vibration of 20 blades in travelling wave form was performed by means of an electromagnetic excitation system, enabling the adjustement of the vibration amplitude and inter blade phase at a given frequency. Unsteady pressure transducers located along the blade mid-section were used to obtain the modulus and phase of the unsteady pressure caused by the airfoil motion. The stabilizing effect of the torsion mode was clearly observed both in the experiments and the simulations, however the effect of grouping the blades in pairs in the minimum damping at the tested frequency was marginal in the bending mode. A numerical tool was validated using the available experimental data and then used to extend the results at lower and more relevant reduced frequencies. It is shown that the stabilizing effect exists for the bending and torsion modes in the frequency range typical of low-pressure turbines. It is concluded that the stabilizing effect of this configuration is due to the shielding effect of the pressure side of the airfoil that defines the passage of the pair on the suction side of the same passage, since the relative motion between both is null. This effect is observed both in the experiments and simulations.

Numerical simulation of the evolution of viscous rotating drops

In this contribution we simulate numerically the evolution of a viscous fluid drop rotating about a fixed axis at constant angular velocity ? or constant angular momentum L, surrounded by another viscous fluid. The problem is considered in the limit of large Ekman number and small Reynolds number. In the lecture we will describe the numerical method we have used to solve the PDE system that describes the evolution of the drop (3D boundary element method). We will also present the results we have obtained, paying special attention to the stability/instability of the equilibrium shapes.

A robust numerical framework for the analysis of material failure of fibre reinforced soft tissue

In this work, robustness and stability of continuum damage models applied to material failure in soft tissues are addressed. In the implicit damage models equipped with softening, the presence of negative eigenvalues in the tangent elemental matrix degrades the condition number of the global matrix, leading to a reduction of the computational performance of the numerical model. Two strategies have been adapted from literature to improve the aforementioned computational performance degradation: the IMPL-EX integration scheme [Oliver,2006], which renders the elemental matrix contribution definite positive, and arclength-type continuation methods [Carrera,1994], which allow to capture the unstable softening branch in brittle ruptures. The IMPL-EX integration scheme has as a major drawback the need to use small time steps to keep numerical error below an acceptable value. A convergence study, limiting the maximum allowed increment of internal variables in the damage model, is presented. Finally, numerical simulation of failure problems with fibre reinforced materials illustrates the performance of the adopted methodology.

Coupling time-stepping numerical methods and standard aerodynamics codes for instability analysis of flows in complex geometries

The development of a global instability analysis code coupling a time-stepping approach, as applied to the solution of BiGlobal and TriGlobal instability analysis 1, 2 and finite-volume-based spatial discretization, as used in standard aerodynamics codes is presented. The key advantage of the time-stepping method over matrix-formulation approaches is that the former provides a solution to the computer-storage issues associated with the latter methodology. To-date both approaches are successfully in use to analyze instability in complex geometries, although their relative advantages have never been quantified. The ultimate goal of the present work is to address this issue in the context of spatial discretization schemes typically used in industry. The time-stepping approach of Chiba 3 has been implemented in conjunction with two direct numerical simulation algorithms, one based on the typically-used in this context high-order method and another based on low-order methods representative of those in common use in industry. The two codes have been validated with solutions of the BiGlobal EVP and it has been showed that small errors in the base flow do not have affect significantly the results. As a result, a three-dimensional compressible unsteady second-order code for global linear stability has been successfully developed based on finite-volume spatial discretization and time-stepping method with the ability to study complex geometries by means of unstructured and hybrid meshes

Modelización de costas rocosas acantiladas

El retroceso de las costas acantiladas es un fenómeno muy extendido sobre los litorales rocosos expuestos a la incidencia combinada de los procesos marinos y meteorológicos que se dan en la franja costera. Este fenómeno se revela violentamente como movimientos gravitacionales del terreno esporádicos, pudiendo causar pérdidas materiales y/o humanas. Aunque el conocimiento de estos riesgos de erosión resulta de vital importancia para la correcta gestión de la costa, el desarrollo de modelos predictivos se encuentra limitado desde el punto de vista geomorfológico debido a la complejidad e interacción de los procesos de desarrollo espacio-temporal que tienen lugar en la zona costera. Los modelos de predicción publicados son escasos y con importantes inconvenientes: a) extrapolación, extienden la información de registros históricos; b) empíricos, sobre registros históricos estudian la respuesta al cambio de un parámetro; c) estocásticos, determinan la cadencia y magnitud de los eventos futuros extrapolando las distribuciones de probabilidad extraídas de catálogos históricos; d) proceso-respuesta, de estabilidad y propagación del error inexplorada; e) en Ecuaciones en Derivadas Parciales, computacionalmente costosos y poco exactos. La primera parte de esta tesis detalla las principales características de los modelos más recientes de cada tipo y, para los más habitualmente utilizados, se indican sus rangos de aplicación, ventajas e inconvenientes. Finalmente como síntesis de los procesos más relevantes que contemplan los modelos revisados, se presenta un diagrama conceptual de la recesión costera, donde se recogen los procesos más influyentes que deben ser tenidos en cuenta, a la hora de utilizar o crear un modelo de recesión costera con el objetivo de evaluar la peligrosidad (tiempo/frecuencia) del fenómeno a medio-corto plazo. En esta tesis se desarrolla un modelo de proceso-respuesta de retroceso de acantilados costeros que incorpora el comportamiento geomecánico de materiales cuya resistencia a compresión no supere los 5 MPa. El modelo simula la evolución espaciotemporal de un perfil-2D del acantilado que puede estar formado por materiales heterogéneos. Para ello, se acoplan la dinámica marina: nivel medio del mar, cambios en el nivel medio del lago, mareas y oleaje; con la evolución del terreno: erosión, desprendimiento rocoso y formación de talud de derrubios. El modelo en sus diferentes variantes es capaz de incluir el análisis de la estabilidad geomecánica de los materiales, el efecto de los derrubios presentes al pie del acantilado, el efecto del agua subterránea, la playa, el run-up, cambios en el nivel medio del mar o cambios (estacionales o interanuales) en el nivel medio de la masa de agua (lagos). Se ha estudiado el error de discretización del modelo y su propagación en el tiempo a partir de las soluciones exactas para los dos primeros periodos de marea para diferentes aproximaciones numéricas tanto en tiempo como en espacio. Los resultados obtenidos han permitido justificar las elecciones que minimizan el error y los métodos de aproximación más adecuados para su posterior uso en la modelización. El modelo ha sido validado frente a datos reales en la costa de Holderness, Yorkshire, Reino Unido; y en la costa norte del lago Erie, Ontario, Canadá. Los resultados obtenidos presentan un importante avance en los modelos de recesión costera, especialmente en su relación con las condiciones geomecánicas del medio, la influencia del agua subterránea, la verticalización de los perfiles rocosos y su respuesta ante condiciones variables producidas por el cambio climático (por ejemplo, nivel medio del mar, cambios en los niveles de lago, etc.). The recession of coastal cliffs is a widespread phenomenon on the rocky shores that are exposed to the combined incidence of marine and meteorological processes that occur in the shoreline. This phenomenon is revealed violently and occasionally, as gravitational movements of the ground and can cause material or human losses. Although knowledge of the risks of erosion is vital for the proper management of the coast, the development of cliff erosion predictive models is limited by the complex interactions between environmental processes and material properties over a range of temporal and spatial scales. Published prediction models are scarce and present important drawbacks: extrapolation, that extend historical records to the future; empirical, that based on historical records studies the system response against the change in one parameter; stochastic, that represent of cliff behaviour based on assumptions regarding the magnitude and frequency of events in a probabilistic framework based on historical records; process-response, stability and error propagation unexplored; PDE´s, highly computationally expensive and not very accurate. The first part of this thesis describes the main features of the latest models of each type and, for the most commonly used, their ranges of application, advantages and disadvantages are given. Finally as a synthesis of the most relevant processes that include the revised models, a conceptual diagram of coastal recession is presented. This conceptual model includes the most influential processes that must be taken into account when using or creating a model of coastal recession to evaluate the dangerousness (time/frequency) of the phenomenon to medium-short term. A new process-response coastal recession model developed in this thesis has been designed to incorporate the behavioural and mechanical characteristics of coastal cliffs which are composed of with materials whose compressive strength is less than 5 MPa. The model simulates the spatial and temporal evolution of a cliff-2D profile that can consist of heterogeneous materials. To do so, marine dynamics: mean sea level, waves, tides, lake seasonal changes; is coupled with the evolution of land recession: erosion, cliff face failure and associated protective colluvial wedge. The model in its different variants can include analysis of material geomechanical stability, the effect of debris present at the cliff foot, groundwater effects, beach and run-up effects, changes in the mean sea level or changes (seasonal or inter-annual) in the mean lake level. Computational implementation and study of different numerical resolution techniques, in both time and space approximations, and the produced errors are exposed and analysed for the first two tidal periods. The results obtained in the errors analysis allow us to operate the model with a configuration that minimizes the error of the approximation methods. The model is validated through profile evolution assessment at various locations of coastline retreat on the Holderness Coast, Yorkshire, UK and on the north coast of Lake Erie, Ontario, Canada. The results represent an important stepforward in linking material properties to the processes of cliff recession, in considering the effect of groundwater charge and the slope oversteeping and their response to changing conditions caused by climate change (i.e. sea level, changes in lakes levels, etc.).

Efficient numerical methods for global linear instability. Analysis and modeling of non-orthogonal swept attachment-line boundary layer flow

The aim of this thesis is to study the mechanisms of instability that occur in swept wings when the angle of attack increases. For this, a simplified model for the a simplified model for the non-orthogonal swept leading edge boundary layer has been used as well as different numerical techniques in order to solve the linear stability problem that describes the behavior of perturbations superposed upon this base flow. Two different approaches, matrix-free and matrix forming methods, have been validated using direct numerical simulations with spectral resolution. In this way, flow instability in the non-orthogonal swept attachment-line boundary layer is addressed in a linear analysis framework via the solution of the pertinent global (Bi-Global) PDE-based eigenvalue problem. Subsequently, a simple extension of the extended G¨ortler-H¨ammerlin ODEbased polynomial model proposed by Theofilis, Fedorov, Obrist & Dallmann (2003) for orthogonal flow, which includes previous models as particular cases and recovers global instability analysis results, is presented for non-orthogonal flow. Direct numerical simulations have been used to verify the stability results and unravel the limits of validity of the basic flow model analyzed. The effect of the angle of attack, AoA, on the critical conditions of the non-orthogonal problem has been documented; an increase of the angle of attack, from AoA = 0 (orthogonal flow) up to values close to _/2 which make the assumptions under which the basic flow is derived questionable, is found to systematically destabilize the flow. The critical conditions of non-orthogonal flows at 0 _ AoA _ _/2 are shown to be recoverable from those of orthogonal flow, via a simple analytical transformation involving AoA. These results can help to understand the mechanisms of destabilization that occurs in the attachment line of wings at finite angles of attack. Studies taking into account variations of the pressure field in the basic flow or the extension to compressible flows are issues that remain open. El objetivo de esta tesis es estudiar los mecanismos de la inestabilidad que se producen en ciertos dispositivos aerodinámicos cuando se aumenta el ángulo de ataque. Para ello se ha utilizado un modelo simplificado del flujo de base, así como diferentes técnicas numéricas, con el fin de resolver el problema de estabilidad lineal asociado que describe el comportamiento de las perturbaciones. Estos métodos; sin y con formación de matriz, se han validado utilizando simulaciones numéricas directas con resolución espectral. De esta manera, la inestabilidad del flujo de capa límite laminar oblicuo entorno a la línea de estancamiento se aborda en un marco de análisis lineal por medio del método Bi-Global de resolución del problema de valores propios en derivadas parciales. Posteriormente se propone una extensión simple para el flujo no-ortogonal del modelo polinomial de ecuaciones diferenciales ordinarias, G¨ortler-H¨ammerlin extendido, propuesto por Theofilis et al. (2003) para el flujo ortogonal, que incluye los modelos previos como casos particulares y recupera los resultados del analisis global de estabilidad lineal. Se han realizado simulaciones directas con el fin de verificar los resultados del análisis de estabilidad así como para investigar los límites de validez del modelo de flujo base utilizado. En este trabajo se ha documentado el efecto del ángulo de ataque AoA en las condiciones críticas del problema no ortogonal obteniendo que el incremento del ángulo de ataque, de AoA = 0 (flujo ortogonal) hasta valores próximos a _/2, en el cual las hipótesis sobre las que se basa el flujo base dejan de ser válidas, tiende sistemáticamente a desestabilizar el flujo. Las condiciones críticas del caso no ortogonal 0 _ AoA _ _/2 pueden recuperarse a partir del caso ortogonal mediante el uso de una transformación analítica simple que implica el ángulo de ataque AoA. Estos resultados pueden ayudar a comprender los mecanismos de desestabilización que se producen en el borde de ataque de las alas de los aviones a ángulos de ataque finitos. Como tareas pendientes quedaría realizar estudios que tengan en cuenta variaciones del campo de presión en el flujo base así como la extensión de éste al caso de flujos compresibles.

Elastoplastic consolidation at finite strain. Part 2: finite element implementation and numerical examples

A mathematical model for finite strain elastoplastic consolidation of fully saturated soil media is implemented into a finite element program. The algorithmic treatment of finite strain elastoplasticity for the solid phase is based on multiplicative decomposition and is coupled with the algorithm for fluid flow via the Kirchhoff pore water pressure. A two-field mixed finite element formulation is employed in which the nodal solid displacements and the nodal pore water pressures are coupled via the linear momentum and mass balance equations. The constitutive model for the solid phase is represented by modified Cam—Clay theory formulated in the Kirchhoff principal stress space, and return mapping is carried out in the strain space defined by the invariants of the elastic logarithmic principal stretches. The constitutive model for fluid flow is represented by a generalized Darcy's law formulated with respect to the current configuration. The finite element model is fully amenable to exact linearization. Numerical examples with and without finite deformation effects are presented to demonstrate the impact of geometric nonlinearity on the predicted responses. The paper concludes with an assessment of the performance of the finite element consolidation model with respect to accuracy and numerical stability.

A bi-cubic transformation for the numerical evaluation of the Cauchy principal value integrals in boundary methods

The numerical strategies employed in the evaluation of singular integrals existing in the Cauchy principal value (CPV) sense are, undoubtedly, one of the key aspects which remarkably affect the performance and accuracy of the boundary element method (BEM). Thus, a new procedure, based upon a bi-cubic co-ordinate transformation and oriented towards the numerical evaluation of both the CPV integrals and some others which contain different types of singularity is developed. Both the ideas and some details involved in the proposed formulae are presented, obtaining rather simple and-attractive expressions for the numerical quadrature which are also easily embodied into existing BEM codes. Some illustrative examples which assess the stability and accuracy of the new formulae are included.

Self-consistent numerical dispersion relation of the ablative Rayleigh-Taylor instability of double ablation fronts in inertial confinement fusion

The linear stability analysis of accelerated double ablation fronts is carried out numerically with a self-consistent approach. Accurate hydrodynamic profiles are taken into account in the theoretical model by means of a fitting parameters method using 1D simulation results. Numerical dispersión relation is compared to an analytical sharp boundary model [Yan˜ez et al., Phys. Plasmas 18, 052701 (2011)] showing an excellent agreement for the radiation dominated regime of very steep ablation fronts, and the stabilization due to smooth profiles. 2D simulations are presented to validate the numerical self-consistent theory.

A robust numerical framework to the analysis of material failure of fibre reinforced soft tissue

In this work, robustness and stability of continuum damage models applied to material failure in soft tissues are addressed. In the implicit damage models equipped with softening, the presence of negative eigenvalues in the tangent elemental matrix degrades the condition number of the global matrix, leading to a reduction of the computational performance of the numerical model. Two strategies have been adapted from literature to improve the aforementioned computational performance degradation: the IMPL-EX integration scheme [Oliver,2006], which renders the elemental matrix contribution definite positive, and arclength-type continuation methods [Carrera,1994], which allow to capture the unstable softening branch in brittle ruptures. The IMPL-EX integration scheme has as a major drawback the need to use small time steps to keep numerical error below an acceptable value. A convergence study, limiting the maximum allowed increment of internal variables in the damage model, is presented. Finally, numerical simulation of failure problems with fibre reinforced materials illustrates the performance of the adopted methodology.