Análisis de los modelos de comportamiento de vigas de hormigón armado reforzadas a cortante con polímeros armados con fibras (frp). Validación y calibración experimental

Los polímeros armados con fibras (FRP) se utilizan en refuerzos de estructuras de hormigón debido sobre todo a sus excelentes propiedades mecánicas, su resistencia a la corrosión y a su ligereza que se traduce en facilidad y ahorro en el transporte, puesta en obra y aplicación, la cual se realiza de forma muy rápida, con pocos operarios y utilizando medios auxiliares ligeros, minimizándose las interrupciones del uso de la estructura y las molestias a los usuarios. Las razones presentadas anteriormente, han despertado un gran inter´es por parte de diferentes grupos de investigación a nivel mundial y que actualmente se encuentran desarrollando nuevas técnicas de aplicación y métodos de cálculo. Sin embargo, las investigaciones realizadas hasta la fecha, muestran un procedimiento bien definido y aceptado en lo referente al cálculo a flexión, lo cual no ocurre con el refuerzo a cortante y aunque se ha demostrado que el refuerzo con FRP es un sistema eficaz para incrementar la capacidad ´ultima frente a esfuerzos cortantes, también se pone de manifiesto la necesidad de más estudios experimentales y teóricos para avanzar en el entendimiento de los mecanismos involucrados para este tipo de refuerzo y establecer un procedimiento de diseño apropiado que maximice las excelentes propiedades de este material. Los modelos que explican el comportamiento del refuerzo a cortante de elementos de hormigón armado son complejos y sin transposición directa a fórmulas ingenieriles. Las normas actualmente en vigor, generalmente, establecen empíricamente la capacidad cortante como la suma de las capacidades del hormigón y el refuerzo transversal de acero. Cuando un elemento es reforzado externamente con FRP, los modelos son evidentemente aun más complejos. Las guías y recomendaciones existentes proponen calcular la capacidad del elemento añadiendo la resistencia aportada por el refuerzo externo de FRP a la ya dada por el hormigón y acero transversal. Sin embargo, la idoneidad de este acercamiento es cuestionable puesto que no tiene en cuenta una posible interacción entre refuerzos. Con base en lo anterior se da origen al tema objeto de este trabajo, el cual está orientado al estudio a cortante de elementos de hormigón armado (HA), reforzados externamente con material compuesto de tejido unidireccional de fibra de carbono y resina epoxi. Inicialmente se hace una completa revisión del estado actual del conocimiento de la resistencia a cortante en elementos de hormigón armado con y sin refuerzo externo de FRP, prestando especial atención en los mecanismos actuantes estudiados hasta la fecha. La bibliografía consultada ha sido exhaustiva y actualizada lo que ha permitido el estudio de los modelos propuestos más importantes, tanto para la descripción del fenómeno de adherencia entre hormigón-FRP como de la valoración del aporte al cortante total hecho por el FRP, a través de sendas bases de datos de ensayos de pull-out y de vigas de hormigón armado ensayadas a cortante. Con base en todo lo anterior, se expusieron los mecanismos actuantes en el aporte a cortante hecho por el FRP en elementos de hormigón armado y la forma como las principales guías de cálculo existentes hasta la fecha los abordan. De igual forma se define un modelo de resistencia de esfuerzos para el FRP y se proponen dos modelos para el cálculo de las tensiones o deformaciones efectivas, de los cuales uno esta basado en el modelo de adherencia propuesto por Oller (2005) y el otro en una regresión multivariante para los mecanismos expuestos. Como complemento del estudio de los trabajos encontrados en la literatura, se lleva acabo un programa experimental que, además de aportar más registros a la exigua base de datos existentes, aporte mayor luz a los puntos que se consideran están deficientemente resueltos. Dentro de este programa se realizaron 32 ensayos sobre 16 vigas de 4.5 m de longitud (dos ensayos por viga), reforzadas a cortante con tejido unidireccional de CFRP. Finalmente, estos estudios han permitido proponer modificaciones a las formulaciones existentes en los códigos y guías en vigor. Abstract Its excellent mechanical properties, as well as its corrosion resistance and light weight, which make it easy to apply and inexpensive to ship to the worksite, are the basis of the extended use of fiber reinforced polymer (FRP) as external strengthening for structures. FRP strengthening is a rapid operation calling for only limited labor and lightweight ancillary equipment, all of which minimizes both the interruption of facility usage and user inconvenience. These advantages have aroused considerable interest in civil engineering science and technology and have led to countless applications the world over. Research studies on the shear strength of FRP-strengthened members have been much fewer in number and more controversial than the research on flexural strengthening, for which a more or less standardized and generally accepted procedure has been established. The research conducted and a host of applications around the world have shown that FRP strengthening is an effective technique for raising ultimate shear strength, but it has also revealed a need for further experimental and theoretical research to advance in the understanding of the mechanisms involved and establish suitable design procedures that optimize the excellent properties of this material The models that explain reinforced concrete (RC) shear strength behavior are complex and cannot be directly transposed to engineering formulas. The standards presently in place generally establish shear capacity empirically as the sum of the capacities of the concrete and the passive reinforcement. When members are externally strengthened with FRP, the models are obviously even more complex. The existing guides and recommendations propose calculating capacity by adding the external strength provided by the FRP to the contributions of the concrete and passive reinforcement. The suitability of this approach is questionable, however, because it fails to consider the interaction between passive reinforcement and external strengthening. The subject of this work is based in above, which is focused on externally shear strengthening for reinforced concrete members with unidirectional carbon fiber sheets bonded with epoxy resin. v Initially a thorough literature review on shear of reinforced concrete beams with and without external FRP strengthening was performed, paying special attention to the acting mechanisms studied to date, which allowed the study of the most important models both to describe the bond phenomenon as well as calculating the FRP shear contribution, through separate databases of pull-out tests and shear tests on reinforced concrete beams externally strengthened with FRP. Based on above, they were exposed the acting mechanisms in a FRP shear strengthening on reinforced concrete beams and how guidelines deal the topic. The same way, it is defined a FRP stress strength model and two more models are proposed for calculating the effective stress, one of these is based on the Oller (2005) bond model and another one is the data best fit, taking into account most of the acting mechanisms. To complement the theoretical part we develop an experimental program that, in addition to providing more records to the meager existing database provide greater understanding to the points considered poorly resolved. The test program included 32 tests of 16 beams (2 per beam) of 4.5 m long, shear strengthened with FRP, externally. Finally, modifications to the existing codes and guidelines are proposed.

Estudio de la redistribución tensional en la interfase frp-hormigón

El uso de materiales compuestos para el refuerzo, reparación y rehabilitación de estructuras de hormigón se ha convertido en una técnica muy utilizada en la última década. Con independencia de la técnica del refuerzo, uno de los principales condicionantes del diseño es el fallo de la adherencia entre el hormigón y el material compuesto, atribuida generalmente a las tensiones en la interfaz de estos materiales. Las propiedades mecánicas del hormigón y de los materiales compuestos son muy distintas. Los materiales compuestos comúnmente utilizados en ingeniería civil poseen alta resistencia a tracción y tienen un comportamiento elástico y lineal hasta la rotura, lo cual, en contraste con el ampliamente conocido comportamiento del hormigón, genera una clara incompatibilidad para soportar esfuerzos de forma conjunta. Esta incompatibilidad conduce a fallos relacionados con el despegue del material compuesto del sustrato de hormigón. En vigas de hormigón reforzadas a flexión o a cortante, el despegue del material compuesto es un fenómeno que frecuentemente condiciona la capacidad portante del elemento. Existen dos zonas potenciales de iniciación del despegue: los extremos y la zona entre fisuras de flexión o de flexión-cortante. En el primer caso, la experiencia a través de los últimos años ha demostrado que se puede evitar prolongando el refuerzo hasta los apoyos o mediante el empleo de algún sistema de anclaje. Sin embargo, las recomendaciones para evitar el segundo caso de despegue aún se encuentran lejos de poder prever el fallo de forma eficiente. La necesidad de medir la adherencia experimentalmente de materiales FRP adheridos al hormigón ha dado lugar a desarrollar diversos métodos por la comunidad de investigadores. De estas campañas experimentales surgieron modelos para el pronóstico de la resistencia de adherencia, longitud efectiva y relación tensión-deslizamiento. En la presente tesis se propone un ensayo de beam-test, similar al utilizado para medir la adherencia de barras de acero, para determinar las características de adherencia del FRP al variar la resistencia del hormigón y el espesor del adhesivo. A la vista de los resultados, se considera que este ensayo puede ser utilizado para investigar diferentes tipos de adhesivos y otros métodos de aplicación, dado que representa con mayor realidad el comportamiento en vigas reforzadas. Los resultados experimentales se trasladan a la comprobación del fallo por despegue en la región de fisuras de flexión o flexión cortante en vigas de hormigón presentando buena concordancia. Los resultados condujeron a la propuesta de que la limitación de la deformación constituye una alternativa simple y eficiente para prever el citado modo de fallo. Con base en las vigas analizadas, se propone una nueva expresión para el cálculo de la limitación de la deformación del laminado y se lleva a cabo una comparación entre los modelos existentes mediante un análisis estadístico para evaluar su precisión. Abstract The use of composite materials for strengthening, repairing or rehabilitating concrete structures has become more and more popular in the last ten years. Irrespective of the type of strengthening used, design is conditioned, among others, by concrete-composite bond failure, normally attributed to stresses at the interface between these two materials. The mechanical properties of concrete and composite materials are very different. Composite materials commonly used in civil engineering possess high tensile strength (both static and long term) and they are linear elastic to failure, which, in contrast to the widely known behavior of concrete, there is a clear incompatibility which leads to bond-related failures. Bond failure in the composite material in bending- or shear-strengthened beams often controls bearing capacity of the strengthened member. Debonding failure of RC beams strengthened in bending by externally-bonded composite laminates takes place either, at the end (plate end debonding) or at flexure or flexure-shear cracks (intermediate crack debonding). In the first case, the experience over the past years has shown that this can be avoided by extending laminates up to the supports or by using an anchoring system. However, recommendations for the second case are still considered far from predicting failure efficiently. The need to experimentally measure FRP bonding to concrete has induced the scientific community to develop test methods for that purpose. Experimental campaigns, in turn, have given rise to models for predicting bond strength, effective length and the stress-slip relationship. The beam-type test proposed and used in this thesis to determine the bonding characteristics of FRP at varying concrete strengths and adhesive thicknesses was similar to the test used for measuring steel reinforcement to concrete bonding conditions. In light of the findings, this test was deemed to be usable to study different types of adhesives and application methods, since it reflects the behavior of FRP in strengthened beams more accurately than the procedures presently in place. Experimental results are transferred to the verification of peeling-off at flexure or flexure-shear cracks, presenting a good general agreement. Findings led to the conclusion that the strain limitation of laminate produces accurate predictions of intermediate crack debonding. A new model for strain limitation is proposed. Finally, a comprehensive evaluation based on a statistical analysis among existing models is carried out in order to assess their accuracy.

Evaluación del comportamiento de la interfase FRP-Hormigón en vigas de hormigón reforzadas con materiales compuestos

En el presente documento se analiza el uso de ensayos beam-test, análogos a los empleados comúnmente para medir la adherencia de barras, en el estudio de la adherencia FRP-Hormigón. Los resultados se trasladan a la comprobación del despegue en la zona entre fisuras de flexión en vigas de hormigón reforzadas con materiales compuestos de propiedades mecánicas similares. Finalmente se presenta una comparación con los modelos más relevantes de la literatura especializada.

Influencia de la relación tensión-deslizamiento en el comportamiento de la interfase FRP-Hormigón

En el presente trabajo se han analizado los modelos tensión-deslizamiento más divulgados para estudiar las tensiones en la interfase FRP-Hormigón y la carga máxima mediante su irapíementación en una de las principales técnicas de cálculo numérico fácilmente programable y aplicable para el caso en el que se tiene tracción en ambos extremos de la banda FRP. Los resultados se comparan con las soluciones analíticas encontradas en la literatura, las cuales están limitadas a los casos de una función tensión-deslizamiento lineal y bilineal. Finalmente, se contrasta la teoría con los resultados experimentales obtenidos de ensayos de tipología análoga al método beamtest empleado comúnmente para medir la adherencia de barras de acero.

Effect of adhesive thickness and concrete strength on FRP-Concrete Bonds

The use of fiber-reinforced polymer (FRP) composites for strengthening, repairing, or rehabilitating concrete structures has become more and more popular in the last 10 years. Irrespective of the type of strengthening used, design is conditioned, among others, by concrete-composite bond failure, normally attributed to stress at the interface between these two materials. Single shear, double shear, and notched beam tests are the bond tests most commonly used by the scientific community to estimate bond strength, effective length, and the bond stress-slip relationship. The present paper discusses the effect of concrete strength and adhesive thickness on the results of beam tests, which reproduce debonding conditions around bending cracks much more accurately. The bond stress-slip relationship was analyzed in a cross section near the inner edge, where stress was observed to concentrate. The ultimate load and the bond stress-slip relationship were visibly affected by concrete strength. Adhesive thickness, in turn, was found to have no significant impact on low-strength concrete but a somewhat greater effect on higher strength materials.

Design equations for reinforced concrete members strengthened in shear with external FRP reinforcement formulated in an evolutionary multi-objective framework

Methods for predicting the shear capacity of FRP shear strengthened RC beams assume the traditional approach of superimposing the contribution of the FRP reinforcing to the contributions from the reinforcing steel and the concrete. These methods become the basis for most guides for the design of externally bonded FRP systems for strengthening concrete structures. The variations among them come from the way they account for the effect of basic shear design parameters on shear capacity. This paper presents a simple method for defining improved equations to calculate the shear capacity of reinforced concrete beams externally shear strengthened with FRP. For the first time, the equations are obtained in a multiobjective optimization framework solved by using genetic algorithms, resulting from considering simultaneously the experimental results of beams with and without FRP external reinforcement. The performance of the new proposed equations is compared to the predictions with some of the current shear design guidelines for strengthening concrete structures using FRPs. The proposed procedure is also reformulated as a constrained optimization problem to provide more conservative shear predictions.

Modelización tridimensional de ensayos de adherencia tipo viga del refuerzo NSM-FRP en hormigón

El uso de refuerzos NSM‐FRP en estructuras de hormigón armado se ha incrementado considerablemente en los últimos años como método de refuerzo estructural. Los ensayos de arrancamiento en viga de los refuerzos NSM‐FRP permiten el estudio del comportamiento de la unión pegada. El principal objetivo del presente trabajo aborda la simulación numérica de este tipo de ensayos, con el propósito de caracterizar correctamente la adherencia entre las barras de NSM‐FRP y el hormigón. En una fase inicial se simuló un modelo bidimensional para conseguir evaluar y verificar el comportamiento de los elementos cohesivos y ver su comportamiento primero ante diferentes modelos de material y segundo ante un modo mixto de fallo, debido a la aplicación simultanea de carga axial y carga cortante. En una segunda fase se creó un modelo tridimensional para estudiar el arrancamiento de una barra de material compuesto insertada en hormigón, creando un modelo de material de hormigón y viendo el comportamiento cualitativo del sistema ante variaciones en los parámetros de los diferentes materiales. En la tercera fase, la más importante del presente trabajo, se abordó la simulación numérica del ensayo de arrancamiento en viga. Se simularon todos los componentes del ensayo y se evaluaron diferentes alternativas para representar la interfase NSM‐FRP ‐ hormigón, usando elementos cohesivos y diferentes distribuciones de los mismos en la interfase. Para conseguir representar lo más fielmente posible las condiciones del ensayo, se diseñó también un controlador PID que permite realizar las simulaciones numéricas mediante un control en desplazamientos, lo cual permite capturar más correctamente el comportamiento de reblandecimiento de la unión pegada. El controlador PID aplica técnicas de ingeniería de control para conseguir calcular a priori la amplitud necesaria del desplazamiento impuesto que provoque una evolución establecida en una variable interna del sistema. La variable usada para correlacionar los ensayos es la diferencia en desplazamientos entre dos puntos y se escoge una evolución lineal de la misma, pero en la tesis también se exponen los resultados de escoger otras posibles variables internas con diferentes evoluciones. Se compararon las simulaciones numéricas con resultados de mediciones experimentales previamente publicadas. Los resultados carga‐deslizamiento obtenidos encajan bien con los datos experimentales. El modelo propuesto es también capaz de predecir el modo de fallo en la interfase NSM‐FRP ‐ hormigón. Finalmente, también se han llevado a cabo estudios paramétricos, para evaluar la influencia de cada parámetro en los resultados. También se realizó un estudio cualitativo de cómo se comporta la unión pegada en cada momento de la simulación, mediante el uso macros y gráficas tridimensionales, para conseguir una mejor visualización y facilitar el análisis de los resultados. ABSTRACT The use of near‐surface mounted FRP reinforcement in reinforced concrete structures has seen a considerable increase in recent years as a strengthening method. Beam pull‐out tests for near‐surface reinforcement allow obtaining the local bond‐slip behavior of a bonded joint. The main objective of the current work deals with the three‐dimensional modeling of this kind of test with the purpose of characterizing suitably the mechanics of bond between FRP rods and concrete. In an initial stage, a two bidimensional in order to evaluate and to verify the behavior of the cohesive elements. Its behavior was evaluated first testing different material models and second testing the behavior when mixed mode failure appears, due to simultaneous axial and shear load. In a second stage a tridimensional model was created in order to study the pull‐out of an inserted beam of composite material in concrete. A concrete material model was created and the influence of each material parameter was studied qualitatively. The third part, the most relevant of the present work, the numerical simulation of the Beam Pull‐Out test was faced. All the parts of the Beam Pull‐Out test were included inthe simulation and different alternatives to represent the FRP bar – concrete interface have been evaluated, using cohesive elements and different distributions of them. In order to reproduce the test conditions more reliably, a PID controller has also been designed to conduct suitably the numerical tests in order to properly capture the softening branch of the load‐slip behaviour. The PID controller applies control techniques to calculate a priori the necessary amplitude of the load in order to achieve a given evolution through the simulation of an internal variable previously chosen. The variable used in order to correlate the simulation with the test results is the difference in displacements between two points and a linear evolution was chosen, but in the thesis the results of choosing other possible internal variables with different evolutions are also shown. The numerical FE simulations were compared with experimental measurements previously published. Load‐slip predictions compare well with the corresponding experimental data. The proposed model is also able to predict the failure mode at the FRP‐concrete interface. Some parametric studies have also been carried out, in order to evaluate the influence of each material parameter in the results. A qualitative study of the behaviour of the joint was also performed, using the results of the numeric simulations and through the use of macros and 3D graphs, the tensional state of each point of the joint can be visualized in each moment of the simulation.

Estudio de la resistencia de vigas de madera reforzadas con FRP de tejidos unidireccionales y bidireccionales de fibra de carbono

En este trabajo se realiza un estudio experimental del comportamiento de veinte vigas de madera aserrada de pino silvestre para uso estructural, de dimensiones 155x75x1090mm y reforzadas con materiales compuestos de fibra de carbono. La procedencia de la madera es el aserradero de Valsaín. Los ensayos se han realizado en el Laboratorio de Materiales de Construcción de la Escuela Universitaria de Arquitectura Técnica de Madrid con una máquina de ensayos Universal. El objetivo del trabajo es el análisis del comportamiento a flexión de las piezas ensayadas reforzadas con materiales compuestos de fibra de carbono realizados con tejidos unidireccionales y bidireccionales. De las veinte vigas ensayadas nueve fueron sin reforzar y el resto se reforzaron con el refuerzo en forma de ?U?, adhiriendo el material compuesto a la cara inferior y los laterales de las vigas, hasta una altura de la mitad del canto. Para la realización de los FRP se han empleado tejidos de fibra de carbono unidireccionales y bidireccionales. El gramaje de los tejidos unidireccionales es de 300gr/m2 y se ha aplicado en una capa. Los tejidos bidireccionales utilizados tienen dos gramajes distintos, 160gr/m2 y 210gr/m2. Éstos últimos se han aplicado en una y en dos capas. Las nueve vigas ensayadas sin reforzar han servido como testigo para analizar el aumento de la capacidad de carga de las vigas reforzadas. A partir de los datos facilitados por el software se asociado a la máquina de ensayos se trazaron los gráficos carga-desplazamiento, con el fin de analizar las cargas máximas de rotura alcanzadas, desplazamientos y rigidez de las piezas. Posteriormente se realiza un análisis analítico hallando los valores medio de las cargas de rotura y los desplazamientos, realizando una comparación entre los datos obtenidos para las vigas sin reforzar y las reforzadas con los distintos sistemas. En las conclusiones se presentan los resultados del análisis realizado, estudiando el incremento de la capacidad de carga de las vigas reforzadas con respecto a las no reforzadas, y comparando entre sí el funcionamiento de los refuerzos aplicados.

Modelos de cálculo del hormigón confinado con FRP. Estudio comparativo

Investigación experimental sobre pilares de hormigón reforzados con FRP. El confinamiento con un encamisado de FRP se ha convertido en un método habitual de refuerzo de pilares de hormigón armado en estructuras existentes como puentes o edificios. Numerosos estudios experimentales han demostrado que se trata de un modo eficaz de incrementar considerablemente la resistencia del hormigón. En los últimos años se están proponiendo también diferentes modelos teóricos y se han publicado en diversos países guías y recomendaciones con diversas ecuaciones para el cálculo. En este trabajo se revisan las formulaciones propuestas en las principales recomendaciones publicadas incidiendo en los dos aspectos que se han identificado como claves en el comportamiento del hormigón confinado con FRP: la deformación última efectiva del FRP y la influencia de la forma de la sección del pilar en la eficacia del confinamiento

A discrete spectral model for intermediate crack debonding in FRP-strengthened RC beams

One of the common failure modes of reinforced concrete (RC) beams strengthened in flexure with a bonded fibre-reinforced polymer (FRP) is intermediate crack (IC) debonding, which is originated at a critical section in the vicinity of flexural cracks and propagates to a plate end. Despite considerable research over the last years, few reliable and simplified IC debonding strength models have been developed. This paper firstly presents a one-dimensional model based on the discrete crack approach for concrete and the spectral element method for the numerical simulation of the IC debonding process. The progressive formation of flexural cracks and subsequent concrete-FRP interfacial debonding is formulated by the introduction of a new element able to represent both phenomena simultaneously without perturbing the numerical procedure. Furthermore, with the proposed model, high frequency dynamic response for these kinds of structures can also be obtained in a very simple and non-expensive way, which makes this procedure very useful as a tool for diagnoses and detection of debonding in its initial stage by monitoring the change in local dynamic characteristics.

Debonding detection of FRP strengthened concrete beams by using impedance measurements and an ensemble PSO adaptive spectral model

An impedance-based midspan debonding identification method for RC beams strengthened with FRP strips is presented in this paper using piezoelectric ceramic (PZT) sensor?actuators. To reach this purpose, firstly, a two-dimensional electromechanical impedance model is proposed to predict the electrical admittance of the PZT transducer bonded to the FRP strips of an RC beam. Considering the impedance is measured in high frequencies, a spectral element model of the bonded-PZT?FRP strengthened beam is developed. This model, in conjunction with experimental measurements of PZT transducers, is used to present an updating methodology to quantitatively detect interfacial debonding of these kinds of structures. To improve the performance and accuracy of the detection algorithm in a challenging problem such as ours, the structural health monitoring approach is solved with an ensemble process based on particle of swarm. An adaptive mesh scheme has also been developed to increase the reliability in locating the area in which debonding initiates. Predictions carried out with experimental results have showed the effectiveness and potential of the proposed method to detect prematurely at its earliest stages a critical failure mode such as that due to midspan debonding of the FRP strip.

Identification of intermediate debonding damage in FRP-plated RC beams based on multi-objective particle swarm optimization without updated baseline model

Fiber reinforced polymer composites (FRP) have found widespread usage in the repair and strengthening of concrete structures. FRP composites exhibit high strength-to-weight ratio, corrosion resistance, and are convenient to use in repair applications. Externally bonded FRP flexural strengthening of concrete beams is the most extended application of this technique. A common cause of failure in such members is associated with intermediate crack-induced debonding (IC debonding) of the FRP substrate from the concrete in an abrupt manner. Continuous monitoring of the concrete?FRP interface is essential to pre- vent IC debonding. Objective condition assessment and performance evaluation are challenging activities since they require some type of monitoring to track the response over a period of time. In this paper, a multi-objective model updating method integrated in the context of structural health monitoring is demonstrated as promising technology for the safety and reliability of this kind of strengthening technique. The proposed method, solved by a multi-objective extension of the particle swarm optimization method, is based on strain measurements under controlled loading. The use of permanently installed fiber Bragg grating (FBG) sensors embedded into the FRP-concrete interface or bonded onto the FRP strip together with the proposed methodology results in an automated method able to operate in an unsupervised mode.

Beam Spectral Element with FRP Debonding

The behaviour of the interface between the FRP and the concrete is the key factor controlling debonding failures in FRP-strengthened RC structures. This defect can cause reductions in static strength, structural integrity and the change in the dynamic behavior of the structure. The adverse effect on the dynamic behavior of the defects can be utilized as an effective means for identifying and assessing both the location and size of debonding at its earliest stages. The presence of debonding changes the structural dynamic characteristics and might be traced in modal parameters, dynamic strain and wave patterns etc. Detection of minor local defects, as those origin of a future debonding, requires working at high frequencies so that the wavelength of the excited is small and sensitive enough to detect local damage. The development of a spectral element method gives a large potential in high-frequency structural modeling. In contrast to the conventional finite element, since inertial properties are modeled exactly few elements are necessary to capture very accurate solutions at the highest frequencies in large regions. A wide variety of spectral elements have been developed for structural members over finite and semi-infinite regions. The objective of this paper is to develop a Spectral Finite Element Model to efficiently capture the behavior of intermediate debonding of a FRP strengthened RC beam during wave-based diagnostics.

Debonding identification in FRP-plated RC structures using PZT sensors

The application of the Electro-Mechanical Impedance (EMI) method for damage detection in Structural Health Monitoring has noticeable increased in recent years. EMI method utilizes piezoelectric transducers for directly measuring the mechanical properties of the host structure, obtaining the so called impedance measurement, highly influenced by the variations of dynamic parameters of the structure. These measurements usually contain a large number of frequency points, as well as a high number of dimensions, since each frequency range swept can be considered as an independent variable. That makes this kind of data hard to handle, increasing the computational costs and being substantially time-consuming. In that sense, the Principal Component Analysis (PCA)-based data compression has been employed in this work, in order to enhance the analysis capability of the raw data. Furthermore, a Support Vector Machine (SVM), which has been widespread used in machine learning and pattern recognition fields, has been applied in this study in order to model any possible existing pattern in the PCAcompress data, using for that just the first two Principal Components. Different known non-damaged and damaged measurements of an experimental tested beam were used as training input data for the SVM algorithm, using as test input data the same amount of cases measured in beams with unknown structural health conditions. Thus, the purpose of this work is to demonstrate how, with a few impedance measurements of a beam as raw data, its healthy status can be determined based on pattern recognition procedures.

Methodology based on FBG sensors for monitoring of FRP-strengthened beams

Advanced composite materials are increasingly used in the strengthening of reinforced concrete (RC) structures. The use of externally bonded strips made of fibre-reinforced plastics (FRP) as strengthening method has gained widespread acceptance in recent years since it has many advantages over the traditional techniques. However, unfortunately, this strengthening method is often associated with a brittle and sudden failure caused by some form of FRP bond failure, originated at the termination of the FRP material or at intermediate areas in the vicinity of flexural cracks in the RC beam. Up to date, little effort in the early prediction of the debonding in its initial instants even though this effect is not noticeable by simple visual observation. An early detection of this phenomenon might help in taking actions to prevent future catastrophes. Fibre-optic Bragg grating (FBG) sensors are able to measure strains locally with high resolution and accuracy. Furthermore, as their physical size is extremely small compared with other strain measuring components, it enables to be embedded at the concrete-FRP interface for determining the strain distribution without influencing the mechanical properties of the host materials. This paper shows the development of a debonding identification methodology based on strains experimentally measured. For, it a simplified model is implemented to simulate the behaviour of FRP-strengthened reinforced concrete beams. This model is taken as a basis to. develop an model updating procedure able to detect minor debonding at the concrete-FRP interface from experimental strains obtained by using FBG sensors embedded at the interface