This work is divided into two main parts. In the first part (chapters 2-7) we consider the nonlinear response of nano-particle colloidal systems. Starting from the Nernst-Planck and Smoluchowski equations, we demonstrate that in these arrangements the underlying nonlinearities as well as the nonlinear Rayleigh losses depend exponentially on optical intensity. Two different nonlinear regimes are identified depending on the refractive index contrast of the nanoparticles involved and the interesting prospect of self-induced transparency is demonstrated. Soliton stability is systematically analyzed for both 1D and 2D configurations and their propagation dynamics in the presence of Rayleigh losses is examined. We also investigate the modulation instability of plane waves and the transverse instabilities of soliton stripe beams propagating in nonlinear nano-suspensions. We show that in these systems, the process of modulational instability depends on the boundary conditions. On the other hand, the transverse instability of soliton stripes can exhibit new features as a result of 1D collapse caused by the exponential nonlinearity. Many-body effects on the systems' nonlinear response are also examined. Mayer cluster expansions are used in order to investigate particle-particle interactions. We show that the optical nonlinearity of these nano-suspensions can range anywhere from exponential to polynomial depending on the initial concentration and the chemistry of the electrolyte solution. The consequence of these inter-particle interactions on the soliton dynamics and their stability properties are also studied. The second part deals with linear and nonlinear properties of optical nano-wires and the coupled mode formalism of parity-time (PT) symmetric waveguides. Dispersion properties of AlGaAs nano-wires are studied and it is shown that the group velocity dispersion in such waveguides can be negative, thus enabling temporal solitons. We have also studied power flow in nano-waveguides and we have shown that under certain conditions, optical pulses propagating in such structures will exhibit power circulations. Finally PT symmetric waveguides were investigated and a suitable coupled mode theory to describe these systems was developed.

As the nation’s infrastructure continues to age, there is a growing need for methods to safely inspect critical structures, often during operation. The failure of post-tensioned anchor rods in Tainter style flood gates presented an immediate need for new inspection capabilities for U.S. Army Corps of Engineers (USACE) managed flood control gates. In response to this need, the Sensor Integration Branch (SIB) of The U.S. Army Engineer Research and Develop Center (ERDC) developed the capability to non-destructively test (NDT) both greased and grouted cylindrical steel anchor rods using higher order guided wave ultrasonic testing. Understanding the results requires a knowledge of both guided waves and digital signal processing in order to identify the possibility of a defect. In order to both facilitate rapid defect identification and expanding ease-of-use of the equipment, the research in this thesis uses a combination of the discrete wavelet transform (DWT) and gradient boosting machine learning to build a model capable of identifying the dispersive defect responses in the rods.

A structural health monitoring system is desired to monitor the integrity of cylindrical, multi-layer carbon over-wrapped pressure vessels intended to house hydrogen at high pressures. In order to develop the system based on ultrasonic guided wave technology, the interaction between ultrasonic guided waves and defect types of interest must be understood. Finite element models in two and three dimensions are developed to predict guided wave motion in the reservoirs. Key parameters are optimized including frequency range, excited modes, detected modes, and transducer dimensions. A novel baseline subtraction technique in the frequency wavenumber domain is presented to increase lower level detection limits. Some experiments are carried out to corroborate the findings in the finite element environment.

The work presented in this thesis investigates novel transducer implementations that take advantage of directional sensing and generation of acoustic waves. These transducers are conceived by exploiting a Fourier-based design methodology. The proposed devices find application in the broad field of Structural Health Monitoring (SHM), which is a very active research area devoted to the assessment of the structural integrity of critical components in aerospace, civil and mechanical systems. Among SHM schemes, Guided Waves (GWs) testing has emerged as a prominent option for inspection of plate-like structures using permanently attached piezoelectric transducers. GWs-based methods rely on the generation and sensing of elastic waves to evaluate structural integrity. They offer an effective method to estimate location, severity and type of damage. It is widely acknowledged among the GWs-SHM community that effective monitoring of structural health is facilitated by sensors and actuators designed with ad hoc engineered capabilities. The objective of this research is to design innovative piezoelectric transducers by specifying their electrode patterns in the Fourier domain. Taking advantage of the Fourier framework, transducer design procedures are outlined and tailored to relevant SHM applications, such as (i) directional actuation and sensing of GWs, (ii) simultaneous sensing of multiple strain components with a single device, and (iii) estimation of the location of impact sites on structural components. The proposed devices enable significant reductions in cost, hardware, and power requirements for advanced SHM schemes when compared to current technologies.

Non-Destructive Testing of industrial components carries vital importance, both financially and safety-wise. Among all Non-Destructive techniques, Long Range Ultrasonic Testing utilizing the guided wave phenomena is a young technology proven to be commercially valid. Owing to its well-documented analytical models, Ultrasonic Guided Waves has been successfully applied to cylindrical and plate-like structures. Its applications to complex structures such as multi-wire cables are fairly immature, mainly due to the high complexity of wave propagation. Research performed by the author approaches the long range inspection of overhead transmission line cables using ultrasonic guided waves. Existing studies focusing on guided wave application on power cables are extremely limited in inspection range, which dramatically degrades its chances of commercialization. This thesis consists of three main chapters, all of which approaches different problems associated with the inspection of power cables. In the first chapter, a thorough analysis of wave propagation in ACSR (most widely used power cable) cables is conducted. It is shown that high frequency guided waves, by concentrating the energy on the surface layers, can travel much further in the form of fundamental longitudinal wave mode, than previous studies have shown. Defect detection studies proved the system’s capability of detecting defects which introduce either increase or decrease in cross sectional area of the cable. Results of the chapter indicate the detectability of defects as small as 4.5% of the cross sectional area through a 26.5 meter long cable without any post-processing. In the second chapter, several algorithms are proposed to increase the inspection range and signal quality. Well-documented wavelet-denoising algorithm is optimized for power cables and up to 24% signal-to-noise ratio improvement is achieved. By introducing an attenuation correction framework, a theoretical inspection range of 75 meters is presented. A new framework combining dispersion compensation and attenuation correction is proposed and verified, which shows an inspection range of 130 meters and SNR improvement up to 8 dBs. Last chapter addresses the accurate localization of structural defects. Having proven the optimum excitation and related wave propagation in ACSR cables, a system having a more complex wave propagation characteristics is studied. A new algorithm combining pulse compression using Maximal Length Sequences and dispersion compensation is applied to multi-modal signals obtained from a solid aluminum rod. The algorithm proved to be able to improve signal quality and extract an accurate location for defects. Maximal Length Sequences are compared to chirp signals in terms of SNR improvement and localization, which produced favourable results for MLS in terms of localization and for chirp in terms of SNR improvement.

Le collage suscite un intérêt important pour remplacer les techniques traditionnelles d’assemblage, car il permet d’alléger les structures via une meilleure répartition des contraintes, et également de limiter les contraintes liées à l’assemblage de matériaux différents. Cependant, l’absence de technique de contrôle non destructive robuste de la qualité du collage et plus particulièrement de l’adhésion freine son développement en particulier dans le domaine aéronautique. Dans ce travail une méthode d’inspection ultrasonore d’interfaces collées qui doit révéler des défauts d’adhésion est proposée. Cette technique est validée sur un système représentatif d’applications industrielles, à savoir une liaison entre substrats métalliques liés par un adhésif époxy en film de faible épaisseur. Des défauts ont été introduits au sein de l’interface adhésive (dans l’adhésif ou à l’interface adhésif/substrat) de façon à simuler des défauts rencontrés en environnement industriel. Afin d’améliorer les capacités de détection des méthodes ultrasonores linéaires usuelles, des algorithmes de reconstruction des courbes de dispersion optimisés ont été développés. Cependant, les ondes guidées ne se sont pas montrées suffisamment sensibles à des interfaces faibles dans cette configuration, pour des adhésifs de faible épaisseur et lorsqu’une incertitude des épaisseurs des matériaux est tolérée. Dès lors, des méthodes de contrôle reposant sur l’interaction non-linéaire entre une onde ultrasonore de forte amplitude et un défaut sont proposées car moins système dépendant. Pour détecter et quantifier ces nonlinéarités, des ultrasons suffisamment énergétiques doivent être générés, ce qui implique généralement l’usage de dispositifs électroniques de puissance potentiellement intrinsèquement non-linéaires. Pour contourner ces limitations technologiques, un dispositif dédié est proposé, utilisant des traducteurs alimentés sous tension faible et placés sur un objet réverbérant. L’émission de signaux complexes préalablement établis par étalonnage permet par retournement temporel de concentrer l’énergie acoustique temporellement et spatialement, pour générer des déplacements particulaires ultrasonores de fortes amplitudes à la surface de l’échantillon contrôlé. Pour valider cette approche, le dispositif est utilisé pour contrôler des interfaces collées au sein desquelles différents types de défauts de collage ont été introduits : pollutions (particules de PTFE, démoulant, trace de doigt, etc.), insert. Les échantillons sont finalement testés mécaniquement pour évaluer la sensibilité de la résistance des interfaces à la présence de ces défauts. / Bonding is of great interest to replace traditional assembly techniques, as it makes it possible to lighten structures, through a better distribution of stresses but also to limit the stresses associated with assembling different materials. However, the lack of a robust non-destructive control technique for bonding quality and more particularly adhesion slows down its development, particularly in the aeronautical field. In this work an ultrasonic inspection method of glued interfaces which should reveal defects in adhesion is proposed. This technique is validated on a system representative of industrial applications, metal substrates bonded by a thin film epoxy adhesive. Defects have been introduced into the adhesive interface (in the adhesive or at the adhesive/substrate interface) in order to simulate defects encountered in an industrial environment. In order to improve the detection capabilities of conventional linear ultrasonic guided waves methods, algorithms for reconstructing optimized dispersion curves have been developed. However, the guided waves were not sufficiently sensitive to low interfaces in this configuration, where adhesives are thin, and an uncertainty of material thickness is tolerated. Therefore, control methods based on the non-linear interaction between a high amplitude ultrasonic wave and a defect are proposed. To detect and quantify these non-linearities, sufficiently energetic ultrasound must be generated, which generally involves the use of potentially intrinsically non-linear electronic power devices. To overcome these technological limitations, a dedicated device is proposed, using transducers powered under low voltage and placed on a reverberant object. The emission of complex signals previously established by calibration makes it possible to concentrate acoustic energy temporally and spatially, to generate after time reversal ultrasonic particle movements of high amplitude on the surface of the controlled sample. To validate this approach, the device is used to control glued interfaces in which different types of gluing defects have been introduced: pollution (PTFE particles, release agent, fingerprints, etc.), insert. The samples are finally mechanically tested to assess the sensitivity of the interface resistance to the presence of these defects.

A utilização de ondas guiadas em técnicas de monitoramento de integridade estrutural tem se mostrado uma alternativa interessante para economia de tempo e de custos de operação. Técnicas com ondas guiadas apresentam a característica de monitorar trechos extensos de uma estrutura a partir de um único ponto de acesso, permitindo a inspeção de partes remotas e de difícil acesso. Entre os modos fundamentais de propagação de ondas guiadas em chapas, o modo SH0 possui a vantagem de não ser dispersivo, além de sofrer menores atenuações ao se propagar em superfícies em contato com fluidos. Neste trabalho é proposto um modelo de transdutor do modo SH0 de forma omnidirecional em uma chapa de aço utilizando um arranjo com cerâmicas piezoelétricas, que permita inspecionar determinada área de um componente através de um único modo de propagação. Para caracterizar e compreender o comportamento da resposta obtida foram realizadas simulações numéricas parametrizando características do modelo proposto, como o número de elementos piezoelétricos e dimensões geométricas dos componentes do transdutor. Para validação dos resultados do modelo numérico foram construídos modelos experimentais do transdutor, os quais foram instalados sobre uma chapa de aço de 2mm de espessura para verificação dos modos de propagação emitidos. Avaliando a relação entre intensidades de cada modo emitido e a qualidade da emissão de SH0 foi possível identificar as frequências que apresentaram resposta com a característica desejada. Também foi verificado o comportamento dos transdutores construídos ao serem excitados por ondas propagando na chapa, avaliando a sua utilização também como receptores. / The use of guided waves in structural health monitoring techniques has already proved to be an interesting alternative to reduce inspection time and overall operational costs. Guided waves techniques enable monitoring large structures from one single access point, allowing the inspection of distant and hard access parts. Among the fundamental propagation modes of guided waves in plates, the SH0 mode has the advantage of being non dispersive, as well as being subject to less attenuation when propagating through surfaces in contact with fluids. In this work, it is proposed one omnidirectional SH0 mode transducer in a steel plate using a piezoelectric ceramic array, which allows inspecting a component area through a single propagation mode. Numeric simulations parameterizating features of the transducer, such as the number of piezoelectric elements and the geometric dimensions of the transducer’s components, were developed to characterize and investigate the effect on the output response. To validate the numeric simulation results, experimental models of the transducer were built, which were installed on a 2mm thick steel plate to verify the generated propagation modes. The analysis of the relation between the intensity of each mode generated in the plate and the emission quality of the SH0 mode allowed the identification of frequencies that presented the most desirable response characteristics. The behavior of the built transducers was also studied when they were excited by waves propagating through the plate, evaluating the use of the transducers as signal receptors.

In recent decades techniques related to the measurement of elastic waves have advanced significantly. It is now possible with relatively inexpensive equipment to record amplitudes and frequency bands that were unthinkable two decades ago. This has led to the development of theoretical topics which application was questionable until not long ago, to profit from new technological potential in obtaining more and better experimental information. In this context the study of the propagation of guided waves in solids is presented as a knowledge that allows to detect damage with efficiency and economy in a number of structures in which at least one dimension is much larger than the other two. This is the case for rails, tubulations and pressure vessels among others. In this work, guided waves propagation characteristics are studied, first in a prismatic bar and then within the geometry of a rail. In both cases, dispersion curves were computed according two different work methodologies, first using an axisymmetric model and then corroborated with a model of periodic conditions. Finally propagation of a Tone-Burst waves were simulated on the analyzed geometries, leading to the discussion of how the waves scatter along its propagation. The results obtained were the dispersion curves of both sections. / En las últimas décadas técnicas relacionadas con la medición de ondas elásticas han avanzado sensiblemente. Actualmente, con equipamientos relativamente económicos es posible registrar amplitudes y franjas de frecuencia que eran impensables dos décadas atrás. Este hecho ha motivado que tópicos teóricos que hasta hace un tiempo tenían una aplicación cuestionable tengan que ser desarrollados para poder aprovechar las nuevas potencialidades tecnológicas en la obtención de mayor y mejor información experimental. En este contexto, el estudio de la propagación de ondas guiadas en sólidos se presenta como un conocimiento que posibilita detectar daño con eficiencia y economía en una serie de estructuras en las cuales por lo menos una dimensión es mucho mayor que las otras dos. Es el caso de estructuras tubulares, rieles o recipientes sometidos a presión entre otras. En el presente trabajo se estudian las características de propagación de ondas guiadas primeramente una barra rectangular y posteriormente en la geometría de un riel. En ambos casos, fueron calculadas las curvas de dispersión obtenidas con por dos metodologías de trabajo por elementos finitos, la primer metodología fue emplear un cálculo aplicando un modelo axisimétrico, y luego corroborado con un modelo de condiciones periódicas y posteriormente fue simulada la propagación de una onda tipo Toneburst sobre las geometrías analizadas discutiendo cómo dicha onda se dispersa durante su propagación. Los resultados obtenidos fueron las curvas de dispersión de ambas secciones.

Sistemas de ensaios não destrutivos por ondas guiadas despertam cada vez mais a atenção tanto da indústria, como da academia. Isso deve-se, principalmente, às possibilidades que as ondas guiadas permitem, como maior área de triagem que o ultrassom convencional. Porém a técnica tem suas limitações, já que esta apenas gera uma estimativa da localização de um defeito e não a sua dimensão. Nessa limitação, algoritmos tomográficos apresentam uma possibilidade de avanço da técnica, pois permitem determinar não só a localização de corrosões e defeitos, mas também seu dimensionamento. Este trabalho apresenta tomografia de difração como uma alternativa para avaliação de integridade estrutural. Primeiramente, utilizou-se análise por métodos numéricos para mostrar a validade dos algoritmos e posteriormente foi realizado um experimento em uma chapa real com o objetivo de reconstruir a imagem do defeito. / Guided waves nondestructive testing systems are increasingly attracting industrial and academic attention. The mainly reason for this attention is the possibility of screening a large area than conventional ultrasound technique. However, Guided Waves Testing has limitations, since it gives only an estimation of the location of a defect, but not the dimensions. Tomographic algorithms come up with an improvement of the technique, because it allows discovery not only the location of corrosions and defects, but the dimensions too. This work brings Diffraction Tomography as an alternative to structural health monitoring. First, a numerical analysis was implemented to demonstrate the validity of the algorithms, after that an experiment in a real plate was made with the objective to recover the defect image.

Structures made of plate-like components are common in a variety of industries where the impacts of structural failures are severe. In many cases these structures are surrounded and only partially accessible, such as storage tanks and bridges, making them difficult to inspect frequently. The application of ultrasonic Guided Waves (GWs) in the evaluation and monitoring of relatively large plate-like structures is evermore a feasible option with the continuous development of transducer arrays. The use of transducer arrays is however complex due to directional control and the existence of many GW modes. Aimed at the evaluation of plate-like structures, in this research two piezoelectric transducer arrays respectively capable of omnidirectional and unidirectional control of the fundamental GW shear mode in plates (SH0) with above 20 dB mode purity are successfully designed, produced and validated. Omnidirectionality facilitates full structural evaluation coverage and can lead to defect mapping of large volumes with relatively few transducers. A unidirectional beam with relatively high mode purity facilitates evaluation of specific structural locations. Preference to the SH0 mode was given because of its non-dispersive and in-plane propagation properties making it more suitable than other GW modes to propagation in structures surrounded by fluid material. To enable the array development, a number of monolithic piezoelectric thickness-shear transducers of varied area were characterised with respect to GW mode directionality, amplitude and SH0 mode purity. The characterisation of each thickness-shear transducer allows for optimised superposition manipulation for specific applications. A single characterised shear transducer was selected for use in the development of omnidirectional and unidirectional SH0 mode transducer arrays. To aid development a linear superposition analysis model was produced and used to predict for a circular array design the optimum parameters for omnidirectional SH0 mode transmission with significant mode purity. A range of parameter combinations were evaluated and their predicted influence on array performance was characterised. The same method was employed to optimise a dual row linear array design for the unidirectional transducer array. All results were validated by FE models and later with empirical data. Both developed transducer arrays were characterised with respect to GW mode directionality, magnitude and SH0 mode purity. Both their detection sensitivity to pertinent defects and structures was validated, demonstrating relevance to Non Destructive Evaluation (NDE) and Structural Health Monitoring (SHM) applications.