Ce travail de thèse concerne la surveillance de l’état de santé de structures complexes en service. Elle est appliquée à des éléments d’une nacelle d’avion gros porteur. Ce travail est original et s’inscrit dans le cadre d’un projet, coordonné par AIRBUS Operations SAS et porté par AIRCELLE (Groupe SAFRAN). Les principales parties de la nacelle visées par notre démarche sont le capot de soufflante (fan cowl, composite monolithique) et la structure interne fixe du capot coulissant de l’inverseur de poussée (IFS, sandwich nid d’abeille). Ces structures réalisées en matériaux composites sont sujettes à de nombreux modes de dégradation(rupture de fibres, délaminage, fissures, etc…), qui peuvent impacter la durée de vie de la nacelle. De plus elles sont exposées à de nombreuses sollicitations environnementales dont des variations thermiques importantes (de -55 °C à +120°C). L’objectif de ce travail est la mise en place d’un système SHM visant à suivre l’état de santé de ces structures afin de détecter l’apparition de tels endommagements et de les localiser avant qu’ils ne conduisent à une dégradation de la structure; ceci de manière à permettre une maintenance prédictive. Des capteurs et actionneurs piézoélectriques (PZT) sont collés sur la structure et sont utilisés pour générer des ondes de Lamb et effectuer des mesures. La démarche SHM proposée s’appuie sur des mesures successives en partant d’un état initial considéré comme sain, puis en réalisant régulièrement des mesures de suivi. La différence entre des signaux mesurés pour deux états est analysée afin d’en extraire des caractéristiquessensibles à l’apparition de dommages. Après validation, des PZT ont été collés sur le fan cowl et l’IFS ainsi que sur des coupons et un banc d’essai approprié a été conçu afin de valider notre démarche. Du fait que l’on est amené à travailler sur des différences de signaux, des algorithmes de détection, basés sur les testsd’hypothèses statistiques et l’Analyse en Composantes Principales (ACP), ont dû être développés et validés. Ceci a d’abord été testé pour la détection de dommages contrôlés introduits d’abord dans des coupons, puis dans le fan cowl et dans l’IFS. Des algorithmes robustes (y compris aux variations de température) de localisation de ces dommages, basés sur l’extraction des temps de vol des ondes de Lamb, ont été développés et validés sur les structures étudiées. Une approche de quantification des incertitudes sur la localisation par inférence Bayésienne a été proposée en complément de la démarche déterministe implémentée. / This work aims at designing a Structural Health Monitoring (SHM) system for complex composite structures, with an application to elements of aeronautical nacelles. This work is original and is in the framework of a project, coordinated by AIRBUS Operations SAS and headed by AIRCELLE (SAFRAN Group). The main parts of the nacelle concerned with our approach are the fan cowl (composite monolithic) and the inner fixed structure (IFS, sandwich structure with honeycomb core) of the thrust reverser. These structures made from composite materials are subjected to many damages types which can affect nacelle’s useful life (fiber breaking, delamination, crack, etc…). Furthermore these structures are exposed to many environmental constraints which are for instance important thermal variations (from -55°C to +120°C). The objective of this work is to develop a SHM system aimed at detecting and localizing these damages, before the degradation of the whole structureoccurs. Piezoelectric (PZT) actuators and sensors are bonded on the structure and they are used to generate Lamb wave signals and perform measurements. The proposed SHM approach is based on successive measurements starting from an initial state, considered as healthy and regularly conducting follow-up. The difference in signals measured between two states is analyzed in order to extract some damages-sensitivesfeatures. After validation, PZT elements were glued to the fan cowl and to the IFS as well as on representative coupons and a suitable test bench is designed in order to validate our approach. Since one has to work on difference in signals, damage detection algorithms based on statistical hypothesis testing and PrincipalComponent Analysis (PCA) have been developed and validated. This was first tested for the detection of controlled damages introduced in coupons, and thereafter on the fan cowl and IFS. Robust damage localization algorithms (including with temperature variations) based on Time-of-flight (ToF) extraction from difference in signals, were developed and validated for these structures. A Bayesian approach for uncertainties quantification in the damage localization is also developed, leading to more accuracy in the damage localization results.

Depuis de nombreuses années, la compréhension de l'influence des fluides dans la déformation des roches est un enjeu majeur pour de nombreux scientifiques. Dans le cadre de ce projet de recherche, notre attention s’est focalisée sur l’observation et la modélisation des mécanismes d’interaction entre les parties fluide et solide lors de l’aérofracturation d’un milieu poreux. Notre dispositif expérimental reproduit le phénomène à basse pression et dans un système pertinent pour l’analyse optique, grâce à une cellule de Hele‐Shaw rectangulaire dans laquelle se trouve un milieu granulaire soumis à des écoulements de fluide interstitiel. Dans les expériences et les simulations nous avons observé ce que l’amplitude de la partie de fréquence basse du spectre puissance diminue avec la fracturation en progrès. Aussi, nous avons développé une méthode pour focaliser les ondes ce qui peut être utiliser pour estimer la position de la source. / Fluid induced brittle deformation of porous medium is a phenomenon commonly present in everyday life. From an espresso machine to volcanoes it is possible to see traces of this phenomenon. In a rectangular Hele‐Shaw cell we inject air into a loose porous medium. Then, we monitor this system using optical imaging using a high speed camera (1000 fps) and 4 high frequency resolution accelerometers. Using the numerical and experimental acoustic emissions, different sources of the recorded signal (vibrations due to air, changes in the effective stress due to fluid‐solid interactions) are analyzed. We found that, the peaks in the low frequency range (f < 20 kHz) diminishes while the medium fractures. Furthermore, we propose a new signal localization method based on energy amplitude attenuation and inversed source amplitude comparison. Furthermore, using optical and acoustic datasets and numerical simulations, the mechanics leading Type‐A and Type‐B earthquakes are explained.

Cette thèse s’inscrit dans le contexte de l’ANR ISABEAU (Innovating for Structural Adhesive Bonding Evaluation and Analysis with Ultrasounds, associant des physico-chimistes et des acousticiens) et cherche à apporter des connaissances nouvelles sur l’évaluation par ultrasons du niveau d’adhésion d’un collage structural par ondes de Lamb. La première partie porte sur l’aspect cohésif et particulièrement sur l’influence du paramètre de réticulation de réseaux époxys sur les courbes de dispersion des ondes de Lamb. La deuxième partie est consacrée à la caractérisation de niveaux d’adhésion dans une structure bicouche Aluminium Epoxy en tenant compte aussi bien des aspects cohésifs qu’adhésifs. Des échantillons à niveau d’adhésion connus et maîtrisés sont réalisés avec l’aide de physico-chimistes, où l’époxy est partiellement ou totalement réticulé, et où l’interface substrat adhésif a subit différents traitements chimiques et/ou mécaniques. Les résultats expérimentaux sont confrontés à ceux issus du modèle rhéologique de Jones résolu par éléments finis. Enfin, la troisième partie porte sur l’étude d’un assemblage tricouche Aluminium/Epoxy/Aluminium et cherche à qualifier différents niveaux d’adhésion à l’aide du modèle de Jones par ondes guidées et également par l’étude des fréquences de coupure des modes verticaux de la structure. / This thesis is in the context of the ANR ISABEAU (Innovating for Structural Adhesive Bonding Evaluation and Analysis with Ultrasounds, with the association of physico-chemists and acousticians) and seeks to bring new knowledge of the ultrasonic evaluation of the level of adhesion of structural bonding using Lamb waves. The first part focuses on the cohesive aspect, in particular on the influence of the crosslinking parameter of the polymer on the Lamb waves dispersion curves. The second part is dedicated to the evaluation of the adhesion level of a bi-layer Aluminum Epoxy taking into account the both cohesive and adhesive aspects. Samples of controlled and known adhesion levels are manufactured with the help of physico-chemists, where the crosslinking of the epoxy is partial or total, and the interface substrate-adhesive have been treated chemically and/or mechanically. The experimental results are compared to those obtained from a predictive model based on the rheological model of Jones solved by finite elements method. Finally, the third part focuses on the study of tri-layers Aluminum/Epoxy/Aluminum, looking for the qualification of different levels of adhesion with the Jones model using guided waves as well as the cut-off frequencies of the structure.

Cette thèse a pour objectif de développer des méthodes ultrasonores pour l’END de l’adhésion de joints collés. Pour aborder ce problème, les assemblages sont réalisés avec des substrats en aluminium (isotrope, élastique) et un adhésif de type époxy(isotrope, viscoélastique). Selon la géométrie des assemblages, deux méthodes sont proposées pour obtenir une information quantitative sur le niveau d’adhésion. La première est adaptée à des échantillons de type tri-couches avec recouvrement total.Elle consiste à analyser la transmission d’ondes ultrasonores planes de volume à travers l’assemblage immergé dans l'eau.Les conséquences d'un mauvais traitement de surface des substrats sur la mesure des modules de viscoélasticité du joint adhésif sont étudiées. Il a été montré que des interphases dégradées provoquent une anisotropie apparente des modules mesurés pour le joint de colle. Cette anisotropie a été quantifiée à l'aide de deux paramètres β1 et β2 dont les valeurs permettent de révéler la qualité des interphases. Ensuite, les modules élastiques (ou raideurs kL et kT) des interphases ont été estimés, en supposant les propriétés de l'adhésif connues. On montre que leurs valeurs sont maximales lorsque l'adhésion est nominale, et qu’elles diminuent franchement lorsque l'adhésion est dégradée, mais dans des proportions différentes. Des mesures de la contrainte à rupture, réalisées sur des échantillons préparés dans les mêmes conditions, corroborent la chute des modules des interphases. La seconde méthode est adaptée à des échantillons collés avec un recouvrement partiel. Elle es tbasée sur la mesure du coefficient de transmission d'ondes de Lamb se propageant d'un substrat à l'autre, à travers la zone de recouvrement. Une étude de sensibilité numérique (par éléments finis) des coefficients de transmission des modes de Lamb a montré que les propriétés mécaniques des interphases (modélisées par des raideurs surfaciques) peuvent être évaluées si les autres caractéristiques de l’assemblage sont connues. Des mesures expérimentales de ces coefficients de transmission ont ensuite été réalisées avec deux échantillons. L’un d’eux possède des interphases à adhésion nominale et l’autre des interphases dégradées. Une confrontation entre les résultats des mesures obtenus pour les différents modes et les simulations numériques permet de déterminer les valeurs des raideurs d’interfaces pour chaque échantillon. Là encore, il est observé qu’une mauvaise adhésion se traduit par des valeurs faibles des raideurs d’interfaces, qui peuvent être quantifiées, cette fois,grâce aux ondes ultrasonores guidées. / The aim of this thesis is to develop NDT ultrasonic methods for the evaluation of the adhesion at interfaces in bonded joints.To address this problem, the assemblies are made of aluminum substrates (isotropic, elastic) and epoxy adhesive (isotropic,viscoelastic). Depending on the geometry of the studied assemblies, two methods are proposed to obtain quantitativeinformation on the adhesion level. The first method is suitable for three-layered plate-like samples. It consists in analyzingthe transmission of bulk ultrasonic plane waves through the assembly immersed in water. The consequences of a inapropriatesurface treatment of the substrates on the measurement of viscoelastic moduli of the joint are studied. It has been shown thatdegraded interphases cause an apparent anisotropy of the measured elastic moduli of the joint. This anisotropy was quantifiedusing two parameters β1 and β2 whose values can reveal the quality of the interphases. Then, the elastic moduli (or stiffnesseskL and kT) of the interphases were estimated, assuming that the adhesive layer properties are known. It was shown that theirvalues are higher when the adhesion is nominal, and are strongly decreased when the adhesion is degraded. Measurements ofthe mechanical strength, on samples prepared under the same conditions, confirmed the drops in these elastic moduli. Thesecond method is more suitable for lap joint samples. It is based on the Lamb wave transmission coefficient measured fromone substrate to the other, across the overlap zone. A numerical sensitivity analysis (finite element model) of the transmissioncoefficients of Lamb waves showed that the mechanical properties of the interphases (modeled by interfacial stiffnesses) canbe evaluated if the other characteristics of the assembly are well known. Experimental measurements of the transmissioncoefficients were then performed on two samples. One of them has interphases with nominal adhesion and the other hasdegraded interphases. A comparison between the measured results obtained for the different modes and numericalsimulations was used to determine the values of the interfacial stiffnesses for each sample. Again, it was observed that pooradhesion leads to low values of the interfacial stiffnesses of the interphases, that can be quantified using guided ultrasonicwaves.

Non-destructive testing (NDT) techniques are critical to ensure integrity and safety of engineered structures. Structural health monitoring (SHM) is considered as the next step in the field enabling continuous monitoring of structures. The first part of the thesis concerns NDT and SHM using guided waves in plates, or Lamb waves, to perform imaging of plate structures. The imaging is performed using a fixed active array setup covering a larger area of a plate. Current methods are based on conventional beamforming techniques that do not efficiently exploit the available data from the small arrays used for the purpose. In this thesis an adaptive signal processing approach based on the minimum variance distortionless response (MVDR) method is proposed to mitigate issues related to guided waves, such as dispersion and the presence of multiple propagating modes. Other benefits of the method include a significant increase in resolution. Simulation and experimental results show that the method outperforms current standard processing techniques. The second part of the thesis addresses transducer design issues for resonant ultrasound inspections. Resonant ultrasound methods utilize the shape and frequency of the object's natural modes of vibration to detect anomalies. The method considered in the thesis uses transducers that are acoustically coupled to the inspected structures. Changes in the transducer's electrical impedance are used to detect defects. The sensitivity that can be expected from such a setup is shown to highly depend on the transducer resonance frequency, as well as the working frequency of the instrument. Through simulations and a theoretical argumentation, optimal conditions to achieve high sensitivity are given.

Ultrasonic guided wave imaging methods offer a cost-effective mechanism to perform in situ structural health monitoring (SHM) of large plate-like structures, such as commercial aircraft skins, ship hulls, storage tanks, and civil structures. However, current limits in imaging quality, environmental sensitivities, and implementation costs, among other things, are preventing widespread commercial adoption. The research presented here significantly advances state of the art guided wave imaging techniques using inexpensive, spatially distributed arrays of piezoelectric transducers. Novel adaptive imaging techniques are combined with in situ estimation and compensation of propagation parameters; e.g., dispersion curves and transducer transfer functions, to reduce sensitivity to unavoidable measurement inaccuracies and significantly improve resolution and reduce artifacts in guided wave images. The techniques can be used not only to detect and locate defects or damage, but also to characterize the type of damage. The improved ability to detect, locate, and now characterize defects or damage using a sparse array of ultrasonic transducers is intended to assist in the establishment of in situ guided wave imaging as a technically and economically viable tool for long-term monitoring of plate-like engineering structures.

Structural health monitoring (SHM) is concerned with the continuous, long-term assessment of structural integrity. One commonly investigated SHM technique uses guided ultrasonic waves, which travel through the structure and interact with damage. Measured signals are then analyzed in software for detection, estimation, and characterization of damage. One common configuration for such a system uses a spatially-distributed array of fixed piezoelectric transducers, which is inexpensive and can cover large areas. Typically, one or more sets of prerecorded baseline signals are measured when the structure is in a known state, with imaging methods operating on differences between follow-up measurements and these baselines. Presented here is a new class of SHM spatially-distributed array algorithms that rely on sparse reconstruction. For this problem, damage over a region of interest (ROI) is considered to be sparse. Two different techniques are demonstrated here. The first, which relies on sparse reconstruction, uses an a priori assumption of scattering behavior to generate a redundant dictionary where each column corresponds to a pixel in the ROI. The second method extends this concept by using multidimensional models for each pixel, with each pixel corresponding to a "block" in the dictionary matrix; this method does not require advance knowledge of scattering behavior. Analysis and experimental results presented demonstrate the validity of the sparsity assumption. Experiments show that images generated with sparse methods are superior to those created with delay-and-sum methods; the techniques here are shown to be tolerant of propagation model mismatch. The block-sparse method described here also allows the extraction of scattering patterns, which can be used for damage characterization.

Aerospace structures comprising of metals and composites are exposed to extreme loading and environmental conditions which necessitates regular inspection and maintenance to verify and monitor overall structural integrity. The timely and accurate detection, characterization and monitoring of structural cracking, corrosion, delaminating, material degradation and other types of damage are of major concern in the operational environment. Along with these, stringent requirements of safety and operational reliability have lead to evolutionary methods for evaluation of structural integrity. As a result, conventional nondestructive evaluation methods have moved towards a new concept, Structural Health Monitoring (SHM). SHM provides in-situ information a bout the occurrence of damage if any, location and severity of damage and residual life of the structure and also helps in improving the safety, reliability and confidence levels of critical engineering structures. While the concepts underlying SHM are well understood, development of methods is still in a nascent stage which requires extensive research that is challenging and has been the main motivating factor for undertaking the work reported in the thesis. Under the scope of the investigations carried out in this thesis, an integrated approach using Ultrasonic (active) and Acoustic Emission (passive) methods has been explored for SHM of metallic and composite plate structures using a distributed array of surface bonded circular piezoelectric wafer active sensors(PWAS). In ultrasonic method, PWAS is used for actuation and reception of Lamb waves in plate structures. The damage detection is based on the interaction of waves with defects resulting in reflection, mode conversion and scattering. In acoustic emission (AE) technique, the same sensor is used to pick up the stress waves generated by initiation or growth of defects or damage. Thus, both the active and passive damage detection methods are used in this work for detection, location and characterization of defects and damage in metallic and composite plates with complex geometries and structural discontinuities. And, thus the strategy adopted is to use time-frequency analysis and time reversal technique to extract the information from Lamb wave signals for damage detection and a geodesic based Lamb wave approach for location of the damage in the structure. To start with experiments were conducted on aluminum plates to study the interaction of Lamb waves with cracks oriented at different angles and on a titanium turbine blade of complex geometry with a fine surface crack. Further, the interaction of Lamb wave modes with multiple layer delaminations in glass fiber epoxy composite laminates was studied. The data acquired from these experiments yielded complex sets of signals which were not easily discern able for obtaining the information required regarding the defects and damage. So, to obtain a basic understanding of the wave patterns, Spectral finite element method has been employed for simulation of wave propagation in composite beams with damages like delamination and material degradation. Following this, time-frequency analysis of a number of simulated and experimental signals due to elastic wave scattering from defects and damage were performed using wavelet transform (WT) and Hilbert-Huang transform(HHT).And, a comparison of their performances in the context of quantifying the damages has given detailed insight into the problem of identifying localized damages, dispersion of multi-frequency non-stationary signals after their interaction with different types of defects and damage, finally leading to quantification. Conventional Lamb wave based damage detection methods look for the presence of defects and damage in a structure by comparing the signal obtained with the baseline signal acquired under healthy conditions. The environmental conditions like change in temperature can alter the Lamb wave signals and when compared with baseline signals may lead to false damage prediction. So, in order to make Lamb wave based damage detection baseline free, in the present work, the time reversal technique has been utilized. And, experiments were conducted on metallic and composite plates to study the time reversal behavior ofA0 andS0Lamb wave modes. Damage in the form of a notch was introduced in an aluminum plate to study the changes in the characteristics of the time reversed Lamb wave modes experimentally. This experimental study showed that there is no change in the shape of the time reversed Lamb wave in the presence of defect implying no breakage of time reversibility. Time reversal experiments were further carried out on a carbon/epoxy composite T-pull specimen representing a typical structure. And, the specimen was subjected to a tensile loading in a Universal testing machine. PWAS sensor measurements were carried out at no load as also during different stages of delamination due to tensile loading. Application of time reversed A 0 and S0 modes for both healthy and delaminated specimens and studying the change in shape of the time reversed Lamb wave signals has resulted in successful detection of the presence of delamination. The aim of this study has been to show the effectiveness of Lamb wave time reversal technique for damage detection in health monitoring applications. The next step in SHM is to identify the damage location after the confirmation of presence of damage in the structure. Wave based acoustic damage detection methods (UT and AE) employing triangulation technique are not suitable for locating damage in a structure which has complicated geometry and contains structural discontinuities. And, the problem further gets compounded if the material of the structure is anisotropic warranting complex analytical velocity models. In this work, a novel geodesic approach using Lamb waves is proposed to locate the AE source/damage in plate like structures. The approach is based on the fact that the wave takes minimum energy path to travel from the source to any other point in the connected domain. The geodesics are computed numerically on the meshed surface of the structure using Dijkstra’s algorithm. By propagating the waves in reverse virtually from these sensors along the geodesic path and by locating the first inter section point of these waves, one can get the AE source/damage location. Experiments have been conducted on metallic and composite plate specimens of simple and complex geometry to validate this approach. And, the results obtained using this approach has demonstrated the advantages for a practicable source location solution with arbitrary surfaces containing finite discontinuities. The drawback of Dijkstra’s algorithm is that the geodesics are allowed to travel along the edges of the triangular mesh and not inside them. To overcome this limitation, the simpler Dijkstra’s algorithm has been replaced by a Fast Marching Method (FMM) which allows geodesic path to travel inside the triangular domain. The results obtained using FMM showed that one can accurately compute the geodesic path taken by the elastic waves in composite plates from the AE source/damage to the sensor array, thus obtaining a more accurate damage location. Finally, a new triangulation technique based on geodesic concept is proposed to locate damage in metallic and composite plates. The performances of triangulaton technique are then compared with the geodesic approach in terms of damage location results and their suitability to health monitoring applications is studied.

Structural health monitoring (SHM) is damage detection strategy for aerospace, civiland mechanical infrastructure. This project tries to show that Lamb waves, that are being generated and sensed with piezoelectric transducers, can be used for damage detection in a SHM system. For these piezoelectric transducers to work, filtering and amplification circuits needs to be connected to them. This report include the design,simulation, assembly and testing of these circuits. Due to lack of time, it was not possible to generate and sense actual Lamb waves. The result of the thesis is thatsimulations and tests show that it is possible to generate and sense Lamb waves for damage detection in a SHM system / Structural health monitoring (SHM) är en skadedetekteringsstrategi för flyg-,civil- och mekanisk infrastruktur. Detta projekt försöker visa att Lambvågor, som genereras och avkänns med piezoelektriska givare, kan användas för skadedetektering i ett SHM-system. För att dessa piezoelektriska givare ska fungera krävs att filtrerings- och förstärkningskretsar är anslutna till dem. Denna rapport inkluderar design, simulering, montering och testning av dessa kretsar. På grund av tidsbrist var det inte möjligt att generera eller avkänna Lambvågor. Resultatet av examensarbetet är att simuleringar och tester visar att det är möjligt att generera och avkänna Lambvågor för skadedetektering i ett SHM-system.

Dans le cadre de cette thèse, nous nous sommes intéressés d'abord au mécanisme de résonance locale en développant différents modèles théoriques pour l'étude de nouveaux cristaux phononiques à résonance locale (CPRL) en plaque dont l'élément principal et l'élastomère (silicone rubber). Le mode opératoire de ce mécanisme a été étudié et les ouvertures des bandes interdites ont été interprétées théoriquement ainsi que les phénomènes physiques mis en jeu. La mise en évidence expérimentale de la bande interdite a été réalisée par la fabrication et la caractérisation de structures CPRL et une parfaite concordance a été constatée entre les résultats théoriques et expérimentaux. Une étude des phénomènes de guidage a permis par ailleurs de montrer la possibilité du confinement et de la transmission d'un seul mode élastique au niveau d'un CPRL. Dans un second temps, nous avons montré que les propriétés d'un CPRL peuvent être reproduites dans le régime hypersonique. En effet, par le biais de la mise en place d'un nouveau modèle théorique et en proposant un nouveau CPRL à ondes de surface à base de films de diamant, nous avons pu montrer que ce type de cristal peut faire l'objet d'applications potentielles à des fins de guidage et de démultiplexage et ainsi initier la conception de nouveaux dispositifs miniaturisés à ondes de surface destinés aux systèmes de télécommunications (>GHz). / In this PhD work, we focused our interest on the theoretical and experimental study of locally resonant phononic crystals (LRPC) operating in sonic and hypersonic regimes. We first developed numerical models to understand the dispersion behaviour of elastic waves in those plate-type LRPC in which the silicone rubber plays a key role. We showed that with such structure, we can understand clearly how the local resonance (LR) mechanism operates to give rise to opening of low frequency BG two orders of magnitude that the one allowed by Bragg diffusion. The physics behind such structures was also figured out by means of theoretical models. An experimental study was then undertaken by manufacturing a new LRPC plate which has been characterized in terms of elastic behaviour and BG investigation. A perfect concordance was demonstrated between the theoretical an experimental results by evidencing a 2kHz BG opening using a 6mm diameter rubber stub and 1cm periodicity. In addition, waveguiding phenomena was investigated in those structures and showed the possibility of guiding of only one defect mode unlike conventional PCs in which many defects modes are generated. A second part of this study was dealt with LR mechanism in hypersonic regime. Using a new numerical and theoretical approach, we were able to show the BG opening and waveguiding for surface acoustic waves (SAW) in a LRPC composed of metallic stubs arranged on a diamond semi-infinite substrate. The added value of LR in such frequency regime remains in its ability to select only one guided mode due to the longer involved wavelengths. Such structures can then be suitable for filtering and demultiplexing applications.