Recent developments show the applications of smart structure in different engineering fields. Smart structures can be used for shape and vibration control, structural health monitoring etc. Smart materials can be integrated to composite structure to enhance its abilities. Fiber reinforced composites are the advanced materials of choice in aerospace applications due to its high strength and stiffness, light weight and ability to tailor according to the design requirements. Due to complex manufacturing process and varying operating conditions, composites are susceptible to variation in material properties and damages. The present study focuses on the effect of uncertainties in material properties and damages on a smart composite structure. A cantilevered composite plate with surface mounted piezoelectric sensor/ actuator is considered in this study. The sensors and the actuators are connected through a conventional feedback controller and the controller is configured for vibration control application. Matrix cracks are considered as damage in the composite plate. To study the effect of material uncertainty, probabilistic analysis is performed considering composite material properties and piezoelectric coefficients as independent Gaussian random variables. Numerical results show that there is substantial change in dynamic response of the smart composite plate due to material uncertainties and damage. Deviation due to material uncertainty and damage can be compensated by actively tuning the feedback control system. Feedback control parameters can be properly adjusted to match the baseline response. Here baseline case represents the response of the undamaged smart composite plate with deterministic material properties. The change in feedback control parameters are identified as damage indicator. Feedback control based damage detection method is proposed for structural health monitoring in smart composite structure and robustness of the method is studied considering material uncertainties. Fractal dimension based damage detection method is proposed to detect localized matrix cracks in a composite plate with spatially varying material properties. Variation in material properties follows a two dimensional homogeneous Gaussian random field. Fractal dimension is used to extract the damage information from the static response of composite plate with localized matrix cracks. It is found that fractal dimension based approach is capable of detecting the location of the single and multiple damages from the static deflection curve. Robustness of the fractal dimension based damage detection method is studied considering spatial uncertainties in material properties.

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Alors que le contentieux des produits de santé n'a jamais été aussi fourni, l'application du régime spécial de responsabilité du fait des produits défectueux issu de la directive européenne du 25 juillet 1985, entraîne l'émergence d'un certain nombre d'incertitudes qui affectent directement le sort des demandes en réparation. Les incertitudes matérielles ont, pour la plupart reçu un traitement efficace par l'action conjuguée de la jurisprudence et du législateur. Si les outils juridiques traditionnels, tels que les présomptions ou la causalité alternative, ont permis de résoudre une partie non négligeable de ces incertitudes, les juges se sont également attachés à développer des outils nouveaux comme la balance bénéfice/risque ou encore la répartition de l'obligation à la dette selon les parts de marché. Cependant, si le développement de ces outils juridiques, plus adaptés aux spécificités des produits de santé, a permis d'apporter une solution efficace aux incertitudes matérielles, le traitement de l'incertitude scientifique, fondé sur les présomptions du fait de l'homme, n'apporte, toujours pas, de solutions satisfaisantes. L'étude du traitement des incertitudes dans le contentieux des produits de santé défectueux permet d'apprécier les acquis mais également les limites atteintes par l'utilisation de certains outils mis à la disposition des juges et qui se révèlent parfois inadaptés. L'intervention du législateur et la prise en compte des spécificités des produits de santé, permettraient de développer un système d'indemnisation adapté qui interviendrait de façon subsidiaire en cas d'échec de la voie contentieuse. / At a time when healthcare-product litigation is attaining record heights, the implementation into French law of the special liability regime for defective products, which derives from the European Council Directive of 25 July 1985, has led to the emergence of several grey areas of uncertainty which have a direct impact on the outcome of claims for compensation. Areas of material uncertainty have, for the most part, been effectively dealt with through the combined application of case law and the intervention of the legislator. While classic legal tools such as presumption and alternative causality provide a means to resolve a non-negligible part of these uncertainties, judges have also endeavoured to develop new tools, such as risk/utility test and market-share liability. Still, although the development of these legal tools - better suited as they are to the specific features of healthcare products - provide an effective solution to resolving areas of material uncertainty, the treatment of scientific uncertainty, which is based on presumptions of fact, does not always provide satisfactory solutions. The study of the legal treatment of uncertainty in healthcare-product litigation provides a means to assess the benefits but also the limitations of certain tools that are now available to judges but which at times prove inadequate. Intervention on the part of the legislator, while at the same time taking into account the specific features of healthcare products, could lead to the development of a suitable compensation system that could afford relief when litigation fails.