Creep and damage models for the service behaviour of structural members

Deformability is often a crucial to the conception of many civil-engineering structural elements. Also, design is all the more burdensome if both long- and short-term deformability has to be considered. In this thesis, long- and short-term deformability has been studied from the material and the structural modelling point of view. Moreover, two materials have been handled: pultruded composites and concrete. A new finite element model for thin-walled beams has been introduced. As a main assumption, cross-sections rigid are considered rigid in their plane; this hypothesis replaces that of the classical beam theory of plane cross-sections in the deformed state. That also allows reducing the total number of degrees of freedom, and therefore making analysis faster compared with twodimensional finite elements. Longitudinal direction warping is left free, allowing describing phenomena such as the shear lag. The new finite-element model has been first applied to concrete thin-walled beams (such as roof high span girders or bridge girders) subject to instantaneous service loadings. Concrete in his cracked state has been considered through a smeared crack model for beams under bending. At a second stage, the FE-model has been extended to the viscoelastic field and applied to pultruded composite beams under sustained loadings. The generalized Maxwell model has been adopted. As far as materials are concerned, long-term creep tests have been carried out on pultruded specimens. Both tension and shear tests have been executed. Some specimen has been strengthened with carbon fibre plies to reduce short- and long- term deformability. Tests have been done in a climate room and specimens kept 2 years under constant load in time. As for concrete, a model for tertiary creep has been proposed. The basic idea is to couple the UMLV linear creep model with a damage model in order to describe nonlinearity. An effective strain tensor, weighting the total and the elasto-damaged strain tensors, controls damage evolution through the damage loading function. Creep strains are related to the effective stresses (defined by damage models) and so associated to the intact material.

Design and Computation of Warped Time-Frequency Transforms

In this work we introduce an analytical approach for the frequency warping transform. Criteria for the design of operators based on arbitrary warping maps are provided and an algorithm carrying out a fast computation is defined. Such operators can be used to shape the tiling of time-frequency plane in a flexible way. Moreover, they are designed to be inverted by the application of their adjoint operator. According to the proposed mathematical model, the frequency warping transform is computed by considering two additive operators: the first one represents its nonuniform Fourier transform approximation and the second one suppresses aliasing. The first operator is known to be analytically characterized and fast computable by various interpolation approaches. A factorization of the second operator is found for arbitrary shaped non-smooth warping maps. By properly truncating the operators involved in the factorization, the computation turns out to be fast without compromising accuracy.

Comportamento dinamico fuori del piano di pareti murarie: influenza della deformabilità degli impalcati

The aim of this study was to investigate the influence of the diaphragm flexibility on the behavior of out-of-plane walls in masonry buildings. Simplified models have been developed to perform kinematic and dynamic analyses in order to compare the response of walls with different restraint conditions. Kinematic non linear analyses of assemblages of rigid blocks have been performed to obtain the acceleration-displacement curves for walls with different restraint conditions at the top. A simplified 2DOF model has been developed to analyse the dynamic response of the wall with an elastic spring at the top, following the Housner rigid behaviour hypothesis. The dissipation of energy is concentrated at every impact at the base of the wall and is modelled through the introduction of the coefficient of restitution. The sets of equations of the possible configurations of the wall, depending on the different positions of the centre of rotation at the base and at the intermediate hinge have been obtained. An algorithm for the numerical integration of the sets of the equations of motion in the time domain has been developed. Dynamic analyses of a set of walls with Gaussian impulses and recorded accelerograms inputs have been performed in order to compare the response of the simply supported wall with the one of the wall with elastic spring at the top. The influence of diaphragm stiffness Kd has been investigated determining the variation of maximum displacement demand with the value of Kd. A more regular trend has been obtained for the Gaussian input than for the recorded accelerograms.

Doppia imposizione sui redditi transfrontalieri tra ordinamenti tributari e mercato europeo.

La ricerca affronta in modo unitario e nell’ottica europea i multiformi fenomeni della doppia imposizione economica e giuridica, assumendo come paradigma iniziale la tassazione dei dividendi cross-border. Definito lo statuto giuridico della doppia imposizione, se ne motiva la contrarietà all’ordinamento europeo e si indagano gli strumenti comunitari per raggiungere l’obiettivo europeo della sua eliminazione. In assenza di un’armonizzazione positiva, il risultato sostanziale viene raggiunto grazie all’integrazione negativa. Si dimostra che il riserbo della Corte di Giustizia di fronte a opzioni di politica fiscale è soltanto un’impostazione di facciata, valorizzando le aperture giurisprudenziali per il suo superamento. Questi, in sintesi, i passaggi fondamentali. Si parte dall’evoluzione delle libertà fondamentali in diritti di rango costituzionale, che ne trasforma il contenuto economico e la portata giuridica, attribuendo portata costituzionale ai valori di neutralità e non restrizione. Si evidenzia quindi il passaggio dal divieto di discriminazioni al divieto di restrizioni, constatando il fallimento del tentativo di configurare il divieto di doppia imposizione come principio autonomo dell’ordinamento europeo. Contemporaneamente, però, diventa opportuno riesaminare la distinzione tra doppia imposizione economica e giuridica, e impostare un unico inquadramento teorico della doppia imposizione come ipotesi paradigmatica di restrizione alle libertà. Conseguentemente, viene razionalizzato l’impianto giurisprudenziale delle cause di giustificazione. Questo consente agevolmente di legittimare scelte comunitarie per la ripartizione dei poteri impositivi tra Stati Membri e l’attribuzione delle responsabilità per l’eliminazione degli effetti della doppia imposizione. In conclusione, dunque, emerge una formulazione europea dell’equilibrato riparto di poteri impositivi a favore dello Stato della fonte. E, accanto ad essa, una concezione comunitaria del principio di capacità contributiva, con implicazioni dirompenti ancora da verificare. Sul piano metodologico, l’analisi si concentra criticamente sull’operato della Corte di Giustizia, svelando punti di forza e di debolezza della sua azione, che ha posto le basi per la risposta europea al problema della doppia imposizione.

Travi in parete sottile con deformabilità a taglio e distorsione di sezione: formulazione teorica, modellazione numerica e applicazioni

Il presente lavoro di tesi ha riguardato una riformulazione teorica, una modellazione numerica e una serie di applicazioni della Generalized Beam Theory per lo studio dei profili in parete sottile con particolare riguardo ai profili in acciaio formati a freddo. In particolare, in questo lavoro è proposta una riscrittura della cinematica GBT che introduce in una forma originale la deformabilità a taglio della sezione. Tale formulazione consente di conservare il formato della GBT classica e introducendo uno spostamento di warping variabile lungo lo spessore della generica parete della sezione trasversale, garantisce perfetta coerenza tra la componente flessionale e tagliante della trave. E' mostrato, come tale riscrittura consente in maniera agevole di ricondursi alle teorie classiche di trave, anche deformabili a taglio. Inoltre, in tale contesto, è stata messa a punto una procedura di ricostruzione dello sforzo tridimensionale in grado ricostruire la parte reattiva delle componenti di tensioni dovuta al vincolamento interno proprio di un modello a cinematica ridotta. Sulla base di tali strumenti, è stato quindi proposto un approccio progettuale dedicato ai profili in classe 4, definito ESA (Embedded Stability Analysis), in grado di svolgere le verifiche coerentemente con quanto prescritto dalle normative vigenti. Viene infine presentata una procedura numerica per la progettazione di sistemi di copertura formati a freddo. Tale procedura permette di effettuare in pochi semplici passi il progetto dell'arcareccio e dei dettagli costruttivi relativi alla copertura.

Sparse Signal Representation of Ultrasonic Signals for Structural Health Monitoring Applications

Assessment of the integrity of structural components is of great importance for aerospace systems, land and marine transportation, civil infrastructures and other biological and mechanical applications. Guided waves (GWs) based inspections are an attractive mean for structural health monitoring. In this thesis, the study and development of techniques for GW ultrasound signal analysis and compression in the context of non-destructive testing of structures will be presented. In guided wave inspections, it is necessary to address the problem of the dispersion compensation. A signal processing approach based on frequency warping was adopted. Such operator maps the frequencies axis through a function derived by the group velocity of the test material and it is used to remove the dependence on the travelled distance from the acquired signals. Such processing strategy was fruitfully applied for impact location and damage localization tasks in composite and aluminum panels. It has been shown that, basing on this processing tool, low power embedded system for GW structural monitoring can be implemented. Finally, a new procedure based on Compressive Sensing has been developed and applied for data reduction. Such procedure has also a beneficial effect in enhancing the accuracy of structural defects localization. This algorithm uses the convolutive model of the propagation of ultrasonic guided waves which takes advantage of a sparse signal representation in the warped frequency domain. The recovery from the compressed samples is based on an alternating minimization procedure which achieves both an accurate reconstruction of the ultrasonic signal and a precise estimation of waves time of flight. Such information is used to feed hyperbolic or elliptic localization procedures, for accurate impact or damage localization.

Modelling and analysis of thin-walled beams in the context of the Generalized Beam Theory

In this work, the Generalized Beam Theory (GBT) is used as the main tool to analyze the mechanics of thin-walled beams. After an introduction to the subject and a quick review of some of the most well-known approaches to describe the behaviour of thin-walled beams, a novel formulation of the GBT is presented. This formulation contains the classic shear-deformable GBT available in the literature and contributes an additional description of cross-section warping that is variable along the wall thickness besides along the wall midline. Shear deformation is introduced in such a way that the classical shear strain components of the Timoshenko beam theory are recovered exactly. According to the new kinematics proposed, a reviewed form of the cross-section analysis procedure is devised, based on a unique modal decomposition. Later, a procedure for a posteriori reconstruction of all the three-dimensional stress components in the finite element analysis of thin-walled beams using the GBT is presented. The reconstruction is simple and based on the use of three-dimensional equilibrium equations and of the RCP procedure. Finally, once the stress reconstruction procedure is presented, a study of several existing issues on the constitutive relations in the GBT is carried out. Specifically, a constitutive law based on mirroring the kinematic constraints of the GBT model into a specific stress field assumption is proposed. It is shown that this method is equally valid for isotropic and orthotropic beams and coincides with the conventional GBT approach available in the literature. Later on, an analogous procedure is presented for the case of laminated beams. Lastly, as a way to improve an inherently poor description of shear deformability in the GBT, the introduction of shear correction factors is proposed. Throughout this work, numerous examples are provided to determine the validity of all the proposed contributions to the field.

The relationship between eating behavior and psychological distress among overweight and obese people: is there a role for mindfulness?

This research based on 3 indipendent studies, sought to explore the nature of the relationship between overweight/obesity, eating behaviors and psychological distress; the construct of Mindful eating trough the validation of the Italian adaptation of the Mindful Eating Questionnaire (MEQ); the role of mindfulnessand mindful eating as respectively potential mediator and moderator between overeating behavior (binge eating and emotional overeating) and negative outcomes (psychological distress, body dissatisfaction). All the samples were divided in normal weight, overweight and obese according to BMI categories. STUDY1: In a sample of 691 subjects (69.6% female, mean aged 39.26 years) was found that BMI was not associated with psychological distress, whereas binge eating increases the psychopathological level. BMI and male gender represent negative predictors of psychological distress, but certain types of overeating (i.e., NES/grazing, overeating during or out of meals, and guilt/restraint) result as positive predictors.. STUDY 2 : A sample of 1067 subjects (61.4% female, mean aged 34 years) was analized. The Italian MEQ resulted in a 26-item 4-factor model measuring Disinhibition, Awareness, Distraction, and Emotional response. Internal consistency and test-retest reliability were acceptable MEQ correlated positively with mindfulness (FMI) and it was associated with sociodemographic variables, BMI, meditation. type of exercise and diet. STUDY 3, based on a sample of 502 subjects (68.8% female, mean aged 39.42 years) showed that MEQ and FMI negatively correlated with BES, EOQ, SCL-90-R, and BIAQ. Obese people showed lower level of mindful eating and higher levels of binge eating, emotional overeating, and body dissatisfaction, compared to the other groups Mindfulness resulted to partially mediates the relationship between a) binge eating and psychological distress, b) emotional overeating and psychological distress, c) binge eating and mental well-being, d) emotional overeating and menal well-being. Mindful eating was a moderator only in the relationship between emotional overeating and body dissatisfaction.