A comprehensive study of the 26th December 2004 Sumatra earthquake: possible implications on Earth rotation and investigations on the coseismic and postseismic stress diffusion associated with the seismic rupture

In this work a multidisciplinary study of the December 26th, 2004 Sumatra earthquake has been carried out. We have investigated both the effect of the earthquake on the Earth rotation and the stress field variations associated with the seismic event. In the first part of the work we have quantified the effects of a water mass redistribution associated with the propagation of a tsunami wave on the Earth’s pole path and on the length-of-day (LOD) and applied our modeling results to the tsunami following the 2004 giant Sumatra earthquake. We compared the result of our simulations on the instantaneous rotational axis variations with some preliminary instrumental evidences on the pole path perturbation (which has not been confirmed yet) registered just after the occurrence of the earthquake, which showed a step-like discontinuity that cannot be attributed to the effect of a seismic dislocation. Our results show that the perturbation induced by the tsunami on the instantaneous rotational pole is characterized by a step-like discontinuity, which is compatible with the observations but its magnitude turns out to be almost one hundred times smaller than the detected one. The LOD variation induced by the water mass redistribution turns out to be not significant because the total effect is smaller than current measurements uncertainties. In the second part of this work of thesis we modeled the coseismic and postseismic stress evolution following the Sumatra earthquake. By means of a semi-analytical, viscoelastic, spherical model of global postseismic deformation and a numerical finite-element approach, we performed an analysis of the stress diffusion following the earthquake in the near and far field of the mainshock source. We evaluated the stress changes due to the Sumatra earthquake by projecting the Coulomb stress over the sequence of aftershocks taken from various catalogues in a time window spanning about two years and finally analyzed the spatio-temporal pattern. The analysis performed with the semi-analytical and the finite-element modeling gives a complex picture of the stress diffusion, in the area under study, after the Sumatra earthquake. We believe that the results obtained with the analytical method suffer heavily for the restrictions imposed, on the hypocentral depths of the aftershocks, in order to obtain the convergence of the harmonic series of the stress components. On the contrary we imposed no constraints on the numerical method so we expect that the results obtained give a more realistic description of the stress variations pattern.

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.

Dynamic analysis of piled foundations in stratified soils by a BEM-FEM model

[EN] 3D BEM-FEM coupling model is used to study the dynamic behavior of piled foundations in elastic layered soils in presenceof a rigid bedrock. Piles are modelled by FEM as beams according to the Bernoulli hpothesis, and every layer of the soil is modelled by BEM as a cointinuum, semi-infinite, isotropic, homogeneous, linear, viscoelastic medium.

BEM-FEM coupling model for the dynamic analysis of piles and pile groups

[EN] This paper shows a BEM-FEM coupling model for the time harmonic dynamic analysis of piles and pile groups embeddes in an elastic half-space. Piles are modelled using Finite Elements (FEM) as a beam according to the Bernoulli hypothesis, while the soil modelled using  Boundary Elements (BEM) as a continuum, semi-infinite, isotropic, homogeneous or zoned homogeneous, linear, viscoelastic medium.

Influence of reservoir geometry and conditions on the seismic response of arch dams

[EN]An analysis of the influence that reservoir levels and bottom sediment properties (especially on the degree of saturation) have on the dynamic response of arch dams is caried out. For this purpose, a Boundary Element Model developed by the authors that allows the direct dynamic study of problems that incorporate scalar, viscoelastic and poroelastic media is used.

Dynamic structure-soil-structure interaction between nearby piled buildings under seismic excitation by BEM-FEM model

[EN]The dynamic throug-soil interaction between nearby pile supported structures in a viscoelastic half-space, under incident S and Rayleigh waves, is numerically studied. To this end, a three-dimensional viscoelastic BEM-FEM formulation for the dynamic analysis of piles and pile groups in the frequency domain is used, where soil is modelled by BEM and piles are simulated by one-dimensional finite elements as Bernouilli beams.

Simple superposition approach for dynamic analysis of piled embedded footings.

[EN]The effectiveness and accuracy of the superposition method in assessing the dynamic stiffness and damping functions of embedded footings supported by vertical piles in homogeneous viscoelastic soil is addressed. To the end, the impedances of piled embedded footings are compared to those obtained by suporposing the impedance functions of the corresponding pile groups and embedded footing treated separately.

3-D Boundary element-finite element method for the dynamic analysis of piled buildings.

[EN]A boundary element-finite element model is presented for the three-dimensional dynamic analysis of piled buildings in the frequency domain. Piles are modelled as compressible Euler-Bernoulli beams founded on a linear, isotropic, viscoelastic, zoned-homogeneous, unbounded layered soil, while multi-storey buildings are assumed to be comprised of vertical compressible piers and rigid slabs.

Crustal heterogeneities and complexities of fault processes

In this work we study the relation between crustal heterogeneities and complexities in fault processes. The first kind of heterogeneity considered involves the concept of asperity. The presence of an asperity in the hypocentral region of the M = 6.5 earthquake of June 17-th, 2000 in the South Iceland Seismic Zone was invoked to explain the change of seismicity pattern before and after the mainshock: in particular, the spatial distribution of foreshock epicentres trends NW while the strike of the main fault is N 7◦ E and aftershocks trend accordingly; the foreshock depths were typically deeper than average aftershock depths. A model is devised which simulates the presence of an asperity in terms of a spherical inclusion, within a softer elastic medium in a transform domain with a deviatoric stress field imposed at remote distances (compressive NE − SW, tensile NW − SE). An isotropic compressive stress component is induced outside the asperity, in the direction of the compressive stress axis, and a tensile component in the direction of the tensile axis; as a consequence, fluid flow is inhibited in the compressive quadrants while it is favoured in tensile quadrants. Within the asperity the isotropic stress vanishes but the deviatoric stress increases substantially, without any significant change in the principal stress directions. Hydrofracture processes in the tensile quadrants and viscoelastic relaxation at depth may contribute to lower the effective rigidity of the medium surrounding the asperity. According to the present model, foreshocks may be interpreted as induced, close to the brittle-ductile transition, by high pressure fluids migrating upwards within the tensile quadrants; this process increases the deviatoric stress within the asperity which eventually fails, becoming the hypocenter of the mainshock, on the optimally oriented fault plane. In the second part of our work we study the complexities induced in fault processes by the layered structure of the crust. In the first model proposed we study the case in which fault bending takes place in a shallow layer. The problem can be addressed in terms of a deep vertical planar crack, interacting with a shallower inclined planar crack. An asymptotic study of the singular behaviour of the dislocation density at the interface reveals that the density distribution has an algebraic singularity at the interface of degree ω between -1 and 0, depending on the dip angle of the upper crack section and on the rigidity contrast between the two media. From the welded boundary condition at the interface between medium 1 and 2, a stress drop discontinuity condition is obtained which can be fulfilled if the stress drop in the upper medium is lower than required for a planar trough-going surface: as a corollary, a vertically dipping strike-slip fault at depth may cross the interface with a sedimentary layer, provided that the shallower section is suitably inclined (fault "refraction"); this results has important implications for our understanding of the complexity of the fault system in the SISZ; in particular, we may understand the observed offset of secondary surface fractures with respect to the strike direction of the seismic fault. The results of this model also suggest that further fractures can develop in the opposite quadrant and so a second model describing fault branching in the upper layer is proposed. As the previous model, this model can be applied only when the stress drop in the shallow layer is lower than the value prescribed for a vertical planar crack surface. Alternative solutions must be considered if the stress drop in the upper layer is higher than in the other layer, which may be the case when anelastic processes relax deviatoric stress in layer 2. In such a case one through-going crack cannot fulfil the welded boundary conditions and unwelding of the interface may take place. We have solved this problem within the theory of fracture mechanics, employing the boundary element method. The fault terminates against the interface in a T-shaped configuration, whose segments interact among each other: the lateral extent of the unwelded surface can be computed in terms of the main fault parameters and the stress field resulting in the shallower layer can be modelled. A wide stripe of high and nearly uniform shear stress develops above the unwelded surface, whose width is controlled by the lateral extension of unwelding. Secondary shear fractures may then open within this stripe, according to the Coulomb failure criterion, and the depth of open fractures opening in mixed mode may be computed and compared with the well studied fault complexities observed in the field. In absence of the T-shaped decollement structure, stress concentration above the seismic fault would be difficult to reconcile with observations, being much higher and narrower.

Empirical and fundamental mechanical tests in the evaluation of dough and bread rheological properties

Bread dough and particularly wheat dough, due to its viscoelastic behaviour, is probably the most dynamic and complicated rheological system and its characteristics are very important since they highly affect final products’ textural and sensorial properties. The study of dough rheology has been a very challenging task for many researchers since it can provide numerous information about dough formulation, structure and processing. This explains why dough rheology has been a matter of investigation for several decades. In this research rheological assessment of doughs and breads was performed by using empirical and fundamental methods at both small and large deformation, in order to characterize different types of doughs and final products such as bread. In order to study the structural aspects of food products, image analysis techniques was used for the integration of the information coming from empirical and fundamental rheological measurements. Evaluation of dough properties was carried out by texture profile analysis (TPA), dough stickiness (Chen and Hoseney cell) and uniaxial extensibility determination (Kieffer test) by using a Texture Analyser; small deformation rheological measurements, were performed on a controlled stress–strain rheometer; moreover the structure of different doughs was observed by using the image analysis; while bread characteristics were studied by using texture profile analysis (TPA) and image analysis. The objective of this research was to understand if the different rheological measurements were able to characterize and differentiate the different samples analysed. This in order to investigate the effect of different formulation and processing conditions on dough and final product from a structural point of view. For this aim the following different materials were performed and analysed: - frozen dough realized without yeast; - frozen dough and bread made with frozen dough; - doughs obtained by using different fermentation method; - doughs made by Kamut® flour; - dough and bread realized with the addition of ginger powder; - final products coming from different bakeries. The influence of sub-zero storage time on non-fermented and fermented dough viscoelastic performance and on final product (bread) was evaluated by using small deformation and large deformation methods. In general, the longer the sub-zero storage time the lower the positive viscoelastic attributes. The effect of fermentation time and of different type of fermentation (straight-dough method; sponge-and-dough procedure and poolish method) on rheological properties of doughs were investigated using empirical and fundamental analysis and image analysis was used to integrate this information throughout the evaluation of the dough’s structure. The results of fundamental rheological test showed that the incorporation of sourdough (poolish method) provoked changes that were different from those seen in the others type of fermentation. The affirmative action of some ingredients (extra-virgin olive oil and a liposomic lecithin emulsifier) to improve rheological characteristics of Kamut® dough has been confirmed also when subjected to low temperatures (24 hours and 48 hours at 4°C). Small deformation oscillatory measurements and large deformation mechanical tests performed provided useful information on the rheological properties of samples realized by using different amounts of ginger powder, showing that the sample with the highest amount of ginger powder (6%) had worse rheological characteristics compared to the other samples. Moisture content, specific volume, texture and crumb grain characteristics are the major quality attributes of bread products. The different sample analyzed, “Coppia Ferrarese”, “Pane Comune Romagnolo” and “Filone Terra di San Marino”, showed a decrease of crumb moisture and an increase in hardness over the storage time. Parameters such as cohesiveness and springiness, evaluated by TPA that are indicator of quality of fresh bread, decreased during the storage. By using empirical rheological tests we found several differences among the samples, due to the different ingredients used in formulation and the different process adopted to prepare the sample, but since these products are handmade, the differences could be account as a surplus value. In conclusion small deformation (in fundamental units) and large deformation methods showed a significant role in monitoring the influence of different ingredients used in formulation, different processing and storage conditions on dough viscoelastic performance and on final product. Finally the knowledge of formulation, processing and storage conditions together with the evaluation of structural and rheological characteristics is fundamental for the study of complex matrices like bakery products, where numerous variable can influence their final quality (e.g. raw material, bread-making procedure, time and temperature of the fermentation and baking).

Solvatationsdynamik: lokales Relaxationsverhalten glasbildender Systeme

In dieser Arbeit wurde das lokale Relaxationsverhalten niedermolekularer glasbildender Materialien mit der Methode der Solvatationsdynamik untersucht. Bei dieser Methode werden phosphoreszente Farbstoffe als molekulare Sonden für die lokale Dynamik im Glasbildner eingesetzt. Je nach verwendeter Sonde sind unterschiedliche Eigenschaften zugänglich:Mit Farbstoffen, die ihr Dipolmoment bei optischer Anregung nicht ändern, wird eine mechanische Solvatation gemessen, die die lokale viskoelastische Antwort des Materials widerspiegelt. Mit Farbstoffen, die eine Änderung des Dipolmoments bei optischer Anregung aufweisen,sind zusätzlich lokale dielektrische Eigenschaften des Materials zugänglich, die bei endlicher Polarität des Lösungsmittels dominieren. Das heterogene Relaxationsverhalten des Glasbildners 2-Methyltetrahydrofuran wurde quantitativ untersucht.Auf einem Temperaturbereich, auf dem die mittlere Relaxationszeit um mehr als 4 Dekaden variiert, konnte gezeigt werden, daß die Relaxation lokal rein exponentiell verläuft. Zur Abschätzung von Reichweiteneffekten wurden Solvatationsmessungen in einschränkenden Geometrien in Form von porösen Sol-Gel Gläsern mit Porendurchmessern zwischen 7,5-2,5 nm durchgeführt. Der Einfluß der Beschaffenheit der Porenoberfläche wurde durch Vergleichzwischen der Solvatation in nativen und in silanisierten Gläsern untersucht. Es wurde gezeigt, daß auch in den kleinsten verwendeten silanisierten Poren alle Charakteristika des jeweiligen Bulk-Systems erhalten bleiben.In den nativen porösen Gläsern dagegen führt der Einfluß der stark polaren Oberfläche zu einer Änderung der Dynamik.

Studio, verifica ed ottimizzazione di una macchina automatica opercolatrice

“Perdita di fase tra il gruppo riempimento polvere/cronoidi con LVDT ed il gruppo piattello durante la fase di arresto a causa della mancanza imprevista di corrente elettrica”. La perdita della fase tra differenti gruppi può avvenire per due ragioni: 1) a causa della cedevolezza di alcuni elementi della catena cinematica 2) per problemi relativi al software che comanda gli assi elettronici e che è responsabile del movimento coordinato dei vari gruppi. La prima ipotesi è molto improbabile in macchine come l’ADAPTA, dove non sono presenti elementi cinematici con elevata cedevolezza (come ad esempio delle cinghie) essendo i movimenti guidati da camme scanalate (che, contrariamente, sono molto rigide) e/o da camme elettriche (motori Brushless). Il secondo caso invece avviene ogni volta che viene a mancare la corrente elettrica in maniera accidentale (ad esempio a causa di un black-out). La mancanza di energia elettrica impedisce al computer a bordo macchina di continuare a monitorare e controllare il funzionamento dei vari assi elettronici della macchina, che sono comandati da motori brushless, che quindi continuano per inerzia il loro moto fino a fermarsi. Siccome ogni gruppo ha un’inerzia e una velocità/accelerazione istantanea diversa e variabile in funzione della posizione assunta all’interno del proprio ciclo nel momento della mancanza di corrente elettrica, i tempi di arresto risultano differenti, e questo causa la perdita di fase. I gruppi riempimento polvere/cronoidi e spingitori fondelli presentano interferenza meccanica col gruppo piattello per una certa durata del suo ciclo; in questa fase gli elementi entrano nelle boccole porta fondelli delle slitte mobili del piattello. È l’unico caso in tutta la macchina in cui parti meccaniche di gruppi diversi, vanno a “intersecare” i propri spostamenti. La progettazione di macchine che presentano interferenze di questo genere è generalmente sconsigliabile poiché si potrebbe presentare il rischio di uno scontro nel caso avvenga una perdita di fase tra i gruppi. Si sono cercate diverse soluzioni mirate a evitare un urto, derivato dall’interferenza meccanica, in caso di black-out oppure di ridurre il più possibile i danni che questa casualità può portare alla macchina. Il gruppo piattello è definito master rispetto a tutti gli altri gruppi; ha un’inerzia molto piccola e questo fa si che, in caso di black-out, il suo arresto avvenga praticamente istantaneamente, al contrario di ciò che avviene per tutti gli altri gruppi slave dotati di inerzia maggiore. Siccome l’arresto del piattello è istantaneo, il pericolo per tastatori e punzoni sollevatori di urto può avvenire solamente per compenetrazione: se gli elementi sono già all’interno della boccola, e restando fermo il piattello, l’inerzia del gruppo che fa proseguire il moto per alcuni istanti non farebbe altro che portarli fuori dalla boccola, non provocando alcun danno. Non vi è perciò il pericolo di “taglio” di questi elementi da parte del piattello. Perciò l’unica possibilità è che il black-out avvenga in un istante del ciclo dove gli elementi si stanno muovendo per entrare nelle boccole mentre anche il piattello è in rotazione.

Real time monitoring of DNA hybridization and replication using optical and acoustic biosensors

Während in den letzten Jahren zahlreiche Biosensoren zum spezifischen Nachweis von DNA entwickelt wurden, ist die Anwendung oberflächen-sensitiver Methoden auf enzymatische Reaktionen ein vergleichsweise neues Forschungsgebiet. Trotz der hohen Empfindlichkeit und der Möglichkeit zur Echtzeit-Beobachtung molekularer Prozesse, ist die Anwendung dieser Methoden nicht etabliert, da die Enzymaktivität durch die Nähe zur Oberfläche beeinträchtigt sein kann. Im Rahmen dieser Arbeit wurde die enzymatische Verlängerung immobilisierter DNA durch eine DNA Polymerase mit Hilfe von Oberflächenplasmonen-Fluoreszenzspektroskopie (SPFS) und einer Quarzkristall-Mikrowaage (QCM) untersucht. Die Synthese von DNA wurde im Fall der QCM als Massenzuwachs detektiert, der sich im Abfall der Resonanzfrequenz des Schwingquarzes und einem Anstieg seiner Dissipationsenergie ausdrückte. Die viskoelastischen Eigenschaften der DNA-Schichten wurden bestimmt, indem die erhaltenen Daten mit einem auf Voigt basierenden Modell ausgewertet wurden. SPFS nutzt das evaneszente elektromagnetische Feld, das mit Oberflächenplasmonen einhergeht, zur oberflächen-sensitiven Anregung von Chromophoren. Auf diese Weise wurde der Einbau von Farbstoff-markierten Nukleotiden in die entstehende DNA-Sequenz als Indikator für das Voranschreiten der Reaktion ausgenutzt. Beide Meßtechniken konnten erfolgreich zum Nachweis der DNA-Synthese herangezogen werden, wobei die katalytische Aktivität des Enzyms vergleichbar zu der in Lösung gemessenen war.

Fourier-transform rheology on anionically synthesised polymer melts and solutions of various topology

Aim of this thesis was to further extend the applicability of the Fourier-transform (FT) rheology technique especially for non-linear mechanical characterisation of polymeric materials on the one hand and to investigated the influence of the degree of branching on the linear and non-linear relaxation behaviour of polymeric materials on the other hand. The latter was achieved by employing in particular FT-rheology and other rheological techniques to variously branched polymer melts and solutions. For these purposes, narrowly distributed linear and star-shaped polystyrene and polybutadiene homo-polymers with varying molecular weights were anionically synthesised using both high-vacuum and inert atmosphere techniques. Furthermore, differently entangled solutions of linear and star-shaped polystyrenes in di-sec-octyl phthalate (DOP) were prepared. The several linear polystyrene solutions were measured under large amplitude oscillatory shear (LAOS) conditions and the non-linear torque response was analysed in the Fourier space. Experimental results were compared with numerical predictions performed by Dr. B. Debbaut using a multi-mode differential viscoelastic fluid model obeying the Giesekus constitutive equation. Apart from the analysis of the relative intensities of the harmonics, a detailed examination of the phase information content was developed. Further on, FT-rheology allowed to distinguish polystyrene melts and solutions due to their different topologies where other rheological measurements failed. Significant differences occurred under LAOS conditions as particularly reflected in the phase difference of the third harmonic, Ħ3, which could be related to shear thinning and shear thickening behaviour.

Evaluierung und Quantifizierung von Einflussfaktoren auf die aerodynamischen Eigenschaften inhalativer Pulvermischungen

Die Analyse der Einflussfaktoren Kapselmaterial, Trägerlaktose, Additiv-Anteil, Mischreihenfolge und mechanische Belastung ergibt verschiedene Haupteinflussfaktoren und kombinierte Wechselwirkungen, die einen deutlichen Effekt auf die aerodynamischen Eigenschaften (ausgebrachte Dosis und Verteilung des aerodynamischen Feinanteils) haben. Sowohl das Kapselmaterial als auch die Trägerlaktose werden als primäre Einflussfaktoren identifiziert: Mit „inerten” PE-Kapseln lassen sich höhere Resultate erzielen als mit „adhäsiven” Gelatine-Kapseln, während „feines” Trägermaterial die Ausbringung stärker fördert, als „grobes“ Trägermaterial. Alles Faktoren, die sich in gleicher Weise auf die Verteilung des aerodynamischen Feinanteils auswirken. Der zur binären Mischung zugefügte Additiv-Anteil führt neben einem ausgeprägten kapselmaterialabhängigen Effekt auf die Höhe der ausgebrachten Dosis auch zu einer Steigerung in der Verteilung des aerodynamischen Feinanteils („Umhüllungseffekt”), was durch die Variation der Mischreihenfolge anschaulich nachgewiesen wird. Die anschließende detaillierte Charakterisierung der beobachteten Effekte auf Basis von Partikelmorphologie und Oberflächenstruktur der Kapseln führt zu einer Differenzierung in Partikel-Partikel-Wechselwirkungen (z.B. „Umhüllungseffekt”, „Multiplets“) und Partikel-Kapsel- Wechselwirkungen (z.B. „Auspudereffekt”). Durch Entwicklung von analytischen Verfahren wird eine Quantifizierung der Trägerlaktose möglich, was für den Nachweis einer positiven Korrelation zwischen den aerodynamischen Eigenschaften von Wirkstoff und Trägerlaktose notwendig ist. Sowohl für die ausgebrachte Dosis als auch für die Verteilung des aerodynamischen Feinanteils zeigt sich ein parallel verlaufender Anstieg der Ergebnisse.