Static analysis of functionally graded cylindrical and conical shells or panels using the generalized unconstrained third order theory coupled with the stress recovery

A 2D Unconstrained Third Order Shear Deformation Theory (UTSDT) is presented for the evaluation of tangential and normal stresses in moderately thick functionally graded conical and cylindrical shells subjected to mechanical loadings. Several types of graded materials are investigated. The functionally graded material consists of ceramic and metallic constituents. A four parameter power law function is used. The UTSDT allows the presence of a finite transverse shear stress at the top and bottom surfaces of the graded shell. In addition, the initial curvature effect included in the formulation leads to the generalization of the present theory (GUTSDT). The Generalized Differential Quadrature (GDQ) method is used to discretize the derivatives in the governing equations, the external boundary conditions and the compatibility conditions. Transverse and normal stresses are also calculated by integrating the three dimensional equations of equilibrium in the thickness direction. In this way, the six components of the stress tensor at a point of the conical or cylindrical shell or panel can be given. The initial curvature effect and the role of the power law functions are shown for a wide range of functionally conical and cylindrical shells under various loading and boundary conditions. Finally, numerical examples of the available literature are worked out.

Le determinanti del ricorso al debito delle piccole e medie imprese italiane: un'analisi empirica

L’analisi condotta nella tesi mira ad indagare le determinanti del debito delle piccole e medie imprese italiane: la domanda di ricerca è indirizzata a capire se la struttura finanziaria di queste ultime segue i modelli teorici sviluppati nell’ambito della letteratura di Corporate Finance o se, d’altro canto, non sia possibile prescindere dalle peculiarità delle piccole e medie imprese per spiegare il ricorso alle diverse fonti di finanziamento. La ricerca empirica effettuata nella dissertazione vuole essere un tentativo di coniugare le teorie di riferimento e le evidenze empiriche relative alle piccole e medie imprese italiane, analizzandone il comportamento attraverso lo studio del campione di dati fornito da Capitalia, relativo alla Nona Indagine per il periodo 2001-2003. Il campione in oggetto fa riferimento a circa 4000 imprese con più di 10 addetti, prevalentemente del settore manifatturiero. Per indagare le determinanti del debito nelle sue componenti più tradizionali, si sono prese in considerazione il debito commerciale e il debito bancario a breve termine come forme di finanziamento correnti mentre, tra le forme di finanziamento di medio-lungo periodo, le variabili usate sono state il ricorso al debito bancario a lungo termine e a strumenti obbligazionari. Inoltre, si è ricorso anche a misure più tradizionali di leva finanziaria, quali il rapporto di indebitamento, la proporzione tra debiti bancari, sia di breve che di lungo periodo, e l’ammontare dei finanziamenti esterni rispetto al valore dell’impresa, distinguendo anche qui, tra finanziamenti a breve e a lungo termine. L’analisi descrittiva ha mostrato il massiccio ricorso al debito bancario e, in generale, alle forme di indebitamento a breve. Le imprese di dimensioni minori, più giovani e opache tendono a ricorrere alle fonti interne e a forme di indebitamento a breve, mentre le imprese maggiormente dimensionate mostrano una struttura del debito più articolata. Questo ha suggerito la definizione di una diversa misura di debito, che tiene conto della complessità della sua struttura all’interno delle imprese, in base ad un ricorso di tipo gerarchico alle fonti di finanziamento: il grado di complessità dipende dalle tipologie e dalla quantità dei contratti di debito conclusi dall’impresa . E’ plausibile pensare che le imprese ricorrano prima alle fonti interne di finanziamento, perché prive di costi, e poi all’indebitamento nei confronti di diversi stakeholders: rispetto alla prossimità e alla facilità dell’ottenimento del finanziamento, è sembrato naturale pensare che un’impresa ricorra dapprima al debito commerciale, poi al debito bancario e solo infine all’emissione di obbligazioni, in un ordine gerarchico. Ne consegue che se un’impresa (non) ha contratto debiti con fornitori, banche e mercato, la complessità della struttura del suo debito è massima (nulla). L’analisi econometrica successiva è stata indirizzata in tre direzioni. In primis, l’analisi longitudinale dei dati è stata volta ad evidenziare se la struttura finanziaria delle PMI risponde ad un particolare modello teorico, in accordo con le teoria tradizionali di riferimento. In secondo luogo, l’analisi delle determinanti si è allargata allo studio degli aspetti peculiari delle imprese medio-piccole. Infine, si è indagato se, nell’ambito delle imprese di dimensioni minori, si osservano comportamenti omogenei oppure se determinate scelte nelle fonti di finanziamento sono da ricondurre all’esistenza di alcuni vincoli. Quindi, partendo dalla rassegna dei principali riferimenti nella letteratura, costituiti dalla Trade-off theory (Modigliani e Miller, 1963, De Angelo e Masulis, 1980, Miller, 1977), dalla Pecking order theory (Myers 1984, Myers e Majluf, 1984) e dalla Financial growth cycle theory (Berger e Udell, 1998), una prima serie di analisi econometriche è stata rivolta alla verifica empirica delle teorie suddette. Una seconda analisi mira, invece, a capire se il comportamento delle imprese possa essere spiegato anche da altri fattori: il modello del ciclo di vita dell’impresa, mutuato dalle discipline manageriali, così come il contesto italiano e la particolarità del rapporto bancaimpresa, hanno suggerito l’analisi di altre determinanti al ricorso delle diverse fonti di debito. Di conseguenza, si sono usate delle opportune analisi econometriche per evidenziare se la struttura proprietaria e di controllo dell’impresa, il suo livello di complessità organizzativa possano incidere sulla struttura del debito delle imprese. Poi, si è indagato se il massiccio ricorso al debito bancario è spiegato dalle peculiarità del rapporto banca-impresa nel nostro Paese, rintracciabili nei fenomeni tipici del relationship lending e del multiaffidamento. Ancora, si sono verificati i possibili effetti di tale rapporto sulla complessità della struttura del debito delle imprese. Infine, l’analisi della letteratura recente sulla capital structure delle imprese, l’approccio sviluppato da Fazzari Hubbard e Petersen (1988) e Almeida e Campello (2006 , 2007) ha suggerito un ultimo livello di analisi. La presenza di vincoli nelle decisioni di finanziamento, legati essenzialmente alla profittabilità, alla dimensione delle imprese, alle sue opportunità di crescita, e alla reputazione verso l’esterno, secondo la letteratura recente, è cruciale nell’analisi delle differenze sistematiche di comportamento delle imprese. Per di più, all’interno del lavoro di tesi, così come in Almeida e Campello (2007), si è ipotizzato che la propensione agli investimenti possa essere considerata un fattore endogeno rispetto alla struttura del debito delle imprese, non esogeno come la letteratura tradizionale vuole. Per questo motivo, si è proceduto ad un ultimo tipo di analisi econometrica, volta a rilevare possibili differenze significative nel comportamento delle imprese rispetto al ricorso alle fonti di finanziamento a titolo di debito: nel caso in cui esse presentino una dimensione contenuta, una bassa redditività e una scarsa reputazione all’esterno infatti, vi dovrebbe essere un effetto di complementarietà tra fonti interne ed esterne. L’effetto sarebbe tale per cui non sussisterebbe, o per lo meno non sarebbe significativa, una relazione negativa tra fonti interne ed esterne. Complessivamente, i risultati delle analisi empiriche condotte, supportano sia le teorie classiche di riferimento nell’ambito della disciplina della Corporate finance, sia la teoria proposta da Berger e Udell (1998): le variabili che risultano significative nella spiegazione della struttura del debito sono principalmente quelle relative alla dimensione, all’età, al livello e alla qualità delle informazioni disponibili. Inoltre, il ricorso a fonti interne risulta essere la primaria fonte di finanziamento, seguita dal debito. Il ricorso a fonti esterne, in particolare al debito bancario, aumenta quanto più l’impresa cresce, ha una struttura solida e la capacità di fornire delle garanzie, e ha una reputazione forte. La struttura del debito, peraltro, diventa più complessa all’aumentare della dimensione, dell’età e del livello di informazioni disponibili. L’analisi della struttura proprietaria e della componente organizzativa all’interno delle imprese ha evidenziato principalmente che la struttura del debito aumenta di complessità con maggiore probabilità se la proprietà è diffusa, se vi è un management indipendente e se la piramide organizzativa è ben definita. Relativamente al rapporto banca-impresa, i principali risultati mostrano che l’indebitamento bancario sembra essere favorito dai fenomeni di relationship lending e dal multiaffidamento. Tali peculiarità assumono tratti diversi a seconda della fase del ciclo di vita delle imprese della Nona Indagine. Infine, per quanto attiene all’ultima tipologia di analisi condotta, le evidenze empiriche suggeriscono che le piccole e medie imprese possano essere soggette a delle restrizioni che si riflettono nell’ambito delle loro politiche di investimento. Tali vincoli, relativi alla dimensione, ai profitti conseguiti e alla reputazione all’esterno, aiutano a spiegare le scelte di finanziamento delle PMI del campione.

A model for diffusive and displacive phase transitions in steels

Heat treatment of steels is a process of fundamental importance in tailoring the properties of a material to the desired application; developing a model able to describe such process would allow to predict the microstructure obtained from the treatment and the consequent mechanical properties of the material. A steel, during a heat treatment, can undergo two different kinds of phase transitions [p.t.]: diffusive (second order p.t.) and displacive (first order p.t.); in this thesis, an attempt to describe both in a thermodynamically consistent framework is made; a phase field, diffuse interface model accounting for the coupling between thermal, chemical and mechanical effects is developed, and a way to overcome the difficulties arising from the treatment of the non-local effects (gradient terms) is proposed. The governing equations are the balance of linear momentum equation, the Cahn-Hilliard equation and the balance of internal energy equation. The model is completed with a suitable description of the free energy, from which constitutive relations are drawn. The equations are then cast in a variational form and different numerical techniques are used to deal with the principal features of the model: time-dependency, non-linearity and presence of high order spatial derivatives. Simulations are performed using DOLFIN, a C++ library for the automated solution of partial differential equations by means of the finite element method; results are shown for different test-cases. The analysis is reduced to a two dimensional setting, which is simpler than a three dimensional one, but still meaningful.

Collective effects for the LHC injectors: non-ultrarelativistic approaches

The upgrade of the CERN accelerator complex has been planned in order to further increase the LHC performances in exploring new physics frontiers. One of the main limitations to the upgrade is represented by the collective instabilities. These are intensity dependent phenomena triggered by electromagnetic fields excited by the interaction of the beam with its surrounding. These fields are represented via wake fields in time domain or impedances in frequency domain. Impedances are usually studied assuming ultrarelativistic bunches while we mainly explored low and medium energy regimes in the LHC injector chain. In a non-ultrarelativistic framework we carried out a complete study of the impedance structure of the PSB which accelerates proton bunches up to 1.4 GeV. We measured the imaginary part of the impedance which creates betatron tune shift. We introduced a parabolic bunch model which together with dedicated measurements allowed us to point to the resistive wall impedance as the source of one of the main PSB instability. These results are particularly useful for the design of efficient transverse instability dampers. We developed a macroparticle code to study the effect of the space charge on intensity dependent instabilities. Carrying out the analysis of the bunch modes we proved that the damping effects caused by the space charge, which has been modelled with semi-analytical method and using symplectic high order schemes, can increase the bunch intensity threshold. Numerical libraries have been also developed in order to study, via numerical simulations of the bunches, the impedance of the whole CERN accelerator complex. On a different note, the experiment CNGS at CERN, requires high-intensity beams. We calculated the interpolating Hamiltonian of the beam for highly non-linear lattices. These calculations provide the ground for theoretical and numerical studies aiming to improve the CNGS beam extraction from the PS to the SPS.

Seeing and feeling the body

Recognizing one’s body as separate from the external world plays a crucial role in detecting external events, and thus in planning adequate reactions to them. In addition, recognizing one’s body as distinct from others’ bodies allows remapping the experiences of others onto one’s sensory system, providing improved social understanding. In line with these assumptions, two well-known multisensory mechanisms demonstrated modulations of somatosensation when viewing both one’s own and someone else’s body: the Visual Enhancement of Touch (VET) and the Visual Remapping of Touch (VRT) effects. Vision of the body, in the former, and vision of the body being touched, in the latter, enhance tactile processing. The present dissertation investigated the multisensory nature of these mechanisms and their neural bases. Further experiments compared these effects for viewing one’s own body or viewing another person’s body. These experiments showed important differences in multisensory processing for one’s own body, and for other bodies, and also highlighted interactions between VET and VRT effects. The present experimental evidence demonstrated that a multisensory representation of one’s body – underlie by a high order fronto-parietal network - sends rapid modulatory feedback to primary somatosensory cortex, thus functionally enhancing tactile processing. These effects were highly spatially-specific, and depended on current body position. In contrast, vision of another person’s body can drive mental representations able to modulate tactile perception without any spatial constraint. Finally, these modulatory effects seem sometimes to interact with high order information, such as emotional content of a face. This allows one’s somatosensory system to adequately modulate perception of external events on the body surface, as a function of its interaction with the emotional state expressed by another individual.

Preparation of new crystal forms via photochemical, mechanochemical and sol-gel methods

This work of thesis involves various aspects of crystal engineering. Chapter 1 focuses on crystals containing crown ether complexes. Aspects such as the possibility of preparing these materials by non-solution methods, i.e. by direct reaction of the solid components, thermal behavior and also isomorphism and interconversion between hydrates are taken into account. In chapter 2 a study is presented aimed to understanding the relationship between hydrogen bonding capability and shape of the building blocks chosen to construct crystals. The focus is on the control exerted by shape on the organization of sandwich cations such as cobalticinium, decamethylcobalticinium and bisbenzenchromium(I) and on the aggregation of monoanions all containing carboxylic and carboxylate groups, into 0-D, 1-D, 2-D and 3-D networks. Reactions conducted in multi-component molecular assemblies or co-crystals have been recognized as a way to control reactivity in the solid state. The [2+2] photodimerization of olefins is a successful demonstration of how templated solid state synthesis can efficiently synthesize unique materials with remarkable stereoselectivity and under environment-friendly conditions. A demonstration of this synthetic strategy is given in chapter 3. The combination of various types of intermolecular linkages, leading to formation of high order aggregation and crystalline materials or to a random aggregation resulting in an amorphous precipitate, may not go to completeness. In such rare cases an aggregation process intermediate between crystalline and amorphous materials is observed, resulting in the formation of a gel, i.e. a viscoelastic solid-like or liquid-like material. In chapter 4 design of new Low Molecular Weight Gelators is presented. Aspects such as the relationships between molecular structure, crystal packing and gelation properties and the application of this kind of gels as a medium for crystal growth of organic molecules, such as APIs, are also discussed.

Stream sediments analysis for geochemical mapping of Romagna Apennines (Northern Italy): monitoring and management tool of environmental resources at various scales

Geochemical mapping is a valuable tool for the control of territory that can be used not only in the identification of mineral resources and geological, agricultural and forestry studies but also in the monitoring of natural resources by giving solutions to environmental and economic problems. Stream sediments are widely used in the sampling campaigns carried out by the world's governments and research groups for their characteristics of broad representativeness of rocks and soils, for ease of sampling and for the possibility to conduct very detailed sampling In this context, the environmental role of stream sediments provides a good basis for the implementation of environmental management measures, in fact the composition of river sediments is an important factor in understanding the complex dynamics that develop within catchment basins therefore they represent a critical environmental compartment: they can persistently incorporate pollutants after a process of contamination and release into the biosphere if the environmental conditions change. It is essential to determine whether the concentrations of certain elements, in particular heavy metals, can be the result of natural erosion of rocks containing high concentrations of specific elements or are generated as residues of human activities related to a certain study area. This PhD thesis aims to extract from an extensive database on stream sediments of the Romagna rivers the widest spectrum of informations. The study involved low and high order stream in the mountain and hilly area, but also the sediments of the floodplain area, where intensive agriculture is active. The geochemical signals recorded by the stream sediments will be interpreted in order to reconstruct the natural variability related to bedrock and soil contribution, the effects of the river dynamics, the anomalous sites, and with the calculation of background values be able to evaluate their level of degradation and predict the environmental risk.

Weak reasoning argumentative theory. A dialogical approach for the discovery of philosophy in high schools

In the literature on philosophical practices, despite the crucial role that argumentation plays in these activities, no specific argumentative theories have ever been proposed to assist the figure of the facilitator in conducting philosophical dialogue and to enhance student’s critical thinking skills. The dissertation starts from a cognitive perspective that challenges the classic Cartesian notion of rationality by focusing on limits and biases of human reasoning. An argumentative model (WRAT – Weak Reasoning Argumentative Theory) is then outlined in order to respond to the needs of philosophical dialogue. After justifying the claim that this learning activity, among other inductive methodologies, is the most suitable for critical thinking education, I inquired into the specific goal of ‘arguing’ within this context by means of the tools provided by Speech Act Theory: the speaker’s intention is to construct new knowledge by questioning her own and other’s beliefs. The model proposed has been theorized on this assumption, starting from which the goals, and, in turn, the related norms, have been pinpointed. In order to include all the epistemic attitudes required to accomplish the complex task of arguing in philosophical dialogue, I needed to integrate two opposed cognitive accounts, Dual Process Theory and Evolutionary Approach, that, although they provide incompatible descriptions of reasoning, can be integrated to provide a normative account of argumentation. The model, apart from offering a theoretical contribution to argumentation studies, is designed to be applied to the Italian educational system, in particular to classes in technical and professional high schools belonging to the newly created network Inventio. This initiative is one of the outcomes of the research project by the same name, which also includes an original Syllabus, research seminars, a monitoring action and publications focused on introducing philosophy, in the form of workshop activities, into technical and professional schools.

3D probability tomography: theoretical developments and applications to high-resolution geophysical prospecting

The theory of the 3D multipole probability tomography method (3D GPT) to image source poles, dipoles, quadrupoles and octopoles, of a geophysical vector or scalar field dataset is developed. A geophysical dataset is assumed to be the response of an aggregation of poles, dipoles, quadrupoles and octopoles. These physical sources are used to reconstruct without a priori assumptions the most probable position and shape of the true geophysical buried sources, by determining the location of their centres and critical points of their boundaries, as corners, wedges and vertices. This theory, then, is adapted to the geoelectrical, gravity and self potential methods. A few synthetic examples using simple geometries and three field examples are discussed in order to demonstrate the notably enhanced resolution power of the new approach. At first, the application to a field example related to a dipole–dipole geoelectrical survey carried out in the archaeological park of Pompei is presented. The survey was finalised to recognize remains of the ancient Roman urban network including roads, squares and buildings, which were buried under the thick pyroclastic cover fallen during the 79 AD Vesuvius eruption. The revealed anomaly structures are ascribed to wellpreserved remnants of some aligned walls of Roman edifices, buried and partially destroyed by the 79 AD Vesuvius pyroclastic fall. Then, a field example related to a gravity survey carried out in the volcanic area of Mount Etna (Sicily, Italy) is presented, aimed at imaging as accurately as possible the differential mass density structure within the first few km of depth inside the volcanic apparatus. An assemblage of vertical prismatic blocks appears to be the most probable gravity model of the Etna apparatus within the first 5 km of depth below sea level. Finally, an experimental SP dataset collected in the Mt. Somma-Vesuvius volcanic district (Naples, Italy) is elaborated in order to define location and shape of the sources of two SP anomalies of opposite sign detected in the northwestern sector of the surveyed area. The modelled sources are interpreted as the polarization state induced by an intense hydrothermal convective flow mechanism within the volcanic apparatus, from the free surface down to about 3 km of depth b.s.l..

Arbitrary Waveform Multilevel Generator for High Voltage High Frequency Plasma Actuators

This dissertation presents the theory and the conducted activity that lead to the construction of a high voltage high frequency arbitrary waveform voltage generator. The generator has been specifically designed to supply power to a wide range of plasma actuators. The system has been completely designed, manufactured and tested at the Department of Electrical, Electronic and Information Engineering of the University of Bologna. The generator structure is based on the single phase cascaded H-bridge multilevel topology and is comprised of 24 elementary units that are series connected in order to form the typical staircase output voltage waveform of a multilevel converter. The total number of voltage levels that can be produced by the generator is 49. Each level is 600 V making the output peak-to-peak voltage equal to 28.8 kV. The large number of levels provides high resolution with respect to the output voltage having thus the possibility to generate arbitrary waveforms. Maximum frequency of operation is 20 kHz. A study of the relevant literature shows that this is the first time that a cascaded multilevel converter of such dimensions has been constructed. Isolation and control challenges had to be solved for the realization of the system. The biggest problem of the current technology in power supplies for plasma actuators is load matching. Resonant converters are the most used power supplies and are seriously affected by this problem. The manufactured generator completely solves this issue providing consistent voltage output independently of the connected load. This fact is very important when executing tests and during the comparison of the results because all measures should be comparable and not dependent from matching issues. The use of the multilevel converter for power supplying a plasma actuator is a real technological breakthrough that has provided and will continue to provide very significant experimental results.