Synthesis and characterization of temperature- and light-responsive polymers and block copolymers

In summary, thermoresponsive polyacrylamides with various amounts of different photoswitchable side groups, i. e. azobenzene, salicylideneaniline and fulgimide were successfully prepared. As such, in a first step three different chromophores with an amine functionality were synthesized. The synthesis of the stimuli-responsive materials was based on the RAFT polymerization of activated ester acrylates followed by a polymer analogous reaction with different amines. The procedure has been designed to allow the synthesis of well-defined materials with functional groups. All copolymers prepared in this way showed a LCST in aqueous solution. The LCST was in general decreased by increasing the amount of hydrophobic dye incorporated into the thermoresponsive polymer. However, in the case of the fulgimide, the LCST was hardly affected by the chromophore. For azobenzene containing PNIPAM polymers and analogues, higher LCST values were measured after irradiation of the polymer sample solutions with UV-light (Delta LCSTmax = 7.3°C). A reversible light-induced solubility change within a certain temperature range was possible. In contrast to this, irradiated samples of salicylideneaniline containing thermoresponsive copolymers showed an irreversible increase in the LCST (Delta LCSTmax = 13.0°C). Fulgimide chromophores did not influence the LCST of PNIPAM based copolymers after UV-light exposure.rnSimilar to the thermoresponsive polyacrylamides with azobenzene side groups, poly(oligo(ethylene glycol) methyl ether methacrylate) [P(OEGMA)] polymers with azobenzene end groups showed a LCST shift upon UV-irradiation. These polymers were synthesized by RAFT polymerization using a functional chain transfer agent (CTA). For this, PFP-CTA was used as a RAFT-agent for end group functionalization of (thermoresponsive) polymers. In contrast to the statistically arranged copolymers with azobenzene side groups, P(OEGMA) polymers with terminal azobenzene showed a linear increase of the LCST shifts with increasing amount of chromophore (Delta LCSTmax = 4.3°C). Noteworthy, the chemical nature of the end group exhibited a strong influence on the LCST in the case of short thermoresponsive P(OEGMA) polymers.rnThe investigation on temperature- and lightresponsive polymers was transferred onto block copolymers capable to self-assemble into polymeric micelles. Therefore, PEO-b-PNIPAM block copolymers with azobenzene moieties were synthesized successfully. These polymers showed a “smart” behavior in aqueous solution, as the reversible formation and disruption of the micelles could either be controlled by temperature or using light as a stimulus. The usefulness of these materials was demonstrated by encapsulation of a hydrophobic dye in the core of the micelle. Such materials might have a great potential as a model system for several technical or biological applications.rnFinally, double thermoresponsive block copolymers forming micellar structures in a certain temperature range with functional end groups could successfully be synthesized. These “smart materials” based on POEGMA-b-PNIPMAM have been demonstrated to be very promising for a temperature selective immobilization on a protein surface. This might be a suitable concept for further biological applications.rnConcluding, different thermoresponsive copolymers and block copolymers with lightresponsive moieties arranged along the backbone or located at the chain ends were successfully prepared and investigated. By controlling the nature of functional groups and their respective incorporation ratios, the LCST could be dialed in precisely. Further, the LCST of the polymers could be triggered by light. A light-controlled disruption of micellar structures could be shown for functional block copolymers. The importance of end groups of thermoresponsive polymers was demonstrated by a temperature-controlled protein-polymer binding of a terminal biotin-functionalized double thermoresponsive polymer. The synthetic approaches and the material properties presented here should be promising for further research and applications beyond this dissertation.rn

Functionalization of hyperbranched polycarbosilanes - block copolymers and electrochemistry

Polycarbosilanes are a class of polymers at the interface between organic and inorganic chemistry. They are characterized by a high thermal and chemical inertness and high flexibility, especially pronounced for branched structures. Linear polycarbosilanes are well known as precursors for the preparation of SiCx ceramics. Additionally, more sophisticated architectures like dendrimers, hyperbranched polymers or block copolymers have been the subject of research for more than a decade. The scope of this work was to expand the properties and fields of application for polycarbosilane-containing structures. Thus, the work is divided in two major parts. The first part covers the synthesis and characterization of hyperbranched polycarbosilanes containing organometallic moieties. Hyperbranched poly-carbosilanes were synthesized using hydrosilylation of diallylmethylsilane and methyldiundecenylsilane. The degree of branching for polydiallymethylsilane was determined using standard 1H-NMR spectroscopy. The functional building blocks ferrocenyldimethylsilane and diferrocenylmethylsilane were synthesized which contain an isolated ferrocene unit or two ferrocenes bridged by silicon, respectively. Hyperbranched polycarbosilanes functionalized with ferrocenyl moieties were synthesized by modification of preformed polymers or by copolymerization of AB2 carbosilane monomers with AX-type ferrocenylsilanes. Polymers with Mn = 2500-9000g/mol and ferrocene contents of up to 67wt% were obtained. Electrochemical characterization by cyclic voltammetry revealed that polymers functionalized with isolated ferrocene units showed a single reversible oxidation wave, while voltammograms for polymers functionalized with diferrocenyl silane exhibited two well-separated reversible oxidation-reduction waves. This shows that the polymer bound ferrocenes bridged by silicon are electronically communicating and thus oxidation of the first ferrocene shifts the oxidation potential for the adjacent one. The polymers were utilized successfully for the preparation of modified electrodes with persistent and reproducible electrochemical response in organic solvents as well as in aqueous solution. The presented work has proven that ferrocenyl-functionalized hyperbranched polymers exhibit similar electrochemical properties as the analogous dendrimers. In a further approach it was shown that hyperbranched polymers containing organometallic moieties can be synthesized by polymerization of a new ferrocene-containing AB2 monomer - diallylferrocenylsilane. The second part of this work is dedicated to the preparation of core-functional hyperbranched polycarbosilanes. Low molecular weight ambifunctional molecules were synthesized that contain double bonds for the attachment of a polycarbosilane polymer as well as a second functionality available for further reaction and modification. Reactive vinyl groups in the core molecule allow an efficient attachment of hyperbranched polycarbosilane which was proven by MALDI-ToF and GPC. In combination with slow monomer addition techniques molecular weight and polydispersity of the polymers were controlled successfully. Core-functional polymers were characterized by NMR-spectroscopy, MALDI-ToF and GPC. Polymers with polydispersities <2 and molecular weights up to 5300g/mol were obtained. Transformation of the double bonds of the carbosilane was demonstrated with various silanes using hydrosilylation reaction or hydrogenation. Additionally, the core-functionality was varied resulting in polymers with bromo-, phthalimide-, amine- or azide moieties. Thus, a versatile synthetic strategy was developed that allows the synthesis of tailor-made polymers.A promising approach is the application of the polymer building blocks in copolymer synthesis. Bisglycidolization of amine-functional polycarbosilanes produces macro-initiators that are suitable for the multibranching-ring opening polymerization of glycidol. This experiments lead to the first example of hyperbranched-hyperbranched amphiphilic block copolymers, hb-PG-b-hb-PCS. Furthermore, the implementation of copper-catalyzed cycloaddition between azide-functional polycarbosilane and alkyne-functional poly(ethoxyethyl glycidylether) resulted in linear-hyperbranched block copolymers. The facile removal of acetal protecting groups provided convenient access to lin-PG-b-hb-PCS.

Functional silicones and silicone-containing block copolymers

Polysiloxanes can be synthesized and subsequently modified (i) by the attachment of small molecules that change the properties of the silicone in such a way that it becomes more hydrophilic, but under the premise that this does not go together with a loss of the silicone-specific features. This can be done by adding hydrophilic sidechains to a polysiloxane. Polyethers like poly(ethylene glycol) or hyperbranched polyether-polyols are suitable in this regard. In order to assure that the silicone properties retain, these side groups can be attached to only one part of the polysiloxane backbone, which results in a block copolymer that consists of a common polysiloxane and a second block of the modified structure. (ii) Polysiloxanes can be equipped with functional groups that are capable of initializing polymerization of a different monomer (macroinitiator approach). For example, hydroxyl groups are used to initiate the ring opening polymerization of cyclic esters, or ATRP macroinitiators can be synthesized to add a second block via controlled radical polymerization. Stimuli responsive polymers like poly(oligoethylene glycol methacrylate) (POEGMA) can be added via this route to create “smart” siloxane-containing block copolymers that respond to certain stimuli. rnAn important premise for all synthetic routes is to achieve the targeted structure in a process as simple as possible, because facile availability of the material is crucial with regard to industrial applicability of the invented products. rnConcerning characterization of the synthesized macromolecules, emphasize is put on their (temperature dependent) aggregation behavior, which can be investigated by several microscopic and scattering methods, their behavior at the interface between silicone oils and water and their thermal properties.rnrn

Understanding block rotation of strike-slip fault zones: Paleomagnetic and structural approach

This thesis is focused on the paleomagnetic rotation pattern inside the deforming zone of strike-slip faults, and the kinematics and geodynamics describing it. The paleomagnetic investigation carried out along both the LOFZ and the fore-arc sliver (38º-42ºS, southern Chile) revealed an asymmetric rotation pattern. East of the LOFZ and adjacent to it, rotations are up to 170° clockwise (CW) and fade out ~10 km east of fault. West of the LOFZ at 42ºS (Chiloé Island) and around 39°S (Villarrica domain) systematic CCW rotations have been observed, while at 40°-41°S (Ranco-Osorno domain) and adjacent to the LOFZ CW rotations reach up to 136° before evolving to CCW rotations at ~30 km from the fault. These data suggest a directed relation with subduction interface plate coupling. Zones of high coupling yield to a wide deforming zone (~30 km) west of the LOFZ characterized by CW rotations. Low coupling implies a weak LOFZ and a fore-arc dominated by CCW rotations related to NW-sinistral fault kinematics. The rotation pattern is consistent with a quasi-continuous crust kinematics. However, it seems unlikely that the lower crust flux can control block rotation in the upper crust, considering the cold and thick fore-arc crust. I suggest that rotations are consequence of forces applied directly on both the block edges and along the main fault, within the upper crust. Farther south, at the Austral Andes (54°S) I measured the anisotropy of magnetic susceptibility (AMS) of 22 Upper Cretaceous to Upper Eocene sites from the Magallanes fold-thrust belt internal domains. The data document continuous compression from the Early Cretaceous until the Late Oligocene. AMS data also show that the tectonic inversion of Jurassic extensional faults during the Late Cretaceous compressive phase may have controlled the Cenozoic kinematic evolution of the Magallanes fold-thrust belt, yielding slip partitioning.

Synthetic routes toward functional block copolymers and bioconjugates via RAFT polymerization

Synthetic Routes toward Functional Block Copolymers and Bioconjugates via RAFT PolymerizationrnSynthesewege für funktionelle Blockcopolymere und Biohybride über RAFT PolymerisationrnDissertation von Dipl.-Chem. Kerstin T. WissrnIm Rahmen dieser Arbeit wurden effiziente Methoden für die Funktionalisierung beider Polymerkettenenden für Polymer- und Bioanbindung von Polymeren entwickelt, die mittels „Reversible Addition-Fragmentation Chain Transfer“ (RAFT) Polymerisation hergestellt wurden. Zu diesem Zweck wurde ein Dithioester-basiertes Kettentransferagens (CTA) mit einer Aktivestereinheit in der R-Gruppe (Pentafluorphenyl-4-phenylthiocarbonylthio-4-cyanovaleriansäureester, kurz PFP-CTA) synthetisiert und seine Anwendung als universelles Werkzeug für die Funktionalisierung der -Endgruppe demonstriert. Zum Einen wurde gezeigt, wie dieser PFP-CTA als Vorläufer für die Synthese anderer funktioneller CTAs durch einfache Aminolyse des Aktivesters genutzt werden kann und somit den synthetischen Aufwand, der üblicherweise mit der Entwicklung neuer CTAs verbunden ist, reduzieren kann. Zum Anderen konnte der PFP-CTA für die Synthese verschiedener Poly(methacrylate) mit enger Molekulargewichtsverteilung und wohl definierter reaktiver -Endgruppe verwendet werden. Dieses Kettenende konnte dann erfolgreich mit verschiedenen primären Aminen wie Propargylamin, 1-Azido-3-aminopropan und Ethylendiamin oder direkt mit den Amin-Endgruppen verschiedener Peptide umgesetzt werden.rnAus der Reaktion des PFP-CTAs mit Propargylamin wurde ein Alkin-CTA erhalten, der sich als effizientes Werkzeug für die RAFT Polymerisation verschiedener Methacrylate erwiesen hat. Der Einbau der Alkin-Funktion am -Kettenende wurde mittels 1H und 13C NMR Spektroskopie sowie MALDI TOF Massenspektroskopie bestätigt. Als Modelreaktion wurde die Kopplung eines solchen alkin-terminierten Poly(di(ethylenglykol)methylethermethacrylates) (PDEGMEMA) mit azid-terminiertem Poly(tert-butylmethacrylat), das mittels Umsetzung einer Aktivester-Endgruppe erhalten wurde, als kupferkatalysierte Azid-Alkin-Cycloaddition (CuAAC) durchgeführt. Die Aufarbeitung des resultierenden Diblockcopolymers durch Fällen ermöglichte die vollständige Abtrennung des Polymerblocks 1, der im Überschuss eingesetzt wurde. Darüber hinaus blieb nur ein sehr kleiner Anteil (< 2 Gew.-%) nicht umgesetzten Polymerblocks 2, was eine erfolgreiche Polymeranbindung und die Effizienz der Endgruppen-Funktionalisierung ausgehend von der Aktivester--Endgruppe belegt.rnDie direkte Reaktion von stimuli-responsiven Polymeren mit Pentafluorphenyl(PFP)ester-Endgruppen, namentlich PDEGMEMA und Poly(oligo(ethylenglykol)methylethermethacrylat), mit kollagen-ähnlichen Peptiden ergab wohl definierte Polymer-Peptid-Diblockcopolymere und Polymer-Peptid-Polymer-Triblockcopolymer unter nahezu quantitativer Umsetzung der Endgruppen. Alle Produkte konnten vollständig von nicht umgesetztem Überschuss des Homopolymers befreit werden. In Analogie zu natürlichem Kollagen und dem nicht funktionalisierten kollagen-ähnlichen Peptid bilden die PDEGMEMA-basierten, entschützten Hybridcopolymere Trimere mit kollagen-ähnlichen Triple-Helices in kalter wässriger Lösung, was mittels Zirkular-Dichroismus-Spektroskopie (CD) nachgewiesen werden konnte. Temperaturabhängige CD-Spektroskopie, Trübungsmessungen und dynamische Lichtstreuung deuteten darauf hin, dass sie bei höheren Temperaturen doppelt stimuli-responsive Überstrukturen bilden, die mindestens zwei konformative Übergänge beim Aufheizen durchlaufen. Einer dieser Übergänge wird durch den hydrophoben Kollaps des Polymerblocks induziert, der andere durch Entfalten der kollagen-ähnlichen Triple-Helices.rnAls Ausweitung dieser synthetischen Strategie wurde homotelecheles PDEGMEMA mit zwei PFP-Esterendgruppen dargestellt, wozu der PFP-CTA für die Funktionalisierung der -Endgruppe und die radikalische Substitution des Dithioesters durch Behandlung mit einem Überschuss eines funktionellen AIBN-Derivates für die Funktionalisierung der -Endgruppe ausgenutzt wurde. Die Umsetzung der beiden reaktiven Kettenenden mit dem N-Terminus eines Peptidblocks ergab ein Peptid-Polymer-Peptid Triblockcopolymer.rnSchließlich konnten die anorganisch-organischen Hybridmaterialien PMSSQ-Poly(2,2-diethoxyethylacrylat) (PMSSQ-PDEEA) und PMSSQ-Poly(1,3-dioxolan-2-ylmethylacrylat) (PMSSQ-PDMA) für die Herstellung robuster, peptid-reaktiver Oberflächen durch Spin Coaten und thermisch induziertes Vernetzen angewendet werden. Nach saurem Entschützen der Acetalgruppen in diesen Filmen konnten die resultierenden Aldehydgruppen durch einfaches Eintauchen in eine Lösung mit einer Auswahl von Aminen und Hydroxylaminen umgesetzt werden, wodurch die Oberflächenhydrophilie modifiziert werden konnte. Darüber hinaus konnten auf Basis der unterschiedlichen Stabilität der zwei hier verglichenen Acetalgruppen Entschützungsprotokolle für die exklusive Entschützung der Diethylacetale in PMSSQ-PDEEA und deren Umsetzung ohne Entschützung der zyklischen Ethylenacetale in PMSSQ-PDMA entwickelt werden, die die Herstellung multifunktioneller Oberflächenbeschichtungen z.B. für die Proteinimmobilisierung ermöglichen.

Life cycle assessment in construction field: A life cycle cost analysis of reinforcement concrete bridge

The present work is included in the context of the assessment of sustainability in the construction field and is aimed at estimating and analyzing life cycle cost of the existing reinforced concrete bridge “Viadotto delle Capre” during its entire life. This was accomplished by a comprehensive data collection and results evaluation. In detail, the economic analysis of the project is performed. The work has investigated possible design alternatives for maintenance/rehabilitation and end-of-life operations, when structural, functional, economic and also environmental requirements have to be fulfilled. In detail, the economic impact of different design options for the given reinforced concrete bridge have been assessed, whereupon the most economically, structurally and environmentally efficient scenario was chosen. The Integrated Life-Cycle Analysis procedure and Environmental Impact Assessment were also discussed in this work. The scope of this thesis is to illustrate that Life Cycle Cost analysis as part of Life Cycle Assessment approach could be effectively used to drive the design and management strategy of new and existing structures. The final objective of this contribution is to show how an economic analysis can influence decision-making in the definition of the most sustainable design alternatives. The designers can monitor the economic impact of different design strategies in order to identify the most appropriate option.

Poly(lactide): from hyperbranched copolyesters to new block copolymers with functional methacrylates

The prologue of this thesis (Chapter 1.0) gives a general overview on lactone based poly(ester) chemistry with a focus on advanced synthetic strategies for ring-opening polymerization, including the emerging field of organo catalysis. This section is followed by a presentation of the state-of the art regarding the two central fields of the thesis: (i) polyfunctional and branched poly(ester)s in Chapter 1.1 as well as (ii) the development of new poly(ester) based block copolymers with functional methacrylates (Chapter 1.2). Chapter 2 deals with the synthesis of new, non-linear poly(ester) structures. In Chapter 2.1, the synthesis of poly(lactide)-based multiarm stars, prepared via a grafting-from method, is described. The hyperbranched poly(ether)-poly(ol) poly(glycerol) is employed as a hydrophilic core molecule. The resulting star block copolymers exhibit potential as phase transfer agents and can stabilize hydrophilic dyes in a hydrophobic environment. In Chapter 2.2, this approach is expanded to poly(glycolide) multiarm star polymers. The problem of the poor solubility of linear poly(glycolide)s in common organic solvents combined with an improvement of the thermal properties has been approached by the reduction of the total chain length. In Chapter 2.3, the first successful synthesis of hyperbranched poly(lactide)s is presented. The ring-opening, multibranching copolymerization of lactide with the “inimer” 5HDON (a hydroxyl-functional lactone monomer) was carefully examined. Besides a precise molecular characterization involving the determination of the degree of branching, we were able to put forward a reaction model for the formation of branching during polymerization. Several innovative approaches to amphiphilic poly(ester)/poly(methacrylate)-based block copolymers are presented in the third part of the thesis (Chapter 3). Block copolymer build-up especially relies on the combination of ring-opening and living radical polymerization. Atom transfer radical polymerization has been successfully combined with lactide ring-opening, using a “double headed” initiator. This strategy allowed for the realization of poly(lactide)-block-poly(2-hydroxyethyl methacrylate) copolymers, which represent promising materials for tissue engineering scaffolds with anti-fouling properties (Chapter 3.1). The two-step/one-pot approach forgoes the use of protecting groups for HEMA by a careful selection of the reaction conditions. A series of potentially biocompatible and partially biodegradable homo- and block copolymers is described in Chapter 3.2. In order to create a block copolymer with a comparably strong hydrophilic character, a new acetal-protected glycerol monomethacrylate monomer (cis-1,3- benzylidene glycerol methacrylate/BGMA) was designed. The hydrophobic poly(BGMA) could be readily transformed into the hydrophilic and water-soluble poly(iso-glycerol methacrylate) (PIGMA) by mild acidic hydrolysis. Block copolymers of PIGMA and poly(lactide) exhibited interesting spherical aggregates in aqueous environment which could be significantly influenced by variation of the poly(lactide)s stereo-structure. In Chapter 3.3, pH-sensitive poly(ethylene glycol)-b-PBGMA copolymers are described. At slightly acidic pH values (pH 4/37°C), they decompose due to a polarity change of the BGMA block caused by progressing acetal cleavage. This stimuli-responsive behavior renders the system highly attractive for the targeted delivery of anti-cancer drugs. In Chapter 3.4, which was realized in cooperation, the concept of biocompatible, amphiphilic poly(lactide) based polymer drug conjugates, was pursued. This was accomplished in the form of fluorescently labeled poly(HPMA)-b-poly(lactide) copolymers. Fluorescence correlation spectroscopy (FCS) of partially biodegradable block copolymer aggregates exhibited fast cellular uptake by human cervix adenocarcinoma cells without showing toxic effects in the examined concentration range (Chapter 4.1). The current state of further projects which will be pursued in future studies is addressed in Chapter 4. This covers the synthesis of biocompatible star block copolymers (Chapter 4.2) and the development of new methacrylate monomers for biomedical applications (Chapters 4.3 and 4.4). Finally, the further investigation of hydroxyl-functional lactones and carbonates which are promising candidates for the synthesis of new hydrophilic linear or hyperbranched biopolymers, is addressed in Chapter 4.5.

Computer simulation of rod-coil block copolymers and tetrapod,polymer mixtures

In this thesis I present a new coarse-grained model suitable to investigate the phase behavior of rod-coil block copolymers on mesoscopic length scales. In this model the rods are represented by hard spherocylinders, whereas the coil block consists of interconnected beads. The interactions between the constituents are based on local densities. This facilitates an efficient Monte-Carlo sampling of the phase space. I verify the applicability of the model and the simulation approach by means of several examples. I treat pure rod systems and mixtures of rod and coil polymers. Then I append coils to the rods and investigate the role of the different model parameters. Furthermore, I compare different implementations of the model. I prove the capability of the rod-coil block copolymers in our model to exhibit typical micro-phase separated configurations as well as extraordinary phases, such as the wavy lamellar state, percolating structuresrnand clusters. Additionally, I demonstrate the metastability of the observed zigzag phase in our model. A central point of this thesis is the examination of the phase behavior of the rod-coil block copolymers in dependence of different chain lengths and interaction strengths between rods and coil. The observations of these studies are summarized in a phase diagram for rod-coil block copolymers. Furthermore, I validate a stabilization of the smectic phase with increasing coil fraction.rnIn the second part of this work I present a side project in which I derive a model permitting the simulation of tetrapods with and without grafted semiconducting block copolymers. The effect of these polymers is added in an implicit manner by effective interactions between the tetrapods. While the depletion interaction is described in an approximate manner within the Asakura-Oosawa model, the free energy penalty for the brush compression is calculated within the Alexander-de Gennes model. Recent experiments with CdSe tetrapods show that grafted tetrapods are clearly much better dispersed in the polymer matrix than bare tetrapods. My simulations confirm that bare tetrapods tend to aggregate in the matrix of excess polymers, while clustering is significantly reduced after grafting polymer chains to the tetrapods. Finally, I propose a possible extension enabling the simulation of a system with fluctuating volume and demonstrate its basic functionality. This study is originated in a cooperation with an experimental group with the goal to analyze the morphology of these systems in order to find the ideal morphology for hybrid solar cells.

Coded slotted aloha with multipacket reception over block fading channels (for satellite networks)

Random access (RA) protocols are normally used in a satellite networks for initial terminal access and are particularly effective since no coordination is required. On the other hand, contention resolution diversity slotted Aloha (CRDSA), irregular repetition slotted Aloha (IRSA) and coded slotted Aloha (CSA) has shown to be more efficient than classic RA schemes as slotted Aloha, and can be exploited also when short packets transmissions are done over a shared medium. In particular, they relies on burst repetition and on successive interference cancellation (SIC) applied at the receiver. The SIC process can be well described using a bipartite graph representation and exploiting tools used for analyze iterative decoding. The scope of my Master Thesis has been to described the performance of such RA protocols when the Rayleigh fading is taken into account. In this context, each user has the ability to correctly decode a packet also in presence of collision and when SIC is considered this may result in multi-packet reception. Analysis of the SIC procedure under Rayleigh fading has been analytically derived for the asymptotic case (infinite frame length), helping the analysis of both throughput and packet loss rates. An upper bound of the achievable performance has been analytically obtained. It can be show that in particular channel conditions the throughput of the system can be greater than one packets per slot which is the theoretical limit of the Collision Channel case.

Interaction between axial force, shear and bending moment in reinforced concrete elements

Il collasso di diverse colonne, caratterizzate da danneggiamenti simili, quali ampie fessure fortemente inclinate ad entrambe le estremità dell’elemento, lo schiacciamento del calcestruzzo e l’instabilità dei ferri longitudinali, ha portato ad interrogarsi riguardo gli effetti dell’interazione tra lo sforzo normale, il taglio ed il momento flettente. Lo studio è iniziato con una ricerca bibliografica che ha evidenziato una sostanziale carenza nella trattazione dell’argomento. Il problema è stato approcciato attraverso una ricerca di formule della scienza delle costruzioni, allo scopo di mettere in relazione lo sforzo assiale, il taglio ed il momento; la ricerca si è principalmente concentrata sulla teoria di Mohr. In un primo momento è stata considerata l’interazione tra solo due componenti di sollecitazione: sforzo assiale e taglio. L’analisi ha condotto alla costruzione di un dominio elastico di taglio e sforzo assiale che, confrontato con il dominio della Modified Compression Field Theory, trovata tramite ricerca bibliografica, ha permesso di concludere che i risultati sono assolutamente paragonabili. L’analisi si è poi orientata verso l’interazione tra sforzo assiale, taglio e momento flettente. Imponendo due criteri di rottura, il raggiungimento della resistenza a trazione ed a compressione del calcestruzzo, inserendo le componenti di sollecitazione tramite le formule di Navier e Jourawsky, sono state definite due formule che mettono in relazione le tre azioni e che, implementate nel software Matlab, hanno permesso la costruzione di un dominio tridimensionale. In questo caso non è stato possibile confrontare i risultati, non avendo la ricerca bibliografica mostrato niente di paragonabile. Lo studio si è poi concentrato sullo sviluppo di una procedura che tenta di analizzare il comportamento di una sezione sottoposta a sforzo normale, taglio e momento: è stato sviluppato un modello a fibre della sezione nel tentativo di condurre un calcolo non lineare, corrispondente ad una sequenza di analisi lineari. La procedura è stata applicata a casi reali di crollo, confermando l’avvenimento dei collassi.