TY - CHAP A1 - Müller, Matthias A1 - Ludwig, Horst-Michael ED - Ludwig, Horst-Michael T1 - Sulfatangriff magnesiumhaltiger Wässer auf Mörtel unterschiedlicher Zusammensetzung T2 - Tagungsband 18. Ibausil - 18. Internationale Baustofftagung : 12.-15. September 2012, Weimar N2 - Die besondere Aggressivität von hochkonzentrierten Magnesiumsulfatlösungen bei Einwirkung auf Beton ist seit vielen Jahrzehnten bekannt. Neben dem Sulfat greift zusätzlich auch das Magnesium den Zementstein an. Bei hohen Lösungskonzentrationen nimmt der Magnesiumangriff gegenüber dem Sulfatangriff sogar eine dominante Rolle ein. Magnesiumgehalte unter 300 mg/l im Grundwasser gelten allerdings bislang als nicht angreifend. In Auslagerungs- und Laborversuchen wurde jedoch festgestellt, dass auch bei praxisrelevanten Magnesium- (<300 mg/l) und Sulfatgehalten (1.500 mg/l) das Magnesium zu einer deutlichen Verschärfung des Sulfatangriffes bei niedrigen Temperaturen führte. Diese Verschärfung trat bei Mörteln und Betonen auf, bei denen der erhöhte Sulfatwiderstand durch einen teilweisen Zementersatz mit 20 % Flugasche zu einem CEM II/A-LL erreicht werden sollte, gemäß der Flugascheregelung nach EN 206-1/DIN 1045-2. Bei einem teilweisen Zementersatz durch 30 % Flugasche konnte auch in magnesiumhaltigen Sulfatlösungen eine deutliche Verbesserung des Sulfatwiderstandes erreicht werden. Mörtel mit HS-Zement als Bindemittel wiesen keinerlei Schäden auf. Schadensverursachend war eine Kombination mehrerer Einflüsse. Zum einen wurde der Sulfatwiderstand des Zement-Flugasche-Systems durch die unzureichende Reaktion der Flugasche infolge der niedrigen Lagerungstemperatur geschwächt. Zum anderen konnte durch die Einwirkung des Magnesiums in der Randzone vermutlich eine Destabilisierung der C-S-H-Phasen erfolgen, wodurch die Thaumasitbildung an dieser Stelle forciert wurde. Zusätzlich wurde durch den Portlanditverbrauch und die pH-Wert-Absenkung in der Randzone die puzzolanische Reaktion der Flugasche behindert. KW - Beton KW - Beton KW - Sulfatangriff KW - Flugasche KW - Magnesiumsulfat KW - Thaumasit Y1 - 2012 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:gbv:wim2-20240507-48732 SN - 978-3-00-034075-8 (Bauhaus-Universitätsverlag Weimar) ER - TY - CHAP A1 - Müller, Matthias A1 - Ehrhardt, Dirk A1 - Ludwig, Horst-Michael ED - Ludwig, Horst-Michael T1 - Optimierung der Nachbehandlung von Waschbetonoberflächen T2 - Tagungsband 18. Ibausil - 18. Internationale Baustofftagung : 12.-15. September 2012, Weimar N2 - Der Nachbehandlung eines Fahrbahndeckenbetons kommt zum Erzielen eines hohen Frost-Tausalz-Widerstandes der fertigen Betondecke eine besondere Bedeutung zu. Bei der Waschbetonbauweise erfolgt die Nachbehandlung in mehreren Schritten. Eine erste Nachbehandlung gewährleistet den Verdunstungsschutz des Betons bis zum Zeitpunkt des Ausbürstens des verzögerten Oberflächenmörtels. Daran schließt sich die zweite Nachbehandlung an, in der Regel durch Aufsprühen eines flüssigen Nachbehandlungsmittels. Der zweite Nachbehandlungsschritt ist entscheidend für den Frost-Tausalz-Widerstand der Betondecke. Im Rahmen eines Forschungsprojektes wurde daher untersucht, inwiefern durch eine Optimierung der zweiten Nachbehandlung der Frost-Tausalz-Widerstand von Waschbetonoberflächen erhöht werden kann, insbesondere bei Verwendung hüttensandhaltiger Zemente. Schon durch eine einmalige Nassnachbehandlung wurde eine deutlich höherer Widerstand der Waschbetons gegen Frost-Tausalz-Angriff erzielt. KW - Beton KW - Straßenbeton KW - Waschbeton KW - Nachbehandlung KW - Frost-Tausalz-Widerstand Y1 - 2012 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:gbv:wim2-20240226-48722 SN - 978-3-00-034075-8 ER - TY - JFULL ED - Engell, Lorenz ED - Siegert, Bernhard T1 - Schwerpunkt Kollektiv N2 - Die neuere und höchst produktive Konjunktur des »Kollektiv«-Begriffs in Soziologie und Kulturtheorie, wie sie sich insbesondere durch die Ent-faltung der Akteur-Netzwerk-Theorie herausgebildet hat, ist zunächst durch vier miteinander zusammenhängende Eigentümlichkeiten gekennzeichnet. Erstens bezeichnet das »Kollektiv« in diesem Sinne vor allem anderen eine Ansammlung von Entitäten zu einem als Ganzem operativen, möglicherweise sogar handlungs- und reflexionsfähigen Komplex. Die Operationen werden dabei erstens im »Kollektiv« und durch das »Kollektiv« ausgeführt, gleichzeitig jedoch sind sie es, die das »Kollektiv« überhaupt erst aufspannen und relationieren und so zusammenhalten und reproduzieren bzw. variieren. Das Besondere daran ist zweitens – und das unterscheidet den »Kollektiv«-Begriff etwa von demjenigen des Systems –, dass es keine Subsumption der beteiligten Entitäten unter das kollektive Gebilde gibt. Die Operationsfähigkeit und der Zusammenschluss führen weder zu einem Aufgehen des Einzelnen im Ganzen, noch zerfällt im Rückfall das Ganze in eine bloße Gesamtheit aufsummierbarer Teile und Effekte. Kurz: Das »Kollektiv« kann nicht über die Beziehung von Ganzem und Teil definiert und schon gar nicht nach einer dieser beiden Seiten hin aufgelöst werden. Drittens, und das ist der vermutlich plakativste Zug des neuen »Kollektiv«-Begriffs, umfasst das »Kollektiv« Entitäten völlig heterogener Art, genauer: Es bringt solche Gegebenheiten zusammen, die nach klassischer ontologischer Tradition verschiedenen Seinsbezirken zugerechnet worden wären. Das sind vor allem die berühmten menschlichen und nichtmenschlichen Akteure Bruno Latours, das sind also Personen und Artefakte, Kultur- und Naturdinge, Intelligibles und Sensibles, Reflexives und Irreflexives, Technisches und Ästhetisches, Bilder und Objekte oder sogar Materielles und Immaterielles wie Geister, Götter und Ahnen, so bei Descola oder Gell. Und viertens schließlich ist der »Kollektiv«-Begriff speziell ein Kontrastbegriff , der innerhalb der »neuen Soziologie« der Akteur-Netzwerk-Theorie an die Stelle des Gesellschaftsbegriff s treten soll, eben um dessen humanozentrische Prägung einerseits und seine subsumptive, generalisierende und anti-partikulare Tradition andererseits abzustreifen. KW - Medienwissenschaft KW - Kulturwissenschaft Y1 - 2012 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:gbv:wim2-20240507-48485 SN - 2366-0767 N1 - Lizenz CC-BY-NC-SA 3.0 VL - 2012 IS - 3.2012, Heft 2 PB - Felix Meiner Verlag CY - Hamburg ER - TY - JFULL ED - Engell, Lorenz ED - Siegert, Bernhard T1 - Schwerpunkt Entwerfen N2 - Entwerfen ist ein äusserst unscharfer Begriff. Mit ihm kann je nach Kontext ebenso Zeichnen, Planen, Modellieren, Projektieren oder Darstellen gemeint sein wie Erfi nden, Entwickeln, Konzipieren, Komponieren und ähnliches. Wenn Architekten vom Entwurf reden, verwenden sie das Wort meist in einer Bedeutung, die auf den kunsttheoretischen Diskurs zurückgeht, der im Florenz des 16. Jahrhunderts entstanden ist: Entwurf als disegno. Dementsprechend konnte Entwerfen in der kunsthermeneutischen Rezeption schließlich mit dem ›künstlerischen Schaff ensprozess‹ selbst synonym werden. Im Entwerfen meint man der geistigen Vermögen und Prozesse im künstlerischen Subjekt habhaft zu werden. An diese Tradition soll hier bewusst nicht angeknüpft werden. Um das Entwerfen als Kulturtechnik in seiner historischen Bedingtheit zu beschreiben, muss es aus dem anthropozentrischen Ursprung herausgerückt werden, an den es der florentinische kunsttheoretische Diskurs versetzt hat. Statt das Entwerfen als fundamentalen Akt künstlerischen Schaff ens zu begreifen und als anthropologische Konstante der Geschichte zu entziehen, wäre eben diese Konzeption als historisches Resultat von diskursiven, technischen und institutionellen Praktiken zu befragen. KW - Medienwissenschaft KW - Kulturwissenschaft Y1 - 2012 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:gbv:wim2-20240507-48473 SN - 2366-0767 N1 - Lizenz CC-BY-NC-SA 3.0 VL - 2012 IS - 3.2012, Heft 1 PB - Felix Meiner Verlag CY - Hamburg ER - TY - JOUR A1 - Talebi, Hossein A1 - Zi, Goangseup A1 - Silani, Mohammad A1 - Samaniego, Esteban A1 - Rabczuk, Timon T1 - A simple circular cell method for multilevel finite element analysis JF - Journal of Applied Mathematics N2 - A simple multiscale analysis framework for heterogeneous solids based on a computational homogenization technique is presented. The macroscopic strain is linked kinematically to the boundary displacement of a circular or spherical representative volume which contains the microscopic information of the material. The macroscopic stress is obtained from the energy principle between the macroscopic scale and the microscopic scale. This new method is applied to several standard examples to show its accuracy and consistency of the method proposed. KW - Finite-Elemente-Methode KW - Feststoff Y1 - 2012 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:gbv:wim2-20170426-31639 ER - TY - JOUR A1 - Hildebrand, Jörg A1 - Hecht, Kerstin A1 - Bliedtner, Jens A1 - Müller, Hartmut T1 - Advanced Analysis of Laser Beam Polishing of Quartz Glass Surfaces JF - Physics Procedia N2 - The laser beam is a small, flexible and fast polishing tool. With laser radiation it is possible to finish many outlines or geometries on quartz glass surfaces in the shortest possible time. It’s a fact that the temperature developing while polishing determines the reachable surface smoothing and, as a negative result, causes material tensions. To find out which parameters are important for the laser polishing process and the surface roughness respectively and to estimate material tensions, temperature simulations and extensive polishing experiments took place. During these experiments starting and machining parameters were changed and temperatures were measured contact-free. The accuracy of thermal and mechanical simulation was improved in the case of advanced FE-analysis. KW - Laser KW - Berührungslose Messung KW - Polieren KW - Empfindlichkeit KW - Quarzglas KW - laser; contactless measurement; quartz glass; polishing; temperature; residual stress; simulation; sensitivity Y1 - 2012 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:gbv:wim2-20170418-31372 UR - http://www.sciencedirect.com/science/article/pii/S1875389212025667 SP - 277 EP - 285 ER - TY - JOUR A1 - Aguinaga, José Guillermo De T1 - Error in prediction due to data type availability in a coupled hydro-mechanical model JF - Electronic Journal of Geotechnical Engineering N2 - Different types of data provide different type of information. The present research analyzes the error on prediction obtained under different data type availability for calibration. The contribution of different measurement types to model calibration and prognosis are evaluated. A coupled 2D hydro-mechanical model of a water retaining dam is taken as an example. Here, the mean effective stress in the porous skeleton is reduced due to an increase in pore water pressure under drawdown conditions. Relevant model parameters are identified by scaled sensitivities. Then, Particle Swarm Optimization is applied to determine the optimal parameter values and finally, the error in prognosis is determined. We compare the predictions of the optimized models with results from a forward run of the reference model to obtain the actual prediction errors. The analyses presented here were performed calibrating the hydro-mechanical model to 31 data sets of 100 observations of varying data types. The prognosis results improve when using diversified information for calibration. However, when using several types of information, the number of observations has to be increased to be able to cover a representative part of the model domain. For an analysis with constant number of observations, a compromise between data type availability and domain coverage proves to be the best solution. Which type of calibration information contributes to the best prognoses could not be determined in advance. The error in model prognosis does not depend on the error in calibration, but on the parameter error, which unfortunately cannot be determined in inverse problems since we do not know its real value. The best prognoses were obtained independent of calibration fit. However, excellent calibration fits led to an increase in prognosis error variation. In the case of excellent fits; parameters' values came near the limits of reasonable physical values more often. To improve the prognoses reliability, the expected value of the parameters should be considered as prior information on the optimization algorithm. KW - Sensitivitätsanalyse KW - Damm KW - Embankment, sensitivity analysis, parameter identification, Particle Swarm Optimization KW - Fehlerabschätzung Y1 - 2012 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:gbv:wim2-20170413-31170 UR - https://www.scopus.com/inward/record.uri?eid=2-s2.0-84868020397&partnerID=40&md5=72c87bb112839303c1ef9a4afa8c6421 SP - 2459 EP - 2471 ER - TY - CHAP A1 - Wudtke, Idna ED - Gürlebeck, Klaus ED - Lahmer, Tom ED - Werner, Frank T1 - CONSTITUTIVE MODELING OF CRYSTALLINE MATERIALS WITH TEXTURE CHARACTERISTICS T2 - Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar N2 - The analysis of the response of complex structural systems requires the description of the material constitutive relations by means of an appropriate material model. The level of abstraction of such model may strongly affect the quality of the prognosis of the whole structure. In context to this fact, it is necessary to describe the material in a convenient sense as exact but as simple as possible. All material phenomena of crystalline materials e.g. steel, affecting the behavior of the structure, rely on physical effects which are interacting over spatial scales from subatomic to macroscopic range. Nevertheless, if the material is microscopically heterogenic, it might be appropriate to use phenomenological models for the purpose of civil engineering. Although constantly applied, these models are insufficient for steel materials with microscopic characteristics such as texture, typically occurring in hot rolled steel members or heat affected zones of welded joints. Hence, texture is manifested in crystalline materials as a regular crystallographic structure and crystallite orientation, influencing macroscopic material properties. The analysis of structural response of material with texture (e.g. rolled steel or heat affected zone of a welded joint) obliges the extension of the phenomenological material description of macroscopic scale by means of microscopic information. This paper introduces an enrichment approach for material models based on a hierarchical multiscale methodology. This has been done by describing the grain texture on a mesoscopic scale and coupling it with macroscopic constitutive relations by means of homogenization. Due to a variety of available homogenization methods, the question of an assessment of coupling quality arises. The applicability of the method and the effect of the coupling method on the reliability of the response are presented on an example. KW - Angewandte Informatik KW - Angewandte Mathematik KW - Computerunterstütztes Verfahren Y1 - 2012 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:gbv:wim2-20170314-27910 UR - http://euklid.bauing.uni-weimar.de/ikm2012 SN - 1611-4086 ER - TY - CHAP A1 - Musial, Michal A1 - Kamiński, Mieczysław A1 - Ubysz, Andrzej ED - Gürlebeck, Klaus ED - Lahmer, Tom ED - Werner, Frank T1 - DISCRETE CRACK MODEL OF BORCZ FOR CALCULATING THE DEFLECTIONS OF BENDING REINFORCED CONCRETE BEAM T2 - Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar N2 - In the design of the reinforced concrete beams loaded by the bending moment, it is assumed that the structure can be used at a level of load, that there are local discontinuities - cracks. Designing the element demands checking two limit states of construction, load capacity and usability. Limit states usability include also the deflection of the element. Deflections in the reinforced concrete beams with cracks are based on actual rigidity of the element. After cracking there is a local change in rigidity of the beam. The rigidity is variable in the element’s length and due to the heterogeneous structure of concrete, it is not possible to clearly describe those changes. Most standards of testing methods tend to simplify the calculations and take the average value of the beam’s rigidity on its entire length. The rigidity depends on the level of the maximal load of the beam. Experimental researches verify the value by inserting the coefficients into the formulas used in the theory of elasticity. The researches describe the changes in rigidity in the beam’s length more precisely. The authors take into consideration the change of rigidity, depending on the level of maximum load (continuum models), or localize the changes in rigidity in the area of the cracks (discrete models). This paper presents one of the discrete models. It is distinguished by the fact that the left side of the differential equation, that depends on the rigidity, is constant, and all effects associated with the scratches are taken as the external load and placed on the right side of the equation. This allows to generalize the description. The paper presents a particular integral of the differential equation, which allow analyzing the displacement and vibration for different rigidity of the silo’s walls, the flow rate and type of the flowing material. KW - Angewandte Informatik KW - Angewandte Mathematik KW - Computerunterstütztes Verfahren Y1 - 2012 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:gbv:wim2-20170314-27907 UR - http://euklid.bauing.uni-weimar.de/ikm2012 SN - 1611-4086 ER - TY - CHAP A1 - Musial, Michal A1 - Ubysz, Andrzej A1 - Ulatowski, Piotr ED - Gürlebeck, Klaus ED - Lahmer, Tom ED - Werner, Frank T1 - MODEL DESCRIBING STATIC AND DYNAMIC DISPLACEMENTS OF SILOS WALL DURING THE FLOW OF LOOSE MATERIAL T2 - Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar N2 - Correct evaluation of wall displacements is a key matter when designing silos. This issue is important from both the standpoint of design engineer (load-bearing capacity of structures) and end-consumer (durability of structures). Commonplace methods of silo design mainly focus on satisfying limit states of load-bearing capacity. Current standards fail to specify methods of dynamic displacements analysis. Measurements of stressacting on silo walls prove that the actual stress is sum of static and dynamic stresses. Janssen came up with differential equation describing state of static equilibrium in cross-section of a silo. By solving the equation static stress of granular solid on silo walls can be determined. Equations of motion were determined from equilibrium equations of feature objects. General solution, describing dynamic stresses was presented as parametric model. This paper presents particular integrals of differential equation, which enable analysing displacements and vibrations for different rigidities of silo walls, types of granular solid and its flow rate. KW - Angewandte Informatik KW - Angewandte Mathematik KW - Computerunterstütztes Verfahren Y1 - 2012 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:gbv:wim2-20170314-27896 UR - http://euklid.bauing.uni-weimar.de/ikm2012 SN - 1611-4086 ER - TY - CHAP A1 - Suzuki, Osamu A1 - Lawrynowicz, Julian A1 - Nouno, Kiyoharu A1 - Nagayama, Daiki ED - Gürlebeck, Klaus ED - Lahmer, Tom ED - Werner, Frank T1 - BINARY AND TERNARY CLIFFORD ANALYSIS ON NONION ALGEBRA AND SU(3) T2 - Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar N2 - A concept of non-commutative Galois extension is introduced and binary and ternary extensions are chosen. Non-commutative Galois extensions of Nonion algebra and su(3) are constructed. Then ternary and binary Clifford analysis are introduced for non-commutative Galois extensions and the corresponding Dirac operators are associated. KW - Angewandte Informatik KW - Angewandte Mathematik KW - Computerunterstütztes Verfahren Y1 - 2012 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:gbv:wim2-20170314-27880 UR - http://euklid.bauing.uni-weimar.de/ikm2012 SN - 1611-4086 ER - TY - CHAP A1 - Stutz, Henning A1 - Wuttke, Frank ED - Gürlebeck, Klaus ED - Lahmer, Tom ED - Werner, Frank T1 - EVALUATION OF SOIL-STRUCTURE INTERACTION MODELS USING DIFFERENT MODEL-ROBUSTNESS APPROACHES T2 - Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar N2 - The aim of this study is to show an application of model robustness measures for soilstructure interaction (henceforth written as SSI) models. Model robustness defines a measure for the ability of a model to provide useful model answers for input parameters which typically have a wide range in geotechnical engineering. The calculation of SSI is a major problem in geotechnical engineering. Several different models exist for the estimation of SSI. These can be separated into analytical, semi-analytical and numerical methods. This paper focuses on the numerical models of SSI specific macro-element type models and more advanced finite element method models using contact description as continuum or interface elements. A brief description of the models used is given in the paper. Following this description, the applied SSI problem is introduced. The observed event is a static loaded shallow foundation with an inclined load. The different partial models to consider the SSI effects are assessed using different robustness measures during numerical application. The paper shows the investigation of the capability to use these measures for the assessment of the model quality of SSI partial models. A variance based robustness and a mathematical robustness approaches are applied. These different robustness measures are used in a framework which allows also the investigation of computational time consuming models. Finally the result shows that the concept of using robustness approaches combined with other model–quality indicators (e.g. model sensitivity or model reliability) can lead to unique model–quality assessment for SSI models. KW - Angewandte Informatik KW - Angewandte Mathematik KW - Computerunterstütztes Verfahren Y1 - 2012 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:gbv:wim2-20170314-27878 UR - http://euklid.bauing.uni-weimar.de/ikm2012 SN - 1611-4086 ER - TY - CHAP A1 - Simsek, Yilmaz ED - Gürlebeck, Klaus ED - Lahmer, Tom ED - Werner, Frank T1 - ON INTERPOLATION FUNCTION OF THE BERNSTEIN POLYNOMIALS T2 - Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar N2 - The Bernstein polynomials are used for important applications in many branches of Mathematics and the other sciences, for instance, approximation theory, probability theory, statistic theory, num- ber theory, the solution of the di¤erential equations, numerical analysis, constructing Bezier curves, q-calculus, operator theory and applications in computer graphics. The Bernstein polynomials are used to construct Bezier curves. Bezier was an engineer with the Renault car company and set out in the early 1960’s to develop a curve formulation which would lend itself to shape design. Engineers may …nd it most understandable to think of Bezier curves in terms of the center of mass of a set of point masses. Therefore, in this paper, we study on generating functions and functional equations for these polynomials. By applying these functions, we investigate interpolation function and many properties of these polynomials. KW - Angewandte Informatik KW - Angewandte Mathematik KW - Computerunterstütztes Verfahren Y1 - 2012 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:gbv:wim2-20170314-27867 UR - http://euklid.bauing.uni-weimar.de/ikm2012 SN - 1611-4086 ER - TY - CHAP A1 - Schmeikal, Bernd Anton ED - Gürlebeck, Klaus ED - Lahmer, Tom ED - Werner, Frank T1 - BAUHAUS ISOMETRY AND FIELDS T2 - Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar N2 - While integration increases by networking, segregation strides ahead too. Most of us fixate our mind on special topics. Yet we are relying on our intuition too. We are sometimes waiting for the inflow of new ideas or valuable information that we hold in high esteem, although we are not entirely conscious of its origin. We may even say the most precious intuitions are rooting in deep subconscious, collective layers of the mind. Take as a simple example the emergence of orientation in paleolithic events and its relation to the dihedral symmetry of the compass. Consider also the extension of this algebraic matter into the operational structures of the mind on the one hand and into the algebra of geometry, Clifford algebra as we use to call it today, on the other. Culture and mind, and even the individual act of creation may be connected with transient events that are subconscious and inaccessible to cognition in principle. Other events causative for our work may be merely invisible too us, though in principle they should turn out attainable. In this case we are just ignorant of the whole creative process. Sometimes we begin to use unusual tools or turn into handicraft enthusiasts. Then our small institutes turn into workshops and factories. All this is indeed joining with the Bauhaus and its spirit. We shall go together into this, and we shall present a record of this session. KW - Angewandte Informatik KW - Angewandte Mathematik KW - Computerunterstütztes Verfahren Y1 - 2012 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:gbv:wim2-20170314-27859 UR - http://euklid.bauing.uni-weimar.de/ikm2012 SN - 1611-4086 ER - TY - CHAP A1 - Scheiber, Frank ED - Gürlebeck, Klaus ED - Lahmer, Tom ED - Werner, Frank T1 - ROBUSTNESS IN CIVIL ENGINEERING - INFLUENCES OF THE STRUCTURAL MODEL ON THE EVALUATION OF THE STRUCTURAL ROBUSTNESS T2 - Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar N2 - The topic of structural robustness is covered extensively in current literature in structural engineering. A few evaluation methods already exist. Since these methods are based on different evaluation approaches, the comparison is difficult. But all the approaches have one in common, they need a structural model which represents the structure to be evaluated. As the structural model is the basis of the robustness evaluation, there is the question if the quality of the chosen structural model is influencing the estimation of the structural robustness index. This paper shows what robustness in structural engineering means and gives an overview of existing assessment methods. One is the reliability based robustness index, which uses the reliability indices of a intact and a damaged structure. The second one is the risk based robustness index, which estimates the structural robustness by the usage of direct and indirect risk. The paper describes how these approaches for the evaluation of structural robustness works and which parameters will be used. Since both approaches needs a structural model for the estimation of the structural behavior and the probability of failure, it is necessary to think about the quality of the chosen structural model. Nevertheless, the chosen model has to represent the structure, the input factors and reflect the damages which occur. On the example of two different model qualities, it will be shown, that the model choice is really influencing the quality of the robustness index. KW - Angewandte Informatik KW - Angewandte Mathematik KW - Computerunterstütztes Verfahren Y1 - 2012 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:gbv:wim2-20170314-27845 UR - http://euklid.bauing.uni-weimar.de/ikm2012 SN - 1611-4086 ER - TY - CHAP A1 - Nguyen, Manh Hung A1 - Gürlebeck, Klaus ED - Gürlebeck, Klaus ED - Lahmer, Tom ED - Werner, Frank T1 - ON M-CONFORMAL MAPPINGS AND GEOMETRIC PROPERTIES T2 - Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar N2 - Monogenic functions play a role in quaternion analysis similarly to that of holomorphic functions in complex analysis. A holomorphic function with nonvanishing complex derivative is a conformal mapping. It is well-known that in Rn+1, n ≥ 2 the set of conformal mappings is restricted to the set of Möbius transformations only and that the Möbius transformations are not monogenic. The paper deals with a locally geometric mapping property of a subset of monogenic functions with nonvanishing hypercomplex derivatives (named M-conformal mappings). It is proved that M-conformal mappings orthogonal to all monogenic constants admit a certain change of solid angles and vice versa, that change can characterize such mappings. In addition, we determine planes in which those mappings behave like conformal mappings in the complex plane. KW - Angewandte Informatik KW - Angewandte Mathematik KW - Computerunterstütztes Verfahren Y1 - 2012 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:gbv:wim2-20170314-27833 UR - http://euklid.bauing.uni-weimar.de/ikm2012 SN - 1611-4086 ER - TY - CHAP A1 - Nechytailo, Oleksandr A1 - Horokhov, Yevgen A1 - Kushchenko, Vladimir ED - Gürlebeck, Klaus ED - Lahmer, Tom ED - Werner, Frank T1 - ANALYSIS OF THE MODE OF DEFORMATION OF THE SUB-PULLEY STRUCTURES ON SHAFT SLOPING HEADGEAR STRUCTURES T2 - Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar N2 - A numerical analysis of the mode of deformation of the main load-bearing components of a typical frame sloping shaft headgear was performed. The analysis was done by a design model consisting of plane and solid finite elements, which were modeled in the program «LIRA». Due to the numerical results, the regularities of local stress distribution under a guide pulley bearing were revealed and parameters of a plane stress under both emergency and normal working loads were determined. In the numerical simulation, the guidelines to improve the construction of the joints of guide pulleys resting on sub-pulley frame-type structures were established. Overall, the results obtained are the basis for improving the engineering procedures of designing steel structures of shaft sloping headgear. KW - Angewandte Informatik KW - Angewandte Mathematik KW - Computerunterstütztes Verfahren Y1 - 2012 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:gbv:wim2-20170314-27826 UR - http://euklid.bauing.uni-weimar.de/ikm2012 SN - 1611-4086 ER - TY - CHAP A1 - Musial, Michal A1 - Ubysz, Andrzej ED - Gürlebeck, Klaus ED - Lahmer, Tom ED - Werner, Frank T1 - ROTATIONAL DUCTILITY OF CRACK IN STATIC AND DYNAMIC CALCULATIONS OF REINFORCED CONCRETE BAR STRUCTURES T2 - Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar N2 - In this paper experimental studies and numerical analysis carried out on reinforced concrete beam are partially reported. They aimed to apply the rigid finite element method to calculations for reinforced concrete beams using discrete crack model. Hence rotational ductility resulting from crack occurrence had to be determined. A relationship for calculating it in static equilibrium was proposed. Laboratory experiments proved that dynamic ductility is considerably smaller. Therefore scaling of the empirical parameter was carried out. Consequently a formula for its value depending on reinforcement ratio was obtained. KW - Angewandte Informatik KW - Angewandte Mathematik KW - Computerunterstütztes Verfahren Y1 - 2012 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:gbv:wim2-20170314-27813 UR - http://euklid.bauing.uni-weimar.de/ikm2012 SN - 1611-4086 ER - TY - CHAP A1 - Motra, Hem Bahadur A1 - Dimmig-Osburg, Andrea A1 - Hildebrand, Jörg ED - Gürlebeck, Klaus ED - Lahmer, Tom ED - Werner, Frank T1 - UNCERTAINTY QUANTIFICATION IN CYCLIC CREEP PREDICTION OF CONCRETE T2 - Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar N2 - This paper presents a methodology for uncertainty quantification in cyclic creep analysis. Several models- , namely BP model, Whaley and Neville model, modified MC90 for cyclic loading and modified Hyperbolic function for cyclic loading are used for uncertainty quantification. Three types of uncertainty are included in Uncertainty Quantification (UQ): (i) natural variability in loading and materials properties; (ii) data uncertainty due to measurement errors; and (iii) modelling uncertainty and errors during cyclic creep analysis. Due to the consideration of all type of uncertainties, a measure for the total variation of the model response is achieved. The study finds that the BP, modified Hyperbolic and modified MC90 are best performing models for cyclic creep prediction in that order. Further, global Sensitivity Analysis (SA) considering the uncorrelated and correlated parameters is used to quantify the contribution of each source of uncertainty to the overall prediction uncertainty and to identifying the important parameters. The error in determining the input quantities and model itself can produce significant changes in creep prediction values. The variability influence of input random quantities on the cyclic creep was studied by means of the stochastic uncertainty and sensitivity analysis namely the Gartner et al. method and Saltelli et al. method. All input imperfections were considered to be random quantities. The Latin Hypercube Sampling (LHS) numerical simulation method (Monte Carlo type method) was used. It has been found by the stochastic sensitivity analysis that the cyclic creep deformation variability is most sensitive to the Elastic modulus of concrete, compressive strength, mean stress, cyclic stress amplitude, number of cycle, in that order. KW - Angewandte Informatik KW - Angewandte Mathematik KW - Computerunterstütztes Verfahren Y1 - 2012 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:gbv:wim2-20170314-27803 UR - http://euklid.bauing.uni-weimar.de/ikm2012 SN - 1611-4086 ER - TY - CHAP A1 - Morais, Joao A1 - Georgiev, Svetlin A1 - Sprößig, Wolfgang ED - Gürlebeck, Klaus ED - Lahmer, Tom ED - Werner, Frank T1 - A NOTE ON THE CLIFFORD FOURIER-STIELTJES TRANSFORM T2 - Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar N2 - The purpose of this article is to provide an overview of the real Clifford Fourier- Stieltjes transform (CFST) and of its important properties. Additionally, we introduce the definition of convolution of Clifford functions of bounded variation. KW - Angewandte Informatik KW - Angewandte Mathematik KW - Computerunterstütztes Verfahren Y1 - 2012 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:gbv:wim2-20170314-27794 UR - http://euklid.bauing.uni-weimar.de/ikm2012 SN - 1611-4086 ER -