@inproceedings{Wudtke, author = {Wudtke, Idna}, title = {CONSTITUTIVE MODELING OF CRYSTALLINE MATERIALS WITH TEXTURE CHARACTERISTICS}, series = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar}, booktitle = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar}, editor = {G{\"u}rlebeck, Klaus and Lahmer, Tom and Werner, Frank}, organization = {Bauhaus-Universit{\"a}t Weimar}, issn = {1611-4086}, doi = {10.25643/bauhaus-universitaet.2791}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-27910}, pages = {9}, abstract = {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.}, subject = {Angewandte Informatik}, language = {en} } @inproceedings{SuzukiLawrynowiczNounoetal., author = {Suzuki, Osamu and Lawrynowicz, Julian and Nouno, Kiyoharu and Nagayama, Daiki}, title = {BINARY AND TERNARY CLIFFORD ANALYSIS ON NONION ALGEBRA AND SU(3)}, series = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar}, booktitle = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar}, editor = {G{\"u}rlebeck, Klaus and Lahmer, Tom and Werner, Frank}, organization = {Bauhaus-Universit{\"a}t Weimar}, issn = {1611-4086}, doi = {10.25643/bauhaus-universitaet.2788}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-27880}, pages = {12}, abstract = {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.}, subject = {Angewandte Informatik}, language = {en} } @inproceedings{StutzWuttke, author = {Stutz, Henning and Wuttke, Frank}, title = {EVALUATION OF SOIL-STRUCTURE INTERACTION MODELS USING DIFFERENT MODEL-ROBUSTNESS APPROACHES}, series = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar}, booktitle = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar}, editor = {G{\"u}rlebeck, Klaus and Lahmer, Tom and Werner, Frank}, organization = {Bauhaus-Universit{\"a}t Weimar}, issn = {1611-4086}, doi = {10.25643/bauhaus-universitaet.2787}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-27878}, pages = {15}, abstract = {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.}, subject = {Angewandte Informatik}, language = {en} } @inproceedings{Simsek, author = {Simsek, Yilmaz}, title = {ON INTERPOLATION FUNCTION OF THE BERNSTEIN POLYNOMIALS}, series = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar}, booktitle = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar}, editor = {G{\"u}rlebeck, Klaus and Lahmer, Tom and Werner, Frank}, organization = {Bauhaus-Universit{\"a}t Weimar}, issn = {1611-4086}, doi = {10.25643/bauhaus-universitaet.2786}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-27867}, pages = {8}, abstract = {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\ierential 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.}, subject = {Angewandte Informatik}, language = {en} } @inproceedings{Schmeikal, author = {Schmeikal, Bernd Anton}, title = {BAUHAUS ISOMETRY AND FIELDS}, series = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar}, booktitle = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar}, editor = {G{\"u}rlebeck, Klaus and Lahmer, Tom and Werner, Frank}, organization = {Bauhaus-Universit{\"a}t Weimar}, issn = {1611-4086}, doi = {10.25643/bauhaus-universitaet.2785}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-27859}, pages = {9}, abstract = {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.}, subject = {Angewandte Informatik}, language = {en} } @inproceedings{Scheiber, author = {Scheiber, Frank}, title = {ROBUSTNESS IN CIVIL ENGINEERING - INFLUENCES OF THE STRUCTURAL MODEL ON THE EVALUATION OF THE STRUCTURAL ROBUSTNESS}, series = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar}, booktitle = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar}, editor = {G{\"u}rlebeck, Klaus and Lahmer, Tom and Werner, Frank}, organization = {Bauhaus-Universit{\"a}t Weimar}, issn = {1611-4086}, doi = {10.25643/bauhaus-universitaet.2784}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-27845}, pages = {13}, abstract = {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.}, subject = {Angewandte Informatik}, language = {en} } @inproceedings{NguyenGuerlebeck, author = {Nguyen, Manh Hung and G{\"u}rlebeck, Klaus}, title = {ON M-CONFORMAL MAPPINGS AND GEOMETRIC PROPERTIES}, series = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar}, booktitle = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar}, editor = {G{\"u}rlebeck, Klaus and Lahmer, Tom and Werner, Frank}, organization = {Bauhaus-Universit{\"a}t Weimar}, issn = {1611-4086}, doi = {10.25643/bauhaus-universitaet.2783}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-27833}, pages = {7}, abstract = {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 M{\"o}bius transformations only and that the M{\"o}bius 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.}, subject = {Angewandte Informatik}, language = {en} } @inproceedings{NechytailoHorokhovKushchenko, author = {Nechytailo, Oleksandr and Horokhov, Yevgen and Kushchenko, Vladimir}, title = {ANALYSIS OF THE MODE OF DEFORMATION OF THE SUB-PULLEY STRUCTURES ON SHAFT SLOPING HEADGEAR STRUCTURES}, series = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar}, booktitle = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar}, editor = {G{\"u}rlebeck, Klaus and Lahmer, Tom and Werner, Frank}, organization = {Bauhaus-Universit{\"a}t Weimar}, issn = {1611-4086}, doi = {10.25643/bauhaus-universitaet.2782}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-27826}, pages = {16}, abstract = {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.}, subject = {Angewandte Informatik}, language = {en} } @inproceedings{MuellerLudwig, author = {M{\"u}ller, Matthias and Ludwig, Horst-Michael}, title = {Sulfatangriff magnesiumhaltiger W{\"a}sser auf M{\"o}rtel unterschiedlicher Zusammensetzung}, series = {Tagungsband 18. Ibausil - 18. Internationale Baustofftagung : 12.-15. September 2012, Weimar}, booktitle = {Tagungsband 18. Ibausil - 18. Internationale Baustofftagung : 12.-15. September 2012, Weimar}, editor = {Ludwig, Horst-Michael}, organization = {F.A.Finger-Institut f{\"u}r Baustoffkunde, Bauhaus-Universit{\"a}t Weimar}, isbn = {978-3-00-034075-8 (Bauhaus-Universit{\"a}tsverlag Weimar)}, doi = {10.25643/bauhaus-universitaet.4873}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20240507-48732}, pages = {489-496}, abstract = {Die besondere Aggressivit{\"a}t von hochkonzentrierten Magnesiumsulfatl{\"o}sungen bei Einwirkung auf Beton ist seit vielen Jahrzehnten bekannt. Neben dem Sulfat greift zus{\"a}tzlich auch das Magnesium den Zementstein an. Bei hohen L{\"o}sungskonzentrationen nimmt der Magnesiumangriff gegen{\"u}ber 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 Versch{\"a}rfung des Sulfatangriffes bei niedrigen Temperaturen f{\"u}hrte. Diese Versch{\"a}rfung trat bei M{\"o}rteln und Betonen auf, bei denen der erh{\"o}hte Sulfatwiderstand durch einen teilweisen Zementersatz mit 20 \% Flugasche zu einem CEM II/A-LL erreicht werden sollte, gem{\"a}ß der Flugascheregelung nach EN 206-1/DIN 1045-2. Bei einem teilweisen Zementersatz durch 30 \% Flugasche konnte auch in magnesiumhaltigen Sulfatl{\"o}sungen eine deutliche Verbesserung des Sulfatwiderstandes erreicht werden. M{\"o}rtel mit HS-Zement als Bindemittel wiesen keinerlei Sch{\"a}den auf. Schadensverursachend war eine Kombination mehrerer Einfl{\"u}sse. Zum einen wurde der Sulfatwiderstand des Zement-Flugasche-Systems durch die unzureichende Reaktion der Flugasche infolge der niedrigen Lagerungstemperatur geschw{\"a}cht. 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. Zus{\"a}tzlich wurde durch den Portlanditverbrauch und die pH-Wert-Absenkung in der Randzone die puzzolanische Reaktion der Flugasche behindert.}, subject = {Beton}, language = {de} } @inproceedings{MuellerEhrhardtLudwig, author = {M{\"u}ller, Matthias and Ehrhardt, Dirk and Ludwig, Horst-Michael}, title = {Optimierung der Nachbehandlung von Waschbetonoberfl{\"a}chen}, series = {Tagungsband 18. Ibausil - 18. Internationale Baustofftagung : 12.-15. September 2012, Weimar}, booktitle = {Tagungsband 18. Ibausil - 18. Internationale Baustofftagung : 12.-15. September 2012, Weimar}, editor = {Ludwig, Horst-Michael}, organization = {F.A.Finger-Institut f{\"u}r Baustoffkunde, Bauhaus-Universit{\"a}t Weimar}, isbn = {978-3-00-034075-8}, doi = {10.25643/bauhaus-universitaet.4872}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20240226-48722}, pages = {794-781}, abstract = {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 gew{\"a}hrleistet den Verdunstungsschutz des Betons bis zum Zeitpunkt des Ausb{\"u}rstens des verz{\"o}gerten Oberfl{\"a}chenm{\"o}rtels. Daran schließt sich die zweite Nachbehandlung an, in der Regel durch Aufspr{\"u}hen eines fl{\"u}ssigen Nachbehandlungsmittels. Der zweite Nachbehandlungsschritt ist entscheidend f{\"u}r 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 Waschbetonoberfl{\"a}chen erh{\"o}ht werden kann, insbesondere bei Verwendung h{\"u}ttensandhaltiger Zemente. Schon durch eine einmalige Nassnachbehandlung wurde eine deutlich h{\"o}herer Widerstand der Waschbetons gegen Frost-Tausalz-Angriff erzielt.}, subject = {Beton}, language = {de} }