@inproceedings{DuckeEcksteinMontag2000,
  author    = {Ducke, M. and Eckstein, U. and Montag, U.},
  title     = {Die Eisenbahnbr{\"u}cken des Lehrter Bahnhofs in Berlin - Ein ganzheitliches FE-Berechnungskonzept},
  doi       = {10.25643/bauhaus-universitaet.581},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20111215-5812},
  year      = {2000},
  abstract  = {Der Komplexit{\"a}t moderner Br{\"u}ckenbauwerke scheinen die verwendeten Berechungsmodelle oft nicht angemessen. Tragwerksberechnungen basieren in vielen F{\"a}llen noch auf der Vorgehensweise, das Br{\"u}ckenbauwerk in Einzelbauteile zu zerlegen und mit unterschiedlichen Teilmodellen zu behandeln. Das erscheint, auch vor dem Hintergrund st{\"a}ndig wachsender Rechnerleistung, nicht mehr zeitgem{\"a}ß. Dies gilt zum Beispiel auch f{\"u}r die g{\"a}ngige Praxis, fl{\"a}chenhafte Br{\"u}cken{\"u}berbauten mit Balkenmodellen zu berechnen. Der vorliegende Beitrag stellt ein ganzheitliches Berech-nungskonzept vor, welches auf der Basis eines einzigen FE-Modells die Berechnung des Gesamtbauwerks erlaubt. Damit wird f{\"u}r alle Bauteile neben der Zustandsgr{\"o}ßenberechnung auch die Bemessung von Stahl- und Spannbetonbauteilen bis hin zu Nachweisen wie zur Beschr{\"a}nkung der Rissbreite gef{\"u}hrt. Die Anwendung dieses Berechnungskonzeptes wird am Beispiel der Eisenbahn{\"u}berf{\"u}hrung des neuen Lehrter Bahn-hofs in Berlin gezeigt. Das verwendete FE-Modell umfasst Baugrund, Fundamente, Stahl- bzw. Gußstahlunterkonstruktion sowie den Stahl- bzw. Spannbeton{\"u}berbau. Besonderheiten sind unter anderem die Modellierung des plattenbalkenartigen {\"U}berbaus durch exzentrische, vorspannbare Schalenelemente und das getrennte Vorhalten von tragwerks- und lastbezogenen Eingabefiles. Damit gelingt die sequentielle Erfassung unterschiedlicher Bettungsmoduli zur Simulation statischer und dynamischer Beanspruchungen, die Ber{\"u}cksichtigung des Anspannens und der Interaktion zwischen vorgespannten Stahlverb{\"a}nden zur Aufnahme von Horizontallasten sowie die Ber{\"u}cksichtigung unterschiedlicher statischer Systeme bei der Herstellung des Spannbeton{\"u}berbaus.},
  subject      = {Berlin},
  language  = {de}
}
@inproceedings{vanRooyenOlivier2004,
  author    = {van Rooyen, G.C. and Olivier, A. H.},
  title     = {Notes on structural analysis in a distributed collaboratory},
  doi       = {10.25643/bauhaus-universitaet.145},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20111215-1451},
  year      = {2004},
  abstract  = {The worldwide growth of communication networks and associated technologies provide the basic infrastructure for new ways of executing the engineering process. Collaboration amongst team members seperated in time and location is of particular importance. Two broad themes can be recognized in research pertaining to distributed collaboration. One theme focusses on the technical and technological aspects of distributed work, while the other emphasises human aspects thereof. The case of finite element structural analysis in a distributed collaboratory is examined in this paper. An approach is taken which has its roots in human aspects of the structural analysis task. Based on experience of how structural engineers currently approach and execute this task while utilising standard software designed for use on local workstations only, criteria are stated for a software architechture that could support collaborative structural analysis. Aspects of a pilot application and the results of qualitative performance measurements are discussed.},
  subject      = {Ingenieurbau},
  language  = {en}
}
@inproceedings{KoepplerRoosBurkhardt1997,
  author    = {K{\"o}ppler, H. and Roos, Dirk and Burkhardt, Gerhard},
  title     = {Zur Berechnung vielschichtiger Schalen mit orthotropen Schichten},
  doi       = {10.25643/bauhaus-universitaet.437},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20111215-4379},
  year      = {1997},
  abstract  = {Wirklichkeitsnahe Erfassung und Beschreibung des Trag- und Verformungsverhaltens von Strukturen baulicher Anlagen hat in den letzten Jahrzehnten st{\"a}ndig an Bedeutung gewonnen. Konstruktionen im Hoch- und Industriebau werden zunehmend multifunktional genutzt - die >Grenzen< zwischen Bauwerk und Tragwerk, zwischen H{\"u}ll- und Tragkonstruktion l{\"o}sen sich auf. Werden raumabschließende Elemente (W{\"a}nde, Decken, D{\"a}cher) gleichzeitig als Tragelemente und w{\"a}rme- und schalld{\"a}mmende Konstruktionen ausgef{\"u}hrt, so entstehen beispielsweise Sandwichplatten, deren Schichten sehr stark differierende Materialeigenschaften aufweisen. Beim Aufbau des FEM-Modells f{\"u}r vielschichtige Schalen k{\"o}nnen die Form{\"a}nderungshypothesen f{\"u}r jede Schicht einzeln als auch f{\"u}r die Schale insgesamt gegeben werden. Im ersten Fall ist der Knotenfreiheitsgrad von der Schichtenzahl abh{\"a}ngig, im zweiten Fall nicht. Im weiteren wird eine Form{\"a}nderungshypothese f{\"u}r das Schichtenpaket angenommen. Ausgegangen wird von den Gleichungen der 3D-Elastizit{\"a}tstheorie. Die Ber{\"u}cksichtigung der Querkraftschubverformungen ergibt die M{\"o}glichkeit einer ad{\"a}quaten Beschreibung der Verformungen sowohl d{\"u}nner Schalen als auch von Schalen mittlerer Dicke; die Berechnung der Kr{\"u}mmungen und der LAMEschen Parameter der Bezugsfl{\"a}che zu umgehen, was f{\"u}r komplizierte Schalenformen eine selbst{\"a}ndige Aufgabe ist; eines nat{\"u}rlichen {\"U}bergangs von homogenen zu geschichteten Schalen. Das vielschichtige isoparametrische Schalen-FE wird vorgestellt, seine Implementierung in das in Entwicklung befindliche Programmsystem SLANG wird vorbereitet.},
  subject      = {Schale},
  language  = {de}
}
@inproceedings{BergerGraeffWeinberg1997,
  author    = {Berger, Hans and Graeff-Weinberg, K.},
  title     = {FEM-Detailuntersuchungen an Tragwerken unter Einsatz von pNh-{\"U}bergangselementen},
  doi       = {10.25643/bauhaus-universitaet.426},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20111215-4267},
  year      = {1997},
  abstract  = {Detailuntersuchungen an Tragwerken f{\"u}hren bei FE-Berechnungen immer wieder auf das Problem einer geeigneten Netzgestaltung. W{\"a}hrend in weiten Bereichen ein grobes Netz ausreicht, muß an kritischen Stellen ein sehr feines Netz gew{\"a}hlt werden, um gerade dort hinreichend genaue Ergebnisse zu erhalten. Bei der Realisierung lokaler Netzverdichtungen stellt die Gestaltung des {\"U}bergangs vom groben zum feinen Netz das Hauptproblem dar. Im Beitrag wird hierzu eine Familie von FE-{\"U}bergangselementen vorgestellt, mit denen sich eine voll-kompatible Kopplung von wenigen großen Elementen mit vielen kleinen Elementen bereits {\"u}ber nur eine Stufe erzielen l{\"a}ßt. Diese neu entwickelten sogenannten pNh-Elemente erm{\"o}glichen an einer oder mehreren Seiten den Anschluß von N kleineren Elementen (Elementseiten f{\"u}r h-Verfeinerung). Das wird durch N st{\"u}ckweise definierte Ansatzfunktionen an den entsprechenden Seiten erreicht, wobei die Teilung nicht {\"a}quidistant sein braucht. Dar{\"u}ber hinaus ist es m{\"o}glich, Elemente unterschiedlichen Polynomgrades p an den Standardseiten und den Verfeinerungsseiten anzuschließen. Der praktische Einsatz der {\"U}bergangselemente setzt geeignete automatische oder halbautomatische Netzgeneratoren voraus, die diese Elemente einbeziehen. Im Rahmen einer substrukturorientierten Modellierung l{\"a}ßt sich dies besonders g{\"u}nstig realisieren. Im Beitrag wird gezeigt, wie durch Zerlegung des Gesamtmodells in Bereiche mit grobem Netz, mit {\"U}bergangsnetz und mit feinem Netz, eine effektive Generierung der Netzverdichtungen zu erreichen ist. An einem praktischen Beispiel aus dem Bauingenieurwesen werden die Vorteile des vorgestellten {\"U}bergangselementkonzeptes umfassend demonstriert.},
  subject      = {Tragwerk},
  language  = {de}
}
@article{MilbradtSchierbaumSchwoeppe2004,
  author    = {Milbradt, Peter and Schierbaum, Jochen and Schw{\"o}ppe, Axel},
  title     = {Finite Cell-Elements of Higher Order},
  doi       = {10.25643/bauhaus-universitaet.252},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20111215-2524},
  year      = {2004},
  abstract  = {The method of the finite elements is an adaptable numerical procedure for interpolation as well as for the numerical approximation of solutions of partial differential equations. The basis of these procedure is the formulation of suitable finite elements and element decompositions of the solution space. Classical finite elements are based on triangles or quadrangles in the two-dimensional space and tetrahedron or hexahedron in the threedimensional space. The use of arbitrary-dimensional convex and non-convex polyhedrons as the geometrical basis of finite elements increases the flexibility of generating finite element decompositions substantially and is sometimes the only way to get a clear decomposition...},
  subject      = {Finite-Elemente-Methode},
  language  = {en}
}
@article{KaklauskasCervenkaCervenka2004,
  author    = {Kaklauskas, Gintaris and Cervenka, Vladimir and Cervenka, Jan},
  title     = {Deflection Calculation of RC Beams: Finite Element Software versus Design Code Methods},
  doi       = {10.25643/bauhaus-universitaet.249},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20111215-2498},
  year      = {2004},
  abstract  = {The paper investigates accuracy of deflection predictions made by the finite element package ATENA and design code methods ACI and EC2. Deflections have been calculated for a large number of experimental reinforced concrete beams reported by three investigators. Statistical parameters have been established for each of the technique at different load levels, separately for the beams with small and moderate reinforcement ratio.},
  subject      = {Finite-Elemente-Methode},
  language  = {en}
}
@inproceedings{Schutte2000,
  author    = {Schutte, Gerrit},
  title     = {Zur Ermittlung von Spannungen am Rand eines elastischen Kontinuums},
  doi       = {10.25643/bauhaus-universitaet.613},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20111215-6135},
  year      = {2000},
  abstract  = {F{\"u}r den Entwurf von Ingenieurbauten ist eine zuverl{\"a}ssige Prognose {\"u}ber den Spannungsverlauf im Bauwerk und auf dessen Rand von großer Bedeutung. Eine geschlossene L{\"o}sung der elastischen Bestimmungsgleichungen des Bauwerks ist in der Regel nicht verf{\"u}gbar. Es wird daher unter Verwendung der Methode der gewichteten Reste eine schwache Form der Gleichungen abgeleitet, die zu einem gemischten Arbeitsprinzip f{\"u}hrt. Das zugeh{\"o}rige Finite-Elemente-Modell erlaubt es Spannungen am Rand des Bauwerks zu ermitteln, die im Gleichgewicht zu den angreifenden Lasten stehen.},
  subject      = {Kontinuum},
  language  = {de}
}
@article{EirinhevskyDikhnyakEirichevskyetal.1997,
  author    = {{\^E}irinhevsky, V. V. and D{\^i}khnyak, B. M. and {\^E}irichevsky, R. V. and {\^E}{\^i}zub, Y. G.},
  title     = {Determination of the Temperature of Dissipative Warming and Parameters of Fracture in Elastomers with using of Singular Finite Elements},
  doi       = {10.25643/bauhaus-universitaet.547},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20111215-5471},
  year      = {1997},
  abstract  = {For modeling of singular fields of stresses and deformations in elasters with a crack is offered to use of three-dimesional a special finite element. Weak compessible of elasters is taken into account on the basis of threefold approximation of fields of displacements, deformations and function of volume change. At intensive cyclic loading of the elastomer constructions with a crack it is necessary to take into account warming and large deformations at the crack top. The stress-deformed state elasters with a crack is determined from the decision of a nonlinear problem by a modified method Newton-Kantorovich. Account stress intensity factors for a rectangular plate with a various arrangement of a through crack is executed. Process of development of a surface crack and dissipative warming in prismatic a element of shift is investigated.},
  subject      = {Elastomer},
  language  = {en}
}
@inproceedings{DaniunasKomkaWerner2000,
  author    = {Daniunas, A. and Komka, A. and Werner, F.},
  title     = {ANALYSIS AND DETERMINATION OF STRENGTH IN PLASTIC STAGE OF FREE FORM STEEL SHAPES},
  doi       = {10.25643/bauhaus-universitaet.580},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20111215-5803},
  year      = {2000},
  abstract  = {The steel structure design codes require to check up the member strength when evaluating plastic deformations. The model of perfectly plastic material is accepted. The strength criteria for simple cross-sections (I section, etc.) of steel members are given in design codes. The analytical strength criteria for steel cross-sections and numerical approaches based on stepwise procedure are investigated in many articles. Another way for checking the carrying capacity of cross-sections is the use of methods that are applied for defining strain-deformed state of elastic perfectly plastic systems. In this paper non-iterative methods are suggested for checking strength of cross-sections. Carrying capacity of cross section is verified according to extremum principle of plastic fail under monotonically loading and the strain-deformed state of cross-section is defined according to extremum energy principals of elastic potential of residual stresses and complementary work of residual displacements. The mathematical expressions of these principals for discrete cross-section are formulated as problems of convex mathematical programming. The cross-section of steel member using finite element method is divided into free form plane elements. The constant distribution of stresses along the finite element is accepted. The relationships of finite elements for static formulation of the problem are formed so, that kinematics formulation relationships could be obtained in a formal way using the theory of duality. Numerical examples of determination of cross-section strength, composition of interactive curves and composition of moment-curvature curves for different axial force levels are presented.},
  subject      = {Stahlkonstruktion},
  language  = {en}
}
@inproceedings{GurtovyPiskunov2000,
  author    = {Gurtovy, O. G. and Piskunov, V. G.},
  title     = {HIGH-PRECISION MODELING AND FINITE-ELEMENT INVESTIGATION OF ELASTOPLASTIC DEFORMATION OF NON-ISOTROPIC THICK SANDWICH PLATES AND SHELLS},
  doi       = {10.25643/bauhaus-universitaet.584},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20111215-5848},
  year      = {2000},
  abstract  = {There was suggested a phenomenological modified quadratic condition of the beginning of plasticity for plastic and quasifragile orthotropic materials. Limiting surface in the shape of a paraboloid with an axis bend over hydrostatic axis corresponds to the condition. The equations of theory of current with the isotropic and anisotropic hardenings, associated with the suggested yield condition, modified into the version of determining equations of strain theory of plasticity are received. These defining equations formed the basis of highlyprecise non-classic continual (along thickness) theory of non-linear deformation of thick sandwich plates and sloping shells. In the approximations along the cross coordinate the specificity of flexural and non-flexural deformations is taken into account. The necessity of introducing the approximations of higher order, as well as accounting for the cross compression while decreasing of the relatively cross normal and shear layer rigidness is shown. The specifications, obtained in comparison with the known physically nonlinear specified model of the bending of plates with orthotropic layers are distinguished. An effective procedure of linearization of the solving equations and getting the solutions in frames of the discrete-continual scheme of the finite-element method is suggested. The approximations of higher order let to model the appearance of the cracs of layers being split by the introducing of slightly hard thin layers into the finite element, not violating the idea of continuality of theory. Calculation of a threelayer plate with rigid face diaphragms on the contour is considered},
  subject      = {Platte},
  language  = {en}
}
@inproceedings{KirichukKoeppler1997,
  author    = {Kirichuk, A. and K{\"o}ppler, H.},
  title     = {Numerical Algorithms and Computer Modeling for nonlinear Analysis of Shell Structures},
  doi       = {10.25643/bauhaus-universitaet.438},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20111215-4382},
  year      = {1997},
  abstract  = {The dynamic behaviour of shells, which are widely used in construction and mechanical engineering as critical components of machinery and 3-D structures, under static and dynamic loadings is described by system of deep nonlinear differential equations. Solution of these equations can be received with assistance of technique basing on a modern numerical algorithms and computer modeling.. The system of nonlinear differential equations of vibration of the shells is proposed taking into account the inertia forces in the tangential and normal directions. Its solution is based on combination of parameter prolongation method, finite-difference method and the Newton-Kantorovich iterative algorithm that allows plotting the loading trajectories and determination of bifurcation points on them. Package of Applied Programs >SEVSOR< is a computation means to be used in research of deformation, stability and vibration in thin axically-symmetric shells of complicated shape Input data include information on shell geometry, physical and mechanical properties, bearing conditions, types of loadings and load application. Frame output of motion forms in real time or either in decelerated or accelerated time scales for creating cartoons or video films is used for analysis of the compound dynamic processes in shell-type structures.},
  subject      = {Schale},
  language  = {en}
}
@inproceedings{PopovaDatchevaIankov2003,
  author    = {Popova, E. D. and Datcheva, Maria and Iankov, Roumen},
  title     = {Mechanical Models with Interval Parameters},
  doi       = {10.25643/bauhaus-universitaet.348},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20111215-3482},
  year      = {2003},
  abstract  = {In this paper we consider modelling of composite material with inclusions where the elastic material properties of both matrix and inclusions are uncertain and vary within prescribed bounds. Such mechanical systems, involving interval uncertainties and modelled by finite element method, can be described by parameter dependent systems of linear interval equations and process variables depending on the system solution. A newly developed hybrid interval approach for solving parametric interval linear systems is applied to the considered model and the results are compared to other interval methods. The hybrid approach provides very sharp bounds for the process variables - element strains and stresses. The sources for overestimation when dealing with interval computations are demonstrated. Based on the element strains and stresses, we introduce a definition for the values of nodal strains and stresses by using a set-theoretic approach.},
  subject      = {Verbundwerkstoff},
  language  = {en}
}
@article{GanevMarinov1997,
  author    = {Ganev, T. and Marinov, M.},
  title     = {Towards Optimal Designing of thin elastic Plates with a specific free Oscillations Frequency},
  doi       = {10.25643/bauhaus-universitaet.537},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20111215-5375},
  year      = {1997},
  abstract  = {Thin elastic plates are the basic constructional elements and are very often subjected to dynamic effects especially in the machine-building structures. Their saving design of resonance conditions of operation is an extremely complicated task which cannot be solved analytically. In the present report an efficient and sufficiently general method for optimal design of thin plates is worked out on the basis of energy resonance method of Wilder, the method of the finite elements for dynamic research and the methods of parameter optimization. By means of these methods various limitations and requirements put by the designer to the plates can be taken into account. A programme module for numerical investigation of the weight variation of the plate depending on the taken variable of the designed thickness at different supporting conditions is developed. The reasons for the considerable quantity and quality difference between the obtained optimal designs are also analysed.},
  subject      = {Platte},
  language  = {en}
}
@article{PickHeimsundMilbradt2004,
  author    = {Pick, Tobias and Heimsund, Bjoern-Ove and Milbradt, Peter},
  title     = {Development and Analysis of Sparse Matrix Concepts for Finite Element Approximation on general Cells},
  doi       = {10.25643/bauhaus-universitaet.250},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20111215-2500},
  year      = {2004},
  abstract  = {In engineering and computing, the finite element approximation is one of the most well-known computational solution techniques. It is a great tool to find solutions for mechanic, fluid mechanic and ecological problems. Whoever works with the finite element method will need to solve a large system of linear equations. There are different ways to find a solution. One way is to use a matrix decomposition technique such as LU or QR. The other possibility is to use an iterative solution algorithm like Conjugate Gradients, Gauß-Seidel, Multigrid Methods, etc. This paper will focus on iterative solvers and the needed storage techniques...},
  subject      = {Finite-Elemente-Methode},
  language  = {en}
}
@inproceedings{BaitschHartmann2004,
  author    = {Baitsch, Matthias and Hartmann, Dietrich},
  title     = {Object Oriented Finite Element Analysis for Structural Optimization using p-Elements},
  doi       = {10.25643/bauhaus-universitaet.108},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20111215-1089},
  year      = {2004},
  abstract  = {The optimization of continuous structures requires careful attention to discretization errors. Compared to ordinary low order formulation (h-elements) in conjunction with an adaptive mesh refinement in each optimization step, the use of high order finite elements (so called p-elements) has several advantages. However, compared to the h-method a higher order finite element analysis program poses higher demands from a software engineering point of view. In this article the basics of an object oriented higher order finite element system especially tailored to the use in structural optimization is presented. Besides the design of the system, aspects related to the employed implementation language Java are discussed.},
  subject      = {Konzipieren <Technik>},
  language  = {en}
}
@article{GalffyWellmannJelicHartmann2004,
  author    = {Galffy, Mozes and Wellmann Jelic, Andres and Hartmann, Dietrich},
  title     = {Lifetime-oriented modelling of vortex-induced across-wind vibrations on bridge tie rods},
  doi       = {10.25643/bauhaus-universitaet.253},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20111215-2536},
  year      = {2004},
  abstract  = {The influence of vortex-induces vibrations on vertical tie rods has been proved as a determinant load factor in the lifetime-oriented dimensioning of arched steel bridges. Particularly, the welded connection plates between the suspenders and the arches often exhibit cracks induced primarily rods. In this context, the synchronization of the vortex-shedding to the rod motion in a critical wind velocity range, the so-called lock-in effect, is of essential interest.},
  subject      = {Finite-Elemente-Methode},
  language  = {en}
}
@inproceedings{Montag1997,
  author    = {Montag, U.},
  title     = {A New Efficient Concept for Elasto-plastic Simulations of Shell Responses},
  doi       = {10.25643/bauhaus-universitaet.436},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20111215-4364},
  year      = {1997},
  abstract  = {For the analysis of arbitrary, by Finite Elements discretized shell structures, an efficient numerical simulation strategy with quadratic convergence including geometrically and physically nonlinear effects will be presented. In the beginning, a Finite-Rotation shell theory allowing constant shear deformations across the shell thickness is given in an isoparametric formulation. The assumed-strain concept enables the derivation of a locking-free finite element. The Layered Approach will be applied to ensure a sufficiently precise prediction of the propagation of plastic zones even throughout the shell thickness. The Riks-Wempner-Wessels global iteration scheme will be enhanced by a Line-Search procedure to ensure the tracing of nonlinear deformation paths with rather great load steps even in the post-peak range. The elastic-plastic material model includes isotropic hardening. A new Operator-Split return algorithm ensures considerably exact solution of the initial-value problem even for greater load steps. The combination with consistently linearized constitutive equations ensures quadratic convergence in a close neighbourhood to the exact solution. Finally, several examples will demonstrate accuracy and numerical efficiency of the developed algorithm.},
  subject      = {Schale},
  language  = {en}
}
@phdthesis{Lehmkuhl2004,
  author    = {Lehmkuhl, Hansj{\"o}rg},
  title     = {Zur praktischen Anwendung numerischer Analysemethoden f{\"u}r Stabilit{\"a}tsprobleme},
  doi       = {10.25643/bauhaus-universitaet.676},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20051013-7102},
  school      = {Bauhaus-Universit{\"a}t Weimar},
  year      = {2004},
  abstract  = {In der t{\"a}glichen Ingenieurpraxis werden in zunehmenden Maße numerische Analysen im Rahmen der Finite-Elemente-Methode auch zur Untersuchung stabilit{\"a}tsgef{\"a}hrdeter Strukturen eingesetzt. F{\"u}r die aktuelle Praxis, insbesondere im konstruktiven Stahlbau, ist jedoch festzustellen, dass zwischen der fortgeschrittenen Theorie und dem Niveau der praktischen Anwendung numerischer Stabilit{\"a}tsanalysen eine große Kluft besteht. Aus praktischer Sicht erscheint es unumg{\"a}nglich, die weiter wachsende Diskrepanz zwischen den umfangreichen theoretischen M{\"o}glichkeiten und der gegenw{\"a}rtigen Praxis abzubauen. Damit steht der praktisch t{\"a}tige Ingenieur vor der Aufgabe, sein Wissen auf dem Gebiet numerischer Stabilit{\"a}tsanalysen zu vertiefen und bereits vorhandene FE-Programme um Berechnungsalgorithmen f{\"u}r umfassende numerische Stabilit{\"a}tsanalysen zu erweitern. Daf{\"u}r werden in der Arbeit die Grundlagen einer FEM- orientierten modernen Stabilit{\"a}tstheorie einheitlich und aus Sicht einer praktischen Anwendung aufbereitet. Die Darstellung von realisierten programmtechnischen Umsetzungen f{\"u}r erweiterte Analysenmethoden wie Nachbeulanalysen, Pfadwechsel und Approximationen imperfekter Pfade erm{\"o}glicht eine Erweiterung des Methodenvorrates. Die innerhalb der Arbeit untersuchten Beispiele zeigen, dass durch die Anwendung der behandelten Verfahren das Tragverhalten einer stabilit{\"a}tsgef{\"a}hrdeten Struktur wesentlich besser eingesch{\"a}tzt werden kann als bei Beschr{\"a}nkung auf die herk{\"o}mmlichen Analysemethoden.},
  subject      = {Nichtlineare Stabilit{\"a}tstheorie},
  language  = {de}
}
@inproceedings{GabbertGrochlaKoeppe1997,
  author    = {Gabbert, U. and Grochla, J. and K{\"o}ppe, H.},
  title     = {Dynamic-explicit finite element simulation of complex problems in civil engineering by parallel computing},
  doi       = {10.25643/bauhaus-universitaet.425},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20111215-4259},
  year      = {1997},
  abstract  = {The paper deals with the simulation of the non-linear and time dependent behaviour of complex structures in engineering. Such simulations have to provide high accuracy in the prediction of deformations and stability, by taking into account the long term influences of the non-linear behaviour of the material as well as the large deformation and contact conditions. The limiting factors of the computer simulation are the computer run time and the memory requirement during solving large scale problems. To overcome these problems we use a dynamic-explicit time integration procedure for the solution of the semi-discrete equations of motion, which is very suited for parallel processing. In the paper at first we give a brief review of the theoretical background of the mechanical modelling and the dynamic-explicit technique for the solution of the semi-discrete equations of motion. Then the concept of parallel processing will be discussed . A test example concludes the paper.},
  subject      = {Tragwerk},
  language  = {en}
}
@inproceedings{HaefnerEckardtKoenke2003,
  author    = {H{\"a}fner, Stefan and Eckardt, Stefan and K{\"o}nke, Carsten},
  title     = {A geometrical inclusion-matrix model for the finite element analysis of concrete at multiple scales},
  doi       = {10.25643/bauhaus-universitaet.301},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20111215-3018},
  year      = {2003},
  abstract  = {This paper introduces a method to generate adequate inclusion-matrix geometries of concrete in two and three dimensions, which are independent of any specific numerical discretization. The article starts with an analysis on shapes of natural aggregates and discusses corresponding mathematical realizations. As a first prototype a two-dimensional generation of a mesoscale model is introduced. Particle size distribution functions are analysed and prepared for simulating an adequate three-dimensional representation of the aggregates within a concrete structure. A sample geometry of a three-dimensional test cube is generated and the finite element analysis of its heterogeneous geometry by a uniform mesh is presented. Concluding, aspects of a multiscale analysis are discussed and possible enhancements are proposed.},
  subject      = {Beton},
  language  = {en}
}