@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}
}
@article{VuBacNguyenXuanChenetal.,
  author    = {Vu-Bac, N. and Nguyen-Xuan, Hung and Chen, Lei and Lee, C.K. and Zi, Goangseup and Zhuang, Xiaoying and Liu, G.R. and Rabczuk, Timon},
  title     = {A phantom-node method with edge-based strain smoothing for linear elastic fracture mechanics},
  series = {Journal of Applied Mathematics},
  journal   = {Journal of Applied Mathematics},
  doi       = {10.1155/2013/978026},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170426-31676},
  abstract  = {This paper presents a novel numerical procedure based on the combination of an edge-based smoothed finite element (ES-FEM) with a phantom-node method for 2D linear elastic fracture mechanics. In the standard phantom-node method, the cracks are formulated by adding phantom nodes, and the cracked element is replaced by two new superimposed elements. This approach is quite simple to implement into existing explicit finite element programs. The shape functions associated with discontinuous elements are similar to those of the standard finite elements, which leads to certain simplification with implementing in the existing codes. The phantom-node method allows modeling discontinuities at an arbitrary location in the mesh. The ES-FEM model owns a close-to-exact stiffness that is much softer than lower-order finite element methods (FEM). Taking advantage of both the ES-FEM and the phantom-node method, we introduce an edge-based strain smoothing technique for the phantom-node method. Numerical results show that the proposed method achieves high accuracy compared with the extended finite element method (XFEM) and other reference solutions.},
  subject      = {Finite-Elemente-Methode},
  language  = {en}
}
@article{TolokTolokGomenyuk1997,
  author    = {Tolok, V. A. and Tolok, A. V. and Gomenyuk, S. I.},
  title     = {The instrumental System of Mechanics Problems Analysis of the deformed Solid Body},
  doi       = {10.25643/bauhaus-universitaet.536},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20111215-5361},
  year      = {1997},
  abstract  = {In the abstract proposed is the Instrumental System of mechanics problems analysis of the deformed solid body. It supplies the researcher with the possibility to describe the input data on the object under analyses and the problem scheme based upon the variational principles within one task. The particular feature of System is possibility to describe the information concerning the object of any geometrical shape and the computation sheme according to the program defined for purpose. The Methods allow to compute the tasks with indefinite functional and indefinite geometry of the object (or the set of objects). The System provides the possibility to compute the tasks with indefinite sheme based upon the Finite Element Method (FEM). The restrictions of the System usage are therefore determined by the restrictions of the FEM itself. It contrast to other known programms using FEM (ANSYS, LS-DYNA and etc) described system possesses more universality in defining input data and choosing computational scheme. Builtin is an original Subsytem of Numerical Result Analuses. It possesses the possibility to visualise all numerical results, build the epures of the unknown variables, etc. The Subsystem is approved while solving two- and three-dimensional problems of Elasticiti and Plasticity, under the conditions of Geometrical Unlinearity. Discused are Contact Problems of Statics and Dynamics.},
  subject      = {Festk{\"o}rpermechanik},
  language  = {en}
}
@article{TalebiZiSilanietal.,
  author    = {Talebi, Hossein and Zi, Goangseup and Silani, Mohammad and Samaniego, Esteban and Rabczuk, Timon},
  title     = {A simple circular cell method for multilevel finite element analysis},
  series = {Journal of Applied Mathematics},
  journal   = {Journal of Applied Mathematics},
  doi       = {10.1155/2012/526846},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170426-31639},
  abstract  = {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.},
  subject      = {Finite-Elemente-Methode},
  language  = {en}
}
@article{ReichertOlneyLahmer,
  author    = {Reichert, Ina and Olney, Peter and Lahmer, Tom},
  title     = {Combined approach for optimal sensor placement and experimental verification in the context of tower-like structures},
  series = {Journal of Civil Structural Health Monitoring},
  volume    = {2021},
  journal   = {Journal of Civil Structural Health Monitoring},
  number    = {volume 11},
  publisher = {Heidelberg},
  address   = {Springer},
  doi       = {10.1007/s13349-020-00448-7},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20210804-44701},
  pages     = {223 -- 234},
  abstract  = {When it comes to monitoring of huge structures, main issues are limited time, high costs and how to deal with the big amount of data. In order to reduce and manage them, respectively, methods from the field of optimal design of experiments are useful and supportive. Having optimal experimental designs at hand before conducting any measurements is leading to a highly informative measurement concept, where the sensor positions are optimized according to minimal errors in the structures' models. For the reduction of computational time a combined approach using Fisher Information Matrix and mean-squared error in a two-step procedure is proposed under the consideration of different error types. The error descriptions contain random/aleatoric and systematic/epistemic portions. Applying this combined approach on a finite element model using artificial acceleration time measurement data with artificially added errors leads to the optimized sensor positions. These findings are compared to results from laboratory experiments on the modeled structure, which is a tower-like structure represented by a hollow pipe as the cantilever beam. Conclusively, the combined approach is leading to a sound experimental design that leads to a good estimate of the structure's behavior and model parameters without the need of preliminary measurements for model updating.},
  subject      = {Strukturmechanik},
  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}
}
@article{NohPark2004,
  author    = {Noh, Jung-Hwi and Park, Jong-Heon},
  title     = {A Calculation of Initial Cable Force for Ko-Ha Grand Bridge},
  doi       = {10.25643/bauhaus-universitaet.245},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20111215-2459},
  year      = {2004},
  abstract  = {The primary objective of initial shape analysis of a cable stayed bridge is to calculate initial installation cable tension forces and to evaluate fabrication camber of main span and pylon providing the final longitudinal profile of the bridge at the end of construction. In addition, the initial cable forces depending on the alternation of the bridge's shape can be obtained from the analysis, and will be used to provide construction safety during construction. In this research, we conducted numerical experiments for initial shape of Ko-ha bridge, which will be constructed in the near future, using three different typical methods such as continuous beam method, linear truss method, and IIMF (Introducing Initial Member Force) method},
  subject      = {Finite-Elemente-Methode},
  language  = {en}
}
@article{MostEckardt2004,
  author    = {Most, Thomas and Eckardt, Stefan},
  title     = {Application of a hybrid parallelization technique to accelerate the numerical simulation of nonlinear mechanical problems},
  doi       = {10.25643/bauhaus-universitaet.259},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20111215-2599},
  year      = {2004},
  abstract  = {This paper presents the combination of two different parallelization environments, OpenMP and MPI, in one numerical simulation tool. The computation of the system matrices and vectors is parallelized with OpenMP and the solution of the system of equations is done with the MPIbased solver MUMPS. The efficiency of both algorithms is shown on several linear and nonlinear examples using the Finite Element Method and a meshless discretization technique.},
  subject      = {Framework <Informatik>},
  language  = {en}
}
@article{MortazaviPereiraJiangetal.,
  author    = {Mortazavi, Bohayra and Pereira, Luiz Felipe C. and Jiang, Jin-Wu and Rabczuk, Timon},
  title     = {Modelling heat conduction in polycrystalline hexagonal boron-nitride films},
  series = {Scientific Reports},
  journal   = {Scientific Reports},
  doi       = {10.1038/srep13228},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170425-31534},
  abstract  = {We conducted extensive molecular dynamics simulations to investigate the thermal conductivity of polycrystalline hexagonal boron-nitride (h-BN) films. To this aim, we constructed large atomistic models of polycrystalline h-BN sheets with random and uniform grain configuration. By performing equilibrium molecular dynamics (EMD) simulations, we investigated the influence of the average grain size on the thermal conductivity of polycrystalline h-BN films at various temperatures. Using the EMD results, we constructed finite element models of polycrystalline h-BN sheets to probe the thermal conductivity of samples with larger grain sizes. Our multiscale investigations not only provide a general viewpoint regarding the heat conduction in h-BN films but also propose that polycrystalline h-BN sheets present high thermal conductivity comparable to monocrystalline sheets.},
  subject      = {W{\"a}rmeleitf{\"a}higkeit},
  language  = {en}
}
@article{MironovPahl2004,
  author    = {Mironov, Vadim and Pahl, Peter Jan},
  title     = {A Prismatic Finite Element for Accurate Arch Dam Analysis},
  doi       = {10.25643/bauhaus-universitaet.246},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20111215-2467},
  year      = {2004},
  abstract  = {The displacements and stresses in arch dams and their abutments are frequently determined with 20-node brick elements. The elements are distorted near the contact plane between the wall and the abutment. A cantilever beam testbed has been developed to investigate the consequences of this distortion. It is shown that the deterioration of the accuracy in the computed stresses is significant. A compatible 18-node wedge element with linear stress variation is developed as an alternative to the brick element. The shape of this element type is readily adapted to the shape of the contact plane. It is shown that the accuracy of the computed stresses in the vicinity of the contact plane is improved significantly by the use of wedge elements.},
  subject      = {Finite-Elemente-Methode},
  language  = {en}
}
@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{MelnikovSemenov2004,
  author    = {Melnikov, B. E. and Semenov, Artem},
  title     = {Application of Multimodel Method of Elasto-Plastic Analysis for the Multilevel Computation of Structures},
  doi       = {10.25643/bauhaus-universitaet.248},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20111215-2487},
  year      = {2004},
  abstract  = {Creation of hierarchical sequence of the plastic and viscoplastic models according to different levels of structure approximations is considered. Developed strategy of multimodel analysis, which consists of creation of the inelastic models library, determination of selection criteria system and caring out of multivariant sequential clarifying computations, is described. Application of the multimodel approach in numerical computations has demonstrated possibility of reliable prediction of stress-strain response under wide variety of combined nonproportional loading.},
  subject      = {Finite-Elemente-Methode},
  language  = {en}
}
@article{LaemmerBurghardtMeissner1997,
  author    = {L{\"a}mmer, Lutz and Burghardt, Michael and Meißner, Udo F.},
  title     = {Parallele Netzgenerierung},
  doi       = {10.25643/bauhaus-universitaet.531},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20111215-5315},
  year      = {1997},
  abstract  = {Bei der Berechnung von statischen oder dynamischen Problemen mit Hilfe der Methode der Finiten Elemente ist eine Diskretisierung des zu berechnenden Gebietes notwendig. Bei einer sinnvollen Modellierung des Gebietes ist die Elementgr{\"o}ße meist nicht konstant, sondern ist an kritischen Stellen kleiner. Die Vorgaben hierf{\"u}r k{\"o}nnen einerseits aus Erfahrungen des Anwenders, andererseits aus einer Fehlerabsch{\"a}tzung einer vorangegangenen FE-Berechnung resultieren [5]. Soll die FE-Berechnung auf einem Parallelrechner geschehen, ist eine Partitionierung des Gebietes, d.h. eine Zuordnung der Elemente zu den Prozessoren, notwendig. Bei dem hier beschriebenen Ansatz werden nun im Gegensatz zu den {\"u}blichen Verfahren erst die Eingangsdaten f{\"u}r den Netzgenerator umgewandelt und dann das Elementnetz direkt auf dem Parallelrecher gleichzeitig auf allen Prozessoren erzeugt. Eine Aufteilung der Elemente auf die Prozessoren entsteht als Nebenprodukt der Netzaufteilung. Die entstehenden Teilgebietsgrenzen werden geometrisch minimiert. Die Lastbalance der Netzaufteilung sowie der FE-Rechnung wird durch ein ann{\"a}hernd gleiche Anzahl der Elemente je Partition gew{\"a}hrleistet. Als Eingabedaten wird eine Beschreibung des Gebietes durch Polygonz{\"u}ge, sowie einer Netzdichtefunktion, z.B. durch Punkte mit Angaben {\"u}ber die angestrebte Elementgr{\"o}ße, ben{\"o}tigt.},
  subject      = {Finite-Elemente-Methode},
  language  = {de}
}
@article{LegatiukWeiszPatrault,
  author    = {Legatiuk, Dmitrii and Weisz-Patrault, Daniel},
  title     = {Coupling of Complex Function Theory and Finite Element Method for Crack Propagation Through Energetic Formulation: Conformal Mapping Approach and Reduction to a Riemann-Hilbert Problem},
  series = {Computational Methods and Function Theory},
  volume    = {2021},
  journal   = {Computational Methods and Function Theory},
  publisher = {Springer},
  address   = {Heidelberg},
  doi       = {10.1007/s40315-021-00403-7},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20210805-44763},
  pages     = {1 -- 23},
  abstract  = {In this paper we present a theoretical background for a coupled analytical-numerical approach to model a crack propagation process in two-dimensional bounded domains. The goal of the coupled analytical-numerical approach is to obtain the correct solution behaviour near the crack tip by help of the analytical solution constructed by using tools of complex function theory and couple it continuously with the finite element solution in the region far from the singularity. In this way, crack propagation could be modelled without using remeshing. Possible directions of crack growth can be calculated through the minimization of the total energy composed of the potential energy and the dissipated energy based on the energy release rate. Within this setting, an analytical solution of a mixed boundary value problem based on complex analysis and conformal mapping techniques is presented in a circular region containing an arbitrary crack path. More precisely, the linear elastic problem is transformed into a Riemann-Hilbert problem in the unit disk for holomorphic functions. Utilising advantages of the analytical solution in the region near the crack tip, the total energy could be evaluated within short computation times for various crack kink angles and lengths leading to a potentially efficient way of computing the minimization procedure. To this end, the paper presents a general strategy of the new coupled approach for crack propagation modelling. Additionally, we also discuss obstacles in the way of practical realisation of this strategy.},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{LeeLee2004,
  author    = {Lee, Kangkun and Lee, Kijang},
  title     = {Additional bending moment for shear-lag phenomenon in tube structures},
  doi       = {10.25643/bauhaus-universitaet.247},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20111215-2472},
  year      = {2004},
  abstract  = {Framed-tube system with multiple internal tubes is analysed using an orthotropic box beam analogy approach in which each tube is individually modelled by a box beam that accounts for the flexural and shear deformations, as well as the shear-lag effects. A simple numerical modeling technique is proposed for estimating the shear-lag phenomenon in tube structures with multiple internal tubes. The proposed method idealizes the framed-tube structures with multiple internal tubes as equivalent multiple tubes, each composed of four equivalent orthotropic plate panels. The numerical analysis is based on the minimum potential energy principle in conjunction with the variational approach. The shear-lag phenomenon of such structures is studied taking into account the additional bending moments in the tubes. A detailed work is carried out through the numerical analysis of the additional bending moment. The moment factor is further introduced to identify the shear lag phenomenon along with the additional moment.},
  subject      = {Finite-Elemente-Methode},
  language  = {en}
}
@article{Lahmer,
  author    = {Lahmer, Tom},
  title     = {FEM-Based determination of real and complex elastic, dielectric, and piezoelectric moduli in piezoceramic materials},
  series = {IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control},
  journal   = {IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control},
  doi       = {10.25643/bauhaus-universitaet.3608},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20171030-36083},
  abstract  = {We propose an enhanced iterative scheme for the precise reconstruction of piezoelectric material parameters from electric impedance and mechanical displacement measurements. It is based on finite-element simulations of the full three-dimensional piezoelectric equations, combined with an inexact Newton or nonlinear Landweber iterative inversion scheme. We apply our method to two piezoelectric materials and test its performance. For the first material, the manufacturer provides a full data set; for the second one, no material data set is available. For both cases, our inverse scheme, using electric impedance measurements as input data, performs well.},
  subject      = {Finite-Elemente-Methode},
  language  = {en}
}
@article{KwakKim2004,
  author    = {Kwak, Hyo-Gyoung and Kim, Jin-Kook},
  title     = {Efficient Shoring System in RC Frame Structures},
  doi       = {10.25643/bauhaus-universitaet.251},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20111215-2511},
  year      = {2004},
  abstract  = {In this paper, systematic analyses for the shoring systems installed to support the applied loads during construction are performed on the basis of the numerical approach. On the basis of a rigorous time-dependent analysis, structural behaviors of reinforced concrete (RC) frame structures according to the changes in design variables such as the types of shoring systems, shore stiffness and shore spacing are analyzed and discussed. The time-dependent deformations of concrete such as creep and shrinkage and construction sequences of frame structures are also taken into account to minimize the structural instability and to reach to an improved design of shoring system because these effects may increase the axial forces delivered to the shores. In advance, the influence of the column shortening effect, generally mentioned in a tall building structure, is analyzed. From many parametric studies, it has been finally concluded that the most effective shoring system in RC frame structures is 2S1R (two shores and one reshore) regardless of the changes in design variables.},
  subject      = {Finite-Elemente-Methode},
  language  = {en}
}
@article{KrausCrişanWittor,
  author    = {Kraus, Matthias and Cri{\c{s}}an, Nicolae-Andrei and Wittor, Bj{\"o}rn},
  title     = {Stability Study of Cantilever-Beams - Numerical Analysis and Analytical Calculation (LTB)},
  series = {ce/papers},
  volume    = {2021},
  journal   = {ce/papers},
  number    = {Volume 4, issue 2-4},
  publisher = {Ernst \& Sohn, a Wiley brand},
  address   = {Berlin},
  doi       = {10.1002/cepa.1539},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20220112-45637},
  pages     = {2199 -- 2206},
  abstract  = {According to Eurocode, the computation of bending strength for steel cantilever beams is a straightforward process. The approach is based on an Ayrton-Perry formula adaptation of buckling curves for steel members in compression, which involves the computation of an elastic critical buckling load for considering the instability. NCCI documents offer a simplified formula to determine the critical bending moment for cantilevers beams with symmetric cross-section. Besides the NCCI recommendations, other approaches, e.g. research literature or Finite-Element-Analysis, may be employed to determine critical buckling loads. However, in certain cases they render different results. Present paper summarizes and compares the abovementioned analytical and numerical approaches for determining critical loads and it exemplarily analyses corresponding cantilever beam capacities using numerical approaches based on plastic zones theory (GMNIA).},
  subject      = {Tr{\"a}ger},
  language  = {en}
}
@article{KeJianMing2004,
  author    = {Ke, Chen and Jian Ming, Lu},
  title     = {Study of Analysis System for Bridge Test},
  doi       = {10.25643/bauhaus-universitaet.254},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20111215-2547},
  year      = {2004},
  abstract  = {Analysis System for Bridge Test (Chinese name abbr.: QLJC) is an application software specially designed for bridge test to analyze the static and dynamic character of bridge structures, calculate efficiency ratio of load test, pick up the results of observation points and so on. In this paper, research content, system design, calculation theory, characteristics and practical application of QLJC is introduced in detail.},
  subject      = {Finite-Elemente-Methode},
  language  = {en}
}
@article{KashiyamaHamadaTaniguchi2004,
  author    = {Kashiyama, Kazuo and Hamada, Hidetaka and Taniguchi, Takeo},
  title     = {Large Scale Finite Element Simulation and Modeling Using GIS/CAD for Environmental Flows in Urban Area},
  doi       = {10.25643/bauhaus-universitaet.267},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20111215-2675},
  year      = {2004},
  abstract  = {A large-scale computer modeling and simulation method is presented for environmental flows in urban area. Several GIS and CAD data were used for the preparation of shape model and an automatic mesh generation method based on Delaunay method was developed. Parallel finite element method based on domain decomposition method was employed for the numerical simulation of natural phenomena. The present method was applied to the simulation of flood flow and wind flow in urban area. The present method is shown to be a useful planning and design tool for the natural disasters and the change of environments.},
  subject      = {Geoinformationssystem},
  language  = {en}
}