@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{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{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 }, 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{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} }