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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Rock mechanics and rock engineering 5 (1973), S. 65-76 
    ISSN: 1434-453X
    Keywords: Finite elements ; ground freezing ; latent heat ; Finite Elemente ; Bodengefrierung ; latente Wärme ; Elément fini ; congélation du sol ; chaleur latente
    Source: Springer Online Journal Archives 1860-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
    Description / Table of Contents: Zusammenfassung Die Anwendung endlicher Elemente auf Wärmeleitprobleme im Zusammenhang mit latenter Wärme Zur Lösung von Wärmeleitproblemen im Zusammenhang mit latenter Wärme ist eine Finite-Element-Methode entwickelt worden. Diese Methode ist allen wohlbekannten Lösungsversuchen insofern überlegen, als sie die Behandlung einer größeren Vielfalt von Werkstoffeigenschaften sowie Grenzbedingungen gestattet, wie sie in komplexen technischen Aufgaben, z. B. der Bodengefrierung, auftreten. In dieser Abhandlung wird die Methode auf einfache dreieckige begrenzte Elemente angewendet, obwohl sie auch auf andere Elementtypen, einschließlich dreidimensionaler Elemente, ausgedehnt werden könnte. Mehrere Problemstellungen werden anhand von Beispielen erörtert und näher erläutert; ferner werden Vergleiche mit anderen Lösungsversuchen angestellt, bei denen sich diese ebenfalls verwenden lassen.
    Abstract: Résumé L'application des éléments finis aux problèmes de conduction de chaleur dans lesquels entre en jeu la chaleur latente Une méthode par éléments finis est mise au point pour la solution des problèmes de conduction de chaleur dans lesquels entre en jeu la chaleur latente. Elle est supérieure à d'autres méthodes bien connues pour aborder ces problèmes du fait qu'elle permet de tenir compte d'un plus grand nombre de propriétés du matériau et de conditions aux limites, telles qu'elles se présentent dans les opérations complexes de génie civil comme la congélation du sol. La méthode est appliquée dans cet exposé à de simples éléments triangulaires finis, mais elle peut s'appliquer également à d'autres types d'éléments y compris ceux à trois dimensions. Plusieurs problèmes y sont discutés et illustrés en qualité d'exemples, on y fait des comparaisons avec d'autres méthodes quand celles-ci peuvent être mises en oeuvre.
    Notes: Summary The Application of Finite Elements to Heat Conduction Problems Involving Latent Heat A finite element method is developed for the solution of heat conduction problems which involve latent heat. The method is superior to other wellknown approaches to these problems in that it allows a wider range of material properties and boundary conditions to be dealt with, such as are encountered in complex engineering operations like ground freezing. The method is applied to simple triangular finite elements in this paper, although it could be extended to other types of element including three-dimensional ones. Several example problems are discussed and illustrated, and comparisons are made with other approaches where these can also be used.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Computational mechanics 17 (1995), S. 98-106 
    ISSN: 1432-0924
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract Two approaches have been used in finite element studies of discontinuities (shocks) in fluid mechanics. These are discontinuity capture using suitable mesh adaptivity and discontinuity fitting by introduction of discontinuous shape functions in the formulation. Both procedures have been now used successfully in solid mechanics, but the paper discusses the particular advantages of the adaptive process. The causes of discontinuity in plastic failure are reviewed and differences from the analogous fluid mechanics problems are discussed.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Computational mechanics 17 (1995), S. 98-106 
    ISSN: 1432-0924
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract  Two approaches have been used in finite element studies of discontinuities (shocks) in fluid mechanics. These are discontinuity capture using suitable mesh adaptivity and discontinuity fitting by introduction of discontinuous shape functions in the formulation. Both procedures have been now used successfully in solid mechanics, but the paper discusses the particular advantages of the adaptive process. The causes of discontinuity in plastic failure are reviewed and differences from the analogous fluid mechanics problems are discussed.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    Computational mechanics 22 (1998), S. 266-280 
    ISSN: 1432-0924
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract Dynamic strain localisation theory together with a multiphase material model is used to simulate shear band dominated processes in fully saturated sand samples. The fluid-saturated medium is viewed as multi-phase continuum consisting of a solid skeleton and pores filled by fluids. The governing equations are based on the general framework of averaging theories. A generalised plasticity constitutive model for fully saturated soils is adopted in the computational process. Both samples of medium-loose and dense sands are studied. Negative water pressures, which are important in localisation phenomena of fully saturated dilatant geomaterials, are obtained for dense sands, while positive water pressures result for medium-loose sands.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    Springer
    Computational mechanics 6 (1990), S. 259-270 
    ISSN: 1432-0924
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract An adaptive remeshing procedure for solving Navier-Stokes incompressible fluid flow problems is presented in this paper. This procedure has been implemented using the error estimator developed by Zienkiewicz and Zhu (1987, 1989) and a semi-implicit time-marching scheme for Navier-Stokes flow problems (Zienkiewicz et al. 1990). Numerical examples are presented, showing that the error estimation and adaptive procedure are capable of monitoring the flow field, updating the mesh when necessary, and providing nearly optimal meshes throughout the calculation, thus making the solution reliable and the computation economical and efficient.
    Type of Medium: Electronic Resource
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  • 6
    Electronic Resource
    Electronic Resource
    Springer
    Engineering with computers 5 (1989), S. 221-234 
    ISSN: 1435-5663
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Technology
    Notes: Abstract In this paper we introduce techniques that allow us to define a posteriori error estimators via well-known recovery techniques. These allow us to construct a posteriori error estimators for relatively general problems. Further, we introduce new adaptive procedures that make use of these estimators and, in particular, describe anh-p procedure that is simple to implement and that, as numerical experiments have shown, attains an accelerated rate of convergence expected from theh-p version.
    Type of Medium: Electronic Resource
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  • 7
    Electronic Resource
    Electronic Resource
    Springer
    Archive of applied mechanics 61 (1991), S. 30-39 
    ISSN: 1432-0681
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Description / Table of Contents: Übersicht Das Versagen von Erdbauwerken oder Bodenproben im Labor ist oft durch die Existenz von Flächen mit lokalisierter Deformation gekennzeichnet. Zahlreiche Forschungsgruppen haben sich in den letzten Jahren mit der numerischen Simulation der Scherfugen-Bildung beschäftigt. Zur Verbesserung der Simulation von Scherfugen-Lokalisierung bei bodenmechanischen Problemen wird in diesem Beitrag eine adaptive Netzverfeinerung vorgeschlagen. Dieser Weg wurde schon früher in der Dynamik kompressibler Flüssigkeiten beschritten, um Unstetigkeiten wie Schockfronten zu erfassen. Als Kriterium für die Verfeinerung des Netzes wird in diesem Beitrag ein neues Funktional benutzt. Schließlich wird der Algorithmus auf den Beginn und die Weiterentwicklung von Scherfugen bei homogenen und inhomogenen Spannung zuständen angewandt.
    Notes: Summary Failure of earth structures or laboratory specimens of soils is often characterized by the existence of bands or surfaces at which strain localizes. Numerical simulation of shear band development has attracted the attention of many research groups during past years. Here it is proposed that adaptive remeshing techniques can be applied to better simulate strain localization problems in geotechnique. The algorithm has been previously applied to compressible fluid dynamics problems to capture discontinuities such as shocks. A new refinement functional has been introduced to improve quality of produced meshes. Finally, the algorithm is applied to solve inception and development of shear bands on both homogeneous stress fields and non-homogeneous stress fields.
    Type of Medium: Electronic Resource
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  • 8
    Electronic Resource
    Electronic Resource
    Springer
    Applied mathematics and mechanics 3 (1982), S. 303-318 
    ISSN: 1573-2754
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Mathematics , Physics
    Notes: Abstract In this brief note, we have (a) introduced a very general form of plasticity definition; (b) indicated several types of models used for monotonic and transient loading of soil-like materials, which do not depend on time effects. The details of each form are given elsewhere but we believe that the new framework provides an easier and more general interpretation of a variety of behaviour form.
    Type of Medium: Electronic Resource
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  • 9
    Electronic Resource
    Electronic Resource
    Springer
    Applied mathematics and mechanics 3 (1982), S. 457-468 
    ISSN: 1573-2754
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Mathematics , Physics
    Notes: Abstract This paper treats the soil and rock or concrete as a two-phase medium composed of a solid skeleton and an interstitial fluid. Under the unsaturated condition of interstitial fluid, the third phase is taken into consideration. In this paper, we consider the constitutive relation, dynamic and kinematic relations, and also various approximations with their limits of validity, including those of most practical engineering situations such as the consolidation problem and the undrained behaviour. The finite element discretization and the time dependent solution of various classes of soil problem are also discussed.
    Type of Medium: Electronic Resource
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  • 10
    Electronic Resource
    Electronic Resource
    Chichester : Wiley-Blackwell
    International Journal for Numerical Methods in Fluids 1 (1981), S. 81-97 
    ISSN: 0271-2091
    Keywords: Waves ; Mixed Finite Element ; Shallow Water ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: This paper presents new finite element formulations of the shallow-water wave equations which use different basis functions for the velocity and height fields. These arrangements are analysed with the Fourier transform technique which was developed by Schoenstadt,1 and they are also compared with other finite difference and finite element schemes. The new schemes are integrated in time for two initial states and compared with analytic solutions and numerical solutions from other schemes. The behaviour of the new forms is excellent and they are also convenient to apply in two dimensions with triangular elements.
    Additional Material: 11 Ill.
    Type of Medium: Electronic Resource
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