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  • 1
    Digitale Medien
    Digitale Medien
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 37 (1994), S. 2841-2855 
    ISSN: 0029-5981
    Schlagwort(e): Engineering ; Engineering General
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Mathematik , Technik allgemein
    Notizen: The new method presented here is capable of building finite element meshes and managing their adaptation simultaneously to the object load case and geometry before any calculations, i.e. an a priori mesh adaptation is conducted. The principle relies on an analogy between a finite element mesh and the equilibrium position of a network of branches. Each branch is adequately sized by setting force-length ratios, called force densities. Starting from these data, the nodal co-ordinates are obtained through the solution of a linear system which describes the equilibrium state of the net. This method seems very attractive since the only given data are: a connectivity table, the number of boundary and interior nodes and a geometrical description of the boundaries.It is also demonstrated how to obtain the equilibrium nodal positions when boundary nodes are allowed to slide and evolution laws of force densities cope with punctual forces and geometric singularities. A comparison of results is conducted between meshes issued by the new technique and those obtained with standard FE codes.
    Zusätzliches Material: 13 Ill.
    Materialart: Digitale Medien
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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  • 2
    Digitale Medien
    Digitale Medien
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 38 (1995), S. 3121-3142 
    ISSN: 0029-5981
    Schlagwort(e): computer aided design ; non-uniform rational B-spline ; Bézier ; restricted patches ; multi-connected surfaces ; node re-positioning ; mesh control ; adaptation ; free-form surface mesh ; force density ; network of bars ; Engineering ; Engineering General
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Mathematik , Technik allgemein
    Notizen: An adaptive process controlling the position of nodes on a surface mesh is presented. The control can depend on one (or more) criterion(ria) about element quality. The mesh is attached, through the concept of classification, to a geometric model issued by a computer aided design software. Thus, the surface domain is described by entities currently available in such systems, i.e. any free-form patches like Non-Uniform Rational B-Spline or Bézier patches can be used, even if they are restricted. Multi-connected surface domains can be treated using the same geometrical definition. The method described allows nodes to slide on a patch or jump from a patch onto another one. Such movements greatly improve the mesh quality with regard to a chosen criterion. Problems occurring with patch-by-patch meshing techniques when surfaces patches exhibit significant size differences are then overcome. The adaptation technique can be made independent of CAD data structures and meshing techniques, hence it constitutes the basis of a mesh management module.
    Zusätzliches Material: 15 Ill.
    Materialart: Digitale Medien
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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