Medial surface generation using chordal axis transformation in shell structures

This paper describes the generation of chordal surfaces for various shell structures, such as automobile bodies, plastic injection mold components, and sheet metal parts. After a single-layered tetrahedral mesh is generated by the advancing front method, the chordal surface is generated by cutting the tetrahedral mesh. One or more shell elements are generated at each tetrahedral element, and the chordal surface is constructed with triangular or quadrilateral shell elements. This algorithm has been tested on several models with rib structures.

[1]  Arturo Cifuentes,et al.  A performance study of tetrahedral and hexahedral elements in 3-D finite element structural analysis , 1992 .

[2]  Klaus-Jürgen Bathe,et al.  On automatic mesh construction and mesh refinement in finite element analysis , 1989 .

[3]  Alla Sheffer,et al.  Hexahedral meshing of non-linear volumes using Voronoi faces and edges , 2000 .

[4]  Mark S. Shephard,et al.  Automatic three‐dimensional mesh generation by the finite octree technique , 1984 .

[5]  Peter Hansbo,et al.  On advancing front mesh generation in three dimensions , 1995 .

[6]  J. Urioste.  Hazardous waste systems analysis at Los Alamos National Laboratory , 1997 .

[7]  N. Weatherill,et al.  Efficient three‐dimensional Delaunay triangulation with automatic point creation and imposed boundary constraints , 1994 .

[8]  Shu-Yen Wan,et al.  A medial-surface oriented 3-d two-subfield thinning algorithm , 2001, Pattern Recognit. Lett..

[9]  Gábor Lukács,et al.  Pocket machining based on contour-parallel tool paths generated by means of proximity maps , 1994, Comput. Aided Des..

[10]  Cecil G. Armstrong,et al.  Adaptive Curvature-Sensitive Meshing of the Medial Axis , 2001, IMR.

[11]  K. Anastasiou,et al.  AN AUTOMATIC TETRAHEDRAL MESH GENERATION SCHEME BY THE ADVANCING FRONT METHOD , 1997 .

[12]  Peter Sampl.  Semi-Structured Mesh Generation Based on Medial Axis , 2000, IMR.

[13]  Kálmán Palágyi,et al.  A 3-subiteration 3D thinning algorithm for extracting medial surfaces , 2002, Pattern Recognit. Lett..

[14]  R. Brubaker.  Models for the perception of speech and visual form: Weiant Wathen-Dunn, ed.: Cambridge, Mass., The M.I.T. Press, I–X, 470 pages , 1968 .

[15]  Kenji Shimada,et al.  Quad-Layer: Layered Quadrilateral Meshing of Narrow Two-Dimensional Domains by Bubble Packing and Chordal Axis Transformation , 2002 .

[16]  Cecil Armstrong,et al.  Hexahedral meshing using midpoint subdivision and integer programming. , 1995 .

[17]  Stephen Bridgett,et al.  Dimensional Reduction of Analysis Models , 2006 .

[18]  Stefan Gumhold,et al.  Generalization of the Kantorovich Method of Dimensional Reduction , 2003, IMR.

[19]  M. Price,et al.  Hexahedral Mesh Generation by Medial Surface Subdivision: Part II. Solids with Flat and Concave Edges , 1997 .

[20]  P. George,et al.  OPTIMAL DELAUNAY POINT INSERTION , 1996 .

[21]  Fritz B. Prinz,et al.  LayTracks: A New Approach To Automated Quadrilateral Mesh Generation using MAT , 2000, IMR.

[22]  Kenji Shimada,et al.  Hex-Layer: Layered All-Hex Mesh Generation on Thin Section Solids via Chordal Surface Transformation , 2002, IMR.