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Finite element mesh generation in non-manifold geometries

Posted on:2003-05-02Degree:Ph.DType:Dissertation
University:Lehigh UniversityCandidate:Nart, ErgunFull Text:PDF
GTID:1468390011480688Subject:Engineering
Abstract/Summary:
In this study, a mesh generation process for non-manifold geometries has been developed. The procedure has been implemented in three phases. The first phase is the representation of the non-manifold topology. For this purpose, a special version of a radial edge structure has been constructed by gathering the connectivity information among the topological elements.; During the second phase, the special Boolean operations for Non-manifold Geometries (NMG) have been constructed. This has been accomplished by employing the curve-surface and surface-surface intersection processes, followed by classification of the resulting points and curves with respect to the specified geometric operations.; Having the necessary geometric information prepared, the last phase of the process is to employ a mesh generation task on non-manifold geometry. This is done by first generating nodes on the boundaries, and then by generating nodes inside boundaries.; Delaunay Triangulation with incremental node insertion method has been primarily used since it allows constrained nodes to be used in every stage of the mesh generation process. The method also tends to create triangles and tetrahedrons with less distortion.; A newly developed Boolean operation of subtraction type has also been implemented for generating non-manifold geometries. This is a unique tool for fracture mechanics for various type of analysis, such as stress distribution analysis at crack tips and crack propagation estimations.
Keywords/Search Tags:Mesh generation, Non-manifold geometries
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