Finite Element Mesh Generation of Planar Surfaces Using an Interactive Node Point Placement Technique

1985 ◽  
Vol 107 (3) ◽  
pp. 326-333 ◽  
Author(s):  
P. S. Rusnock ◽  
R. J. Cipra

A method is presented for interactively generating finite element meshes for two-dimensional surfaces. The technique is implemented on a graphics display device and will allow the user to create and alter finite element meshes. Given the object shape, the nodes comprising the mesh automatically distribute themselves over the surface as a result of their interaction with neighboring particles and the boundary. They seek equipotential locations, which can be further modified interactively by the user. Based upon these nodal locations, triangular or quadrilateral elements are generated automatically.

1998 ◽  
Vol 120 (4) ◽  
pp. 728-735 ◽  
Author(s):  
S.-S. Liu ◽  
R. Gadh

Manufacturability analysis of product design reduces the downstream problems of manufacturing. Such design approaches are referred to as Virtual Prototyping when performed on the computer. In the present research, Virtual Prototyping is facilitated by the use of an automated method of determining the finite element meshes needed to perform finite element analyses. Finite element analysis requires a finite element mesh of the product model as input. This mesh (an approximation of an object’s geometry and topology, composed in terms of a given individual unit, e.g., a tetrahedron, or a hexahedron), can be generated using a variety of methods. The research presented here offers an approach for automatic mesh generation that addresses some of the limitations in the mesh-generation technologies currently available. This article presents an approach for automatically generating hexahedral meshes from solid models. The mesh generating method presented in this paper involves four major steps. First, objects called Basic LOgical Bulk shapes (BLOBs) are determined from the solid model of a given part. Second, these BLOBs are used to decompose the solid model into its various sub-volumes. Third, a multiple-block structure (MBS), which is a group of hexahedral objects, is constructed to approximate the solid model. Finally, transfinite mapping is employed to project the faces of the MBS onto the surfaces of a model to generate the finite element meshes.


Author(s):  
J. Rodriguez ◽  
M. Him

Abstract This paper presents a finite element mesh generation algorithm (PREPAT) designed to automatically discretize two-dimensional domains. The mesh generation algorithm is a mapping scheme which creates a uniform isoparametric FE model based on a pre-partitioned domain of the component. The proposed algorithm provides a faster and more accurate tool in the pre-processing phase of a Finite Element Analysis (FEA). A primary goal of the developed mesh generator is to create a finite element model requiring only essential input from the analyst. As a result, the generator code utilizes only a sketch, based on geometric primitives, and information relating to loading/boundary conditions. These conditions represents the constraints that are propagated throughout the model and the available finite elements are uniformly mapped in the resulting sub-domains. Relative advantages and limitations of the mesh generator are discussed. Examples are presented to illustrate the accuracy, efficiency and applicability of PREPAT.


2018 ◽  
Vol 21 (5) ◽  
pp. 408-412 ◽  
Author(s):  
Nolwenn Fougeron ◽  
Pierre-Yves Rohan ◽  
Aurélien Macron ◽  
Christophe Travert ◽  
Hélène Pillet ◽  
...  

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