Two-dimensional adaptive mesh generation

2007 ◽  
Vol 54 (11) ◽  
pp. 1327-1350 ◽  
Author(s):  
Yaoxin Zhang ◽  
Yafei Jia ◽  
Sam S. Y. Wang
Keyword(s):  
Mesh Generation ◽  
Adaptive Mesh ◽  
Two Dimensional ◽  
Adaptive Mesh Generation

Adaptive Mesh Generation for Finite Element Analysis of Functionally Graded Materials

2005 ◽  
Author(s):  
Ki-Hoon Shin
Keyword(s):  
Finite Element ◽  
Mesh Generation ◽  
Adaptive Mesh ◽  
Functionally Graded ◽  
Two Dimensional ◽  
Element Analysis ◽  
Graded Materials ◽  
Generation Algorithm ◽  
Adaptive Mesh Generation ◽  
Heterogeneous Objects

Finite Element Analysis (FEA) is an important step for the design of structures or components formed by heterogeneous objects such as multi-material objects, Functionally Graded Materials (FGMs), etc. The main objective of the FEA-based design of heterogeneous objects is to simultaneously optimize both geometric shapes and material distributions over the design domain (e.g., Homogenization Design Method). However, the accuracy of the FEA-based design wholly depends on the quality of the finite element models generated. Therefore, there exists an increasing need for developing a new mesh generation algorithm adaptive to both geometric complexity and material distributions. In this paper, a two-dimensional adaptive mesh generation algorithm is proposed based on the discretization by which continuous material variation inside an object is converted into step-wise variation. The proposed algorithm first creates nodes on the iso-material contours of the discretized solid models. Triangular meshes are then generated inside each iso-material region formed by iso-material contours. Current implementation considers two-dimensional problems and thus needs to be extended to include three-dimensional problems in the near future.

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