h-Adaptive Extended Finite Element Method for Structural Optimization
نویسندگان
چکیده
1. Abstract This paper introduces h-Adaptive eXtended Finite Element Method (X-FEM) which is used for level set based structural optimization. Compared to X-FEM with uniform meshes, meshes of h-adaptive X-FEM are adequately adjusted so that meshes of higher resolution at the vicinity of the structural boundaries while meshes of relatively lower resolution in the regions far away from boundaries are adopted to improve the efficiency on the one hand and make sure the accuracy on the other hand. Elements with hanging nodes are produced while generating adaptive meshes which is restrained to 1-irregular meshes. The hanging nodes are treated with degrees of freedoms (DOFs) by modifying shape functions of elements. In addition, the imposition of boundary conditions including Neumann and Dirichlet boundary conditions are investigated. Numerical examples are conducted to verify the proposed X-FEM for structural optimization. 2.
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