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论文类型：期刊论文

发表时间：2015-12-01

发表刊物：INTERNATIONAL JOURNAL OF APPLIED MECHANICS

收录刊物：SCIE、EI、Scopus

卷号：7

期号：6

ISSN号：1758-8251

关键字：Topology optimization; smoothed Galerkin weak form; node-based smoothed finite element method (NS-FEM)

摘要：The node-based smoothed finite element method (NS-FEM) proposed recently has shown very good properties in solid mechanics, such as providing much better gradient solutions. In this paper, the topology optimization design of the continuum structures under static load is formulated on the basis of NS-FEM. As the node-based smoothing domain is the sub-unit of assembling stiffness matrix in the NS-FEM, the relative density of node-based smoothing domains serves as design variables. In this formulation, the compliance minimization is considered as an objective function, and the topology optimization model is developed using the solid isotropic material with penalization (SIMP) interpolation scheme. The topology optimization problem is then solved by the optimality criteria (OC) method. Finally, the feasibility and efficiency of the proposed method are illustrated with both 2D and 3D examples that are widely used in the topology optimization design.