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Topology optimization of plane structures using smoothed particle hydrodynamics method
Authors:Jun Lin  Yanjin Guan  Guoqun Zhao  Hakim Naceur  Ping Lu
Affiliation:1. Key Laboratory for Liquid‐Solid Structural Evolution and Processing of Materials (Ministry of Education), Shandong University, Jinan, China;2. Lab. LAMIH UMR 8201, University of Valenciennes, Valenciennes, France;3. College of Mechanical Engineering and Automation, Huaqiao University, Xiamen, China
Abstract:This paper presents an alternative topology optimization method based on an efficient meshless smoothed particle hydrodynamics (SPH) algorithm. To currently calculate the objective compliance, the deficiencies in standard SPH method are eliminated by introducing corrective smoothed particle method and total Lagrangian formulation. The compliance is established relative to a designed density variable at each SPH particle which is updated by optimality criteria method. Topology optimization is realized by minimizing the compliance using a modified solid isotropic material with penalization approach. Some numerical examples of plane elastic structure are carried out and the results demonstrate the suitability and effectiveness of the proposed SPH method in the topology optimization problem. Copyright © 2016 John Wiley & Sons, Ltd.
Keywords:topology optimization  smoothed particle hydrodynamics  meshless method  solid isotropic material with penalization
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