A novel topology optimization method for periodical cellular materials

Abstract eng:
The design of periodic microstructural composite materials to attain specific properties has been carried out by a new combination method of the parametric level set method (PLSM) and the energy-based homogenization method (EBHM) in this article. The PLSM is utilized to determine microstructural architecture of the representative volume element (RVE) in composites. And its objective function is defined by the EBHM which is employed to predict specific material properties. The key characteristic of the PLSM is that the implicit level set function is interpolated by a series of compactly support radial basis functions (CSRBF). Besides, the EBHM eliminates the bound of macro structure and material microstructure design based on the energy principle and has an easier numerical implementation compared with the numerical homogenization method. Finally, some optimal microstructures are achieved by the proposed method, and which validate the design capability and favourable features compared with the other design method.

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