Topology optimization of microstructures of cellular materials and composites for macrostructures

By Xiaodong Huang, Shiwei Zhou, Yi Min Xie, Qing Li. 2013

188 citations recorded by the source corpus.

This paper introduces a topology optimization algorithm for the optimal design of cellular materials and composites with periodic microstructures so that the resulting macrostructure has the maximum stiffness (or minimum mean compliance). The effective properties of the heterogeneous material are obtained through the homogenization theory, and these properties are integrated into the analysis of the macrostructure. The sensitivity analysis for the material unit cell is established for such a two-scale optimization problem. Then, a bi-directional evolutionary structural optimization (BESO) approach is developed to achieve a clear and optimized topology for the material microstructure. Several numerical examples are presented to validate the proposed optimization algorithm and a variety of anisotropic microstructures of cellular materials and composites are obtained. The various effects on the topological design of the material microstructure are discussed.

Subfields: Civil and Structural Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/0eccc30f6590e346f3fd7be25e7148c107c68089

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In Civil and Structural Engineering

In Mechanics of Materials

Citations in the corpus

Current and future trends in topology optimization for additive manufacturing (2018, background): “Both homogeneous (Wang et al. 2016b; Huang et al. 2013a; Niu et al. 2009; Guo et al. 2015; Deng et al. 2013; Fujii et al. 2001; Zhang and Sun 2006; Liu et al. 2008) and heterogeneous (Coelho et al. 2008, 2011; Rodrigues et al. 2002; Xia and Breitkopf 2014, 2015; Wang et al. 2017c; Sivapuram et al.…”
Multiscale structural topology optimization with an approximate constitutive model for local material microstructure (2015, unknown): “A usual strategy applied to bridge the two scales is designing an universal material microstructure either for a fixed [3] or concurrently changed [4] structure at the macroscopic scale.”
Bi-directional Evolutionary Structural Optimization on Advanced Structures and Materials: A Comprehensive Review (2016, methodology): “[62] extended the BESO method for the optimal design of the underlying material microstructures with the design objective of maximizing the macroscopic structural stiffness.”
A survey of structural and multidisciplinary continuum topology optimization: post 2000 (2014, methodology): “A number recent works have investigated BESO methods for topology optimization of material microstructures (Yang et al. 2013; Huang et al. 2013; Zuo et al. 2013).”
Concurrent topology optimization of structures and their composite microstructures (2014, methodology): “[19] formulated a two-scale topology optimization problem and directly designed the microstructures of cellular materials and composites for given shapes of macrostructures using the BESO method.”