Journal
COMPUTATIONAL MATERIALS SCIENCE
Volume 50, Issue 6, Pages 1861-1870Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.commatsci.2011.01.030
Keywords
Topology optimization; Homogenization; Cellular material; Bidirectional evolutionary structural optimization (BESO); Bulk modulus; Shear modulus
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Funding
- Australian Research Council [DP1094403]
- Australian Research Council [DP1094403] Funding Source: Australian Research Council
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This paper presents a new approach to designing periodic microstructures of cellular materials. The method is based on the bidirectional evolutionary structural optimization (BESO) technique. The optimization problem is formulated as finding a micro-structural topology with the maximum bulk or shear modulus under a prescribed volume constraint. Using the homogenization theory and finite element analysis within a periodic base cell (PBC), elemental sensitivity numbers are established for gradually removing and adding elements in PBC. Numerical examples in 2D and 3D demonstrate the effectiveness of the proposed method for achieving convergent microstructures of cellular materials with maximum bulk or shear modulus. Some interesting topological patterns have been found for guiding the cellular material design. (C) 2011 Elsevier B.V. All rights reserved.
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