An Improved Alternating Active-Phase Algorithm for Multi-Material Topology Optimization Problems

Cui, Mingtao; Chen, Hong Fang

doi:10.4028/www.scientific.net/amm.635-637.105

Cited by 3 publications

(1 citation statement)

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“…For a three-phase material design the rule of mixtures can be easily extended. Due to its simplicity, the SIMP method has been extensively used in multimaterial topology optimization [9][10][11]. The effective use of the SIMP-based methods requires regularization procedures such as filters, which are purely heuristic and very sensitive to changes.…”

Section: Introductionmentioning

confidence: 99%

Optimal Design of Nonlinear Multimaterial Structures for Crashworthiness Using Cluster Analysis

Liu

Detwiler

Tovar

2017

Journal of Mechanical Design

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This study presents an efficient multimaterial design optimization algorithm that is suitable for nonlinear structures. The proposed algorithm consists of three steps: conceptual design generation, clustering, and metamodel-based global optimization. The conceptual design is generated using a structural optimization algorithm for linear models or a heuristic design algorithm for nonlinear models. Then, the conceptual design is clustered into a predefined number of clusters (materials) using a machine learning algorithm. Finally, the global optimization problem aims to find the optimal material parameters of the clustered design using metamodels. The metamodels are built using sampling and cross-validation, and sequentially updated using an expected improvement function until convergence. The proposed methodology is demonstrated using examples from multiple physics and compared with traditional multimaterial topology optimization method. The proposed approach is applied to nonlinear, multi-objective design problems for crashworthiness.

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Section: Introductionmentioning

confidence: 99%