A phase-field based robust topology optimization method for phononic crystals design considering uncertain diffuse regions

Xiaopeng Zhang, Akihiro Takezawa*, Zhan Kang

*この研究の対応する著者

研究成果: Article査読

8 被引用数 (Scopus)

抄録

Uncertain manufacturing errors in fabricating phononic crystals (PnCs) may notably affect their band gap properties. One thus needs to consider uncertainties in the design and optimization of microstructures formed from the unit cell of a PnC. This study focuses on proposing a robust topology optimization method of PnC microstructures against random diffuse regions between material phases. The material distribution of the unit cell is performed using the phase-field method, which is able to simulate the motion and the uncertain width of the diffuse regions. A stochastic band-gap analysis is performed using the expansion optimal linear estimation method and the polynomial chaos expansion (PCE)-based framework. The objective function of the robust optimization formulation is taken as the weighted sum of the mean value and standard deviation of the specified band gap. With the sensitivities of the stochastic band gap obtained by the nonintrusive PCE method, the phase-field function is updated with the Allen–Cahn equation. Numerical examples show that the proposed method provides meaningful optimal designs of microstructures of the unit cell in achieving a robust band gap.

本文言語English
ページ(範囲)159-172
ページ数14
ジャーナルComputational Materials Science
160
DOI
出版ステータスPublished - 2019 4 1
外部発表はい

ASJC Scopus subject areas

  • コンピュータ サイエンス(全般)
  • 化学 (全般)
  • 材料科学(全般)
  • 材料力学
  • 物理学および天文学(全般)
  • 計算数学

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