Topological sensitivity of the objective function defined on morphing boundaries of two-dimensional heat conduction problems

G. Jing, H. Isakari, T. Matsumoto, T. Yamada, T. Takahashi

研究成果: Conference contribution

1 被引用数 (Scopus)

抄録

A topological sensitivity expression is presented for the objective function defined as a boundary integral of temperature and heat flux on the morphing boundaries which are newly generated during the topology optimization process. Since the objective function is defined by using only the boundary quantities, the boundary element method (BEM) is used for the heat conduction analyses of two-dimensional media. A level set-based topology optimization method is assumed to obtain the optimum shape in two-dimensional heat conduction problems. The shape of the domain being morphed during the updating process of optimization can be extracted from the iso-surface of the level set function. The distribution of the level set function is obtained by solving the evolution equation of the level set function defined over a fixed design domain. The derivative of the level set function with respect to fictitious time is assumed to be proportional to the topological sensitivity of the objective function. In this paper, the objective function is considered to be defined on the newly generated morphing boundaries in the optimization process. The topological sensitivity for this case is derived and is verified through a numerical demonstration.

本文言語English
ホスト出版物のタイトルWIT Transactions on Modelling and Simulation
編集者A.H-D. Cheng, Carlos A. Brebbia
出版社WITPress
ページ3-12
ページ数10
ISBN(電子版)9781845648961
DOI
出版ステータスPublished - 2014 9 8
外部発表はい
イベント37th Boundary Element Methods Conference, BEM 2014 - New Forest, United Kingdom
継続期間: 2014 9 82014 9 10

出版物シリーズ

名前WIT Transactions on Modelling and Simulation
57
ISSN(印刷版)1743-355X

Conference

Conference37th Boundary Element Methods Conference, BEM 2014
国/地域United Kingdom
CityNew Forest
Period14/9/814/9/10

ASJC Scopus subject areas

  • モデリングとシミュレーション
  • 計算数学

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