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Topology optimization of density type for a linear elastic body by using the second derivative of a KS function with respect to von Mises stress
http://hdl.handle.net/2237/00028800
http://hdl.handle.net/2237/0002880052766403-7071-4f46-a0dc-42c0bc3d3fd5
名前 / ファイル | ライセンス | アクション |
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main (2.1 MB)
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Item type | 学術雑誌論文 / Journal Article(1) | |||||
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公開日 | 2018-11-13 | |||||
タイトル | ||||||
タイトル | Topology optimization of density type for a linear elastic body by using the second derivative of a KS function with respect to von Mises stress | |||||
言語 | en | |||||
著者 |
Chancharoen, Wares
× Chancharoen, Wares× Azegami, Hideyuki |
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アクセス権 | ||||||
アクセス権 | open access | |||||
アクセス権URI | http://purl.org/coar/access_right/c_abf2 | |||||
権利 | ||||||
言語 | en | |||||
権利情報 | “This is a post-peer-review, pre-copyedit version of an article published in [Structural and Multidisciplinary Optimization]. The final authenticated version is available online at: http://dx.doi.org/10.1007/s00158-018-1937-z”. | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Topology optimization | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Stress concentration | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Kreisselmeier–Steinhauser function | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | H^1 gradient method | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | H^1 Newton method | |||||
抄録 | ||||||
内容記述 | This study demonstrates the use of Newton method to solve topology optimization problems of density type for linear elastic bodies to minimize the maximum von Mises stress. We use the Kreisselmeier–Steinhauser (KS) function with respect to von Mises stress as a cost function to avoid the non-differentiability of the maximum von Mises stress. For the design variable, we use a function defined in the domain of a linear elastic body with no restriction on the range and assume that a density is given by a sigmoid function of the function of design variable. The main aim of this study involves evaluating the second derivative of the KS function with respect to variation of the design variable and to propose an iterative scheme based on an H^1 Newton method as opposed to the H^1 gradient method that was presented in previous studies. The effectiveness of the scheme is demonstrated by numerical results for several linear elastic problems. The numerical results show that the speed of the proposed H^1 Newton method exceeds that of the H^1 gradient method. | |||||
言語 | en | |||||
内容記述タイプ | Abstract | |||||
内容記述 | ||||||
内容記述 | ファイル公開:2019/09/01 | |||||
言語 | ja | |||||
内容記述タイプ | Other | |||||
出版者 | ||||||
言語 | en | |||||
出版者 | Springer | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源タイプresource | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | journal article | |||||
出版タイプ | ||||||
出版タイプ | AM | |||||
出版タイプResource | http://purl.org/coar/version/c_ab4af688f83e57aa | |||||
DOI | ||||||
関連タイプ | isVersionOf | |||||
識別子タイプ | DOI | |||||
関連識別子 | https://doi.org/10.1007/s00158-018-1937-z | |||||
ISSN(print) | ||||||
収録物識別子タイプ | PISSN | |||||
収録物識別子 | 1615-147X | |||||
ISSN(Online) | ||||||
収録物識別子タイプ | EISSN | |||||
収録物識別子 | 1615-1488 | |||||
書誌情報 |
en : Structural and Multidisciplinary Optimization 巻 58, 号 3, p. 935-953, 発行日 2018-09 |
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著者版フラグ | ||||||
値 | author |