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  1. コンテンツタイプ
  2. テクニカルレポート (Technical Report)
  1. 機関資料(JAXA, former ISAS, NAL, NASDA)
  2. 旧機関資料 (JAXA, former-ISAS, NAL, NASDA)
  3. 航空宇宙技術研究所(National Aeronautical Laboratory: NAL)
  4. NAL-TR

On the Convergence of the Finite Element Solution of a Nonlinear Crack Type Problem in Finite Elasticity

https://jaxa.repo.nii.ac.jp/records/45130
https://jaxa.repo.nii.ac.jp/records/45130
438139f3-16a6-4996-95cc-3b88159322bd
名前 / ファイル ライセンス アクション
naltr0872t.pdf naltr0872t.pdf (810.2 kB)
Item type テクニカルレポート / Technical Report(1)
公開日 2015-03-26
タイトル
言語 en
タイトル On the Convergence of the Finite Element Solution of a Nonlinear Crack Type Problem in Finite Elasticity
言語
言語 eng
資源タイプ
資源タイプ識別子 http://purl.org/coar/resource_type/c_18gh
資源タイプ technical report
著者 大竹, 邦彦

× 大竹, 邦彦

WEKO 473067

大竹, 邦彦

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OHTAKE, Kunihiko

× OHTAKE, Kunihiko

WEKO 473068

en OHTAKE, Kunihiko

Search repository
著者所属
航空宇宙技術研究所機体第一部
著者所属(英)
en
First Airframe Division, National Aerospace Laboratory(NAL)
出版者
出版者 航空宇宙技術研究所
出版者(英)
出版者 National Aerospace Laboratory(NAL)
書誌情報 en : Technical Report of National Aerospace Laboratory TR-872T

巻 872T, p. 13, 発行日 1985-08
抄録
内容記述タイプ Abstract
内容記述 高伸長弾性体中のクラック型の問題を考える。材料は等方性,非圧縮性で,大変形下で非線形構成関係を有する。この物体が体積力のもとでせん断変形をうける時,非線形境界値問題が導びかれる。この問題はクッラク状の先端部で,特異性のある解析解をもつ。この問題のガラーキン近似有限要素解の収束性につき,函数解析手法における重みつきソボレフ空間を導入して調べた結果,grad u ~ r-i/4の特異性に対し,収束率
抄録
内容記述タイプ Abstract
内容記述 u-Uh
抄録
内容記述タイプ Abstract
内容記述 1w2 ~ h1/4を得た。
抄録(英)
内容記述タイプ Other
内容記述 In this paper we consider the crack type problem in a hyperelastic body. The material is assumed to be isotropic, incompressible, and to have a special nonlinear constitutive equation under large deformation. This body is subjected to shear deformation under the action of body force. The problem leads to the nonlinear boundary value problem. The analytical solution of this problem exhibits the singularity at the crack tip. We investigate the convergence rate of the Galerkin approximation solution by introducing the weighted Sobolev space in functional analysis technique. The results show the convergence rate
抄録(英)
内容記述タイプ Other
内容記述 u-Uh
抄録(英)
内容記述タイプ Other
内容記述 1w2 ~ h1/4 for the singularity grad u ~ r-i/4.
ISSN
収録物識別子タイプ ISSN
収録物識別子 0389-4010
資料番号
内容記述タイプ Other
内容記述 資料番号: NALTR0872000
レポート番号
内容記述タイプ Other
内容記述 レポート番号: NAL TR-872T
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