Theory of inverse problems for crack bridging stresses determination

Nazmul, I. M.; Matsumoto, T.

International Journal of Solids and Structures, 2012, 49(1), 191-196

Permalink : https://hdl.handle.net/2115/47986

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アクセス権
open access
URI
https://hdl.handle.net/2115/47986
タイトル
Theory of inverse problems for crack bridging stresses determination
著者
著者名
Nazmul, I. M.
著者名
Matsumoto, T.
言語
英語
キーワード
Crack opening displacements
Coordinate representation of vectors
Matrix of a transformation
Inverse problem
Crack bridging stresses
発行日
2012-01
出版者
Elsevier
収録物名
International Journal of Solids and Structures
巻(号)
49(1)
ページ
191-196
抄録
A new mathematical procedure has been proposed for the determination of crack bridging stresses from perturbed crack opening displacements (COD) in fiber composites. The problem is an ill-posed inverse problem and the proposed procedure exploited concepts from functional analysis and the theory of inverse problems. The transformation from crack bridging stress into COD has been linearized, where the continuous crack bridging stresses functions of infinite dimensional vector spaces were approximated into finite dimensional subspaces. The coordinate representation of functions and the matrix of the transformation facilitated a numerical solution to the inverse problem. Self consistent direct and inverse problems were solved numerically in context to an example. Results establish that the proposed mathematical procedure produces fairly accurate results for engineering application.
資源タイプ
学術雑誌論文
出版タイプ
Accepted Manuscript
PISSN
0020-7683
関連情報 (isVersionOf)
出版社版DOI
https://doi.org/10.1016/j.ijsolstr.2011.09.023