Evolution of a crack with kink and non-penetration
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- Khludnev Alexander M.
- Lavrent'ev Institute of Hydrodynamics
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- Kovtunenko Victor A.
- Institute for Mathematics, Karl-Franzens-University of Graz
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- Tani Atusi
- Department of Mathematics, Keio University
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Abstract
The nonlinear evolution problem for a crack with a kink in elastic body is considered. This nonlinear formulation accounts the condition of mutual non-penetration between the crack faces. The kinking crack is presented with the help of two unknown shape parameters of the kink angle and of the crack length, which minimize an energy due to the Griffith hypothesis. Based on the obtained results of the shape sensitivity analysis, solvability of the evolutionary minimization problem is proved, and the necessary conditions for the optimal crack are derived.
Journal
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- Journal of the Mathematical Society of Japan
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Journal of the Mathematical Society of Japan 60 (4), 1219-1253, 2008
The Mathematical Society of Japan
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Keywords
Details 詳細情報について
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- CRID
- 1390001205114711936
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- NII Article ID
- 10024905407
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- NII Book ID
- AA0070177X
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- ISSN
- 18811167
- 18812333
- 00255645
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- NDL BIB ID
- 9691717
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- Text Lang
- en
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- Data Source
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- JaLC
- NDL
- Crossref
- CiNii Articles
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- Abstract License Flag
- Disallowed