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http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/1292| Title: | 檢測有殘餘應力的彈性物體中內含物大小 Detecting an Inclusion in an Elastic Body with Residual Stress |
| Authors: | Chia-Hung Lin 林嘉宏 |
| Advisor: | 王振男(Jenn_Nan Wang) |
| Keyword: | 反問題,檢測內在異質物體,彈性系統,殘餘應力,卡爾曼估計,三球不等式,利普希茨之小的傳播, Inverse Problem,Detecting inclusions,Elasticity system,Residual stress,Carleman estimate,Three-Sphere inequality,Lipschitz propagation of smallness, |
| Publication Year : | 2018 |
| Degree: | 博士 |
| Abstract: | 我們考慮估計內含物大小(D)的反問題，在有殘餘應力的彈性系統中(Ω,D⊂Ω)，由於存在殘餘應力，所以該彈性系統的結構方程式不是各方向同性的，我們證明，透過量測Ω邊界之應力與位移量，可得內含物尺寸上下界的估計。 We only consider the inverse problem for estimating the size of an inclusion D, D⊂Ω, in an elastic body with residual stress. The constitutive equation of this elasticity system is not isotropic, due to the presence of residual stresses. We prove that the size of the inclusion can be estimated both from above and below by using only one pair of traction-displacement measurement on the boundary of Omega. |
| URI: | http://tdr.lib.ntu.edu.tw/handle/123456789/1292 |
| DOI: | 10.6342/NTU201804025 |
| Fulltext Rights: | 同意授權(全球公開) |
| Appears in Collections: | 數學系 |
Files in This Item:
| File | Size | Format | |
|---|---|---|---|
| ntu-107-1.pdf | 816.6 kB | Adobe PDF | View/Open |
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