Size estimates for inclusions in an elastic plate by boundary measurements

被引:22
作者
Morassi, Antonino
Rosset, Edi
Vessella, Sergio
机构
[1] Univ Udine, Dipartimento Georisorse & Terr, I-33100 Udine, Italy
[2] Univ Trieste, Dipartimento Matemat & Informat, I-34100 Trieste, Italy
[3] Univ Florence, DIMAD, I-50134 Florence, Italy
关键词
inverse problems; elastic plates; three spheres inequalities; size estimates; unique continuation;
D O I
10.1512/iumj.2007.56.2975
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We consider the problem of determining, within an elastic isotropic thin plate, the possible presence of an inclusion made of a different elastic material. Under some a priori assumptions on the unknown inclusion, we prove constructive upper and lower estimates of the area of the unknown defect in terms of an easily expressed quantity related to work, which is given in terms of measurements of a couple field applied at the boundary and of the induced transversal displacement and its normal derivative taken at the boundary of the plate.
引用
收藏
页码:2325 / 2384
页数:60
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