Detecting an inclusion in an elastic body boundary measurements

被引：46

作者：

Alessandrini, G ^{[1
]}

Morassi, A

Rosset, E

机构：

[1] Univ Trieste, Dipartimento Sci Matemat, Trieste, Italy

[2] Univ Udine, Dipartimento Ingn Civile, I-33100 Udine, Italy

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2002年 / 33卷 / 06期

关键词：

inverse boundary problem; elasticity; size estimates; strong unique continuation;

D O I：

10.1137/S0036141001388944

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the problem of determining, within an elastic isotropic body Omega, the possible presence of an inclusion D made of different elastic material from boundary measurements of traction and displacement. We prove that the volume of D can be estimated, from above and below, by an easily expressed quantity related to work depending only on the boundary traction and displacement.

引用

页码：1247 / 1268

页数：22

共 31 条

[1]

Adams A, 2003, SOBOLEV SPACES

[2] ESTIMATES NEAR BOUNDARY FOR SOLUTIONS OF ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS SATISFYING GENERAL BOUNDARY CONDITIONS .2. [J].