Reciprocity principle and crack identification

被引:73
作者
Andrieux, S
Ben Abda, A
Bui, HD
机构
[1] EDF, Direct Etud & Rech, F-92141 Clamart, France
[2] IPEST, Tunis 1002, Tunisia
[3] ENIT LAMSIN, Tunis 1002, Tunisia
[4] EDF, Direct Etud & Rech, F-91128 Palaiseau, France
[5] Ecole Polytech, Mecan Solides Lab, F-91128 Palaiseau, France
关键词
D O I
10.1088/0266-5611/15/1/010
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we are concerned with the planar crack identification problem defined by a unique complete elastostatic overdetermined boundary datum. Based on the reciprocity gap principle, we give a direct process for locating the host plane and we establish a new constructive identifiability result for 3D planar cracks.
引用
收藏
页码:59 / 65
页数:7
相关论文
共 8 条
[1]  
ALESANDRINI G, 1994, QUAD MAT U TRIESTE
[2]  
ANDRIEUX S, 1992, CR ACAD SCI I-MATH, V315, P1323
[3]  
ANDRIEUX S, 1995, C R ACAD SCI PARIS 1
[4]   A semi-explicit algorithm for the reconstruction of 3D planar cracks [J].
Bannour, T ;
BenAbda, A ;
Jaoua, M .
INVERSE PROBLEMS, 1997, 13 (04) :899-917
[5]  
Bresis H., 1983, ANAL FONCTIONNELLE
[6]   A UNIQUENESS RESULT CONCERNING THE IDENTIFICATION OF A COLLECTION OF CRACKS FROM FINITELY MANY ELECTROSTATIC BOUNDARY MEASUREMENTS [J].
BRYAN, K ;
VOGELIUS, M .
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1992, 23 (04) :950-958
[7]  
Calderon A.P., 1980, Seminar on Numerical Analysis and its Applications to Continuum Physics, Rio de Janeiro, 1980, P65, DOI DOI 10.1590/S0101-82052006000200002
[8]   DETERMINING CRACKS BY BOUNDARY MEASUREMENTS [J].
FRIEDMAN, A ;
VOGELIUS, M .
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1989, 38 (03) :527-556