On the identification of planar cracks in elasticity via reciprocity gap concept

被引:22
作者
Andrieux, S
BenAbda, A
Bui, HD
机构
[1] IPEST,TUNIS 1002,TUNISIA
[2] ECOLE NATL INGN TUNIS,LAB MATH APPL,TUNIS 1002,TUNISIA
[3] ECOLE POLYTECH,MECAN SOLIDES LAB,F-91128 PALAISEAU,FRANCE
来源
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 1997年 / 324卷 / 12期
关键词
D O I
10.1016/S0764-4442(97)83588-4
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We consider the problem of identifying one or more planar cracks by overspecified boundary data corresponding to elastostatic equation. We give a direct process to locate the crack plane and we establish a new constructive identifiability result for 3D planar cracks.
引用
收藏
页码:1431 / 1438
页数:8
相关论文
共 10 条
[1]  
ALESSANDRINI G, 1994, QUAD MAT U TRIESTE
[2]  
Alessandrini G., 1988, Appl. Anal., V27, P153, DOI [10.1080/00036818808839730, DOI 10.1080/00036818808839730]
[3]  
ANDREIEUX S, 1995, CR ACAD SCI PARIS 1, V320
[4]  
ANDRIEUX S, 1992, CR ACAD SCI PARIS 1
[5]  
ANG DD, 1995, 9557 UTMS U TOK GRAD
[6]  
BANOUR T, 1996, 3063 INRIA
[7]  
Brezis H., 1999, Analyse fonctionnelle: Theorie et applications
[8]   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
[9]  
CALDER\ON A.-P., 1980, Seminar on Numerical Analysis and its Applications to Continuum Physics, Rio de Janeiro, 1980, P65, DOI DOI 10.1590/S0101-82052006000200002
[10]   DETERMINING CRACKS BY BOUNDARY MEASUREMENTS [J].
FRIEDMAN, A ;
VOGELIUS, M .
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1989, 38 (03) :527-556