# Algorithm for the determination of a linear crack in an elastic body from boundary measurements

Elena Beretta, Elisa Francini, Eunjoo Kim, June Yub Lee

Research output: Contribution to journalArticle

### Abstract

In this paper we consider the inverse problem of identifying a linear inclusion inside an elastic body from exterior boundary measurements. Based on the asymptotic formula by Beretta and Francini (2006 SIAM J. Math. Anal. 38 1249-61), we design an effective reconstruction algorithm to find the endpoints and the thickness of a linear inclusion. Numerical experiments show that the algorithm is effective and stable.

Original language English (US) 085015 Inverse Problems 26 8 https://doi.org/10.1088/0266-5611/26/8/085015 Published - Aug 1 2010

### Fingerprint

Elastic body
Crack
Inclusion
Cracks
Reconstruction Algorithm
Inverse problems
Asymptotic Formula
Inverse Problem
Numerical Experiment
Experiments
Design

### ASJC Scopus subject areas

• Signal Processing
• Computer Science Applications
• Applied Mathematics
• Mathematical Physics
• Theoretical Computer Science

### Cite this

Algorithm for the determination of a linear crack in an elastic body from boundary measurements. / Beretta, Elena; Francini, Elisa; Kim, Eunjoo; Lee, June Yub.

In: Inverse Problems, Vol. 26, No. 8, 085015, 01.08.2010.

Research output: Contribution to journalArticle

@article{6e3874d0286d448d9477f52da343f532,
title = "Algorithm for the determination of a linear crack in an elastic body from boundary measurements",
abstract = "In this paper we consider the inverse problem of identifying a linear inclusion inside an elastic body from exterior boundary measurements. Based on the asymptotic formula by Beretta and Francini (2006 SIAM J. Math. Anal. 38 1249-61), we design an effective reconstruction algorithm to find the endpoints and the thickness of a linear inclusion. Numerical experiments show that the algorithm is effective and stable.",
author = "Elena Beretta and Elisa Francini and Eunjoo Kim and Lee, {June Yub}",
year = "2010",
month = "8",
day = "1",
doi = "10.1088/0266-5611/26/8/085015",
language = "English (US)",
volume = "26",
journal = "Inverse Problems",
issn = "0266-5611",
publisher = "IOP Publishing Ltd.",
number = "8",

}

TY - JOUR

T1 - Algorithm for the determination of a linear crack in an elastic body from boundary measurements

AU - Beretta, Elena

AU - Francini, Elisa

AU - Kim, Eunjoo

AU - Lee, June Yub

PY - 2010/8/1

Y1 - 2010/8/1

N2 - In this paper we consider the inverse problem of identifying a linear inclusion inside an elastic body from exterior boundary measurements. Based on the asymptotic formula by Beretta and Francini (2006 SIAM J. Math. Anal. 38 1249-61), we design an effective reconstruction algorithm to find the endpoints and the thickness of a linear inclusion. Numerical experiments show that the algorithm is effective and stable.

AB - In this paper we consider the inverse problem of identifying a linear inclusion inside an elastic body from exterior boundary measurements. Based on the asymptotic formula by Beretta and Francini (2006 SIAM J. Math. Anal. 38 1249-61), we design an effective reconstruction algorithm to find the endpoints and the thickness of a linear inclusion. Numerical experiments show that the algorithm is effective and stable.

UR - http://www.scopus.com/inward/record.url?scp=77955352850&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77955352850&partnerID=8YFLogxK

U2 - 10.1088/0266-5611/26/8/085015

DO - 10.1088/0266-5611/26/8/085015

M3 - Article

AN - SCOPUS:77955352850

VL - 26

JO - Inverse Problems

JF - Inverse Problems

SN - 0266-5611

IS - 8

M1 - 085015

ER -