Elastic impedance tomography

Gen Nakamura; Gunther Uhlmann

Elastic impedance tomography

Gen Nakamura^*, Gunther Uhlmann

^*Corresponding author for this work

Research output: Chapter in Book/Conference Proceeding/Report › Book Chapter › peer-review

Abstract

As a mathematical model of nondestructive testing for an elastic medium we consider the inverse problem of determining the elastic tensor of the medium from its associated Dirichlet to Neumann map. This is an analogue to the inverse problem of electric impedance tomography which consists in determining the electrical conductivity of a medium from its associated Dirichlet to Neumann map. We give an overview of the recent developments on this area. We also give an application of the results to the inverse scattering problem at a fixed energy for an elastic medium.

Original language	English
Title of host publication	15th Biennial Conference on Mechanical Vibration and Noise
Editors	K.W. Wang, B. Yang, J.Q. Sun, K. Seto, K. Yoshida, al et al
Edition	3 Pt C
Publication status	Published - 1995
Externally published	Yes
Event	Proceedings of the 1995 ASME Design Engineering Technical Conference. Part C - Boston, MA, USA Duration: 17 Sept 1995 → 20 Sept 1995

Publication series

Name	American Society of Mechanical Engineers, Design Engineering Division (Publication) DE
Number	3 Pt C
Volume	84

Conference

Conference	Proceedings of the 1995 ASME Design Engineering Technical Conference. Part C
City	Boston, MA, USA
Period	17/09/95 → 20/09/95

Cite this

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title = "Elastic impedance tomography",

abstract = "As a mathematical model of nondestructive testing for an elastic medium we consider the inverse problem of determining the elastic tensor of the medium from its associated Dirichlet to Neumann map. This is an analogue to the inverse problem of electric impedance tomography which consists in determining the electrical conductivity of a medium from its associated Dirichlet to Neumann map. We give an overview of the recent developments on this area. We also give an application of the results to the inverse scattering problem at a fixed energy for an elastic medium.",

author = "Gen Nakamura and Gunther Uhlmann",

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booktitle = "15th Biennial Conference on Mechanical Vibration and Noise",

edition = "3 Pt C",

note = "Proceedings of the 1995 ASME Design Engineering Technical Conference. Part C ; Conference date: 17-09-1995 Through 20-09-1995",

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Nakamura, G & Uhlmann, G 1995, Elastic impedance tomography. in KW Wang, B Yang, JQ Sun, K Seto, K Yoshida & A et al (eds), 15th Biennial Conference on Mechanical Vibration and Noise. 3 Pt C edn, American Society of Mechanical Engineers, Design Engineering Division (Publication) DE, no. 3 Pt C, vol. 84, Proceedings of the 1995 ASME Design Engineering Technical Conference. Part C, Boston, MA, USA, 17/09/95.

Elastic impedance tomography. / Nakamura, Gen; Uhlmann, Gunther.
15th Biennial Conference on Mechanical Vibration and Noise. ed. / K.W. Wang; B. Yang; J.Q. Sun; K. Seto; K. Yoshida; al et al. 3 Pt C. ed. 1995. (American Society of Mechanical Engineers, Design Engineering Division (Publication) DE; Vol. 84, No. 3 Pt C).

Research output: Chapter in Book/Conference Proceeding/Report › Book Chapter › peer-review

TY - CHAP

T1 - Elastic impedance tomography

AU - Nakamura, Gen

AU - Uhlmann, Gunther

PY - 1995

Y1 - 1995

N2 - As a mathematical model of nondestructive testing for an elastic medium we consider the inverse problem of determining the elastic tensor of the medium from its associated Dirichlet to Neumann map. This is an analogue to the inverse problem of electric impedance tomography which consists in determining the electrical conductivity of a medium from its associated Dirichlet to Neumann map. We give an overview of the recent developments on this area. We also give an application of the results to the inverse scattering problem at a fixed energy for an elastic medium.

AB - As a mathematical model of nondestructive testing for an elastic medium we consider the inverse problem of determining the elastic tensor of the medium from its associated Dirichlet to Neumann map. This is an analogue to the inverse problem of electric impedance tomography which consists in determining the electrical conductivity of a medium from its associated Dirichlet to Neumann map. We give an overview of the recent developments on this area. We also give an application of the results to the inverse scattering problem at a fixed energy for an elastic medium.

UR - https://www.scopus.com/pages/publications/0029430346

M3 - Book Chapter

AN - SCOPUS:0029430346

T3 - American Society of Mechanical Engineers, Design Engineering Division (Publication) DE

BT - 15th Biennial Conference on Mechanical Vibration and Noise

A2 - Wang, K.W.

A2 - Yang, B.

A2 - Sun, J.Q.

A2 - Seto, K.

A2 - Yoshida, K.

A2 - et al, al

T2 - Proceedings of the 1995 ASME Design Engineering Technical Conference. Part C

Y2 - 17 September 1995 through 20 September 1995

ER -

Elastic impedance tomography

Abstract

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