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Tuesday, July 28, 2020 | History

3 edition of Reconstruction of multiple cracks from experimental electrostatic boundary measurements found in the catalog.

Reconstruction of multiple cracks from experimental electrostatic boundary measurements

Kurt Bryan

Reconstruction of multiple cracks from experimental electrostatic boundary measurements

by Kurt Bryan

  • 42 Want to read
  • 37 Currently reading

Published by National Aeronautics and Space Administration, Langley Research Center, National Technical Information Service, distributor in Hampton, Va, [Springfield, Va .
Written in English

    Subjects:
  • Electric conductors -- Cracking -- Mathematical models.,
  • Electrical impedance tomography.

  • Edition Notes

    StatementKurt Bryan, Valdis Liepa, Michael Vogelius.
    SeriesICASE report -- no. 93-96., NASA contractor report -- 191584., NASA contractor report -- NASA CR-191584.
    ContributionsLiepa, Valdis., Vogelius, M., Langley Research Center.
    The Physical Object
    FormatMicroform
    Pagination1 v.
    ID Numbers
    Open LibraryOL15393657M

      () Crack determination from boundary measurements?Reconstruction using experimental data. Journal of Nondestructive Evaluation , () On the construction of a potential from Cauchy data.   i.e., the resulting currents on Γ 1, determine the shape of the interior boundary Γ inverse problem models electrostatic imaging of the boundary shape Γ 0 by imposing a voltage pattern at a number of electrodes attached to the boundary Γ 1 and measuring the resulting currents through the electrodes.. Various applications related to the above model problem are described, for example.

      Reconstruction of cracks of different types from far‐field measurements. Jijun Liu. Department of Mathematics, Southeast University, Nanjing , People's Republic of China which can be used to reconstruct the shape of the cracks, distinguish their types of boundary conditions, the two faces of each of them and reconstruct the possible.   Stability results for linear cracks were derived; Beretta et al proposed in a MUSIC type algorithm for determining the position of these linear cracks from boundary measurements. We note, however, that the case of interest in our present paper is radically different for two main reasons: first, the forcing term is given on the fault, and.

      () Reconstruction of polygonal cavities by two boundary measurements. Journal of Physics: Conference Ser () Reconstruction of inclusions for the inverse boundary value problem with mixed type boundary condition and source term.   Books. Publishing Support. Login. Ikehata M Reconstruction of the support function for inclusion from boundary measurements J. Inv. Ill-Posed Problems 8 Ikehata M and Itou H Reconstruction of a linear crack in an isotropic elastic body from a single set of measured data Inverse Problems 23


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Reconstruction of multiple cracks from experimental electrostatic boundary measurements by Kurt Bryan Download PDF EPUB FB2

The purpose of this presentation is to demonstrate the viability of using Electrical Impedance Tomography (EIT) for the reconstruction of multiple macroscopic cracks.

Through the use of EIT one seeks to determine the interior conductivity properties of a specimen from measurements of electrostatic potentials and currents on the by: 9. Get this from a library. Reconstruction of multiple cracks from Reconstruction of multiple cracks from experimental electrostatic boundary measurements book electrostatic boundary measurements.

[Kurt Bryan; Valdis V Liepa; M Vogelius; Langley Research Center.]. BibTeX @INPROCEEDINGS{Bryan93reconstructionof, author = {Kurt Bryan and Valdis Liepa and Michael Vogelius}, title = {Reconstruction Of Multiple Cracks From Experimental, Electrostatic Boundary Measurements}, booktitle = {IN INVERSE PROBLEMS AND OPTIMAL DESIGN IN INDUSTRY}, year = {}, pages = {}, publisher = {}}.

BibTeX @INPROCEEDINGS{Bryan94reconstructionof, author = {Kurt Bryan and Valdis Liepa and Michael Vogelius}, title = {Reconstruction of multiple cracks from experimental electrostatic boundary measurements}, booktitle = {in Inverse Problems and Optimal Design in Industry}, year = {}, pages = {}}.

A uniqueness result concerning the identification of a collection of cracks from finitely many electrostatic boundary measurements,SIAM J.

Math. Anal. – (). Google Scholar by: () A computational algorithm to determine crack locations from electrostatic boundary measurements.

The case of multiple cracks. International Journal of. We study the inverse problem of determining multiple cracks in a planar conductor by electrostatic measurements at the boundary.

We prove that two measurements at the boundary suffice to identify multiple cracks with any number of components. We treat the problem under no regularity assumptions on the cracks and on the background conductivity.

The Levenberg-Marquardt routine reduces the total least- squares residual from to in 13 iterations and improves the estimate of the crack locations. Y In this paper we have developed a very efficient algorithm for the reconstruction of a collection of cracks based on electrostatic boundary measurements.

Bryan K., Liepa V., and Vogelius M., Reconstruction of multiple cracks from experimental, electrostatic boundary measurements, proceedings of the conference on Inverse Problems and Optimal Design in Industry, July 8–10,Philadelphia PA.

Abstract. We consider an inverse boundary value problem for identifying cracks in a conductive medium. By combining the probe method and an analysis for the behavior of the “reflected solution”, we derive a reconstruction formula for identifying cracks from the Neumann to Dirichlet map.

Reconstruction of multiple cracks from experimental electrostatic boundary measurements. This paper describes an algorithm for recovering a collection of linear cracks in a homogeneous electrical conductor from boundary measurements of voltages induced by speci ed current uxes.

The technique is a variation of Newton's method and is. This paper describes an algorithm for recovering a collection of linear cracks in a homogeneous electrical conductor from boundary measurements of voltages induced by specified current fluxes.

The technique is a variation of Newton's method and is based on taking weighted averages of the boundary data. In this paper we give in two and three dimensions a reconstruction formula for determining cracks buried in an inhomogeneous anisotropic elastic body by making elastic displacement and traction measurements at the boundary.

The information is encoded in. Reconstruction of multiple cracks from experimental electrostatic boundary measurements. An algorithm for recovering a collection of linear cracks in a homogeneous electrical conductor from boundary measurements of voltages induced by specified current fluxes is described.

The technique is a variation of Newton's method and is based on. Reconstruction of Multiple Cracks from Experimental, Electrostatic Boundary Measurements. Pages Bryan, Kurt (et al.) *immediately available upon purchase as print book shipments may be delayed due to the COVID crisis.

ebook access is temporary and does not include ownership of the ebook. Only valid for books with an ebook version. We study the inverse problem of determining multiple cracks in a planar conductor by electrostatic measurements at the boundary.

We prove that two measurements at the boundary suffice to identify. Stability in crack determination from electrostatic measurements at the boundary-a numerical investigation Article (PDF Available) in Inverse Problems 11(5):L17 January with 31 Reads.

Journals & Books; Register Sign in. Vol Issue 4, AprilPages A computational algorithm to determine crack locations from electrostatic boundary measurements.

The case of multiple cracks. Author links open overlay panel Kurt Bryan Michael Vogelius. Show more. The second experiment deals with the reconstruction of a multi-crack consisting of three disconnected components as shown in the center image of the bottom row of Fig.

in the previous example, the results are displayed in a panel of 9 images that show the profiles at different moments of the reconstruction process (see caption), the true profile (at the center of the bottom row), and the.

Tomography (EIT) for the reconstruction of multiple macroscopic cracks. Through the use of EIT one seeks to determine the interior conductivity properties of a specimen from mea- surements of electrostatic potentials and currents on the boundary.

We give a reconstruction procedure to determine cracks embedded in an inhomogeneous anisotropic elastic body by making traction and displacement measurements at the boundary. Reference experimental test on domain without crack inside it, q=3 measurement sets.

Solution displayed after optimization steps. Download: Download full-size image; Fig. Multiple cracks case, q=4 measurement sets, cracks at ρx5,4 and ρy2,6.

Solution displayed after optimization steps. Download: Download full-size image; Fig. Reconstruction of multiple cracks from experimental, electrostatic boundary measurements. In Inverse Problems and Optimal Design in Industry (Eds.

H.W. Engl and J. McLaughlin) Teubner, Stuttgart (), pp. (with K. Bryan and V. Liepa). A computational algorithm to determine crack locations .