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Material Property Estimation Using Nonlinear Inversion

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Book cover Review of Progress in Quantitative Nondestructive Evaluation

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Abstract

Nonlinear inversion is the process of estimating material property values from a set of measured data. The map between the parameters and the measured data is a mathematical model. The specific mathematical model to be used in this study is the acoustic wave equation. This equation is linear in the field variable; however, it is nonlinear in the model parameter.

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References

  1. Y. Bard, Nonlinear Parameter Estimation (Academic Press, Inc., 1974 ).

    MATH  Google Scholar 

  2. W. Menke, Geophysical Data Analysis: Discrete Inverse Theory (Academic Press, Inc., 1984 ).

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  3. D. W. Marquardt, An Algorithm for Least Squares Estimation on Nonlinear Parameters, J. Soc. Ind. Appl. Math., 1963, No. 2, pp. 431–441.

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Author information

Authors and Affiliations

  1. Applied Research Department M/S 244, Thiokol Corporation, P.O. Box 707, Brigham City, Utah, 84302-0707, USA

    William R. Petrick & Lee H. Pearson

Authors
  1. William R. Petrick
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  2. Lee H. Pearson
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Editor information

Editors and Affiliations

  1. Center for NDE Ames Laboratory (USDOE) and Department of Engineering Science and Mechanics, Iowa State University, 50011, Ames, Iowa, USA

    Donald O. Thompson

  2. Center for NDE and Department of Materials Science and Engineering, The Johns Hopkins University, 21218, Baltimore, Maryland, USA

    Dale E. Chimenti

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© 1990 Springer Science+Business Media New York

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Petrick, W.R., Pearson, L.H. (1990). Material Property Estimation Using Nonlinear Inversion. In: Thompson, D.O., Chimenti, D.E. (eds) Review of Progress in Quantitative Nondestructive Evaluation. Review of Progress in Quantitative Nondestructive Evaluation. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-5772-8_11

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  • DOI: https://doi.org/10.1007/978-1-4684-5772-8_11

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4684-5774-2

  • Online ISBN: 978-1-4684-5772-8

  • eBook Packages: Springer Book Archive

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