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Application of the Complex Variable Semi-Analytic Method to the Inverse Determination of Unknown Material Properties

[+] Author Affiliations
Weiya Jin

Zhejiang University of Technology, Hangzhou, Zhejiang, China

Brian H. Dennis

University of Texas at Arlington, Arlington, TX

Paper No. DETC2011-48488, pp. 521-526; 6 pages
  • ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 2: 31st Computers and Information in Engineering Conference, Parts A and B
  • Washington, DC, USA, August 28–31, 2011
  • Conference Sponsors: Design Engineering Division and Computers and Information in Engineering Division
  • ISBN: 978-0-7918-5479-2
  • Copyright © 2011 by ASME


There are various engineering applications where it is desired to determine material properties. For example, properties are needed in the development of new functional and composite materials, in non-destructive testing for quality control in manufacturing, and for real-time structural health monitoring. Often it is not possible to measure these properties directly without damaging the samples. However, many properties can be determined inversely using measurements of the sample response to a loading of some type. In this paper, we demonstrate the inverse determination of spatially varying material properties using simulated measurements, finite element modeling, and numerical optimization methods. We consider problems in both heat conduction and linear elasticity. We consider cases where measurements on the interior and boundary are used. The accuracy and efficiency of the inversely determined solution is improved by using accurate sensitivity information provided by the Complex Variable Semi-Analytic Method. The sensitivities also give guidance as to where measurements should be taken on the structure to obtain accurate estimations of the material properties.

Copyright © 2011 by ASME



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